someone please help

f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]

Answers

Answer 1

9514 1404 393

Answer:

  f(g(x)) = 50x² +140x +93

Step-by-step explanation:

Put the function argument in place of x and simplify.

  f(g(x)) = f(5x+7) = 2(5x+7)² -5

  = 2(25x² +70x +49) -5

  f(g(x)) = 50x² +140x +93

_____

We took advantage of the knowledge that ...

  (a + b)² = a² +2ab +b² . . . . . where a=5x and b=7


Related Questions

PLEASE HELP AND SHOW WORK​

Answers

Answer:

14) x = 6 and y = 8

15) x = -1 and y = 1

16) x = 7 and y = 10

Step-by-step explanation:

14) From the given parallelogram, we can say that;

PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.

Thus;

If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;

PT = TR

2x = y + 4

y = 2x - 4 - - - eq 1

Also;

QT = QS

x + 2 = y - - - eq 2

Put x + 2 for y in eq 1 to get:

x + 2 = 2x - 4

2x - x = 4 + 2

x = 6

Put 6 for x in eq 2 to get;

6 + 2 = y

y = 8

15) similarly from above;

x + 2 = y - - - eq 1

2x = y + 3

y = 2x + 3 - - - eq 2

Put 2x + 3 for y in eq 1;

x + 2 = 2x + 3

2x - x = 2 - 3

x = -1

Put -1 for x in eq 1 to gwt;

-1 + 2 = y

y = 1

16) similarly again;

y = x + 3 - - - (eq 1)

2y = 3x - 1 - - - (eq 2)

Put x + 3 for y in eq 2;

2(x + 3) = 3x - 1

2x + 6 = 3x - 1

3x - 2x = 6 + 1

x = 7

Put 7 for x in eq 1;

y = 7 + 3

y = 10

Thus, x = 7 and y = 10

180° rotation
Pre rotation points

Answers

Answer:

whats the question???????????

can someone help me and tell me how I got it wrong?

Answers

Answer:

You put i at the end.

Step-by-step explanation:

The correct answer is u^5 remove the i.

Right answer would be u^5 my friend

x + y > -3
how do I find the ordered pair and a solution to this inequality ​

Answers

Answer:

x>-3-y

Step-by-step explanation:

subtract y from both sides

4. A rectangle with area 1,600 m2 is 4 times as long as it is wide. What is the sum of the diagonals?

Answers

We need to write out algebraic equations to describe the information we have, then solve them using substitution.

We will define length as a and width as b.

we know that a x b = 1600 cm3  (area = length x width)

and a=4b

So, we can substitute the vaule 4b for a in the first equation:

4b x b = 1600  

we can simplify to 4b2 = 1600

divide both sides by 4:

b2 = 400

take the square root of each side:

b = √400

b=20

 

So we know the width = 20

length = 4  x width = 80

the area of a 12-cm- wide rectangle is 180cm. what is its length?

Answers

Answer:

multiply the legth times width

Step-by-step explanation:

I need help asap pls

Answers

Answer:

[tex]\displaystyle 36° = m∠NQS[/tex]

Step-by-step explanation:

Apply the Midsegment Theorem:

[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]

I am joyous to assist you at any time.

please answer this question i will give brainliest!

Answers

It is either a or b I have a strong feeling it is b!!

Answer:

b is the right answer bc all the others r wrong

What number is 115% of 106? (Show your work)

Answers

1. We assume, that the number 106 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 106, so we can write it down as 100%=106.
4. We know, that x% equals 115 of the output value, so we can write it down as x%=115.
5. Now we have two simple equations:
1) 100%=106
2) x%=115
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=106/115
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115 is what percent of 106

100%/x%=106/115
(100/x)*x=(106/115)*x - we multiply both sides of the equation by x
100=0.92173913043478*x - we divide both sides of the equation by (0.92173913043478) to get x
100/0.92173913043478=x
108.49056603774=x
x=108.49056603774

now we have:
115 is 108.49056603774% of 106

Answer:

121.9

Step-by-step explanation:

1% of 106 =  1.06

1.06 x 15 = 15.9

106 + 15.9 = 121.9

11.
Ummm...how do you do this? ​

Answers

Provide a problem and I'll give you an answer...

Will give brainliest

Answers

Answer:

I hope someone can help you :)

Step-by-step explanation:

BTW I can't see the image its white for  me :( Sorry

Ariel invests $3,000 in an account that pays him 5% interest, compounded annually. How much money will Ariel have in the account after 3 years if no withdrawals or additional deposits are made?

Answers

Answer:

5,120

Step-by-step explanation:

After 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.

How to calculate compound interest?

The formula for compound interest is given:

[tex]A = P(1 +\dfrac{ r}{n})^{(nt)}[/tex]

Where:

A = the final amount,

P = the principal amount,

r = the annual interest rate (as a decimal),

n = the number of times the interest is compounded per year,

t = the number of years,

In this case, we have:

P = $3,000

r = 0.05

n = 1 (compounded annually)

t = 3

Plugging in these values, we get:

[tex]A = $3,000(1 + \dfrac{0.05}{1})^{(1\times 3)[/tex]

A = $3,000(1.05)^3

A = $3,000(1.157625)

A = $3,472.88

Therefore, after 3 years, Ariel will have $3,472.88 in the account if no withdrawals or additional deposits are made.

To know more about compound interest follow

https://brainly.com/question/28556904

#SPJ3

Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last week.

Answers

Answer: the equation would be 8h=240

h=30

Step-by-step explanation:

Please help with the right answer 40 points

Answers

Answer:

if i remember is B

Step-by-step explanation:

Which decimal is less than 0.47?
0.5, 0.64, 0.38, 0.9

Answers

Answer:

0.38

Step-by-step explanation:

I hope this helps you with your test :)

Answer:

0.38

Step-by-step explanation:

.38 is before .47

Helpppppp meee please

Answers

Answer:

7.25 and 7.20

Step-by-step explanation:

I calculated and got it correct

Answer:

a) $14.45 b) 1.45x+1.2y

Step-by-step explanation:

5*1.45+6*1.2=14.45

collect like terms 12m2,- a m, -4m2 ​

Answers

Answer:

Step-by-step explanation:

( 3m + 2) (4m-3)

Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?

Answers

Answer:

he downloaded 9 songs and 1 game

Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00

so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.

100 points! Will mark brainliest! Only answer if u know it!

Answers

Answer:

y = - 2x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (- 3, - 4) into the partial equation

- 4 = 6 + c ⇒ c = - 4 - 6 = - 10

y = - 2x - 10 ← equation of perpendicular line

Step-by-step explanation:

Hey there!

The 1st equation is;

y= 1/2 x-8.............(i)

Comparing the equation y= mx+c. We get;

Slope (m1) = 1/2

The equation of point which moves through point (-3,-4).

(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}

(y+4) = m2 (x+3)..………(ii)

Now, we need to find m2.

So, the condition of perpendicular lines: m1*m2= -1.

[tex] \frac{1}{2} \times m2 = - 1[/tex]

[tex]m2 = - 2[/tex]

Therefore, m2 = -2.

So, let's keep value of m2 in eqaution (ii).

y+4 = -2(X+3)

y+4 = -2x-6

y = -2x -10.

Therefore, the eqaution is y= -2x-10.

Hope it helps......

What is 36.6 – 24 x 2² ÷ 3

Answers

Answer:

36.6 - 24 × 4 ÷ 3 =

= 36.6 -96 ÷3 =

= 36.6 - 32 =

= 4.6

3p(p+5 ??????????????????????????????????//

Answers

3p^2 + 15p

hope that helps

Jose found 14 shells in the beach. He lost the same amount as he has left. Write the doubles addition fact Jose can use to find the number of shells Jose has left.

Answers

Answer:

7

Step-by-step explanation:

Number of shells found = 14

Number of shells lost equals number of shells left :

Let Number of shells lost = x

Using the relation:

Number of shells lost = Number of shells left

x =number of shells found - number of shells lost

x = 14 - x

x + x = 14

2x = 14

x = 14 / 2

x = 7

Number of shells left = 14 - x = 14 - 7 = 7

Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?

Answers

I believe she swam for 3 3/4 in all.

Answer:

3 3/4

Step-by-step explanation:

please answer this question I would highly appreciate it if it was answered or looked on, please

Answers

Answer:

The correct answer would be C

Step-by-step explanation:

Find the coordinates of the orthocenter of a triangle with the vertices (5,3), (8,6), (0,14) at each set of points on a coordinate plane?

Answers

Answer:

coordinates of the orthocenter = (8, 6)

Step-by-step explanation:

I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.

I have also drawn altitude from from A perpendicular to BC at point D.

Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)

m = (y - y1)/(x - x1)

Our coordinates are; A(5,3), B(8,6), C(0,14)

Thus;

Slope of AC; m = (14 - 3)/(0 - 5)

m = -11/5

Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11

Thus, equation of BE is;

(y - 6) = (5/11)(x - 8)

Multiply through by 11 to get;

11y - 66 = 5x - 40

11y - 5x = 66 - 40

11y - 5x = 26

Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1

AD is perpendicular to BC, thus slope of AD = -1/-1 = 1

Equation of AD is;

(y - 3) = 1(x - 5)

y - 3 = x - 5

y = x - 5 + 3

y = x - 2

Putting x - 2 for y in equation of BE, we have;

11(x - 2) - 5x = 26

11x - 22 - 5x = 26

6x - 22 = 26

6x = 26 + 22

6x = 48

x = 48/6

x = 8

Put 8 for x in equation AD, then y = 8 - 2 = 6

coordinates of the orthocenter = (8, 6)

a new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year what will the value of the car be, to the nearest cent, after 15 years?

Answers

The answer is 4034.1

Need a little help with this.

Answers

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

Identify the symmetry
What is the answer??

Answers

Answer:

Both 1 and 2!

What is the equation in slope-intercept form of the line that passes through the
point (2,-2) and is perpendicular to the line represented by y = x +2?

Answers

Answer:

[tex]y=-x[/tex]

Step-by-step explanation:

The slope-intercept form of a line can be written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] are the coordinates of any point that this line passes through.

Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to [tex]y=x+2[/tex] will have a slope of [tex]-\frac{1}{1}=-1[/tex].

Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:

[tex]-2=-1(2)+b, \\b=0[/tex]

Thus, the equation of this line is [tex]\fbox{$y=-x$}[/tex].

Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?

Answers

10x= 5
x= 1/2
For every 2 newspapers he gets $1.
320/10 times 5
32 times 5
Answer:
$250
Other Questions
All of the following would make a formal proof incomplete except what?A) A lack of justificationsB) Incomplete sentencesC) Errors in logicD) Incorrect reasons for statementsUrgent I need this for tonight please!!! Choose the word that best completes the sentence. "The ... man uses coupons when he buys groceries so he can give the money he saved to charity."Answer choices: Stingy, cheap, miserly, thrifty What is m Solve the proportion. Round to the nearest hundredth if necessary [tex] \frac{x + 6}{x} = \frac{10}{7} [/tex] PLZ ANSWER IN THE NEXT 24 HOURS MANY POINTS!!!!!!!!You have found a new element with the atomic mass of 119. In a paragraph explain where you would put in on the periodic table and why you would put it there. What type of properties would this element have? What would you call it? Answer the question below please.DUE TODAYCORRECT ANSWER GET'S BRAINLIEST :) Veronica's teacher asked her to add another material that will dissolve in water into her beaker of sugar water. Which material should she add and how could she get it to dissolve quickly? Who represented Nepal in the first SAARC Summit? Is this a right triangle??? Show work Please help me I promise to mark u the brainiest and give you 40 points please can somebody help me!!How does genetic variation allow humans to survive long-term? Which type of reproduction is responsible for genetic variation? Why was the invention of the cotton gin so important? It reduced the need for slave labor in the south.:It made cotton production more profitable leading to the expansion of slavery. :It created the opportunity for the South to develop its first large textile factories.D: Because it required skilled workers, it led to an explosion of educational and technical training opportunities in the South Solve each of the following equations.(4b + 11)(3b - 7) = 0 how many members in lok adalat of india How many 3 or 8 are in 5 over 4 Please help Noah is solving the inequality 7x + 5 > 2x + 35. First, he solves the equation 7x + 5 = 2x +35 and gets x = 6. How does the solution to the equation help Noah to solve the inequality? Explain your reasoning. To move the objective lens up and down, I would turn the _________ __________ dial. Which two words complete the sentence? Part 1: Determine the domain.DOMAIN: There are 100 classes at Sun Valley Magnet School. 45% of the classes are Math and Science. How many classrooms are not Math and Science? The theory that Evolution results from a slow genetic change in a population is...A Convergent EquilibriumB Co - evolutionC GradualismD Puncuated Equilibrium hiii please help! ill give brainliest if you give a correct answer tysm!