f(x) = 5x + 4
g(x) = 5x2 – 7x – 2
Find: f(x) · g(x)

Answers

Answer 1

Answer:

[tex]25x^{3}-15x^{2} -38x-8[/tex]

Step-by-step explanation:

Multiply the equations together

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

25x^3-35x^2-10x+20x^2-28x-8

Add like terms

25x^3-15x^2-38x-8


Related Questions


The number 160 is increased by 50%. The result is then decreased by 25%. What is the final number?
The final number is what?

Answers

Answer:

60

Step-by-step explanation:

50%=.50

160×.50=80

160+80=240

25%=.25

240×.25=60

60 is the final number

Pls awnser these i dont understand them, like i beg u

Answers

Answer:

Step-by-step explanation:

help me pleaseeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

-d=0.8-1.5

-d=-0.7

d=0.7

Answer:

d=0.7

Step-by-step explanation:

1.5=d+0.8

d=1.5-0.8

d=0.7

Which would be an estimate for 36,004 ÷ 853

Answers

Answer:

42.21

Step-by-step explanation:

Answer:

42.2086752638

Step-by-step explanation:

calculator

Lance is drawing a triangle. He draws one side that is 8 inches long and another side that is 5 inches
long. Which one of the following could be the third side?

Answers

Answer:

6 inches

Step-by-step explanation:

(8-5)>x>(5+8)

Determine the value of the variable that makes each equation true.

Answers

Answer:

-9

-11

-4

Step-by-step explanation:

A long-distance delivery truck averages 8 miles per gallon when the truck is full. The
miles per gallon improves by 20% when the truck is empty. If the truck travels 160 miles
full to deliver its goods, and then travels back 160 miles empty, approximately how many
gallons will the truck use in all?

Answers

8 mpg when full
8*1.2=9.6mpg when empty
160/8+160/9.6=36.67

The gas used by truck is 36.66 mpg.

What is linear equation?

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

A long-distance delivery truck averages 8 miles per gallon when the truck is full.

The miles per gallon improve by 20% when the truck is empty.

The distance delivery truck averages 8 miles per gallon when full, and the amount of gasoline used (g) is expressed in terms of the number of miles driven ([tex]m_{f}[/tex]).

When the truck is full, the amount of gasoline is shown as,

[tex]m_{f}[/tex] = d/8

given distance is 160 miles

[tex]m_{f}[/tex] = 160/8  = 20 mpg

Then,

The miles per gallon improve by 20% when the truck is empty.

The number of miles driven when empty is represented as,

[tex]m_{e}[/tex] = d/(8 + 1.6)

[tex]m_{e}[/tex]  = d/9.6

[tex]m_{e}[/tex] = 160/9.6

[tex]m_{e}[/tex]  = 16.66 mpg

total gasoline  required = [tex]m_{e}[/tex] +  [tex]m_{f}[/tex]  = 20 + 16.66 = 36.66 mpg

Hence the total  gas used is 36.66 mpg.

Learn more about linear equation;

https://brainly.com/question/29739212

#SPJ2

What is the solution of the system of equations shown in the graph below?

Answers

Answer:

The point on the plane (4, 2)

That is x = 4 and y = 2

Step-by-step explanation:

Look for the point where the two lines given by the system of linear equations  intersect. That point is (4, 2)

x = 4 and y = 2

Taryn buys 8 identical glasses. Her total is $48 before tax. How much did Taryn pay for each pair of glasses?

Answers

Answer:

$12 per pair of glass.

$6 per glass.

Step-by-step explanation:

48/8 = 6

A pair is 2, so I multiplied 6 by 2.

6 x 2 = 12

So, Taryn paired $12 per glass.

--

ANSWER: $12 per pair

EXPLANATION: $48 divided by 8 pairs of glasses equals $6 per glasses. So then you multiply 6 by 2 to get the amount per pair.

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will mark brainlest if correct! pls help

Answers

Answer:

See below.

Step-by-step explanation:

[tex] y_2 = 4x^2 [/tex]

[tex] x = 1 [/tex]

[tex] y_2 = 4(1)^2 = 4 = a [/tex]

a = 4

[tex] y_3 = 4^x [/tex]

[tex] x = 1 [/tex]

[tex] y_3 = 4^1 = 4 = b [/tex]

b = 4

[tex] y_1 = 4x [/tex]

[tex] x = 2 [/tex]

[tex] y_1 = 4(2) = 8 = c [/tex]

c = 8

[tex] y_3 = 4^x [/tex]

[tex] x = 2 [/tex]

[tex] y_3 = 4^2 = 16 = d [/tex]

d = 16

[tex] y_1 = 4x [/tex]

[tex] x = 3 [/tex]

[tex] y_1 = 4(3) = 12 = e [/tex]

e = 12

[tex] y_2 = 4x^2 [/tex]

[tex] x = 3 [/tex]

[tex] y_2 = 4(3)^2 = 36 = f [/tex]

f = 36

[tex] y_3 = 4^x [/tex]

[tex] x = 3 [/tex]

[tex] y_3 = 4^3 = 64 = g [/tex]

g = 64

100 points and a Brainliest

just answer this question



what is dabi real name off of my hero academia

Answers

Answer: Toya Todoroki

Step-by-step explanation:

Answer:

Touya Todoroki

Step-by-step explanation:

i used to watch the show

Please help I have 30 mins

Answers

Answer:  0.6 in 10 % ; 0.4 in 15 %

Step-by-step explanation:

1. (x*10%) + (y*15%)/ x+y=12%

2. x+y = 1  x= 1-y

(0.1x + 0.15y/ x+y= 12/100) * 100

(10x + 15y/x+y = 12)*(x+y)

10x+15y= 12x + 12y

-2x=-3y

2x = 3y   2(1 - y)= 3y

2-2y=3y   2= 5y

y= 0.4

x= 0.6

Is 18/5 and 7/2 proportional

Answers

Answer:

no its not

Step-by-step explanation:

The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two
numbers, and then find the PRODUCT of the two numbers.
The product of the two numbers is 32
The product of the two numbers is 58
The product of the two numbers is 832
The product of the two numbers is 64

Answers

Answer:

The product of the two numbers is 832

Step-by-step explanation:

x+y= 58

x-y=6

2x = 64

x = 32

y = 26

32*26=832

How do I complete the square for 4x^2+ 8x-5= 0?

Answers

Answer:

man I have no idea dude I don't really know squares if you're talking about square root I really don't know

Answer:

x = [tex]\frac{1}{2}[/tex],  -  [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

This is not so fun!

[tex]4x^{2} + 8x - 5 = 0\\[/tex]

Step 1:  Move the 5 to the right side

[tex]4x^{2} +8x = 5[/tex]

Step 2:  Divide thru by 4

[tex]x^{2} + 2x = \frac{5}{4}[/tex]

Step 3:  Divide 2 (from 2x)  by 2 and square the result and add that to both sides of the equation.

2/2 = 1    1 squared = 1

[tex]x^{2} + 2x + 1 = \frac{5}{4} +1 = \frac{9}{4}[/tex]

Step 4:  Factor the left side

[tex](x + 1)^{2} = \frac{9}{4}[/tex]

Step 5:   Take the square root of both sides

x + 1 = ±[tex]\sqrt{\frac{9}{4} }[/tex] =  ± [tex]\frac{3}{2}[/tex]

Step 6:   Move the 1 to the right side and add the results

x = -1 ± [tex]\frac{3}{2}[/tex] = -1 +  [tex]\frac{3}{2}[/tex]   or -1 -  [tex]\frac{3}{2}[/tex]

              = [tex]\frac{1}{2}[/tex]    or   -  [tex]\frac{5}{2}[/tex]

And bingo, you have the solutions by completing the square.  Lot of fun, huh.  

When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
10x-25y+18-25x+10y-3
-15x-15y+15
-10x+25y+18+25x-10y+3
35x-35y+21

Answers

Answer:

35x-35y+21

Step-by-step explanation:

You would have to combine the like terms together to get 35x-35y+21.

By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5

How to simplify an algebraic expression

In this question we must simplify an algebraic expression by applying the following list of properties:

Commutative propertyAssociative propertyModulative propertyDistributive propertyExistence of additive inverseExistence of multiplicative inverse

Now we proceed to simplify the expression given in the statement:

0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12)     Given

10 · x - 25 · y + 18 + 25 · x - 10 · y + 3     Distributive and associative properties/Definition of multiplication

35 · x - 35 · y + 21     Result

By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910 #SPJ5

find the area of the figure.​

Answers

Answer:

The are is 136 cm.

Step-by-step explanation:

12 * 8 = 96cm

8 * 4 = 32cm

96 + 32 = 128cm

8 - 4 = 4 / 2 = 2

4 * 2 = 8

128 + 8 = 136cm

plz mark as brainliest if correct!

Answer:

Step-by-step explanation:

12-4=8

area=8×8+(8+4)/2 ×4

=64+6×4

=64+24

=88 cm²

bag contains 150 jelly beans. Toros reached into the bag 20 times and randomly selected one jelly bean. Each time, he recorded the color of the jelly bean, placed it back in the bag, and then mixed the jelly beans.

The following table represents the number of times Toros chose each color of jelly bean.
Based on these results, what is the probability that the next jelly bean Toros draws out of the bag will be yellow?

Answers

Ok so 150 total right? Divide that by 20 than multiply the picked up beans to find the probability of pulling a yellow jelly bean. That’s is 150/20=7.5 or 15/2. 3 (yellow jelly beans) is multiples by 7.5 which gives 15/100 chances of getting a yellow jelly bean in your next pull. Now simplify that, your welcome.

Q:
What is 9.687-3.699?

Answers

Answer:

5.988

Step-by-step explanation:

_9.687

3.699

=5.988

how many times does the divisor 4 divides into 324

Answers

Answer:

81 times

Step-by-step explanation:

4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4

Reread this sentence from paragraph 7. Click on the
definition that gives the correct connotation of the word strove.

Humans had been instrumental in driving George's
subspecies close to extinction and then strove to do
everything thay could to save it.

A) tried for the first time or began an
attempt

B) tried as an experiment or test to
see what would happen

C) tried with great effort against
difficulties

D) tried in an attempt to prove that
something is true

Answers

Answer:

tried with great effort against difficulties

Step-by-step explanation:

I got it right.

The definition that gives the correct connotation of the word strove will be tried with great effort against difficulties.

What is the meaning of the word strive?

The meaning of the word strive is to make a concerted effort to achieve something or make something happen, especially over a long period of time or in the face of adversity.

Strove is the word used for past incidents. Strive is the present form of the word strove.

The definition that gives the correct annotation of the word strove will be tried with great effort against difficulties.

Hence option C is correct.

To learn more about the strive refer to the link;

https://brainly.com/question/24578751

5.3 lesson 14 problem set answer

Answers

i 100% agree with this statement

Find the 92nd term of the arithmetic sequence -29, -22, -15, ...

Answers

Answer:

608

Step-by-step explanation:

The appropriate general formula here is a(n) = a(1) + (n -1)d, where d is the common difference.  Here, d = +7.  Thus:

a(92) = -29 + (92-1)(7) = 608

A soccer tournament was designed with 512 teams where an eighth of the teams were eliminated after each round. Write a function, f(x), that models the number of teams still in the number of teams still in the tournament after x rounds have been played.

Answers

Answer:

f

Step-by-step explanation:

fsdsdsdwdd

37=-3+5(x+6), Please provide explanation.

Answers

Answer:

x=2

Step-by-step explanation:

youd distribute the 5 first so the equation is now

37=-3+5x+30

then group the common terms (-3 and 30 in this case)

37=5x+27

now subtract 27 from both sides to start to isolate 5x

10=5x

divide by 5 to find x

2=x

hope i helped :)

37=−3+5(x+6)
37 = -3 + (5)(x) + (5)(6)
37 = -3 + 5x + 30
37 = (5x) + (-3 + 30)
37 = 5x + 27
5x + 27 =37
5x + 27-27 = 37-27
5x= 10
Divide 5 on both side and you get x= 2

find the value of d.
1/2d - 5 -1/4d = 10

Answers

d=60. multiply both sides of the equation by 4 since it’s a factor, giving you 2d-20-d=40. since there are like terms with d, collect them to get d-20=40 and move 20 to the right and change it’s sign. that will give you d=40+20, then calculate to get d=60. hope this helped! :)

5. help me i’ll give you brainliest if u get this right

Answers

Answer: D.) 2

Step-by-step explanation:

In a rhombus, all sides are congruent; they have the same lengths (like a square). This means that if this parallelogram was a rhombus, 14 - x and 2x + 8 will have to be equal.

14 - x = 2x + 8

Subtract 2x from both sides

14 - 3x = 8

Subtract 14 from both sides

-3x = -6

Divide both sides by -3

x = 2

simplify 2 to the power of 4 times 2 to the power of 6

Answers

Answer:

1/4

Step-by-step explanation:

=2^4×2^-6

=2^-2

=1/4

Answer:

you add the exponents so youd do 4+6 which is 10. and then 2 to the power of 10 is 1024

what is 15 divided by 58.5

Answers

Answer:

0.25641

Step-by-step explanation:

[tex]\frac{15}{58.5} = 0.25641[/tex]

Answer:

its actually 3.9

Step-by-step explanation:

how i know is i put 0.26 didnt work it was a wrong answer

Help plzzzzzzzzzzzzzzzz

Answers

the answer is a or b it’s one of them
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