Answer: -4/3
Step-by-step explanation: Plug the points into the formula \(\frac{x_{2} - x_{1}}{y_{2} -y_{1} }\)
how many days could a 60kg deer survive without food at -20 degrees - has 5kg of fat
18 days
The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.
The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.
It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.
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Complete Question
How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?
Select the correct answer. The parent function f(x) = |x| is transformed to g(x) = f(-x + 1). Which is the graph of g?
The graph of the function g(x) is graph (d)
How to determine the graph of g(x)From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we can see that
f(x) = |x|
g(x) = f(-x + 1)
using the above as a guide, we have the following:
g(x) = |-x + 1|
This means that the transformation of f(x) to g(x) is f(x) is reflect across the y-axis and shifted left by 1 units to g(x).
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3. A savings account is started with an initial deposit of $1500.
The account earns 1. 8% interest compounded annually.
(a) Write an equation to represent the amount of money in
the account as a function of time in years. 5 Points
Use the camera tool to insert picutres of your handwritten work or use the pen tool and a
stylus on a touchscreen device to handwrite your work.
AK12 4
Main answer :A savings account with an initial deposit of $1500 will have a balance of $2017.84 after five years with an interest rate of 5% compounded annually.
Supporting explanation: In the given problem, the principal amount is $1500. We are supposed to find the balance after five years with an interest rate of 5% compounded annually.
We can use the formula for compound interest to find the balance. The formula for compound interest is given by the following :Future Value = Present Value * (1 + (Interest Rate / n))^(n * Time) .Here ,Present Value (P) = $1500Interest Rate (r) = 5% or 0.05 (decimal)Time (t) = 5 years n = number of times compounded annually = 1 (annually)Using these values in the formula, we get: Future Value = $1500 * (1 + (0.05 / 1))^(1 * 5)Future Value = $1500 * (1.05)^5Future Value = $2017.84Therefore, the balance after five years will be $2017.84.
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Yusuf sat 8 examinations.
Here are his marks for 5 of the examinations.
68 72 75 77 80
For his results in all 8 examinations
the mode of his marks is 80
the median of his marks is 74
the range of his marks is 16
Find Yusuf’s marks for each of the other 3 examinations.
Yusuf remaining observations, considering the statistical measures, are given as follows:
64, 73, 80.
What are the statistical measures in this problem?There are four statistical measures used in this problem, which are:
Median.Mode.Range.The mode is the observation that appears the most times, hence one of the remaining observations is of 80.
The median is the middle value of the data-set, which is the value of which 50% of the measures are less than and 50% of the measures are greater than.
In this problem, the data-set has an even cardinality, hence the median is the mean of the 4th and of the 5th element, hence, considering the median of 74, the missing element is given as follows:
(x + 75)/2 = 74.
x + 75 = 148
x = 73.
The range is the difference between the largest value and the smallest value in the data-set.
Considering the range of 16 and the highest value of 80, the remaining value is given as follows:
80 - x = 16
x = 80 - 16
x = 64.
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Use the rectangular prism to answer the question.
4.5 cm
3.5 cm
2.4 cm
What is the volume of the rectangular prism?
O A 10.4 cm
OB. 18.9 cm
OC. 30.0 cm
OD. 37.8 cm
O E 60.0 cm
Answer:
37.8
Step-by-step explanation:
length x width x height
4.5 x 3.5 x 2.4 = 37.8
a ramp goes from a doorway of a building to the ground. the end of the ramp connected to the doorway is foot above the ground. the horizontal distance from the bottom of the ramp to the building is feet. what is the angle of elevation of the ramp to the nearest degree?
On the basis of given informations and values the angle of elevation of the ramp is calculated to be approximately 22 degrees.
We can use the tangent function to find the angle of elevation of the ramp. Let's call the height of the ramp "h" and the horizontal distance from the bottom of the ramp to the building "d". Then the tangent of the angle of elevation θ is given by:
tan θ = h/d
Substituting the given values, we get:
tan θ = 6/15
Simplifying this expression, we get:
tan θ = 0.4
To find the angle θ, we can take the inverse tangent (or arctan) of both sides of the equation:
θ = tan⁻¹ (0.4)
Using a calculator, we get:
θ ≈ 21.8 degrees
Therefore, the angle of elevation of the ramp to the nearest degree is 22 degrees.
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write an expression that converts 1000 pages per second to pages per hour.
Answer:
1,000h
Step-by-step explanation:
After Dan makes a basket, Josephine claims she can find the amount of time the ball was in the air (from the time it leave's Dan's hand to the time it enters the basket),
Josephine says she can do this by using Dan's equation (1) = -1649 +18 + 8) and setting the equation equal to zero. Dan doesn't think Josephine's thinking is correct.
Who do you agree with?
Explain your reasoning using mathematical evidence.
Answer:
Step-by-step explanation:
The function is to blurry to see but you would not set the height function equal to zero. Instead h should be set to the height of the basket. The time elapsed would be the second time the ball was at the height of the basket. If I guess what the function is as
-16t^2+18t+8=10
-16t^2+18t-2=0
-16t^2+16t+2t-2=0
-16t(t-1)+2(t-1)=0
(-16t+2)(t-1)=0
So the ball is at 10ft at 0.125s and 1s. So it enters the hoop after 1 second. Of course this is dependent on if I guessed at the correct equation from the picture.
John's son will start college in 10 years. John estimated a today's value of funds to finance college education of his son as $196,000. Assume that after-tax rate of return that John is able to earn from his investment is 8.65 percent compounded annually. He does not have this required amount now. Instead, he is going to invest equal amounts each year at the beginning of the year until his son starts college. Compute the annual beginning of-the-year payment that is necessary to fund the estimation of college costs. (Please use annual compounding, not simplifying average calculations).
John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.
To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.
The present value of an annuity formula is given by:
P = A * [(1 - (1 + r)^(-n)) / r],
where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:
196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].
Simplifying the expression inside the brackets:
196,000 = A * (1 - 0.469091).
196,000 = A * 0.530909.
Dividing both sides by 0.530909:
A = 196,000 / 0.530909.
A ≈ 369,238.68.
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The angle on f depression between a bird and its prey is 70%. If the bird is 18 feet off the ground, what is the distance between the bird and its prey? Round your answer to the nearest foot.
The distance between the bird and its prey is 19 feet. The solution has been obtained by using trigonometry.
What is trigonometry?
The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry."
We are given that the angle on f depression between a bird and its prey is 70%.
This means that Theta = 70°
Also, the height of the bird from the ground is 18 feet.
Using trigonometry, we get
⇒sin theta = perpendicular side/hypotenuse
⇒sin 70 = 18/hypotenuse
⇒Hypotenuse = 18/sin 70
⇒Hypotenuse = 19.1 ≈ 19 feet
Hence, the distance between the bird and its prey is 19 feet.
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Letf(x, y) = 2ex − y.Find the equation for the tangent plane to the graph of f at the point
The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).
To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.
The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.
Let's calculate these partial derivatives:
fₓ = d/dx(2e^x - y) = 2e^x
fᵧ = d/dy(2e^x - y) = -1
Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.
At the point (a, b), the equation for the tangent plane is given by:
z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)
Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:
z - f(a, b) = 2e^a(x - a) - (y - b)
Now, let's substitute f(a, b) = 2e^a - b:
z - (2e^a - b) = 2e^a(x - a) - (y - b)
Rearranging and simplifying:
z = 2e^a(x - a) - (y - b) + 2e^a - b
The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.
This equation represents the plane that is tangent to the graph of f at the specified point (a, b).
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in what ways are the two sides of the display similar? the majority of observations are between 5 and 9 mpa for both sets of data.
The different sides of the showcase are comparable in that the two of them have a greater part of perceptions in the scope of 5 to 9 MPa.
The different sides of the showcase seem to have comparable dispersion designs, with most of perceptions falling inside the 5 to 9 MPa range. This proposes that there might be some hidden element that is making the qualities on the two sides be packed here, conceivably a typical estimation or handling technique.
Nonetheless, without additional data about the information and what it addresses, it is challenging to say for specific what may be driving this likeness. In any case, the comparative conveyance examples of the two arrangements of information are significant and investigating further.
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Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day working and already has $12 saved, which equation shows how many days Marco must work before he can afford the shoes?
A
3d = 57
B
3d – 12d = 57
C
3d = 45
D
3d – 12 = 57
Answer:
C
Step-by-step explanation:
Because 57 - 12 =
Boris chosen three different numbers. The sum of the numbers is 36. One of the numbers is a cube number the other two numbers are factors of 20. Find the three numbers chosen by Boris. Write the numbers in ascending order
Answer:
27,4,5
Step-by-step explanation:
27³=3
4×5=20
27+4+5=36
AB is parallel to CD. Find the measure of each numbered angle.
Answer:
#4 angle 1 = 154 degrees
#4 angle 2 = 26 degrees
#5 angle 1 = 97 degrees
#5 angle 2 = 82 degrees
#5 angle 3 = 83 degrees
Step-by-step explanation:
The image displays which angles are the same on line equations like these using color coding.
In order to translate between the green angle and the pink angle you subtract it from 180.
Equation: 180 - angle type 1 = angle type 2
Ex: 180 - 154 = 26
Which number would make this number sentence true? (3 + 2) x ? = 5 x 8
Answer:
8
Step-by-step explanation:
3+2=5
5 x 8 = 5 x 8
Answer:
8
Step-by-step explanation:
2 numbers are in perenticies so do them first 3+2 = 5 Then wait dont do nothing with that do 5x8 to get what to need to get 5 x? to witch is
40 so 8 would be the correct answer
are the 2 triangles congruent?
Answer:
Yes
Step-by-step explanation:
They are just in the opposite side
what is the answer to the file attached.
Answer:
88
Step-by-step explanation:
The formula for a parallelogram to find the area is:
B x h
So, the numbers we are given is the:
base: 11
height: 8
slant height: 9
We do not need the slant height for finding the area, so we can just substitute the base and height values into the equation:
8 x 11
=88
So, the area of this parallelogram is 88 square units
Hope this helps :)
Choose the base two answer for 101111Two - 11101Two
The base two answer for 101111Two - 11101Two is 11010Two.
To subtract two binary numbers, we follow the same rules as subtraction in base 10. We start from the rightmost digits and subtract them, carrying over if necessary. Let's perform the subtraction step by step:
1 0 1 1 1 1
- 1 1 1 0 1
____________________
1 1 0 1 0
Starting from the rightmost digit, we subtract 1 from 1, which gives us 0. Moving to the next digit, we subtract 0 from 1, resulting in 1. Continuing this process, we subtract 1 from 1, giving us 0, and subtract 1 from 0, which requires borrowing from the leftmost digit. Therefore, we change the 0 to 1 and borrow 1, resulting in 10. Finally, we subtract 1 from 1, giving us 0.
Therefore, the base two answer for 101111Two - 11101Two is 11010Two.
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An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
the hypotenuse of a right triangle is sqrt(73) in. the sum of the lengths of the legs is 11 in. find the lengths of the legs
The length of legs are 8 in and 4 in , when hypothenuse is √73 in
The Pythagorean Theorem states that a right triangle's hypotenuse (the side across from the right angle) has a square perimeter equal to the sum of its legs
Formula : a² + b² = c²
Where , a and b are legs and c is hypotenuse
According to the question,
Hypothenuse of right angle triangle : c =√73
sum of legs => 11 = a + b
Using Pythagoras theorem ,
a² + b² = c²
=> a² + b² = (√73)²
=> a² + b² = 73 ---------(1)
As we know ,
(a + b)² = a² + b² + 2ab
=> a² + b² = (a + b)² -2ab
Substituting the value in equation (1)
=> (a + b)² -2ab = 73
=> 11² - 2ab = 73
=> 2ab = 121 - 73
=> 2ab = 48
=> ab = 24
=> a = 24/b
Substituting the value of a,
24/b + b = 11
=> 24 + b² = 11b
Solving the quadratic equation,
b = 8 , 3
Therefore , When a = 3 , b = 8
and when a = 8 , b = 3
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some alkenes have geometric cis trans isomers because
Some alkenes have geometric cis-trans isomers because of the presence of a double bond between two carbon atoms. In a carbon-carbon double bond, the carbon atoms are connected to two different groups of atoms, which can be oriented differently in space. In the cis configuration, the two substituent groups on each carbon atom are on the same side of the double bond, while in the trans configuration, the two substituent groups on each carbon atom are on opposite sides of the double bond.
The cis-trans isomerism arises due to the restricted rotation around the carbon-carbon double bond. In the case of cis isomers, the substituent groups are too bulky to rotate around the double bond, and they remain on the same side of the double bond. In contrast, in the trans isomers, the substituent groups are oriented on opposite sides of the double bond, which allows them to rotate freely around the bond.
The presence of cis-trans isomers has important consequences for the physical and chemical properties of alkenes, including their reactivity, solubility, and melting points. The two isomers can have different properties and can exhibit different biological activities, making them important targets for drug design and synthesis.
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Natasha drives at a speed of 80 miles per hour.
How long will it take to drive 440 miles?
Answer:
5.5 hours
Step-by-step explanation:
Which values of x satisfy the equation?
x2−4x−2=−x2+4
Given f(x) = x^2 + 2x and g(x) = 6 – x2, find f + 9,7-9, fg, and I Determine the domain for each function in interval notation.
The domain of a function is the set of input values the function can take
The domain of the function is all sets of real numbers
How to determine the domain?The functions are given as:
f(x) = x^2 + 2x
g(x) = 6 - x^2
Start by calculating (f + g)(x) using:
(f + g)(x) = f(x) + g(x)
So, we have:
(f + g)(x) = x^2 +2x + 6 - x^2
This gives,
= 2x - 6
There is no restriction as to the input values in the above function.
Hence, the domain of the function is all sets of real numbers.
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Which resource in Tableau can you use to ask questions, get answers, and connect with other Tableau users? Select an answer: Manuals & Guides How-To & Troubleshooting Data Source Page Community
The resource in Tableau that you can use to ask questions, get answers, and connect with other Tableau users is the Community.
The Tableau Community is a resource where users can connect with other Tableau users, ask questions, share knowledge, and get support. It is a platform for collaboration and learning, where users can find answers to their questions and learn from others in the community. The Community includes forums, user groups, blogs, and other resources where users can share ideas, best practices, and tips and tricks. It is a great resource for anyone looking to improve their Tableau skills or get help with a specific issue. The Tableau Community is a valuable tool for users of all skill levels, from beginners to experts, and is an essential part of the Tableau ecosystem.
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1. Define the variables you will use in your model. (2 points)
2. Write an inequality representing the total cost of your purchase. (3 points)
a. Each pound of fruit costs $4. Write an expression that shows the total cost of
the fruit. Use the variable you identified in question 1.
Answer:
the awnser is use for the variable for fruit
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
noice
Step-by-step explanation:
becuase o=boice
Question 10(Multiple Choice Worth 2 points)
(Comparing Data MC)
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Question 11(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
The number of carbohydrates from 10 different tortilla sandwich wraps sold in a grocery store was collected.
Which graphical representation would be most appropriate for the data, and why?
Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data point
Stem-and-leaf plot, because you can see each individual data point
Question 12(Multiple Choice Worth 2 points)
(Comparing Data MC)
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10, 16, 20, and 28. There are two dots above 8 and 14. There are three dots above 18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 14, with a median of 14
Bus 18, with a mean of 12
Bus 14, with a mean of 14
Bus 18, with a median of 12
Question 13(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 14(Multiple Choice Worth 2 points)
(Circle Graphs LC)
Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.
Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54
If a circle graph was constructed from the results, which lake activity has a central angle of 39.6°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
Question 15(Multiple Choice Worth 2 points)
(Making Predictions MC)
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
900
2,000
2,100
4,000
Q10: The answer is Burger Quick, Q11: The answer is Histogram ,Q12: The answer is Bus 18 ,Q13: The answer is the IQR is the best measure of variability,Q14: The answer is Paddleboarding ,Q15: The answer is 2,100
what is measure of variability ?
In statistics, the measure of variability is a term that refers to how spread out or dispersed a set of data is. In other words, it is a measure of how much the data points in a given set differ from each other.
In the given question,
Question 10: The answer is Burger Quick, because it has a larger median.
Question 11: The answer is Histogram, because it is the best graphical representation for displaying continuous data, like the number of carbohydrates in tortilla sandwich wraps.
Question 12: The answer is Bus 18, with a median of 12, because the median is the best measure of center to use for skewed data, and Bus 18 has a lower median than Bus 14.
Question 13: The answer is the IQR is the best measure of variability, and it equals 2.5, because the IQR is the best measure of variability to use for skewed data, and it is calculated as the difference between the 75th percentile and the 25th percentile, which in this case is 9 - 6.5 = 2.5.
Question 14: The answer is Paddleboarding, because the central angle can be calculated as (54/100) * 360 = 194.4°, and Paddleboarding has the closest central angle to 39.6°.
Question 15: The answer is 2,100, because you can use proportions to estimate that 63/150 of the sample prefers ketchup their hot dog, and then apply that proportion to the total attendance: (63/150) * 5,000 = 2,100.
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Solving Equations with Variables on Both Sides
Answer: x=-9
Step-by-step explanation: First, combine like terms. 3x+4-2x=-5
Then x+4 = -5
x=-9