Answer:
x2+ 16k+ 64= not factorable with rational numbers
x2+ 7x+ 10= (x+2)(x+5)
These are what I got from your picture, so don't quote me on this the picture wasn't the best.
ill give Brainliest,
Morgan earns 6$ per hour babysitting. whats a expression to determine the total amount of money Morgan earns.
(its question 17)
Answer:
$6x
Step-by-step explanation:
If x is the number of hours she works then the expression would be $6x.
3. ^2x + 6 = 2
solve radical equations?
Answer:
x = - 2
Step-by-step explanation:
2x + 6 = 2
2x = 2 - 6
2x = -4
x = -4/2
x = - 2
Hope it helps ⚜
FInd the Slope and y-intercept
3y-x=18
Answer:
The slope is 1/3 and the y intercept is 6
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
3y -x =18
Add x to each side
3y = x+18
Divide each side by 3
3y/3 = x/3 +18/3
y = 1/3x +6
The slope is 1/3 and the y intercept is 6
We need to solve for y (y = mx + b):
3y - x = 18
~Add x to both sides
3y = 18 + x
~Divide 3 to everything
y = 6 + x/3 or y = 6 + 1/3/x
So... 1/3 is the slope and 6 is the y-intercept.
Best of Luck!
z scores: first aid course the college physical education department offered an advanced first aid course last semester. the scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below: robert, 1.10 juan, 1.70 susan, 2.00 joel, 0.00 jan, 0.80 linda, 1.60 (a) which of these students scored above the mean? (b) which of these students scored on the mean? (c) which of these students scored below the mean? (d) if the mean score was m 5 150 with standard deviation s 5 20, what was the final exam score for each student?
Robert, Juan, Susan, and Linda scored above the mean, Joel scored on the mean, and Jan scored below the mean on the advanced first aid course's final exam based on their z-score. Their final exam scores were 172, 184, 190, 150, 166, and 182, respectively.
The students with positive z-scores scored above the mean. So, Robert, Juan, Susan, and Linda scored above the mean. The student with a z-score of 0.00 scored on the mean. So, Joel scored on the mean. The student with a negative z-score scored below the mean. So, Jan scored below the mean.
To find the final exam score for each student, we can use the formula:
z = (x - m) / s
where z is the z-score, x is the final exam score, m is the mean score, and s is the standard deviation.
Rearranging the formula, we get:
x = z * s + m
Using the given values of z, s, and m, we can find the final exam score for each student:
Robert: x = 1.10 * 20 + 150 = 172
Juan: x = 1.70 * 20 + 150 = 184
Susan: x = 2.00 * 20 + 150 = 190
Joel: x = 0.00 * 20 + 150 = 150
Jan: x = 0.80 * 20 + 150 = 166
Linda: x = 1.60 * 20 + 150 = 182
So, the final exam scores for Robert, Juan, Susan, Joel, Jan, and Linda are 172, 184, 190, 150, 166, and 182, respectively.
To know more about Z- score:
https://brainly.com/question/15016913
#SPJ4
Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Learn more about definite integral click;
https://brainly.com/question/30760284
#SPJ1
a teacher bought sweets for her 40 students . if she gave each student 3 sweets , she would have 5 sweets left . How many sweets did she buy?
Answer:
125 sweets
Step-by-step explanation:
Let the total # of sweets the teacher bought be the variable, x.
We can set up this equation to find the # of sweets she bought:
40 · 3 + 5 = x
Because she gave 3 sweets each to her 40 students, we have to multiply these two numbers to get the # of sweets the teacher gave out.
120 + 5 = x
Then, since there's 5 extra sweets left, we can add it to the # of sweets the teacher gave out to get the total amount of sweets she bought.
125 = x
x = 125
125 sweets
Answer:
Total sweets = 125
Step-by-step explanation:
Number of sweets given to each student = 3
Number of sweets given to 40 students = 40*3 = 120
Number of sweets left with the teacher = 5
Total sweets = 120 + 5 = 125
PLEASE FOR BRIANLESTTTT RIGHT NOW
Answer:
what is the question???
Step-by-step explanation:
Answer:
your right
Step-by-step explanation:
i just did the math in my head and it looks like you did everything right! i dont know how you got your answer but its right i think
Zane is mixing fruit punch in a 36-cup punch bowl for a party. He plans to add
at least 16 cups of fruit juice to the bowl before adding ginger ale.
Identify the graph that represents the amounts of fruit juice and ginger ale he
can use, and then identify a valid solution. (The graph shows the overlapping
solution region only, not the shading for each inequality.)
A. Valid solution: (20, 12)
B. Valid solution: (20,12)
C. Valid solution: (12,16)
D. Valid solution: (12,16)
Answer:
A (20,12) with the graph shown in example A here.
Step-by-step explanation:
He starts wtih 16 cups of fruit juice (x axis) and can UP TO 12 more of ginger ale, (going up the Y axis 12) for a total of 36. But he can pu in any number between 1-12 of gingerale, so the graph shown in A is correct. Also correct on A P E X.
The graph that represents the amounts of fruit juice and ginger ale he can use is A. Valid solution: (20, 12).
Calculations and ParametersA valid solution to the problem that Zane has about mixing fruit punch and fruit juice is given below:
On graph A, there is a valid solution of (20, 12) and this is because:
Zane began with 16 cups of fruit juice on the x-axis
He can add an additional 12 cups of ginger ale in the y-axis
The total would be 36 cups.
But, based on the fact that he can insert any number from 1-12 range of ginger ale, the graph in option A is correct as it shows the proper range on both the x and y-axis.
Read more about graphs here:
https://brainly.com/question/14323743
#SPJ6
Find mZKJL.
K
7x
(3x +
16)0M
mZKJL =
Answer:
The answer is 28.
Step-by-step explanation:
Ok.
☆7x and 3x + 16 are congruent, meaning they equal the same.
☆Since they are equal, we can make an equation out of then.
7x = 3x + 16
☆Then we just solve.
\( \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4\)
☆Therefore, x equals 4.
☆We are solving for m<KJL so all we need to do is plug in.
\(7x \\ 7(4) \\ 28\)
☆You answer is 28.
The required angle is 28°
What is congruence in triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.
Given here ∠KJL=7x and ∠LJM=3x+16
now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras theorem JL²=KL²+JK² & JL²=JM²+LM²
Thus KL²+JK² = JM²+LM²
⇒ JK=JM
Thus by the SSS criterion, we can conclude that the triangles are congruent.
therefore by CPCT 7x=3x+16
4x=16
x=4
so the required angle is 7×4 =28°
Hence, ∠KJL=28°
Learn more about congruence here:
https://brainly.com/question/7888063
#SPJ2
Kareem has $20,000 in his savings account that earns 5% annually. How much interest will he earn in one year?
Answer:
1000
Step-by-step explanation:
5% of my 20000 is 1000 so 21000 total or 1000 anually
Which is a composite number
81
61
71
41
Answer:
81
Step-by-step explanation:
A composite number has factor more than just one and itself.
Factors of 81=
1, 3, 9, 27, 81
pls helpppp. this is mid segments btw
Answer:
x=31
Step-by-step explanation
2 times 31 is 62 and half of 62 is 31.
Btw I just got done learning mid segments and can give you some notes you will like
What is the slope of the line that passes through the point (-4,-4)and (6,4)?
Answer:
slope = 0.8
Step-by-step explanation:
HOPE THIS HELPS :)
3. The difference between the digits in a two-digit numeral is 3. The units’ digit is twice the tens’ digit. Find the numeral.
Answer:
36
Step-by-step explanation:
let the number be 10x+y
x - y = 3 (eq 1)
given: y = 2x (eq 2)
putting 2 in 1
x - 2x = 3
-x = 3 (we can ignore the negative sign for now because we only need to find the absolute value)
y = 6
number is 36
Jill has 120 feet of fencing to use for her horse paddock. To increase the area she can enclose, she plans on using the side of the barn as one side of her paddock as shown below. Determine which equation can be used to find the dimensions of the horse paddock when the area is 1,800 square feet. Let x represent the width of the paddock.
Answer:
D) -2x²+120=1800
Step-by-step explanation:
area=l*w
the area is 1800 (given)
the length is x (given)
the width would be 120-2x (120 feet of fencing minus the two lengths)
SO
1800=(x)(120-2x)
1800=120x-2x²
1800=-2x²+120
-2x²+120=1800
So the answer is D
The equation representing the area of the horse paddock is -2x² + 120x = 1800. The correct option is (D).
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The area of a rectangle can be found by taking the product of its length and breadth.
Given that,
The total length of the fence is 120 feet.
And, the area enclosed is 1800 square feet.
As per the given question, the expression for the length of fence is as below,
2x + l = 120
=> l = 120 - 2x
Since the horse paddock is in the shape of a rectangle, its area can be written as,
x(120 - 2x) = 1800
=> 120x - 2x² = 1800
=> -2x² + 120x = 1800
Hence, the equation that can be used to find the dimensions of the horse paddock is given as -2x² + 120x = 1800.
To know more about rectangle click on,
https://brainly.com/question/25501702
#SPJ2
10. Which statement about this flgure is true?
A. it has reflectional symmetry.
B. It has no rotational symmetry.
C. It has rotational symmetry with an angle of rotation of 180 deg.
D. It has point symmetry.
HURRYYYY PLEASEEE
Owners of 800 homes in a subdivision list their houses, on average, every eight years. If a sales associate farms that neighborhood and lists 20% of the homes, how many homes can she expect to list this year
Answer:
20 homes
Step-by-step explanation:
Given that :
Total number of homes = 800
Average years at which homes are listed = 8 years
To obtain the annual home listing = total number of Homes / average years
Annual home listing = 800 / 8
Annual home listing = 100 homes
If 20% of the homes are listed on the year in question :
20% of 100 homes
0.2 * 100
= 20 homes
20 homes can be listed that year
How will you describe the graph of exponential function?
The graph of exponential function, is described below.
What is an exponential function?
The mathematical formula f(x) = e^x stands for the exponential function. The term, unless specifically stated otherwise, generally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
The formula for an exponential growth function is y = ab^x, where a > 0 and b > 1. As can be seen in the example of f(x) = 2x below, the graph will ascend. The numbers get smaller as x gets closer to negative infinity, as you can see.
If b > 1 , then the graph's slope is positive and exponential growth is depicted. The value of y approaches infinity as x rises. The value of y approaches zero as x falls.
To know more about exponential function, click on the link
https://brainly.com/question/2456547
#SPJ4
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x â’ h)2 k. Y =height in feet of the cable above the roadway x =horizontal distance in feet from the left bridge support a =a constant (h, k) =vertex of the parbola What is the vertex of the parbola? ( , ).
The vertex of a parabola is the minimum or the maximum point of the parabola
The vertex of the given parabola is (h,k)
The equation of the suspension of the main cable is given as:
\(y = a(x - h)^2 + k\)
The above equation represents a parabola that passes through points (x,y) and (h,k)
Where point (h,k) represents the vertex of the parabola.
Hence, the vertex of the parabola is (h,k)
Read more about parabola at:
https://brainly.com/question/17987697
Answer:
(h,k) is (105,7)
Step-by-step explanation:
took it rn
A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1 per slice of pizza. Benjamin purchased a membership to this pizza shop. How much would Benjamin have to pay the pizza shop if he bought 7 slices of pizza this month? What would be the monthly cost for
x slices of pizza?
Answer:
Benjamins cost this month would be $27.
The monthly cost for x slices of pizza would be x+20
Step-by-step explanation:
Consider the annual earnings of workers at a factory. The mode is $26,000 and occurs 110 times out of 221 . The median is $50,000 and the mean is $48,500. What would be the best measure of the "center"?
The median, which is $50,000, would be the best measure of the "center" for the annual earnings of workers at the factory.
The median serves as the most accurate indicator of the "center" in this situation. When the data are presented in either ascending or descending order, the median shows the middle value. It is a reliable indicator of a central trend because it is not impacted by extreme values or outliers.
While the mean indicates the arithmetic average and the mode the value that occurs most frequently, both can be impacted by extreme values or skewed distributions. Since the mode is far lower than both the median and mean in this case, it could not be a good indicator of the center.
Therefore, the median, which is $50,000, would be the best measure of the "center" for the annual earnings of workers at the factory.
Learn more about the median:
brainly.com/question/11237736
#SPJ4
How do you find the measure of an angle in a triangle isosceles?
To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other. The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.
Determine which two sides of the triangle are equal in length (these are called the "congruent sides").
Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."
Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).
For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.
To know more about triangle click below:
https://brainly.com/question/2773823#
#SPJ4
The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.
In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.
Learn more about isosceles triangle here
https://brainly.com/question/2456591
#SPJ4
Rewrite the expression as the product of two factors.
26b-13
Answer:
13(2b-1)
Step-by-step explanation:
Both have the factor 13.
13(2b-1)
I need help asap please
Step-by-step explanation:
using the formula or so there a²+ b²= c²
so 18² + 80²= 82²
if the measures, in degrees, of the three angles of a triangle are x,x 10, and 2x-6 the triangle must be ____
The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.
If the measures of the three angles of a triangle are x, x + 10, and 2x - 6, the triangle must be isosceles.
In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up the equation:
x + (x + 10) + (2x - 6) = 180
Combine the terms:
4x + 4 = 180
Subtract 4 from both sides:
4x = 176
Divide by 4:
x = 44
Now, we can find the measures of the other two angles:
x + 10 = 44 + 10 = 54
2x - 6 = 2(44) - 6 = 88 - 6 = 82
The three angles are 44, 54, and 82 degrees. Since two angles (44 and 44 degrees) have the same measure, the triangle is isosceles.
Learn more about angles here:
https://brainly.com/question/28451077
#SPJ11
a catering company uses a linear function to determine the total cost of parties. the following table shows the costs for dinner parties with varied numbers of guests. what is the cost to cater a dinner party with 90 guests?gueststotal cost30$31560$555$720$795$870$945
For a catering company, which used the linear function for calculating the total cost of parties, the cost to cater a dinner party with 90 guests is equals to the $42750.
We have a table form data of total cost of parties for a catering company. There is use of linear function to determine total cost of parties. Table look like as below,
Cost for dinner parties | number of guests
(each guest)
$315 30
$555 60
We have to determine the cost to cater a dinner party with 90 guests. For this we use simple multiplication arithmetic method. As we see in table, cost of cater a dinner party with 30 guests = $315 for each , that is cost for one guest = $315
so, cost of cater a dinner party with 30 guests = 30 × $315 = $ 9450
Similarly, when number of guests is 60 in count, cost of cater a dinner party = $555 for each one
So, total cost of cater a dinner party with 60 guests = 60× $555 = $ 33300
Now, we have total guest = 90
The cost to cater a dinner party with 90 guests
= cost to cater a dinner party with 30 guests + cost to cater a dinner party with 60 guests = $9450+ $33300
= $42750
Hence, required value is $42750.
For more information about linear function, visit :
https://brainly.com/question/15602982
#SPJ4
cuanto es la tercera parte de 15,000
Answer:
5,000.
¡Espero que ayude!
Step-by-step explanation:
Which statements should be included when teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home
When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.
When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:
1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.
2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.
3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.
4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.
5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.
6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.
7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.
By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.
Learn more about symptoms here:
https://brainly.com/question/29628193
#SPJ11
Write these values in order starting with the smallest: 0. 5 1/5 5%
Answer:
0, 5%, 1/5, 5
5% is equal to 5÷100=0,05
1/5 is equal to 1÷5=0,2
The blue dot is at what value on the number line?
10 +
2.
Answer:
-10
Step-by-step explanation:
We can figure out that the number line is by four.
How?
There is one line between 10 and 2. Sooo:
10 - 2 = 8
8 / 2 = 4
If we check it (10 - 4 - 4 = 2) it checks out!
Using this information we can figure out what the blue dot is.
2 (given) - 4 (incriments of number line) - 4 - 4 = - 10
There is our answer, -10!