f(x)=2x^2+3x^2-7x+2 g(x)=2x-5

Find (f+g)(x)

Answers

Answer 1

Answer:

[tex](f+g)(x) = 5x^2 -5x - 3[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2 + 3x^2 -7x + 2 = 5x^2 -7x + 2\\\\g(x) = 2x - 5\\\\(f + g)(x) = f(x) + g(x) \\[/tex]

              [tex]= (5x^2 - 7x + 2 ) + ( 2x - 5)\\\\= 5x^2 - 7x + 2x + 2 - 5\\\\= 5x^2 -5x - 3[/tex]


Related Questions

The scores and their final grade for a statistics student are given. What is the student’s weighted mean score?
Homework
Quiz
Quiz
Project
Final Exam
Score
86
81
96
99
89
Percent of final grade
20
15
15
25
25

Answers

Answer:

a) final exam: 90.2 B     b) percent of final grade: 20 F

Step-by-step explanation:

calculator: a)86+81+96+99+89=451/5=90.2

b) 20+15+15+25+25=100/5=20

The  weighted mean of a distribution is the sum of the product of the data elements of the distribution by the proportion of each element.

The weighted mean score of the students is 90.75

To calculate the weighted mean score, we simply multiply the score of each student by the percentage grade.

So, we have:

[tex]Mean = 86 \times 20\% + 81 \times 15\% + 96 \times 15\% + 99 \times 25\% + 89 \times 25\%[/tex]

This gives:

[tex]Mean = 17.20 + 12.15 + 14.40 + 24.75 + 22.25[/tex]

[tex]Mean = 90.75[/tex]

Hence, the weighted mean score of the students is 90.75

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Two search-and-rescue teams leave base camp at the same time, looking for a lost child. The first team, on horseback, heads north at 9 mph, and the other team, on foot, heads south at 2.5 mph.
How long will it take them to search a distance of 46 miles between them?

Answers

Answer:

yes because no matter how far you run i will find you

Step-by-step explanation:

Which equation best matches the graph shown below?

Answers

Answer:

y=0.5(x+6)(x+5)

Step-by-step explanation:

Since the parabola goes upwards as it expands from the vertex, the "a" value is definitely positive so the answer must be either the top-left or bottom-right. Next, use the roots to find the final answer. The roots are on the left side of the y-axis which indicates that they are negative. Now you know that the answer is the bottom-right answer because if both roots are negative, then the expressions must include addition to create 0 which is the y-value at the bases.

The circumference of a circle is 47 in. Find its diameter, in inches.

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Circumference of the circle = 47 inch.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The diameter of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:diameter\:of\:the\:circle\:is\:15\:inch.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex]\longrightarrow{\blue{}}[/tex] 47 in = 2 π [tex]r[/tex]

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{47 \times 7}{2 \times 22}[/tex] in

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{329}{44}[/tex] in

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = 7.477 in

Now,

[tex]\sf\pink{Diameter\: of \:the \:circle\: =\: 2 \:r }[/tex]

= 2 x 7.477 in

= 14.954 in

= 15 in ( round to nearest whole number )

Therefore, the diameter of the circle is 15 inch.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

The diameter of the circle is approximately 14.97 inches.

We have,

To find the diameter of a circle given its circumference, we can use the formula:

Circumference = π * Diameter

Given the circumference of the circle is 47 inches, we can rearrange the formula to solve for the diameter:

Diameter = Circumference / π

Substituting the given circumference into the formula:

Diameter = 47 / π

Calculating the value:

Diameter ≈ 14.97 inches

Therefore,

The diameter of the circle is approximately 14.97 inches.

Learn more about Circle here:

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The size of a large milkshake is 1.4 times the size of a medium milkshake. Write 1.4 as a percent. F u

Answers

1.4 as a percent is 140%

Answer:

1.4%

Step-by-step explanation:

1.4 = [tex]\frac{14}{1000}[/tex]

    =[tex]\frac{14/10}{1000/10}[/tex]

    =[tex]\frac{1.4}{100}[/tex]

    =1.4%

Complete the statements about the shapes on the graphs

Answers

there is nothing here

Please help. Write each phrase as an algebraic expression.

Answers

Answer:

The operation for 7 and x = addition

The expression= 7 + x

The quotient of z and 3

The operation is= dividing

The expression is= [tex]\frac{z}{3}[/tex]

find the radius of a circle whose diameter is 9cm​

Answers

Answer:

The radius of a circle is 4.5 cm.

Answer:

hope it is helpful to you

What is the solution to this equation?

6(x – 5) = 4x + 20

Answers

Answer:

x = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

6(x - 5) = 4x + 20

Step 2: Solve for x

[Distributive Property] Distribute 6:                                                                 6x - 30 = 4x + 20[Subtraction Property of Equality] Subtract 4x on both sides:                      2x - 30 = 20[Addition Property of Equality] Add 30 on both sides:                                  2x = 50[Division Property of Equality] Divide 2 on both sides:                                  x = 25

Answer:

x = 25

Step-by-step explanation:

The first step would be to distribute the 6 to x and -5. That gives us 6x - 30. Then you would subtract the 4x from both sides to get 2x - 30 = 20. You can now add the 30 to both sides leaving us with 2x = 50. Divide both sides by 2 to isolate the x. You have your final answer of x = 25 now. You can always put 25 back in the equation to check by substituting out x.

when a number is decreased by 20% of itself, the result is 104. what is the number?​

Answers

Answer:

the number is 520

Step-by-step explanation:

hope this helps!

You start driving for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13.34

Step-by-step explanation

Pythagorean Theorem: c= sqrt(a^2+b^2) or a^2=+b^2=sqrt(c)

3^2+13^2= sqrt(178) = 13.34166= 13.34


In the diagram below of RST. L is a point on RS, and M is a point on RT, such that LM parallel to ST
If RL = 3 LS= 12 LM=7. and ST=x+ 2, what is the length of ST?

Answers

Answer:

ST is 28

Step-by-step explanation:

Using the similarity formla

RL/LS  = LM/ST

3/12 = 7/x+2

3(x+2)=84

x +2= 84/3

x+2 =  28

x= 28-2

x = 26

ST = x+2

ST = 26+2

ST = 28

Hence the length of ST is 28

The cost of a piece of furniture is calculated as follows:

Wood: Rs.300, Paint: Rs.200 and wages Rs.200

If the cost of the wood and paint are increased by 12% and 7% respectively, find the new cost of the furniture.

Answers

Answer:

Examining whole-body center of mass (COM) motion is one of method being used to quantify dynamic balance and energy during gait. One common method for estimating the COM position is to apply an anthropometric model to a marker set and calculate the weighted sum from known segmental COM positions. Several anthropometric models are available to perform such a calculation. However, to date there has been no study of how the anthropometric model affects whole-body COM calculations during gait. This information is pertinent to researchers because the choice of anthropometric model may influence gait research findings and currently the trend is to consistently use a single model. In this study we analyzed a single stride of gait data from 103 young adult participants. We compared the whole-body COM motion calculated from 4 different anthropometric models (Plagenhoef et al., 1983; Winter, 1990; de Leva, 1996; Pavol et al., 2002). We found that anterior-posterior motion calculations are relatively unaffected by the anthropometric model. However, medial-lateral and vertical motions are significantly affected by the use of different anthropometric models. Our findings suggest that the researcher carefully choose an anthropometric model to fit their study populations when interested in medial-lateral or vertical motions of the COM. Our data can provide researchers a priori information on the model determination depending on the particular variable and how conservative they may want to be with COM comparisons between groups. Copyright © 2017 Elsevier Ltd. All rights reserved.

Step-by-step explanation:

Explain how u got the answer!

Answers

Answer: 525

Step-by-step explanation:

1000 dogs in 2013 and 4500 dogs in 2016

15 percent in animal shelters

(4500-1000)x0.15 = 525

Which inequality about the number line shown below is true

Answers

i got it wrong dont lisen to this

Answer:

option D

Step-by-step explanation:

D is equal to 0 that is greater than B which is -2 by theory

Which of the following expressions are equivalent to 63​? Check all that are true.

Answers

Answer:

A & E

Step-by-step explanation:

Main equation: [tex]6^{3} = 216[/tex]

A. [tex]\frac{6^{7} }{6^{4}} = 6^{3} = 216[/tex]

B. 18

C. [tex](6^{1})^{2} = 36[/tex]

D. 81

E. 6 * 6 * 6 = 216

F. [tex]6^{2} + 6^{1} = 36 + 6 = 42[/tex]

Hope this helps!

Please mark as the Brainliest!

77 out of 100 people Prefer sunny days what percentage of people prefer sunny days

Answers

Answer:

77% prefer sunny days because 77/100 is equivalent to 77%

2. 5 9. 14. ?. 27
18
20
21
16
Which is the missing number people :)))

Answers

Answer:

20

Step-by-step explanation:

The pattern goes

+3, +4, +5, +6, +7...

14+6=20

The missing number is 20

The answer is 20
0+2=2
2+3=5
5+4=9
9+5=14
14+6=20 <— the answer
20+7=27

PLease help me with this math qestion

Answers

Answer:

n+3 = 15 ; n = 12

3n -6 = 12;  n=6

Step-by-step explanation:

more than means it comes after

a number

n

3 more than

n+3

is 15

n+3 = 15

Subtract 3 from each side

n+3-3 = 15-3

n = 12

Subtract from comes after

three times a number

3n  

six subtracted from

3n -6

is 12 means equal to

3n -6 = 12

To solve add 6 to each side

3n -6+6 =12+6

3n = 18

Divide by 3

3n/3 =18/3

n =6

Answer:

A = 3 - x = 15   B = 6 - 3 times x  = 12

Step-by-step explanation:

Need help with it math

Answers

Answer:

oh itsA

Step-by-step explanation:

i did 1 plus 24

1. supplementary

2. complementary

3. 45

4. 8

5. 67

6. 135

7. 98

8. 157

9. x= 10

10. x= 6

11. x= 30

12. x=14

Which value is equal to 1/2 ?Select all that apply.
Please help fast fast !! Will give brainliest

Answers

the first is the correct answer, sin 30

Answer:

The Answer to your problem is A i'm pretty sure mark me brainliest plss and a thanks heart !!

The coordinates of the endpoints of BC are B(5,1) and (-3,-2). Under the
transformation R90, the image of BC is B'C". State the coordinates of points B
and C.

Answers

Given:

The coordinates of the endpoints of segment BC are B(5,1) and (-3,-2).

Under the transformation [tex]R_{90^\circ}[/tex] the image of [tex]\overline{BC}[/tex] is [tex]\overline{B'C'}[/tex].

To find:

The coordinates of points B' and C'.

Solution:

We know that transformation [tex]R_{90^\circ}[/tex] means 90 degrees counterclockwise rotation about the origin.

If a figure is rotated 90 degrees counterclockwise rotation about the origin, then

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]B(5,1)\to B'(-1,5)[/tex]

Similarly,

[tex]C(-3,-2)\to C'(-(-2),-3)[/tex]

[tex]C(-3,-2)\to C'(2,-3)[/tex]

Therefore, the coordinates of required points are B'(-1,5) and C'(2,-3).

How many ounces in 31/2 pounds

Answers

Answer:

248 ounces

Step-by-step explanation:

I hope this helps :D

Answer:

248 ounces is the correct answer hope you will like it and Mark me as BRAINLIEST!!!!

a driver travelled a distance of 864 km in 12 hours what is the speed of car

Answers

answer:

speed= 72 km - per • hour

Answer:

Speed of car = 72 km per hour

6 +7 ( □ +7 5) = 1

help me pls

Answers

Answer:

Can't be possible.

Step-by-step explanation:

Given:

6+7(x+75)=1

So according to given equation it can't be possible because when we add some value in 6 their result will be always greater than 1.

if two lines are parallel and one has a slope of 1/6, what is the slope of the other line?

Answers

The correct answer is 1/6

Parallel lines will have the same slope as one another

If x = 0 and y > 0, where is the point (x, y) located?

Answers

Answer:

upper half y axis

Step-by-step explanation:

If x = 0 we are on the y axis.  If y >0 we are on the upper half of the y axis

How do you know the absolute value of a number?

Answers

Step-by-step explanation:

It is very simple

Any number's absolute value should be positive

Let's say absolute value of 3 - >answer is 3

But absolute value of - 3 - > is also 3

Hope you understood it.

Answer:

Step-by-step explanation: In order to find the absolute value all you do is see what number you have and turn into an positive, say "what is the absolute value"  of -5" it would just be 5,

Hope this helps :)

PLEASE HELP. Last 3 times I asked people put spam, please do not this is urgent.
WILL MARK BRAINLIEST

Answers

Answer:

A) 2^12

Step-by-step explanation:

3x - y = 12

3(5) - 3 = 12

15 - 3 = 12

12 = 12

[tex]\frac{8^x}{2^y}[/tex]

[tex]\frac{8^5}{2^3}[/tex]

[tex]\frac{32768}{8}[/tex]

4096

2^12

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

132.3328 square centimeters

The area of a rectangle is length x width:
14.26 cm x 9.28 cm = 132.3328

Area is measured in square centimeters, in this case

FINAL ANSWER:

132.3328 square centimeters

HOPE THIS HELPS!

Answer:

132.3328 or 132.33 if you round do the nearest hundredth

Step-by-step explanation:

To find area, just multiply length by width. 14.26x9.28=132.3328

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