Mathematics High School

if f(x) = -x^2+4x-9 and g(x) = x - 8 find g(f(-1)).​

Answers

Answer 1

Answer: g(f(-1))=-22

Step-by-step explanation:

To find g(f(-1)), you want to first want to solve f(-1). Once you solved that, you plig the answer you get into g(x). Then, you will have your final answer.

f(-1)=-(-1)²+4(-1)-9                  [exponent]

f(-1)=-1+4(-1)-9                       [multiply]

f(-1)=-1-4-9                             [subtract from left to right]

f(-1)=-14

We have found that f(-1)=-14. Now, we know in -14 into g(x) and solve.

g(-14)=(-14)-8                         [subtract]

g(-14)=-22

Now, we know that g(f(-1))=-22.

Related Questions

Leah is writing an equivalent equation which solves for y. What should be her next step? 3 x + 4 y = 8. 3 x minus 3 x + 4 y = 8 minus 3 x. 4 y = 8 minus 3 x.

Answers

Given :

A linear equations :

3x+4y = 8 .

She have completed the following steps :

3x+4y = 8

3x+4y-3x = 8-3x

4y = 8 -3x

To Find :

The equivalent equation which solves for y.

Solution :

General equation of line or equation which solves for y is given by :

y = mx +c

So , our next step should be dividing both sides by 4 .

[tex]\dfrac{4y}{4}=\dfrac{8}{4}-\dfrac{3x}{4}\\\\y=2-\dfrac{3x}{4}[/tex]

Therefore , equation which solves for y is [tex]y=2-\dfrac{3x}{4}[/tex] .

Hence , this is the required solution .

. Jacob drives at a rate of 20 miles in 4 hours. What is his unit rate? *

Answers

Answer:

5 miles per hour

Step-by-step explanation:

You divide 20 with 4 to get 5

Luis does chores at home to earn extra money. Each week he earns $20. He already has $320 in his savings account, and is trying to save up to buy a new iPhone X for $930. How many weeks will it be until he can buy the new iPhone?

Answers

Answer:

30.5 Weeks

Step-by-step explanation:

The phone costs $930, and he already has $320 saved in his bank account so subtract 320 from 930. You will get 610. Then, you take 610 and divide it by 20 because he earns $20 a week. I hope this helped.

I need the answer ASAP

Answers

Answer:

the first lines slope is 3 and the second likes slope is -1

Also the last number in the equation is the dot on the y-axis

Step-by-step explanation:

the first pare of coordinate is(0,-8) and the second one that makes a line with that coordinate point is (1,-5)

the second pare of coordinate is (0,-4) and the second one that makes a line with that coordinate point is (1,-5)

Points that lie on the same plane are...
collinear
O parallel
O coplanar
O perpendicular

Answers

Answer:

parrelell

Step-by-step explanation:

Answer:

Coplanar

Step-by-step explanation:

Coplanar points lie on the same plane.

Hope this helps!!


1. For the equation, x-7 = 24. can a value be substituted for x to make that a true
number sentence? How many values could be substituted for x and have a true
number sentence?

Answers

Answer:

The value 31 can be substituted for x. Only the value 31 can be substituted.

Step-by-step explanation:

So to solve a one step equation the goal is to isolate the variable. As you can tell from we are subtracting the 7. The opposite of addition is subtraction so we want to add the 7. -7 plus a positive 7 is 0 which cancels it out. Now we have x=24. However what you do to one side you need to do to the other. So we add 7 to the 24. 7+24 is 31. Therefore 31 can be substituted for x. Lets check out answer. What is 31-7? 31-7 is 24. Now we know our work was correct

What is the slope of the function?

Answers

the slope of the function is 2!

The real numbers are made up of _____________ and _____________ numbers.

Answers

Answer:

Racionales y los irracionales

Step-by-step explanation:

Answer:

I think the answer is: The real numbers are made up of natural and whole numbers.

Step-by-step explanation:

The types of numbers I listed above in my answer are Types of Real Numbers.

Hope this helps!

If the 5 digit number 1732p is divisible by 9, then p =
O 3
O 5
O 7
O 4

Answers

Answer:

p = 5

Step-by-step explanation:

1732(5)/9 = 1925

3) h(n) = 4n - 3
g(n) = n + 5
Find (hºg\(8)

Answers

Answer:

The answer is 3.458

Step-by-step explanation:

Write the following equations in slope intercept form
Equation 1: y-7x=6
Equation 2: y+7x=8

Answers

Answer:

Equation 1: y = 7x + 6

Equation 2: y = -7x + 8

Step-by-step explanation:

Isolate the y variables in both equations

Equation 1:

y - 7x = 6

y = 7x + 6

Equation 2:

y + 7x = 8

y = -7x + 8

So, the equations in slope intercept form are:

Equation 1: y = 7x + 6

Equation 2: y = -7x + 8

Answer:

Find the value of b using the formula for the equation of a line. y = mx + b

The table represents the cost of flowers at the Tigerlily Flower Shop.

Cost of Flowers
Quantity
Price
1
$2.00
2
$3.50
3
$5.00
4
$6.50
5
$8.00
6
$9.00

Which graph is the best interpretation of this table?

Answers

Well I would need to see the graphs

Answer:

A

Step-by-step explanation:

can I get the crown plz? UwU

Is 2x-1=5x equivalent to -1=3x

Answers

Answer:Yes

Step-by-step explanation:

2x-1=5×

-1=5x-2×

-1=3x which is equivalent to -1=3x

2x^2– 20x^2
GCF =
Factored Polynomial =

Answers

GCF = 18x^2
Factored Polynomial = -18x^2

which of the following expressions cannot be simplified √24 √32 √27 √38​

Answers

Answer:

cmon man dont be so hard on him the answer is the square root of 38

Step-by-step explanation:

A factor of n is a number which when multiplied by another number gives us the number n. The expression that can not be simplified is √38.

What is a factor?

A factor of n is a number which when multiplied by another number gives us the number n.

The given expression can be simplified as shown below.

√24 = √(3×2×2×2) = 2√6√32 = √(2×2×2×2×2) = 4√2√27 = √(3×3×3) = 3√3√38​ = √(2×19), since there are no common factors, therefore, √38 can not be simplified.

Hence, the expression that can not be simplified is √38.

Learn more about Factors here:

https://brainly.com/question/6810544

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What is 360 divided by 11.

Answers

32.7272727 hope that help
Step 1:
Start by setting it up with the divisor 11 on the left side and the dividend 360 on the right side like this:

1 1 ⟌ 3 6 0

Step 2:
The divisor (11) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

0
1 1 ⟌ 3 6 0

Step 3:
Multiply the divisor by the result in the previous step (11 x 0 = 0) and write that answer below the dividend.

0
1 1 ⟌ 3 6 0
0

Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

0
1 1 ⟌ 3 6 0
- 0
3

Step 5:
Move down the 2nd digit of the dividend (6) like this:

0
1 1 ⟌ 3 6 0
- 0
3 6

Step 6:
The divisor (11) goes into the bottom number (36), 3 time(s). Therefore, put 3 on top:

0 3
1 1 ⟌ 3 6 0
- 0
3 6

Step 7:
Multiply the divisor by the result in the previous step (11 x 3 = 33) and write that answer at the bottom:

0 3
1 1 ⟌ 3 6 0
- 0
3 6
3 3

Step 8:
Subtract the result in the previous step from the number written above it. (36 - 33 = 3) and write the answer at the bottom.

0 3
1 1 ⟌ 3 6 0
- 0
3 6
- 3 3
3

Step 9:
Move down the last digit of the dividend (0) like this:

0 3
1 1 ⟌ 3 6 0
- 0
3 6
- 3 3
3 0

Step 10:
The divisor (11) goes into the bottom number (30), 2 time(s). Therefore put 2 on top:

0 3 2
1 1 ⟌ 3 6 0
- 0
3 6
- 3 3
3 0

Step 11:
Multiply the divisor by the result in the previous step (11 x 2 = 22) and write the answer at the bottom:

0 3 2
1 1 ⟌ 3 6 0
- 0
3 6
- 3 3
3 0
2 2

Step 12:
Subtract the result in the previous step from the number written above it. (30 - 22 = 8) and write the answer at the bottom.

b) What is the value of 11 a?​

Answers

you may need to elaborate on that but by the looks of it it’s an unknown number without an equation.

Show your work for this please.

Answers

Answer:

that is the first one

I dunno if am correct.

-3(b + 9) = -6
solving two step equations

Answers

Answer:

-7

Step-by-step explanation:

writing an equation of a proportional relationship in the form y=kx k represents the

Answers

A proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.

Answer:

k represents the constant of proportionality

5 = x is the same as x = 5 due to what
property
Multiplicative Identity Property
Commutative Property of Multiplication
Transitive Property of Equality
Symmetric Property of Equality

Answers

Symmetric Property of Equality

Answer:

        Symmetric Property of Equality

Step-by-step explanation:

Symmetric Property of Equality means that we can swap the sides of equation and the equality stays the same.


A pole casts a shadow that is 15 feet long. A 6-foot tall man casts a shadow that is 15 feet long. Which proportions can be solved to
find the height of the pole?

Answers

Show us a picture of your problem please .

If m angle 5 = 42 degrees and m angle 1 = 117 degrees, find m angle CDF

Answers

Answer:

its 159

Step-by-step explanation:

The angle CDF is 159 degrees

Using this formula to determine angle CDF

Angle CDF=m angle 1+ m angle 5+

Where:

m angle 1=117 degrees

m angle 5=42 degrees

Let plug in the formula

Angle CDF=117 degrees+42 degrees

Angle CDF=159 degrees

Inconclusion the angle CDF is 159 degrees

Learn more here:

https://brainly.com/question/15642132

I NEED HELP PLEASE PLEASE PLEASE HELP MEE !!!!

Answers

Answer:

The second step involves getting rid of the number closest to the variable x

which of the following is equivalent to sqrt -50

Answers

Answer:

5i sqrt -50

Step-by-step explanation:

the answer would be B

The required equivalent expression to [tex]\sqrt{-50}[/tex] is 5i√2.

Given that,
An equivalent expression to  [tex]\sqrt{-50}[/tex]  is to be determined.

What is a complex number?

The number that constitutes real and imaginary numbers are called complex numbers.

What is simplification?

The process in mathematics to operate and interpret the function to make function simple or more understandable called simplify and the process is called simplification.

Here,
Simplifcation ⇒
=  [tex]\sqrt{-50}[/tex]
[tex]=\sqrt{-5 * 5 *2}\\=5\sqrt{-2}\\=5\sqrt{-1} \sqrt{2}\\[/tex]
( Since √-1 = i )
= 5i√2


Thus, the required equivalent expression to [tex]\sqrt{-50}[/tex] is 5i√2.

Learn more about complex numbers here: https://brainly.com/question/28007020

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Which function could be shown in the graph below?

O A f(x) = 4x- 12x - x +15
O B. f(x) = x - 3r’ + 20
O c. (x) = - 3x' + x2-5
O D. Ax) = x² - 5x²+4

Answers

I am thinking is C but I am still not sure
Wheres the graph it needs to be a graph so you can get help

four less than three times a number is 8. find the number.
A. 1
B. 9
C. 1.33
D. 4​

Answers

Answer: 9

Step-by-step explanation:

5(x-3)-3(2^x+4)/9 simplest form

Answers

The simplest form would be... x minus 27 divided by 9. This is of course if the slash in your problem is relevant to division. If the slash is not necessary the answer would then be... x-27+9
Hope this helps

find ab²c if a= -3, b= -2, and c=6.

Answers

Step-by-step explanation:

Putting values in the equation

(-3)(-2)2(6)

(-3)(-4)(6)

72

Find the following lengths.
X=_____
BC=10

Answers

I am in 8th and I thinks it’s 2

Answer:

see explanation

Step-by-step explanation:

Since B is the midpoint of AC, then

AB = BC , substitute values

3x - 5 = x + 5 ( subtract x from both sides )

2x - 5 - 5 ( add 5 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus

BC = x + 5 = 5 + 5 = 10

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