Which equation represents the function described by this table?

f(x)=x+7
f(x)=x−7
f(x)=7x
f(x)=−7x

Answer:

A. 15x^3 -44x^2 +9x +28

Step-by-step explanation:

(5x^2 -3x -4)(3x - 7)

first, distribute by multiplying the terms in each parenthesis with each other:

(5x^2 * 3x) - (3x * 3x) - (4 * 3x) - (5x^2 * 7) + (3x * 7) + (4 * 7)

simplify:

15x^3 -35x^2 -9x^2 +21x -12x +28

Now combine like terms:

15x^3 -44x^2 +9x +28

Step-by-step explanation:

Hey there!!

Here, According to the question;

Let one number be x then another number will be x+37. (as one number is 37 more than other number. )

Now,

Their sum is 91.

It would be like;

[tex]x + (x + 37) = 37[/tex]

[tex]2x + 37 = 91[/tex]

[tex]2x = 91 - 37[/tex]

[tex]x = \frac{54}{2} [/tex]

Therefore the value of x is 27.

So, one number is 27 and another number is 64.

Hope it helps....

Answer:

Step-by-step explanation:

[tex]5x^{4} -30x^{2} -135[/tex]

We need to pull out 5 to make the rest easier to factor.

[tex]5(x^{4} -6x^{2} -27)[/tex]

Now we can factor.

Consider all combinations of how to get 27.

1 x 27

3 x 9

And that's it before you end up just switching the place i.e. 9 x 3 and 27 x 1

This makes it easy to see that 3 and 9 are our best choice because 9 - 3 is 6 which is our middle term in the equation.

So now we have:

[tex]5(x^{2} -9)(x^{2} +3)[/tex]

We can break down [tex]x^{2} -9[/tex] even further because it's a perfect square.

(x - 3)(x + 3)

Our final factor is

5(x - 3)(x + 3)[tex](x^{2} +3)[/tex]

Answer:

172 kids and 160 adults

Step-by-step explanation:

We can create two equations with the information given.

1.5x + 4y = 898

x + y = 332

We can then bring the x in the second equation over to the other side.

y = 332 - x

We can now plug this equation into the one before.

1.5x + 4(332 - x) = 898

We now do the distributive property on the equation and result with

1.5x + 1328 - 4x = 898

Then we can combine like terms and add 1.5x and -4x together and bring 1328 over by subtracting it from 898.

-2.5x = -430

-430 / 2.5x = 172

x = 172

x is defining how many children when to the park.

Now we just need to figure out y by subtracting it from the total amount of people (aka plugging it into the second equation)

y = 332 - 172

y= 160

We end up with

x = 172

y = 160

172 children and 160 adults

Answer:

5 days

Step-by-step explanation:

Multiply 8 hours by 5 people to get a total of an equivalent of 40 hours of work per day. 200/40 is equal to 5, so it would take them 5 days

Answer:

It will take them five days.

Step-by-step explanation:

So what I did was I multiplied 5 and 8 because there were 5 people and I'm taking it that each person worked 8 hours a day. So after multiplying that, I got 40. I then divided 40 by 200 and I got 5.

Answer:

116000

Step-by-step explanation:

The number of twins in 2000 is x

the number increases by 11%  to year 2015

x(1+11/100 )=128760

x+0.11x=128760

1.11x=128760

x=128760/1.11

x=116000

Answer:

106.08

Step-by-step explanation:

Answer:

106.08 percent

Answer:

3840

Step-by-step explanation:

Using the fundamental counting principle

The restaurant is offering five kinds of soup, three kinds of salad, four kinds of appetizers, six entrees, five desserts, and four beverages.

There are 5 independent events happening (5 prixe dinners)

(1) soup or salad (not both)

We have five kinds of soup, three kinds of salad

soup or salad (not both), = 5 + 3

= 8

(2) appetizer = 4

(3) entrees = 6

(4) dessert = 5

(5) Beverage = 4

Hence,

8 × 4 × 6 × 5 × 4

= 3840

The number of different prix fixe dinners are possible is 3840

Answer:

18

Step-by-step explanation:

the pattern is adding 4

Answer:

47

Step-by-step explanation:

Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.

Answer:

fdfbsdfb

Step-by-step explanation:

dfgfdg

Answer: It will take 2 hours

Step-by-step explanation:

Answer: 5/6, 7/10, 1/2, 1/15

Step-by-step explanation:

5/6=25/30, 7/10=21/30, 1/2=15/30, 1/15=2/30

Steps to solve:

10/r - 7 - 6b when r = 5 and b = -6

~Substitute

10/5 - 7 - 6(6)

~Simplify

5 - 7 + 36

~Subtract

-2 + 36

~Add

34

Best of Luck!

Answer:

1. cos73 is 0.29

2. cos48 is 0.67

3. cos55 is 0.57

These are the answers for cos. Hope this helps!

Answer:

I needed help on that question too

Answer:

9.8

Step-by-step explanation:

I checked on google

Answer:

9.8

Step-by-step explanation:

Answer:

.27

Step-by-step explanation:

4.5*6/100

=.27

Answer:

$27.00

I stayed up all night studying for this test and I got the question right haha

THE ANSWER TO THAT PROBLEM IS SIMPLY 175

Answer:

19

Step-by-step explanation:

All you need to do is subtract 78 from 97 to find the "remainder." Or you can also add until you get to 97.

97 - 78 = 19

78 + 19 = 97.

Answer:

204

Step-by-step explanation:

I mean logical right lol

Answer:

All figures in Group 1 appear to have at

least one square face

Step-by-step explanation:

Let us examine each statement and see whether they are true or not.

The first statement is not true. Only one of the figures (square pyramid) has at least one triangular face. It has 4 triangular faces, actually.

The second statement is not true. Only one of the figures is a rectangular prism. The remaining two are triangular pyramid and triangular prism respectively.

The third statement is not true also. Only 1 figure is a triangular prism.

The fourth statement is correct. In group 1, all the figures has at least one square face.

Answer:

n/6

Step-by-step explanation:

If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC

Since <ABC = <ABD+<DBC

n = 2<DBC+<DBC

n = 3<DBC

<DBC = n/3

Since <DBC = 2EBC

n/3 = 2<EBC

n/6 = <EBC

Hence <EBC = n/6

Answer:

120

Step-by-step explanation:

1 hour = 60 minutes

2 hours = 2* 60 = 120 minutes

Answer: one

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 9 was underlined it would be 9 ones

If it was 5, 5 tenths

If it was 2, 2 hundreths

If it was 1, 1 thousandth

Hope this helps:)

Answer:

C. 10.4 million liters.

Step-by-step explanation:

1. First, you want to create an equation to help you solve this.  You know that there are 5,000 school buses and they use 40 liters of fuel per week.  So, you know that 5,000 · 40x would be the amount of fuel for x weeks (where x is the number of weeks).

2. To figure out how many liters would be used in 52 weeks, simply put 52 in for x.  So, the expression is 5,000·40(52).

3.  Multiply 40(52) to get 2,080.  Your expression now looks like this: 5,000·2,080

4. Multiply 5,000(2,080) to get your answer of 10,400,000 liters.

Hope this helps! :) If you could give me Brainliest that would be super helpful!

Answer:

15 pencils

Step-by-step explanation:

18c/3

x/1

cross multiply then divide

Answer:

46 cents

Step-by-step explanation:

18 x 3 = 54

100 - 54 = 46

Answer:

All real numbers

Step-by-step explanation:

21 - 7x = 7(3 - x)

21 - 7x = 21 - 7x

Since both sides of the equation are equal, the answer is all real numbers.

[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]

Answer:

dfd

Step-by-step explanation:

Answer:

250 Dollars

Step-by-step explanation:

100 down + 50 x 14

100 +700= 800

800-550= 250

$150 is saved by paying the total amount at the time of purchase.