1. Find (f*g)(x) if
f(x)= -6x+11 and g(x)=3x-5.

Answer:

x=17

Step-by-step explanation:

1: Simplify both sides of the equation.

8x−9+53=180

8x+−9+53=180

(8x)+(−9+53)=180(Combine Like Terms)

8x+44=180

8x+44=180

2: Subtract 44 from both sides.

8x+44−44=180−44

8x=136

3: Divide both sides by 8.

(8x=136 )/8

x=17

Answer:

Answer:

147 gallons

Step-by-step explanation:

21 miles x 7 gallons

Answer:

The answer is y=4x+2 i got it right on my quiz :)

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

80/100 - 80%

The entire family (5 people) save 120 gallons per day.

Subtraction:

Subtraction means we have to find the difference of the numbers.

Given,

A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon per minute showerheads.

Each member of the family averages 8 minutes in the shower per day.

Here we need to find the entire family savings per day.

According to the question,

The total bath time for the whole family is,

=> 8 x 5 = 40

So for one day,

If the showerheads cost 5 gallon per minute, then the cost for the family is,

=> 40 x 5 = 200

If the showerheads cost 2 gallon per minute, then the cost for the family is,

=> 40 x 2 = 80

So, the savings is,

=> 200 - 80

=> 120

So, they save 120 gallons per day.

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Answer:

The parts of an atom are protons, electrons, and neutrons. A proton is positively charged and is located in the center or nucleus of the atom.

Step-by-step explanation:

Answer:

The parts of an atom are protons, electrons, and neutrons.

Step-by-step explanation:

Hope this helps!      :3

plz mark as brainliest!

Answer:

The answer might be C

Step-by-step explanation:

The graph hits the unit rate of (4,5) every time

Correct Me If I am Wrong

Answer:

17

Step-by-step explanation:

so x stays the same, so you look at the y integers and to get to the negatives you have to go down 5 times, then 12 more to get to -12. So 5+12= 17

Hope this helps!!!!

Answer:

x=7 y=0 this is the answer

The fractions which have the same value as the fraction given; -1/4 among the answer choices are; -(-1/-4), -1/4 and 1/-4.

It follows from the task content that the fractions which are equivalent to the given fraction; -1/4 are to be identified.

On this note, one must first identify that the quotient or product of like signs (+ or -) yields a positive sign while the quotient or product of unlike signs yields a negative sign.

Hence, the simplified form of the options are as follows;

Hence, the correct answer choices are; -(-1/-4), -1/4 and 1/-4.

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The required probability is 0.45

We have total 26 letters in English, of which 21 are consonants and 5 are vowels.

According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.

Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.

So the probability is 5/26

Now, a letter has been selected, so in the set, we have 25 letters left.

In the next 4 selections, we must select consonants.

In the second selection the probability is 21/25

In the third selection the probability is 20/24

In the fourth selection the probability is 19/23

In the last selection the probability is 18/22

So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)

Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,

P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45

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Your hourly wage is divided by the number of hours worked in a week to determine straight-time pay. :- False

The entire set amount of money provided to an employee over a specific time period—typically a year—is referred to as a salary. The amount paid to an employee for each hour of work is known as their hourly wage in comparison.

Let's assume the straight time pay to be x.

Let the hourly pay rate be y

If a person has worked N no. of hours in a week.

Then the straight-time pay will be the product of the hourly pay rate and the number of hours the person worked.

Therefore,

The straight time pay, x = N × y = Ny

Hence, the statement " the formula for figuring straight time pay is your hourly rate divided by the number of hours worked in a week" is false.

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We will need to use the substitution method to solve the question. The difference between the two numbers is 11.5

Substitution method is used to solve a system of equations. First the equation is solved for one variable and then the value is used in the other equation to solve for the other unknown variable. In this question we have been told the sum of two numbers is 32. Let us take the two numbers as x and y. Then we can say that

x+y=32 ...(i)

Next we know that when 5 is subtracted from 4 times one number the result is 8 times the other number, we can write it as

4x-5=8y

4x-8y=5....(ii)

So we have two equations

x+y=32

4x-8y=5

We will multiply equation (i) by 4 to cancel out x and solve for y

4x+4y=128

4x-8y=5

(-)  (+)   (-)

-----------------

    12y=123

y=10.25

We substitute the value of y in equation (i)

x+y=32

x+10.25=32

x=32-10.25=21.75

We need to find the difference between two number which is x-y=21.75-10.25=11.5

Therefore we found out by substitution method that the difference between the two numbers is 11.5

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Answer: the answer is "a"  95a=b

Step-by-step explanation:

"of" means "multiply":

95a=b

Answer:

1.6

Step-by-step explanation:

Because you divide 1/5 by 1/3 and you get 1.6. Make me brainliest!!!

Answer:

12x=50×50−38×38

12x=50²−38²

20x=(50+38)(50-38)

12x=88*12

x=88

Answer:

Answer= -4 hope it helps

Answer:

Step-by-step explanation:

x²-9x -36 =(x+3) (x -12)

because

x² -12x +3x -36 =

x( x-12) +3( x-12)=

(x-12) (x+3)

Answer:

x = 1 y = 2

Step-by-step explanation:

3(1) + 2(2) = 7

3 + 4 = 7

-3(1) + 4(2) = 5

-3 + 8 = 5

Answer:

He did an error because he multiplied equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

Step-by-step explanation:

Given the system of equations

3x-5y=4

-2x+3y=2

This is what student solved

6x - 10y = 8        Multiply equation 1 by 2

-6x + 3y = 6        Multiply equation by 2 by 3

_________

       -7y = 14

          y = -2

He did an error because he multiplied the equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

NOW, HERE IS THE CORRECT VERSION

6x - 10y = 8        Multiply equation 1 by 2

-6x + 6y = 6        Multiply equation by 2 by 3

_________

       -4y = 14

          y = -2/7

The type of function of the given graph is polynomial in nature.

Each element of X receives exactly one element of Y when a function from one set to the other is used.

A)  The given function is a polynomial of the third degree.

B)  The factored form of the polynomial is: [tex]-\frac{1}{1500} (x+20)(x+5)(x-15)[/tex]

The standard form is: [tex]p(x)=-\frac{x^3}{1500} -\frac{x^2}{150} +\frac{11x}{60} +1[/tex]

C)  The zeroes of the polynomial function are -20, -5 and 15

D)  The linear factors are (x+20)(x+5) and (x-15)

E)   The equation of the function is  [tex]y=-\frac{1}{1500} (x+20)(x+5)(x-15)[/tex]

F)   From the graph it is seen that the factors of the polynomial function are (x+20)(x+5) and (x-15).

Now at x=0, y=1.

Substituting these values we get:

1=a(0+20)(0+5)(0-15)

or, a =  [tex]-\frac{1}{1500}[/tex]

So the value of a for the equation is [tex]-\frac{1}{1500}[/tex] .

G)   The equation for the function in the graph is

[tex]y=-\frac{1}{1500} (x+20)(x+5)(x-15)[/tex]

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Answer:

3mper min

Step-by-step explanation:

Answer:

To paint the room it would take 90 minutes, the rate is that she can paint 1/30 of her room each minute

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

5 times 5 is 25 plus 20 is 45 hope this helps

Answer:

The vertex of the graph is (-1,0)

Step-by-step explanation:

A vertex has different definitions

It refers to the point where we have the axis of symmetry

It can also be the point at which the graph changes direction

From the graph we have here, the vertex lie on the horizontal axis

It has an ordered pair value of (-1,0)

Answer:

-.2, 2.4

Step-by-step explanation:

answer on edge

Answer:

Is a natural Number

Step-by-step explanation:

Answer:

Is a Factor

Step-by-step explanation:

Answer:

x-y+2z=3

Step-by-step explanation:

EZ