The functions r and s are defined as follows.
r(x)= -2x-2
s(x)=2x² +2
Find the value of s (r (2)).

Answers

Answer 1

[tex]r(x) = -2x-2\\ s(x) = 2x^2+2[/tex]

[tex]s\big(r(2)\big) = s(-2\cdot 2-2) = s(-4-2) = s(-6) = 2\cdot(-6)^2+2 = 2\cdot 36+2 =\\ = 72+2 = 74[/tex]

[tex]\Rightarrow \boxed{s\big(r(2)\big) = 74}[/tex]

Answer 2

Answer:

74

Step-by-step explanation:

Given functions:

r(x) = -2x - 2 s(x) = 2x² + 2

Find s(r(2)) in steps:

r(2) = -2*2 - 2 = - 4 - 2 = - 6s(r(2)) = s(- 6) = 2(-6)² + 2 = 72 + 2 = 74

Related Questions

PLEAS HELP!
The diagram shows a convex
polygon.
What is the value of a?

Answers

Answer:

40°

Step-by-step explanation:

56+84=140

180-140=40°

class 6 MATHS! is this correct???​

Answers

Answer:

yes Bro it is correct ar u writing an exam

That is the correct answer

30 points please answer (Must show work) Screenshot attached!!!

Answers

Answer:

1  thats it

Step-by-step explanation:

Answer:

the second, fourth

Step-by-step explanation:

Since they all have the same fraction, but different positive and negatives in each equation we can find out which ones are equal to the original equation by how many negatives each equation has.

The original equation has 2

first option only has 1, so we can eliminate that one

the second option has two, and they are the same equation as the original, only in reverse, so this one will be one of the answers.

the third only has one so we can get rid of that one.

the fourth has 2, even though it has a + it still makes 2/5 negative, so it is one of the answers as well.

and the fifth one is positive, and there are no negatives, so we can get rid of that one.

so the answers would be the second and fourth ones.

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.​

Answers

Question:

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.

Solution:Let the age of Tiffany be x years.Then, the age of Emily = 4x years.After 10 years, the age of Tiffany will be (x+10) years.After 10 years, the age of Emily will be (4x+10) years.Therefore, by the problem

[tex]4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5[/tex]

So, Tiffany's present age = 5 years.Emily's present age = (4×5) years = 20 years.Answer:

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

Charles has read 180 pages of a book. This is of the total number of pages in the book. If p represents the number of pages in the book, what is p?

Answers

Answer:

More than 180. It needs more info to have an actual answer.

Answer: I believe it would be 180 considering he has 180 pages in a book and you wanna know how many pages he has it would be 180 hoped this helped love ✨

Step-by-step explanation:

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the answer in the form a√2 + b√3 where a and b are both integers.​

Answers

The area of the cylinder is a function of its height (h) and radius, ([tex]\mathbf{4\sqrt 3}[/tex])

The exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]

The given parameters are:

[tex]\mathbf{Area =56\pi\sqrt 6}[/tex]

[tex]\mathbf{r=4\sqrt 3}[/tex]

The surface area of a cylinder is calculated as:

[tex]\mathbf{Area = 2\pi rh + 2\pi r^2}[/tex]

Substitute values for Area

[tex]\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}[/tex]

Divide through by pi

[tex]\mathbf{56\sqrt 6= 2 rh + 2r^2}[/tex]

Substitute value for r

[tex]\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}[/tex]

[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}[/tex]

[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}[/tex]

Collect like terms

[tex]\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}[/tex]

[tex]\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}[/tex]

Rationalize

[tex]\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}[/tex]

[tex]\mathbf{h = 7\sqrt 2- 4\sqrt 3}[/tex]

Hence, the exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]

Read more about surface areas t:

https://brainly.com/question/25131428

I just need mental help at this point​

Answers

Answer:

1:2

Step-by-step explanation:

QRS is double the size of TUV

step 1: find the factors of ac that add up to b. ac=6(−10)=−60 b=−11 the factors of −60 that add up to −11 are and . step 2: rewrite the trinomial with the x-term expanded, using the two factors from step 1. 6x2−11x−10 (6x2− )+( −10) step 3: group the first two and second two terms together, find the gcf and factor again. (2x−5)+ (2x−5

Answers

Answer:

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11

.

6x2+4x−15x−10

Factor out the greatest common factor from each group.

2x(3x+2)−5(3x+2)

Factor the polynomial by factoring out the greatest common factor, 3x+2

.

(3x+2)(2x−5)

HELppppppppppppppppp

Answers

9514 1404 393

Answer:

40 -8p -3w$4

Step-by-step explanation:

Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.

  40 -8p -3w . . . . represents the money remaining

For p=3 and w=4, this evaluates to ...

  40 -8(3) -3(4) = 40 -24 -12 = 4

Ms. Liu will have $4 left after her purchase.

Which is the smallest integer that makes the inequality 2x + 3 > 5 true?​

Answers

0 is the correct answer;

2*0=0, and 0+3=3.

However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.

It has to be > not =

2

Step-by-step explanation:

because if you subtitute 2 for x you would get

2(2) +3>5

4+3=7

7>5

which makes the inequality true

1. How much of a difference is there, in interest, between an investment of $899 with simple interest of 5% and an investment of $499 with a simple interest of 9%, both for a six year term?

2. What balance will you have in your account, in 8 years, if you invest $4000 at 3.5% compounded quarterly?

3. Gina deposited $1500 in an account that pays 11% interest compounded monthly. What will the balance be in 5 years?

4. You invested $4,400 for 2 years at 7.3% compounded semianually. What is your total balance after 12 years?

5. You want to buy a new motorcycle so you borrow $14,200 for 5 years at an interest rate of 13% and it’s compounded daily. How much interest will you have paid after the 5 year term has ended?

Answers

The answer to the question is 06

Convert the units of measure

Answers

Answer:

22.5

Step-by-step explanation:

24 hr in a day

so

540 : 24 = 22.5 or 22 1/2

QUICK!!

fill in the blanks below in order to justify whether or not the mapping shown represents a function.

Answers

Step-by-step explanation:

I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :

it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).

but in order to be a function, every input value must have exactly one resulting output value. which is violated here.

2/3 : 2/6 as a unit rate

Answers

Answer:

3/1

Step-by-step explanation:

Find the value of x.

Answers

calculate the formula of the triangle and then use pythagoras thereom to solve the values according to their sides

Don't forget to thank me later

We need to find the scale factor for this which will give us how much the triangle was scaled down.
We can find this out by doing 8/12 which is simplified to 2/3.

We can check this is correct because 12 x 2/3 gives us 8.
So now we do 15 x 2/3 = 10

This means x - 4 = 10
x = 14

Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4​

Answers

Answer:

y = 5x

Step-by-step explanation:

The first step is to find the slope. The table shows an increase of 5 on the x-axis and 1 on the y-axis. Our slope is 5/1 or 5

The y-intercept is 0 because when x=0, y=0. The value of y is the y-intercept.

help please! if correct i will give brainley

Answers

Answer:

The scale factor is 1.5! I hope this helps!

Answer: 1.5

Each measurement:

12/8 = 1.5

9/6 = 1.5

15/10 = 1.5

ar can drive 90 miles on 3 gallons of gas. How
many miles can be driven with 11 gallons of gas?

Answers

90* 3 = 30
30 x 11 = 330
330 miles

The average distance from Earth to the Moon is approximately 384,400,000 kilometers.

What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?

A 3.844 x 10^4 kilometers

B 3.844 x 10^5 kilometers

C 3.844 x 10^7 kilometers

D 3.844 x 10^8 kilometers

Answers

9514 1404 393

Answer:

  D.  3.844 × 10^8 kilometers

Step-by-step explanation:

To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.

Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...

  3.844 × 10^8 km

Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.

Answers

Answer:

5/8,  20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

Answer:

5/8; 20/32

Step-by-step explanation:

10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term

 equivalent fraction  5/8 = ?/32  means 32÷ 8 = 4 × 5 =20

5/8 = 20/32

If using 10/16 = ?/32     means 32 ÷ 16 = 2 × 10 = 20

Again 10/16 = 20/32

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

help pls. i’ll give brainliest

Answers

Answer:

last 2 I think

Step-by-step explanation:

okokokokokipullup

Calculator
What are the coordinates of the midpoint of CD where C(2,
6) and D(4, 10)?
O (3, 2)
0 (2, 3)
0 (3, – 8)
0 (-1, 2)
1
2
OCT
20
tv

Answers

Answer:

O (3, 2)

Step-by-step explanation:

use the vectors method

(2+4)/2. (-6+10)/2

(3, 2)

The perimeter of a rectangle is equal to 54 units. The length of the rectangle is 2k units, and the width of the rectangle is k units
Which expression represents the perimeter, and what is the width of the rectangle?

Answers

Perimeter is (2 * Length + 2 * width)

The equation to use is 2(2k) + 2(k) = 54

The expression to represents the perimeter is,

54 = 2 (2k + k)

And, The width of the rectangle is, 9 units.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The perimeter of a rectangle is equal to 54 units.

And, The length of the rectangle is 2k units, and the width of the rectangle is k units.

Now, We know that;

Perimeter of rectangle = 2 (Length + Width)

Substitute the given values, we get;

Perimeter of rectangle = 2 (Length + Width)

54 = 2 (2k + k)

54 = 2 × 3k

54 = 6k

54/6 = k

k = 9

Hence, The width of the rectangle is, 9 units.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ2

8) What is the area of a polygon with vertices
A(-2,4), B(4,4), C(7,0) and D(-5,0)?
(A) 48
(B) 42.5
(C) 36
(D) 24

Answers

Answer:

[C] 36.

Step-by-step explanation:

the given polygon is trapezoid, where its bases are AB and CD.

The required area can be calculated using the formula: A=0.5(AB+CD)*h, where h - height of the ABCD.

The lengths are: AB=6; CD=12; h=4, then the required area:

A=0.5(6+12)*4=36

1.35 - 0.829 SHOW YOUR WORK​

Answers

Answer:

0.521

Step-by-step explanation:

It's just like subtracting

Last year 300 people attended a play with ticket price of $8. The school estimates that 20 fewer people attend for each $1 increase in price. What ticket price would give the greatest income?

Answers

Answer:

$12

Step-by-step explanation:

If we stuck with the price of $8, then we end with an income of $2400

Increasing it by $1 will decrease attendance by 20

8 x 300 = 2400

9 x 280 = 2520

10 x 260 = 2600

11 x 240 = 2640

12 x 220 = 2640

13 x 200 = 2600

We're starting to go down, so let's stop there

The ticket price of $11 or $12 appears to give the most income

I would stick with $12 since your still getting more money from one ticket

The price of a ticket stick at $12 since you still get more money from one ticket.

What ticket price would give the greatest income?

Last year 300 people attended a play with a ticket price of $8.

The school estimates that 20 fewer people attend for each $1 increase in price.

If we keep the price at $8, we'll end up with a $2400 profit.

Increasing it by $1 will result in a 20 percent drop in attendance.

8 × 300 = 2400

9 × 280 = 2520

10 × 260 = 2600

11 × 240 = 2640

12 × 220 = 2640

13 x 200 = 2600

Let's come to a halt here since we're starting to descend.

The $11 or $12 ticket price looks to generate the most revenue.

I'd continue with $12 because you'll still make more money with one ticket.

More about the greatest income link is given below.

https://brainly.com/question/9453332

#SPJ2

Please help me on this thank you I’ll give brainliest

Answers

Answer:

Eh, you're not getting any help since you lied about "giving brainliest".

Step-by-step explanation:

ILL give u 35 points if u answer this. i need help

Answers

The answer is 11xy+4x^2t

Find the geometric mean between each pair of numbers

Show your work please
Thank you❤️❤️❤️

Answers

Answer:

1.26

Step-by-step explanation:

geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26

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