The value of x = 1 when the value of the function h(x) = 4.
What is a function?The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
Given that,
h(x)= 3x+1
The value of h(x) = 4:
4 = 3x + 1
4 - 1 = 3x
3x = 3
x = 1
Hence, the value of x = 1 when the value of the function h(x) = 4.
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How many solutions does this equation have?
–4k − 13 = 19 − 8k + 20
Answer: k = 13
Step-by-step explanation:
find the nth term of 1,6,11,16
Answer:
5n-4
Step-by-step explanation:
The rule of the sequence is 5n-4.
If n=1 then 5(1)-4=1 because 5x1=5 and 5-4=1
If n=2 then 5(2)-4=6 because 5x2=10 and 10-4=6
If n=2 then 5(3)-4=11 because 5x3=15 and 15-4=11
If n=2 then 5(4)-4=16 because 5x4=20 and 20-4=16
What are the zeros of the quadratic function?
y = x^2 - 2x - 15
Answer:
\(x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}\)
Step-by-step explanation:
\(-> 0=2x^2-2x-15\)
-zeros means the solution aka x intercept, meaning y=0
\(x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}\)
=> according to quadratic formula
\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)
where \(ax^2+bx+c=0\)
=> \(x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}\)
simplify
\(x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}\)
\(x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}\)
Cannot simplify farther
a journalist for an automotive magazine wants to determine how the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; the maximum number of passengers; and its safety rating on a 5-point scale. what is the correct format for a multiple regression equation?
the correct format for a multiple regression equation is
ŷ= \(b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}\)
multiple regression: The relationship between a single dependent or criterion variable and multiple independent or predictor variables is typically explained by multiple regression. The constant term and multiple independent variables with their corresponding coefficients are used to model a dependent variable. The term "multiple regression" refers to the fact that it requires two or more predictor variables.
because, the weight of a passenger vehicle, in kilograms, is related to its length, in centimeters; and the maximum number of passengers.
thus, ŷ=\(b_{o} + b_{1}x_{1} + b_{2}x_{2} + b_{3}x_{3} + b_{4}x_{4}\) is the multiple regression equation.
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answer my question plz im really stuck on it plz!
Answer:
c
Step-by-step explanation:not sure if im right
Answer:
E. $1,120
Step-by-step explanation:
house payment and utilities altogether takes up 35% of the family's monthly budget. 0.35•3200=1120.
Please answer.
Answer:
c. 50/1
Step-by-step explanation:
i hope this helps :)
A train is spotted 10 miles south and 8 miles west of an observer at 2:00 pm. At 3:00 pm the train is spotted 5 miles north and 16 miles east of the observer.
a.) How far did the train travel in the first hour?
b.) If the train continues at this pace where will it be in relation to the observer at 5:00 pm?
c.) Write a function that will give the train's position at any given time.
d.) At 2:00 pm a cyclist is traveling due east and is next to the observer. If the cyclist is traveling at 10 mph, do they collide with the train when the bike goes over the train tracks?
This question is not a good question to ask, it is confusing, and is to complex, In brainly you are supposed to post 1 question at a time not 2 in 1 3in 1 4 in 1 e.t.c.
Sorry i couldnt help you, if you were to post separate questions i would be able to
PLS HELP ASAP
look at the pic
Answer:
Step-by-explanation:
The correct answer isn’t a choice, not to mention all of those options are in meters squared....which would make those windows massive, larger than the square footage of most houses.
Which equation, when solved gives the 8 the value of X?
Answer:
C
Step-by-step explanation:
Answer: your answer is C
Step-by-step explanation:
5x/4 -2=6x/4-4
+4 +4
5x/4+2=6x/4
-5x/4
2=x/4
*4
x=8
how long will 24 cans of soda last?
Answer:
it depends on the circumstances
Step-by-step explanation:
Answer:
6-9 months I'm pretty sure
Solve for x. 8/9x=32
Answer:
0.44444444444
Step-by-step explanation:
In this division problem what is the divined of 2/3 divided by 6/5
Answer:
5/9
Step-by-step explanation:
brainliest when possible.
What does it mean for two quantities to be inversely proportional to each other?.
The two quantities to be inversely proportional to each other when one quantity's value rises relative to another's decline or vice versa
What is Proportionality?
The two sequences of numbers are proportional or directly proportional if the ratio between the corresponding elements of two sequences of numbers, typically experimental data, is constant and is known as the coefficient of proportionality constant.
When one quantity's value increases relative to another's drop or vice versa, they are said to be inversely proportionate. It suggests that the two quantities have different fundamental behaviors. For instance, there is an inverse relationship between time and speed.
As you increase the speed, the time gets shorter. Other names for this type of percentage in this context include reciprocal proportion, inverse proportion, oscillating inversely, and inverse variation. The expression for X and Y, two variables having inverse proportions, is;
x 1/y or x y-1
As a result, when one quantity's value increases in comparison to another's decrease or vice versa, the two values are said to be inversely proportional to one another.
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The Robinsons’ old dryer cost them $545 per year to run. The new one they purchased for $1,025.00 will save them 18% annually in energy costs to run it. In how many years will it pay for itself?
The Robinsons can expect to save approximately $98.10 annually with their new dryer and will need to use it for 10.45 years to make up for the initial cost of $1,025.00.
To calculate the number of years it will take for the new dryer to pay for itself, we need to determine the amount of money the Robinsons will save annually with the new dryer.
The old dryer cost $545 per year to run, while the new dryer will save 18% annually in energy costs.
To find out how much the new dryer will cost to run annually, we can multiply the old cost by (100%-18%) or 82%.
$545 x 0.82 = $446.90
This means that the Robinsons will save $545 - $446.90 = $98.10 annually with the new dryer.
To determine how many years it will take for the new dryer to pay for itself, we need to divide the cost of the new dryer by the annual savings.
$1,025.00 / $98.10 = 10.45 years
Therefore, it will take approximately 10.45 years for the new dryer to pay for itself in energy cost savings.
In conclusion, the Robinsons can expect to save approximately $98.10 annually with their new dryer and will need to use it for 10.45 years to make up for the initial cost of $1,025.00.
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A cell phone weighs about 2.8 times 10 Superscript n pounds. Which value of n is most reasonable?
I would say n ≈ -1
a cell phone weighs less than a pound, so the reasonable answer would be n ≈ -1
If you substitute -1 in it will look like this.
\(2.8 *10^{-1} =0.28\) pounds
Answer:
-1
Step-by-step explanation:
I took the quiz :)
how many line segments are needed to connect 20 points in a plane so that each pair of points are the endpoints of a line segment
Can I have help on this? I will award brainliest to whoever gives me the correct answer.
I think it is the last one
The greatest common factors of the expressions 48ab² and 32a²bare,
⇒ 2⁴ ab
What is Greatest common factors?The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
The expressions are,
⇒ 48ab²
⇒ 32a²b
Now,
GCD of 32, 48 = 16
And, GCD of (ab²) and (a²b) = ab
Thus, The greatest common factors of the expressions 48ab² and 32a²b are,
⇒ 16 ab
⇒ 2⁴ ab
Hence, The greatest common factors of the expressions 48ab² and 32a²bare,
⇒ 2⁴ ab
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Beth has b books. Andy has 59 more books than Beth. Write an expression that shows how many books Andy has.
Answer:
59+b or b+59
Step-by-step explanation:
If b is Beth, then 59+b is Andy.
The number of books Andy has is b+59 or 59+b
I really need help I don't know how to solve this. : (
An object is traveling at a steady speed of 9 9/10 mi/h. How long will it take the object to travel 2 1/10 mi? First round to the nearest integer to find the estimated answer. Then find the exact answer.
Answer:
12.73 mins
Step-by-step explanation:
velocity: 9.9 mi/h
distance: 2.1 mi
d=vt
t = d/v = 2.1/9.9 = 0.21h
convert to minutes: 2.1/9.9 x 60 = 12.73 min
box with a square base and open top must have a volume of 2500 cm3. What is the minimum possible surface area (in cm2) of this box
The minimum possible surface area of the box is \(4(2\times 2500)^{(2/3)} = 316.23 cm^2\) (rounded to two decimal places).
Let the side length of the square base be "s" and the height of the box be "h". Then, the volume of the box can be expressed as:
\(V = s^2 \times h\)
We know that V = 2500 \(cm^3\), so we can solve for "h" in terms of "s":
\(h = V / (s^2)\\h = 2500 / (s^2)\)
To minimize the surface area of the box, we need to minimize the sum of the area of the base and the area of the four sides. The area of the base is s^2, and the area of each of the four sides is s * h. Therefore, the surface area can be expressed as:
\(A = s^2 + 4sh\\A = s^2 + 4s(V / s^2)\\A = s^2 + 4V / s\)
To minimize the surface area, we need to take the derivative of A with respect to s, set it equal to zero, and solve for s:
\(dA/ds = 2s - 4V / s^2 = 0\\2s = 4V / s^2\\s^3 = 2V\\s = (2V)^{(1/3)\)
Substituting this value of s back into the expression for A, we get:
\(A = s^2 + 4V / s\\A = (2V)^{(2/3) }+ 4V / (2V)^{(1/3)}\\A = 4(2V)^{(2/3)\)
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What is the answer ♀️
Answer:
c. 15in
Step-by-step explanation:
Answer:
C. 15 inches
Step-by-step explanation:
The perimeter of a traingle is all of the sides added together. If three sides equal 36, and 2 equal 21, then the remaining side would be 15. Hope this helps!
what is the graph of y= -4x -1?
Answer:
The y-intercept is -1
The slope is -4 so you will go down 4 and over 1 to the right.
The line is negative
So it will be pointing Northwest and Southeast \ that way.
Step-by-step explanation:
Did you understand this??
alex stocks up for winter he buys 32 cans of vegetables he pays 80 cents per can of tomatoes and 40 cents per can of corn, for a total cost of $18. how many cans of tomatoes does he buy.
Alex purchases 13 cans of tomatoes and the remaining 19 cans are corn.
Let's assume that Alex buys 'x' cans of tomatoes. Since he buys a total of 32 cans of vegetables, he must buy the remaining (32 - x) cans of corn. According to the given information, each can of tomatoes costs 80 cents, and each can of corn costs 40 cents.
The cost of x cans of tomatoes is calculated as 80x cents, and the cost of (32 - x) cans of corn is calculated as 40(32 - x) cents. Adding these two costs together, we get the total cost of $18, which is equivalent to 1800 cents.
So, the equation can be formed as follows:
80x + 40(32 - x) = 1800
Now, let's solve this equation:
80x + 1280 - 40x = 1800
40x + 1280 = 1800
40x = 520
x = 520/40
x = 13
Therefore, Alex buys 13 cans of tomatoes.
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A cork has a mass of 3 grams and a volume of 16 cm3. Calculate the density.
Answer:
Density (ρ) = 0.1875 gram/cubic centimeter
Step-by-step explanation:
Steps:
p=m/v, 3/16
i ant put a pic bc im on computer so here is the question:
The location of Jeff’s school is marked on the coordinate grid below. If Jeff has to walk four units east and seven units south to get to his house, at which point is his house located?
Jeff's house is located at the point (5, -4). It's important to be detailed in following the directions given and using the coordinate grid accurately to arrive at the correct answer.
To determine the location of Jeff's house, we need to start at Jeff's school and then move four units east and seven units south. Using the coordinate grid, we can see that moving four units east will bring us to the point (5,3). From there, moving seven units south will bring us to the point (5, -4). Therefore, Jeff's house is located at the point (5, -4). It's important to be detailed in following the directions given and using the coordinate grid accurately to arrive at the correct answer.
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Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?
The total number of seeds that Josiah would plant would be = nR×S
How to determine the total number of seeds that Josiah will plant?To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.
Let each row be represented as = nR
Where n represents the number of rows planted by him.
Let the seed be represented as = S
The total number of seeds he planted = nR×S
Therefore, the total number of seeds that was planted Josiah would be = nR×S.
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the simultaneous conditions x − y < 6, x y < 6, and x > 0 define a region r. how many lattice points are contained in r?
The overlapping area between the line y = x - 6 and the curve y = 6/x and evaluating the integer coordinates within this region, we find that there are 13 lattice points contained in R.
The region defined by the simultaneous conditions x - y < 6, xy < 6, and x > 0 can be determined by graphing the inequalities.
However, since the question asks for the number of lattice points in the region, we can solve it algebraically.
First, let's consider the condition x - y < 6. If we rearrange this inequality, we get y > x - 6. This represents a region above the line y = x - 6 on the coordinate plane.
Next, let's analyze the condition xy < 6. We can rewrite this inequality as y < 6/x.
This represents a region below the curve y = 6/x.
To find the region that satisfies both conditions, we need to identify the overlapping area between the line y = x - 6 and the curve y = 6/x. This overlapping area is our region of interest, denoted as R.
To determine the lattice points within R, we need to find the integer coordinates (x, y) that satisfy both inequalities.
Since x > 0, we can start by evaluating the integer values of x from 1 to 5. For each x-value, we can calculate the corresponding y-value using the equation y = x - 6. If this y-value is less than 6/x, it satisfies both conditions and is considered a lattice point within R.
For example, when x = 1, y = 1 - 6 = -5, which is less than 6/1. So the lattice point (1, -5) is within R.
By repeating this process for x = 2, 3, 4, and 5, we can determine the other lattice points within R.
After evaluating all possible integer values of x, we find that R contains a total of 13 lattice points.
Therefore, the answer to the question is that the region R contains 13 lattice points.
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if a,b, and c are three different numbers, which of the equations have no solution
The equation that has no solution will be ax + b = ax + c. Then the correct option is A.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
If a, b, and c are three different numbers.
Let's check all the options, then we have
A: ax + b = ax + c, the variable gets eliminated, then the equation has no Solution.
B: ax + b = ax + b, the variable gets eliminated and constant too, then the equation has infinitely many Solutions.
C: ax = bc + c, the variable dost not get eliminated, then the equation has a unique Solution.
The equation that has no solution will be ax + b = ax + c. Then the correct option is A.
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The complete question is given below.
If a, b, and c are three different numbers, which of the following equations has NO solutions?
A: ax + b = ax + c
B: ax + b = ax+b
C: ax = bc + c
Question 3 (Show your steps, not only the final results.) Customers arrive at a busy checkout counter at an average rate of 3 per minute. If the distribution of arrivals is Poisson, find the probability that in any given minute there will be 2 or fewer arrivals.
Therefore, the probability that in any given minute there will be 2 or fewer arrivals is approximately 0.4231 or 42.31%.
To find the probability of 2 or fewer arrivals in a given minute, we can use the Poisson distribution formula.
The formula for the Poisson distribution is:
P(X = k) = (e*(-λ) * λ\(^k\)) / k!
Where:
P(X = k) is the probability of k arrivals,
e is the base of the natural logarithm (approximately 2.71828),
λ is the average rate of arrivals,
k is the number of arrivals.
In this case, the average rate of arrivals is given as 3 per minute.
Let's calculate the probabilities for k = 0, 1, and 2.
For k = 0:
P(X = 0) = (e⁻³ * 3⁰) / 0! = e⁻³ ≈ 0.0498
For k = 1:
P(X = 1) = (e⁻³ * 3¹) / 1! = 3e⁻³ ≈ 0.1493
For k = 2:
P(X = 2) = (e⁻³ * 3²) / 2! = 9e⁻³ / 2 ≈ 0.224
To find the probability of 2 or fewer arrivals, we sum up the probabilities for k = 0, 1, and 2:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
= 0.0498 + 0.1493 + 0.224
≈ 0.4231
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HELP!!! answer quickly pls
Answer:
I believe it is (-6, 6)
Step-by-step explanation:
Hope this helps!
p.s. could I get brainliest if possible (I only need one more for the next category or whatever)