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

solve pls brainliest

Answers

Solve what

I think ym forgot to add the question or sth

3x^2-24x+48 pls help me

Answers

Answer:

This polynomial is either a function like f(x), or it's just =0 and it's solved by a quadratic equation.

Step-by-step explanation:

Let's say it's equal to 0, we can easily divide the whole expression with 3, as obviously 3,24,48 have the same divisor(3), then we are left with:

x²-8x+16=0, then we apply the quadratic equation, and we got only 1 solution and that's x=4

If it is a function f(x), than it will have roots(root of a quadratic function is the x-coordinate where y=0, basically when the parabola intersects the x-axis(y=0), as we'll get that the only root is x=4

6 (31 + 163 72)6 +2=

Answers

31 + 16372 = 16403

6 x 16403 = 98418

98418 x 6 = 590508

590508 + 2 = 590510

The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite

Answers

9514 1404 393

Answer:

  one solution; (x, y) = (4/3, 11/3)

Step-by-step explanation:

The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.

__

The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.

Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.

Which pair of angles are supplementary?

Answers

Answer:

1 and 7

Step-by-step explanation:

supplementary means that they add up to 180º

1,3                    5,6              1,7          

2,4                   7,8              2,8

1,2                    5,7              3,5

3,4                   6,8              4,6

There are still some more but my hands are tired of typing.

Answer:

A: 1 and 7

Step-by-step explanation:

when 2 angles are put next to each other on a straight line with a line going through the middle those two angles always add to 180 since 180 is equal to a straight line.

supplementary angles are 2 angles that together make 180.

out of the options given, all of them except 1 and 7 are equal angles and as a result would not add to 180. if you put angles 1 and 7 on a straight line together, they do, thus the answer is A, aka 1 and 7.

−2/9−(−1/3÷3/5)

PLZZZZ ANSWER TEST

Answers

Answer:

The answer should be 1/3 Also known as 0.3333

Can someone answer this please I need it ASAP

Answers

Answer:

Frank scored 10 runs

B) the mean is 20

Step-by-step explanation:

Maria made 143 for 11 hours of work. At the same rate, how much would she make for 7 hours of work?

Answers

Answer:

She would make 91

Step-by-step explanation:

Show your solution follow the steps need an answer, please need an answer, please.​

Answers

Answer:

Step-by-step explanation:

27 ) 2x² - x - 1 = 0

2x² - 2x +  x  - 1 = 0

2x ( x - 1) + (x - 1) = 0

(x - 1)(2x + 1) = 0

x - 1 = 0  ; 2x + 1 = 0

x = 1   ;     2x = -1

                  x = -1/2

x = 1 ; -1/2

Option b

28) Area of a rectangle = 24 cm²

length * width = 24

(3x +2 )(2x -1) = 24

3x(2x -1) + 2(2x - 1) = 24

3x *2x - 3x *1 + 2*2x - 2*1 = 24

6x² -3x + 4x - 2= 24

6x² + x - 2 -24 = 0

6x² + x - 26 = 0

6x² -12x + 13x - 26 = 0

6x(x - 2) + 13(x - 2) = 0

(x -2)(6x +13) = 0

x = 2      {Ignore 6x + 13 as it gives negative value}

length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm

Width  = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm

29) Area of square = 900 cm²

Side² = 900

(5x)² = 900

25x² = 900

x² = 900/25

x² = 36

x = √36 = √6*6

x = 6 cm

30) base = b cm

height = b + 2

Area of triangle =  24 cm²

[tex]\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\[/tex]

b(b + 2) = 24*2

b² + 2b = 48

b² + 2b - 48 = 0

b²  - 6b + 8b  - 48 = 0

b(b - 6) + 8(b - 6) = 0

(b - 6) (b + 8) = 0

b - 6 = 0    {Ignore b +8 = 0 as it gives negative value}

b = 6 cm

height = 6+ 2 = 8 cm


[tex]\frac{8}{22} + \frac{3}{22} [/tex]
SOLVE It
NO G.OOGLE ​

Answers

Answer:

[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]

Step-by-step explanation:

[tex]\sf\huge\longmapsto \frac{8}{22} + \frac{3}{22} [/tex]

[tex]\sf\huge\longmapsto \: \frac{8 + 3}{22} [/tex]

[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]

Help help please please

Answers

Step-by-step explanation:

=2(20)+2(14)

=2⋅20+2(14)

=40+2(14)

=40+2⋅14

=40+28

=40+28

=68

Answer:

P = 68

Step-by-step explanation:

P = 2L + 2W

P = 2(20) + 2(14)

P = 40 + 28

P = 68//

please help!
I can't solve for m, g, h, or k​

Answers

I don’t know buddy sorry x :(((((

Which equation does NOT have like terms to collect?

Answers

Answer:

15t+9r=2

Step-by-step explanation:

the terms which are the variables are not the same on any part of the equation

x(x+6)=-8 quadratic equation

Answers

Answer:

x=-2 or x=-6

Step-by-step explanation:

x^2+6x+8=0

(x+2) (x+6)=0

x=-2 or x=-6

write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2

Answers

Answer:

3, 9, 81, 6561

Step-by-step explanation:

previous term × itself

[tex]\\ \sf\longmapsto f(n)=[f(n-1)]^2[/tex]

f(1)=3

[tex]\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9[/tex]

[tex]\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81[/tex]

[tex]\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561[/tex]

The cost c, for manufacturing x flags is given by c=x? -24x +39. Find the number of flags manufactured if the cost is $120.
The number of flags are 0
(Simplify your answer.)

Answers

9514 1404 393

Answer:

  27

Step-by-step explanation:

You want to find x when c = 120.

  120 = x^2 -24x +39

  x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form

  (x -27)(x +3) = 0 . . . . .  .factor it

Solutions are ...

  x = 27, x = -3 . . . . . values of x that make the factors zero

The number of flags manufactured for a cost of $120 is 27 flags.


Find the total future amount for $500 invested at 2.02% for 5 years
compounded monthly.
State your answer in terms of dollars rounded to the nearest cent
(hundredth).
Do not include a $ sign with your response.

Correct Answer is but explain how
553.09

Answers

monthly compound interest formula is
P(1+(r/12)^12t
Where p is the principal amount (starting money), r is the rate (in decimal form), and t is time
2.02% is 0.0202 in decimal form
So to plug in our values:
500(1+0.00168333)^12(5)
Plug that in the calculator and then you get
553.09134377
Round to the nearest cent (unless indicated otherwise)
And then you get
553.09

Eight less than the product of a number and three (algebraic expression)

Answers

Answer: 3a - 8

The product of ‘a number’ and 3 could be written as 3 x a or 3a

Eight less than 3a means 3a minus 8 or 3a - 8

HELP PLSSSSSSSSSSSSSSSSSSSS

Answers

Step-by-step explanation:

I need help in that too :(

Answer:

1 true

2true

3 false

4 false

Step-by-step explanation:

Paloma decided to divide 1,292 by 31 using partial quotients. She uses 30 as her first partial quotient. Which are the partial quotients Paloma should show in her work


A 20, 10

B 30, 10,1

C 10,10,10,1

D 10,10,10,10,1

Answers

I think it would be B-30,10,1

Find the difference. Simplify the
answer if possible.

15 9/15 - 11 1/3
A) 26 10/18
B) 4 4/15
C) -4 4/15
D) 4 8/12

Answers

D

Step-by-step explanation:

you subtract 15 and 11 = 4 then subtract 9-1 is 8 and then you find the common denominator

−a^3 b^5 is a polynomial or not

Answers

Answer:

not

Step-by-step explanation:

HOPE IT HELPS YOUBTW GOOD DAY TO YOU

A line that includes the point (3, 2) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=0x+2

Step-by-step explanation:

Dakota worked 55 hours over the last two weeks and his paycheck was $572.00. how much does he earn per hour

Answers

Answer:

572/55 = $10.4

or

(572 * 2)/ 55 = $20.8

Step-by-step explanation:

You divide the amount earned over the number of hours worked.

Or

if the paycheck is given monthly, the second option fits. Because $572 is half what they earned that month.

Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.
Using a line of best fit with the equation y = -3x + 21 to predict the value of y when x = 10 is an example of Choose...

causation
interpolation
extrapolation
correlation

Answers

Answer:

Step-by-step explanation:

D

Circle A has a circumference of 25 centimeters.
Circle B's diameter is 3 times as long as circle A's
diameter.
What is the circumference of circle B?

Answers

The circumference of circle B would be; 74.98 cm.

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

We have been given that Circle A has a circumference of 25 centimeters.

And Circle B's diameter is 3 times as long as circle A's diameter.

Thus, the Diameter of Circle B = 3 x the Diameter of Circle A

Since The circumference of the circle A = 2πr = 25

2πr = 25

r = 25/  2π

r = 3.98 cm

The Diameter of Circle A = 2 x 3.98 = 7.96 cm

Since Diameter of Circle B = 3 x the Diameter of Circle A

Diameter of Circle B = 3 x 7.96 cm

= 23.88 cm

Radius = 23.88 / 2

Hence, the circumference of circle B =  2πr

= 2 x 22/7 x 23.88 / 2

= 74.98 cm

Learn more about circumference here;

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Solve pls brainliest

Answers

Answer:

In order: 7.5, 7.5061, 7.56, 9.213

Step-by-step explanation:

Express as a trinomial.
(x-5)(3x-6)
(x−5)(3x−6)

Answers

The polynomial expressed as trinomial is 3x² - 21x + 30

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials can be classified based on the number of terms as binomial, trinomial.

Trinomial is a polynomial with 3 terms.

Given the polynomial:

(x - 5)(3x - 6)

= 3x² - 15x - 6x + 30

= 3x² - 21x + 30

The polynomial expressed as trinomial is 3x² - 21x + 30

Find out more on polynomial at: https://brainly.com/question/497625

The nurses of a local hospital pledged of the following donations, in pesos, to the
Philippine Red Cross.
50 100 75 80 40 60 50 20 25 30 42
Find the:
(b) Mean
(c) MAD (in one decimal place only)

Answers

Answer:

Mean = 52  MAD = 47.3

Step-by-step explanation:

mean  = 50 + 100+ 75 + 80 + 40 + 60+ 50+ 20 +25 +30 +42  / amount of data = 572 / 11 = 52    MAD = rearrange numbers = 100+ 80+75+ 60 + 50 + 50+ 42 + 40+30+ 25+20 = 25 + 5 +15+10+8+2+10+5+5 = 85  / amount of data = 85/9= 9.44 then distance on number line each way = 9.44/2 = 4.72  = MAD =52-4.72 = 47.28

The mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.

What is mean and MAD?

Mean is the average number of the given terms and can be calculated as the ratio of the sum of the terms to the total number of terms.

mean = sum of the terms / total number of terms

MAD refers to the Mean absolute deviation which is the average distance between each data and the mean.

MAD =  [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]

mean = sum of the terms / total number of terms

[tex]= \frac{50 + 100 + 75 + 80 + 40 + 60 + 50+ 20+ 25+ 30+ 42 }{11}[/tex]

[tex]=\frac{572}{11}[/tex]

= 52

Mean = 52

MAD =  [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]

         =  2+ 48 + 23 +28+ 12+8+2+32+27+22+10 / 11

         =  214 / 11

Mean absolute deviation = 19.45

Therefore, the mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.

Learn more about Mean absolute deviation here:

https://brainly.com/question/10528201

Helppp A local office supply store charges 18 to set up their business card printing machine with the design and $0.15 in materials per business card to print

Answers

Answer: It’s 18+0.15x divided by x so it’s B

Step-by-step explanation:

The expressions that represent average cost A(x) are B) A(x) = (18 + 0.15x)/x

and F)  A(x) = 18/x + 0.15.

What is the weighted average?

When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.

To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.

Given, A local office supply store charges $18 to set up their business card printing machine with the design and $0.15 in materials per business card to print.

The expression that represents average cost A(x) = (set up cost + cost per business card×no of cards) divided by no. of cards.

A(x) = (18 + 0.15x)/x.

Also A(x) = 18/x + 0.15.

learn more about weighted averages here :

https://brainly.com/question/28042295

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