Jessica bought 5​ gallons of orange juice. The cost of 1​ quart of orange juice is $2​. How much, in dollars, did Jessica spend on orange juice?

Answer: no solution

Step-by-step explanation:

Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

Answer:

yes

Step-by-step explanation:

yes

Answer:

3418.05

Step-by-step explanation:

Answer:

equilateral

Step-by-step explanation:

all angles are the same size. Has to be equilateral

A.) we know,

=》

[tex] \dfrac{5}{8} \: \: of \: total \: students \: = boys[/tex]

=》

[tex] \dfrac{5}{8} \times 800 [/tex]

=》

[tex]5 \times 100[/tex]

=》

[tex]500 \: \: boys[/tex]

now,

number of girls :

=》

[tex]800 - 500[/tex]

=》

[tex]300 \: girls[/tex]

Answer:

There are 500 boys and 800 girls

I hope it helps

have a nice day

좋은 하루 되세요

# 캡틴 파워

#Captainpower

Answer:

64

Step-by-step explanation:

Here is why:

The formula for Volume is Length * Width * Height

In this case 4*8*2.

Any Questions?

The correct answer is 64 square cm.

The formula to find the volume of a rectangular prism is length x height x width (i.e., lwh).

Input the values first:

4 x 8 x 2

Then calculate the expression:

4 x 8 x 2 = 64

I hope this helps; have a wonderful day!

Answer:

It's 110°

Step-by-step explanation:

180 +70 = 250.

360-250=110

Answer:

1. 1/7

2. 1/4

Step-by-step explanation:

maths

SA=240sq.cm

have an amazing day <3

Answer:

<1 = 113

<2 = 67

<3 = 113

Step-by-step explanation:

m<2 = 67 (because of vertical angles)

<1 + 67 = 180

<1 = 113

<1 = <3 because of vertical angles

Answer:

C. {(0, 8), (0, -4), (7, 4), (12, 1)

Step-by-step explanation:

hope it help

good luck

Answer:

A

Step-by-step explanation:

Answer:

No, it is not a solution

Step-by-step explanation:

Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;

7x-2≤y<4x+7

Equate both values of y, the point of intersection occurs when;

7x-2 = 4x+ 7

7x - 4x = 7 + 2

3x = 9

x = 9/3

x = 3

Substitute x = 3 into y = 7x - 2

y = 7(3) - 2

y = 21 - 2

y = 19

Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect

Answer:

8 and 5.

Step-by-step explanation:

x - y = 3

x + y= 13

by elimination method ,we get

2x = 16

x = 16/2

x = 8

8 + y = 13

y = 13 - 8

y = 5

x = 8 ,y = 5

Answer:

8 and 5

Step-by-step explanation:

Answer:

x=60

Step-by-step explanation:

everytime you have a right triangle it equals 180 degrees so you just have to add the two angles then subtract 180 from it and it you need Y just do 60-180=120 because it is an obtuse equals 180 as well.

Answer:

40 hours

Step-by-step explanation:

Time=Distance/Speed

Time=1800/45

Time=40 hrs

Answer:

[tex]40h[/tex]

Step-by-step explanation:

[tex]speed = \frac{distance}{time} \\ time = \frac{d}{s} \\ = \frac{1800km}{45kmh ^{ - 1} } \\ = 40h[/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day!

Answer:

73.5

Step-by-step explanation:

Part/whole=percent/100

?/500=2.1%/100

500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.

So, 10.5 times 7 is 73.5

Answer:

$10.55

Step-by-step explanation:

Answer:

x = 4.3588989435406

I hope it's helps you

4 ounces x $8 per ounce = $32

16 ounces x $3 per ounce = $48

4 ounces + 16 ounces = 20 total ounces

$32 + $48 = $80 total cost

$80 / 20 ounces = $4 per ounce cost

Answer:

The correct answer is $515,840.00

Step-by-step explanation:

Answer:

The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.

Step-by-step explanation:

The increment is 4% each year.

What is increment?

Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.

What is lease?

A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.

What is hundredth?

In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.

We use the formula,

[tex]A=P(1+\frac{R}{100})^{n}[/tex]

[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]

The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.

To know more about lease, hundredth, increment here

https://brainly.com/question/14804073

#SPJ2

Answer:

x=-11

Step-by-step explanation:

Answer:

x= 35/8 or 4 3/8

Step-by-step explanation:

8X=35

/8    /8

x= 35/8

x= 4 3/8

Answer:

23

Step-by-step explanation:

Answer:

Step-by-step explanation:

My guess is x^5+x^4-X+7

Answer:

(F ° G)(x) = x⁶ + 16x⁴ + 84x² + 147

Step-by-step explanation:

(F ° G) (x) = f(g(x)) = (x² + 5)³ + (x² + 5)² – (x² + 5) + 2

_________________________________

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a + b)² = a² + 2ab + b²

_________________________________

(F ° G) (x) =

((x²)³ + 3(x²)²(5) + 3(x²)(5)² + (5)³) + ((x²)² + 2(x²)(5) + (5)²) + (-x² – 5) + 2 =

(x⁶ + 15x⁴ + 75x² + 125) + (x⁴ + 10x² + 25) + (-x² – 5) + (2) =

x⁶ + 16x⁴ + 84x² + 147

Answer:

32 unit cubes

Step-by-step explanation:

Volume = length x width x height

Volume = 4 x 2 x 4

Answer:

32 unit cubes

Step-by-step explanation:Volume = length x width x height

Volume = 4 x 2 x 4

Answer:

66

Step-by-step explanation:

10% of 330 = 33

another 10% of 330 = 33

therefore, 20% of 330 = 66

Answer:

6

Step-by-step explanation:

3.5x - 4.5

3.5 (3) - 4.5

10.5 - 4.5

6

Answer:

I think its 90 degrees or 60 degrees