Find (f+g)(x) and (f-g)(x)
f(x)=2x+7 g(x)=5x-4

Answers

Answer 1

Answer:

for (f+g)(x): 7x + 3; x = -3/7

for (f-g)(x): -3x - 3; x = -1

Step-by-step explanation:

(f+g)(x) = (2x+7)+(5x-4)

Eliminate parentheses.

2x + 7 + 5x -4

Combine like terms.

7x + 3

If you are solving for x, move the 3 to the other side.

7x = -3.

Then divide each side by 7.

x = -3/7

(f-g)(x) = (2x+7) - (5x -4)

Distribute the negative.

(2x+7) + (-5x+4)

Eliminate parentheses.

2x + 7 - 5x - 4

Combine like terms.

-3x -3

If you are solving for x, move the -3 to the other side.

-3x = 3

Then divide each side by -3.

x = -1.


Related Questions

The ratio of the measures
of the angles of a triangle is
6:10:2. What is the measure of
the smallest angle.

Answers

Answer:36

Step-by-step explanation:

You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)

PLEASE HELP!!!!! I'LL MARK BRAINLIEST Which table represents a linear function with a greater y - intercept than that of the function represented in the graph?

A. X Y
0 3
6 -39

B. X Y
-2 0
0 0

C. X Y
0 5
5 -45

D. X Y
-2 1
0 4

E. X Y
0 -7
4 11


Answers

Answer:

The answer is c

Step-by-step explanation:

Answer:the answer is c mark me brainiest remember  

Step-by-step explanation:

Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
A. -1 B. x < -1 and x > 5
C. -5 D. X<-5 and x > 1

Answers

Given:

[tex]y=2x^2-8x-10[/tex]

To find:

The interval(s) on which the given function is positive.

Solution:

We have,

[tex]y=2x^2-8x-10[/tex]

[tex]y=2(x^2-4x-5)[/tex]

[tex]y=2(x^2-5x+x-5)[/tex]

[tex]y=2(x(x-5)+1(x-5))[/tex]

[tex]y=2(x+1)(x-5)[/tex]

For zeroes, [tex]y=0[/tex]

[tex]2(x+1)(x-5)=0[/tex]

[tex]x=-1,x=5[/tex]

-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].

Interval        Selected Value      [tex]y=2(x+1)(x-5)[/tex]                      Sign

[tex](-\infty,-1)[/tex]                -2                  [tex]y=2(-2+1)(-2-5)=14[/tex]           +

[tex](-1,5)[/tex]                     0                   [tex]y=2(0+1)(0-5)=-10[/tex]              -

[tex](5,\infty)[/tex]                       6                  [tex]y=2(6+1)(6-5)=14[/tex]                 +

So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].

We can say that the function is positive for interval x < -1 and x > 5.

Therefore, the correct option is B.

Factor this polynomial completely.
x^2-8x+16

A. (x-4) (x-4)
B. (x+4) (x+4)
C. (x-4) (x+4)
D. Does not factor

Answers

Answer:

(x-4) (x-4)

Step-by-step explanation:

foil [first, outside, inside, last]

x^2 -8x = 16

(x-4) (x-4) = x^2 -4x -4x +16 = x^2 -8x +16

Answer: (x-4) (x-4)

Step-by-step explanation:

I have done this before!

Please help quick!!

Which expression is equivalent to
25?

- 2 + 2 + 2 + 2 + 2

- 5 + 5

- 2 · 2 · 2 · 2 · 2

- 5 · 5

Answers

the last one sorry i thought 5 was negative lol

Answer:

5 · 5

Step-by-step explanation:

2 + 2 + 2 + 2 + 2 = 10

5 + 5 = 10

2 · 2 · 2 · 2 · 2 = 32

5 · 5 = 25

. Which expression is equivalent to 14-9?
math

Answers

Answer:

5

Step-by-step explanation:

Which of the following is a monomial?
O A. 11x-9
O B. 20x^9
O C. 9/x
O D. 20x^9 - 7x

Answers

Answer:

B

Step-by-step explanation:

not so sure but it this might help

Write the equation for the line that has the given slope and contains the given point.

slope = −2

passes through ( 3 , 1 )

Answers

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y intercept

y and x in the equation represent the coordinate points (3,1)

so substituting,

y = -2x + b

1 = -2(3) + b

1 = -6 + b

b = 7

so the final equation is,

y = -2x + 7

Find the slope intercept equation of the line

Answers

Answer:

I know that the y-intercept is 5

Step-by-step explanation:

because the line goes through 5

Answer:

y = -4/5x + 5

Step-by-step explanation:

You need the equation y = mx + b

the y intercept is 5  which is b

You just need to pick any point on the line and use those coordinates to plug into the equation for x and y to solve for the slope (m)

I will use  point (5, 1)

So plugging in that coordinate and the value for b in the equation

y = mx + b is  (1) = m(5) + 5

Solve for m   m= -4/5

so plug m and b back into the equation y = mx + b

is

y = -4/5x + 5

16.437 rounded to the nearest tenth is 16.4.

Answers

Answer:

yes

Step-by-step explanation:

Answer:

16.437 rounded to the nearest tenth is 16.4

Step-by-step explanation:

Mrs. Poster's class is divided into three groups of students. Each group has 3 girls and 2 boys, Which expression could she use to find the total number of students in the class?
O 3+(2+3)
(3 X 2) + 3
O 3x (2+3)
(32)

Answers

Answer:

3 X (2+3)

Step-by-step explanation:

If we have five students (3 girls and 2 boys), and three groups, we can use the expression 3 X (2+3), which concludes three groups times five students (in each group), which will give us our total of 15 students.

PLEASE HELP zoom in to remove blur

Answers

Answer:

The answer is (x + 12) and (x - 12)

What the person above me said

A sample of n = 4 scores has SS = 48. What is the estimated standard error for this sample? Group of answer choices

Answers

Answer:

2

Step-by-step explanation:

We have

n = 4 scores

SS = 48

For this question, we are required to find the estimated standard error

To get this, we first solve for the variance

S² = SS/n-1

= 48/4-1

= 48/3

= 16

Then S² = 16

S = √16

S = 4

Then the estimated standard error is given by:

S/√n

= 4/√4

= 4/2

= 2.

The estimated standard error is 2.

Which table of values represents a linear function? A B Y y y 0 7 8 7 1 1 3. --- 2 5 2 -1 4 3 3 -4 7 2 С D 2 y y 3 -2 =7 3 5 -1 -5 2 7 1 0 1 1 9 3 4 -3​

Answers

Answer:

it c for sure

Natalia cut a pie into eighths. She ate 3/4 of the whole pie. What fraction of the pie
did she eat?

Answers

the answer would be 6/8
because you would multiply both number by 2.

A bag contains 30 lottery balls numbered 1-30. A ball is selected, replaced, then another is drawn. Find each probability.
1. p(even, then odd)
2. p(7 and then a number greater than 16)
3. p(a multiple of 5 and then a prime number)
4. p(two even numbers)​

Answers

Answer:

17÷3 ok so it was just a compliment sometime soon

I need help on this with solutions please

Answers

Answer:

See answers below:

1. AAS2. ASA3. SAS4. HL5. SSS6. ΔABC ≅ ΔDFE7. ΔTRS ≅ ΔTUV8. ΔTRS ≅ ΔSUT9. ΔCAB ≅ ΔFDE

PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

Answer: itIs c for sure

Step-by-step explanation:

Answer:

A should be correct

Step-by-step explanation:

Because there is a right angle present in the diagram, that means it equals 90 degrees. Therefore, the first option is correct.

Hope this helped! :D

PLEASE HELP i’ll mark brainliest !!

Answers

Answer:

180-62=118

Step-by-step explanation:

ab=ac means that they are all equal now you know that c=62 angle on a straight line adds up to 180 so you subtract 180 to 62

What is the simplified form of (3\4)exponet3 ? Enter your answer as a fraction by filling in the boxes.

Answers

Answer:

Calculator to simplify complex fractions; fractions that have numerators and denominators, each of which are a mixed number, fraction, or integer. Solutions are given to solve the complex fraction by LCD multiplication or as Enter Mixed Numbers, Fractions or Integers  Reduce fractions where possible163−615=163−25.

Step-by-step explanation:

Suppose that the functions q and r are defined as follows.
q(x) = -x-1
r(x) = 2x² – 2
Find the following.
(q*r)(-5) =
(r*q) (-5) =​

Answers

Step-by-step explanation:

r(-5) = 2*25 - 2 = 48

Q(-5) = 5 - 1 = 4

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

x = 5

Step-by-step explanation:

I already explained and solved it on the other question. Here is the link to my explanation of how it's 5. https://brainly.com/question/20451937

Lamar rented a truck for one day there was a base fee of 18.95 and there was an additional charge of 93 cents for each Miles driven. Lamar had to pay 154.73 when he returned the truck . For how many miles did he drive the truck

Answers

Answer:

146 miles

Step-by-step explanation:

Hope this helps!

Answer:

146 miles

Step-by-step explanation:

He payed 135.78 total for gas. Take that number, and divide it by .93 to find out how many miles he drove.

The triangle is rotated 90 degrees clockwise around the pount (0,0)

Answers

Answer:

(2,6)

Step-by-step explanation:

Option:B

The triangle is rotated 90 degree clockwise around the point (0,0). The point is (-6,2) is made to rotate. The image so formed is at the point (2,6).

Fill in the table to show a proportional relationship and then identify the constant of proportionality for the cost to the number of yoga classes. In the answer box, please list the constant of proportionality

Answers

Answer:

30 = 2

60 = 4

90 = 6

120 = 8

Step-by-step explanation:

60/4 = 15

15 = 1

30 = 2

45 = 3

60 = 4

75 = 5

90 = 6

105 = 7

120 = 8

Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is

Answers

Answer:

4, 7 ,2

Step-by-step explanation:

what is 5x^2y^-3 simplified?

Answers

Answer:

(5x^2)/(y^3)

Step-by-step explanation:

Answer:

(5x^2)/(y^3)

Step-by-step explanation:

A hiker walks at a speed of 3 2/5 kilometers per hour. How many kilometers will the hiker walk-in:

3/4 hour?

Pls, give the answer in fraction form.

Answers

Answer:

2.55 km or 2 11/20 km or 51/20 km

What are your answer choices?

You will need to set the table and make your bed today. This is not always the case
because you set the table every 3 days and you make your bed every other day. When is
the next time you will have to do both activities on the same day?

Answers

Answer:

after 6 days

Step-by-step explanation:

what is the best description to the relation.
A. a function that is a one-to-one
B. a function that is many-to-one
C. a function that is one-to-many
D. a relation that is not a function ​

Answers

D! Hope this helps, stay safe!
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