If f x = x2 + 2x − 5 and g x = 2x + 4, what is (f · g)(x) ?

Answers

Answer 1
Remember that (f*g)(x)= f(x)*g(x). Hope this helps!!!
If F X = X2 + 2x 5 And G X = 2x + 4, What Is (f G)(x) ?
Answer 2

[tex]\((f \cdot g)(x) = 2x^3 + 8x^2 - 2x - 20 \)[/tex].

To find [tex]\((f \cdot g)(x)\)[/tex], you need to multiply the functions \(f(x)\) and \(g(x)\).

Given:
[tex]\[ f(x) = x^2 + 2x - 5 \]\[ g(x) = 2x + 4 \]To find \( (f \cdot g)(x) \), multiply \( f(x) \) and \( g(x) \):\[ (f \cdot g)(x) = f(x) \cdot g(x) \]\[ (f \cdot g)(x) = (x^2 + 2x - 5) \cdot (2x + 4) \][/tex]

Now, use the distributive property to expand the expression:

[tex]\[ (f \cdot g)(x) = 2x^3 + 4x^2 + 4x^2 + 8x - 10x - 20 \]\[ (f \cdot g)(x) = 2x^3 + 8x^2 - 2x - 20 \][/tex]

So, [tex]\((f \cdot g)(x) = 2x^3 + 8x^2 - 2x - 20 \)[/tex].


Related Questions

k/7=32/56? i have no idea how to solve this

Answers

k/7=32/56

To solve for k, cross multiply:

(k x 56) = (7 x 32)

Simplify:

56k = 224

Divide both sides by 56:

k = 224 / 56

k = 4

Solve 4(25+5+1+10) use pemdas

Answers

Answer:

164

Step-by-step explanation:

pemdas

parentheses first: 4(25+5+1+10) = 4(41)

parentheses around only on term means multiply

4(41)= 164

Answer:

164

Step-by-step explanation:

PEMDAS requires you to do whatever is asked inside the parenthesis first. So in this case, add all those together to get the answer of 41, then multiply by 4 on the outside

Please help me, please?

Answers

The answer is 14 2/3

I hoped this helped youuuuu!!!!!

Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction (multiply the denominator and the numerator) and you get 11/4. Since you need 3/16 cups for One dumpling you have to find the greatest common denominator which is 16. You multiply by 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for 1 whole dumpling you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.

write 1.888... as a mixed number

Answers

Answer:

Step-by-step explanation:

The answer is 1-4/5

The difference between a number and 10

Answers

Answer:

[tex]10 - x[/tex]

Step-by-step explanation:

the difference between a number and 10 simply means ,that number minus 10.

Let that number be x

therefore the difference between x and 10 is written as

[tex]x - 10[/tex]

Answer:

x-10

Step-by-step explanation:it simply means to subtract a number from ten

joseph read 12 books in 2 months. what was his rate of reading in books per month ? Express your answer in simplest form

Answers

Answer: He read 6 books in 1 month. 6:1 is the unit rate

Step-by-step explanation:

12/2 = 6

What is the decimal equivalent to 4%?

Answers

Answer:

0.8

Step-by-step explanation:

4/5 0.8 80%

hope this is useful

Hey!

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

Solution and Explanation:

When you want to find the decimal of a number just divide by 100.

4 / 100 = 0.04

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

Answer:

[tex]\large\boxed{0.04}[/tex]

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

Hope This Helped! Good Luck!

Mike rides his motorcycle at an average speed (velocity) of 20 meters / second for
500 seconds how far did he ride?

Answers

Answer:

10,000 meter's is the answer

Step-by-step explanation:

multiply 20 and 500

What times what equals -18

Answers

-1 x 18 = 18

-2 x 9 = 18

-3 x 6 = 18

-6 x 3 = 18

-9 x 2 = 18

-18 x 1 = 18

Hope this helped!

Nate

To get -18, we can use the factors

2 times -9 = 18

How to fill the blanks

To find two numbers that multiply to give -18, we need to consider pairs of factors of -18. The factors of -18 are:

1 and -18

2 and -9

3 and -6

So, the pairs of numbers that multiply to give -18 are:

1 * -18 = -18

2 * -9 = -18

3 * -6 = -18

Therefore, -18 can be expressed as the product of various combinations of these pairs, such as (-2) * 9, (-3) * 6, and so on.

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Please help me idk this

Answers

Answer:

The anwser is 2.8000

Step-by-step explanation:

 You look at the tenth place its 8 :

   2.8151

Then you look to the right which is 1

is 1 more than 5 or less

1 < 5

8 stays the same but 1, 5, and 1 turn into zeros

 

Answer:

2.8151 rounded to the nearest tenth is 2.8, because tenths lie right after the decimal

I hope i helped :)

PLEASE HELP ME I WILL GIVE YOU BRAINLIEST

Answers

Answer:

Equation of the line is y=-x+3

Rewritten as an inequality is y ≤ -x+3

Step-by-step explanation:

You find the slope by doing rise over run which ends up being -1/1, so just -1.

The y-intercept is 3.

Slope intercept form is y=mx+b, so y=-x+3 is the answer in slope intercept.

Then ≤ is used because the line is going down and it's shaded to the left, also the line isn't broken, it's solid which means it's equal to, so it would be less than or equal to.

Which toy pack has a cost of $2.50 per toy?

Answers

YoYo. 15/6 = 2.5 so each YoYo costs $2.50.

Answer:

Yo-Yo

Step-by-step explanation:

I do not know all the steps but I just joined but the answer is Yo-Yo!!

The midpoint of GH is M(3, 0). One endpoint is G(1, 0). Find the coordinates of the other endpoint H.

Answers

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad H(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+1}{2}~~,~~\cfrac{y+0}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(3~,~0)}\implies \begin{cases} \cfrac{x+1}{2}=3\\[1em] x+1=6\\ \boxed{x=5}\\ \cline{1-1} \cfrac{y+0}{2}=0\\[1em] \boxed{y=0} \end{cases}[/tex]

Mark earned $240 in the first week and earns $680 in the fifth week. How much will he earn in the 20th week (suppose his earnings each week have the same increase)​

Answers

Answer:

$ 2330

Step-by-step explanation:

a = $240

Earning at the end of fifth week = $ 680

increase in earnings per weak = ( 680 -240)/2     = 440/2 =110

d =110

l = a + (n-1)d

a20 = 240 + (19 * 110 ) = 240 + 2090 =   2330

Answer:2334

Step-by-step explanation:

Given: ∠5 ≅ ∠13

Which lines must be parallel?

A) r and s
B) p and q
C) p and r
D) q and s

Answers

Answer:

Option A) r and s

Step-by-step explanation:

we know that

When two lines are crossed by another line (called the Transversal), the angles in matching corners are called Corresponding Angles. If the lines are parallel, then the angles are congruent

In this problem

If lines r and s are parallel

then

m∠5≅m∠13 -----> by corresponding angles

Answer:

the answer on the usa testprep is A.

Step-by-step explanation:

give some brainlest

I need help with this

$5.40+$8.70+$6.30


plz help this is fifth grade math and it is using compensations and it is hard​

Answers

So, let’s pretend those 0’s at the end and the $’s are gone. That’s 5.4+8.7+6.3 .
Then, pretend there isn’t a . there. 54+87+63
Split them up by 10’s and 1’s
5+8+6=19
And
4+7+3=14
Now, we put the decimal back in. (That’s what the . is when there are numbers to the left of it.)
19+1.4=19+1+0.4
19+1=20
20+0.4=20.4
Then, put the 0 and $ back where they were before. $20.40 is your answer!

After solving the given mathematical expression which is $5.40 + $8.70 + $6.30 , we get value equal to $20.40

What is addition ?

The process of adding two or more numbers together or combining things into one group is known as addition.

The given arithmetic expression is $5.40+$8.70+$6.30.

Let's solve the given mathematical expression.

To add decimal numbers , place the decimal point in line with the specified decimal points, align the decimal numbers in accordance with their place values. If we look at the given decimals, we can see that they are like decimals because they have two digits after the decimal point. Therefore, we will arrange them in the proper sequence and perform standard addition rule.

i.e.,

5.40 + 8.70 + 6.30

We can write this as sum of :

= (5+8+6) + (0.40 + 0.70 + 0.30)

Now , solving to get the value :

= (19) + (1.40)

= $20.40

Therefore, after solving the given mathematical expression which is $5.40 + $8.70 + $6.30 , we get value equal to $20.40

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What is 12- 4/5(x+15)=4 please show me step by step.

Answers

Answer:

-5

Step-by-step explanation:

Explanation in the picture.

Estimate 3,182 multiply by 5

Answers

Final answer:

Estimate the product of 3,182 multiplied by 5 by rounding to the nearest hundred, resulting in an estimation of 16,000.

Explanation:

To estimate the product of 3,182 multiplied by 5, we can round 3,182 to the nearest hundred to make the multiplication simpler.

Rounding 3,182 to the nearest hundred gives us 3,200.

We then multiply 3,200 by 5:

3,200 x 5 = 16,000

This estimated product is not an exact answer but gives us a reasonable approximation that is easy to calculate mentally or on paper.

Please help

Nathan bought one notebook and one binder for each of his college classes notebooks cost 0.95 each and binders cost 5.82 each. The total cost of notebooks and binders was 27.08. how many classes is Nathan taking?

Answers

Answer:

0.95 + 5.82 = 6.77 for each

27.08/6.77= 4

so he's taking 4 classes

Answer:

The answer is 4 classes.

Step-by-step explanation:

Nathan bought one notebook and one binder for each of his college classes.

Notebooks cost 0.95 each and binders cost 5.82 each.

So, he paid [tex]0.95+5.82=6.77[/tex] dollars

The total cost of notebooks and binders Nathan paid 27.08.

This means he bought these things for [tex]\frac{27.08}{6.77}=4[/tex] classes.

Taylor would like to build the garden of her dreams. She needs 20 cubic feet of soil containing 12% clay. She has two types of soil that she can combine to achieve this: soil with 20% clay and soil with 8% clay. How much of each soil should she use?

Answers

i believe it’s %32.22.

Hope this helps ! :)

Elijah walked 6 miles in 3 hours. What was his walking rate in hours per mile?

Answers

0.5 hours per mile Djkdkdkdkd

Answer: One hour/two miles

Step-by-step explanation:

Distance=Rate*Time

Distance=6 miles

Time=3 hours

Rate is unknown

6Miles=3Hours(Rate)

6Miles/3Hours=Rate

2Miles/1hour

For each hour that passes, he can walk two miles

an average person has 6x10 2power times as many red blood cells as white blood cells. A small sample of blood has 7x10 3power white blood cells. about how many red blood cells are in the sample

Answers

Answer:

4.2×10to the 6th or 4,200,000

Step-by-step explanation:

First you have to know that you are multiplying these two numbers. When you multiply exponents like there you add the matissa's (6&7) and add the exponents.

6×10to the 2 * 7×10to the 3rd

42 × 10to the 2+3

42×10to the 5th

Something else you need to know is your matissa cant be higher than 10

So:

4.2 × 10to the 6th is your answer

The sample contains 42 × 10⁵ red blood cells.

What happens when same base is multiplied ?

When same base is multiplied their powers gets added.

For example - a×a×a×a×a×a = a⁶.Here a has nothing in it's power means it has 1 to it's power.

According to the given question

For every 1 while blood cells an average person has 6x10² times as many red blood cells.

A small sample of blood contains 7 × 10³ white blood cells.

∴ The amount of red blood cells in the sample is

= (7 × 10³)(6× 10²) red blood cells.

= (7×6)(10³×10²)

= 42 × 10⁵ red blood cells.

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5×25-15615÷5 can someone help simplify this question?​

Answers

Answer:

125-3123

Step-by-step explanation:

5 x 25 is 125, subtracted by 15615 which is 3123

a number
divided by
negative three
is four

Answers

Answer:

-12 ÷ -3 = 4

Step-by-step explanation:

Two negatives equal a positive

Rate as brainliest plz

-12 because -12 divided by -3 is positive 4.

complete 2x+21= using only the communtative property of addition​

Answers

Answer:

-9.5

Step-by-step explanation:

2x + 21 =

2x + 20 = 1 (C.P)

2x = 1-20

2x = - 19

x= - 19/2

x = - 9. 5

A regular polygon has 24 sides. What's the measure of each exterior angle?
A. 18°
B. 15°
C. 20°
D. 16°

Answers

Hey!

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

Explanation and Solution:

A polygon has to at least have 360° total to form a polygon.

Since there are 24 sides you divide 360 by 24.

360 / 24 = 15

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

Answer:

The measure of each exterior angle has to be at least 15° to form a complete polygon of 24 sides.

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

Hope This Helped! Good Luck!

The sum of 10 and a number x is equal to 14.

Answers

Answer:

10+x=14; x=4

Step-by-step explanation:

10+x=14

-10     -10

The 10's cancel out

x=4

Answer:  10+x=14

Step-by-step explanation:

The word "sum" implies addition, so we know we are going to be adding some values. The next part of the sentence just give you your two values, 10 and a number (x). We know to add these two together because of the word sum. The final part of the sentence is "is equal to 14" this simply mean =14. Put all the pieces together and you get : 10+x=14

What is 4527 written in scientific notation?
OA) 4.527
O B) 4.527 x 102
OC) 4.527 x 103
OD) 4.527 x 104

Answers

Answer:

OC) 4.527 x 10^3

Step-by-step explanation:

To write a number in scientific notation, first move the decimal point to create a number between 1 and 10.

4527. becomes 4.527

To get your exponent, count how many places you moved the decimal. In this case, you moved the decimal three places.

4.527 * 10^3

6/7 times 9/7 in simplist form

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

1 [tex]\frac{5}{49}[/tex]

Step-by-step explanation:

1. Multiply the numerators

6 x 9 = 54

2. Multiply the denominators

7 x 7 =49

3. You would get 54/79

4. Simplify

When simplifying you would get 1 [tex]\frac{5}{49}[/tex]

P(-2,2.5) Q(1.4,4) Find the midpoint

Answers

Answer:(-0.3,3.25)

Step-by-step explanation:

The midpoint of P(-2,2.5) and Q(1.4,4) is ( -0.3, 2.25)

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,

M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Given P(-2,2.5)  and Q(1.4,4)

So the midpoint = [(-2 + 1.4)/2, (2.5 + 4)/2]

The midpoint =  [(-0.6)/2, (4.5)/2]

The midpoint = ( -0.3, 2.25)

Hence, the midpoint of P(-2,2.5) and Q(1.4,4) is ( -0.3, 2.25).

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