Independent Practice


Find the range of the function rule y = 5x – 2 for the domain.


{–5, –1, 0, 2, 10}


A.
{–0.6, 0.2, 0.4, 0.8, 2.4}


B.
{–23, –3, 2, 12, 52}


C.
{48, 8, –2, –7, –27}


D.
{–27, –7, –2, 8, 48}

Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

- 2x + 7 = 2y

______________

          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

2x + 7 = 2(-3)

2x + 7 = -6

2x = -13

x= -6.5

Answer : (-6.5, -3)

Answer:

(-13/2,-3)

Step-by-step explanation:

First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).

If this has helped you, please mark the is brainliest

Answer:

90ft

Step-by-step explanation:

Area = Width x Length

Length = Area/Width

Length = 4500/50

Length = 90

Hope this helps buds!!

Answer:

[tex]V = 6746.30cm^3[/tex]

Step-by-step explanation:

Given

[tex]Surface\ Area = 1700cm^2[/tex]

Required

Determine the largest possible volume

Represent the dimension with:

[tex]Height = h[/tex]

[tex]Sides = x[/tex]

Surface Area with an open top is:

[tex]Surface\ Area = x^2+ 4hx[/tex]

Substitute 1700 for Surface Area

[tex]1700 = x^2+ 4hx[/tex]

Make h the subject

[tex]4hx = 1700 - x^2[/tex]

[tex]h = \frac{1700 - x^2}{4x}[/tex]

The volume (V) is calculated as:

[tex]V = x^2h[/tex]

Substitute value for h in [tex]V = x^2h[/tex]

[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]

[tex]V = x*\frac{1700 - x^2}{4}[/tex]

[tex]V = \frac{1700x - x^3}{4}[/tex]

[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{1}{4}x^3[/tex]

Differentiate and equate to 0, afterwards

[tex]V' =425 - \frac{3}{4}x^2[/tex]

[tex]425 - \frac{3}{4}x^2 = 0[/tex]

[tex]\frac{3}{4}x^2 = 425[/tex]

Solve for [tex]x^2[/tex]

[tex]x^2 = 425 * \frac{4}{3}[/tex]

[tex]x^2 = 566.67[/tex]

Take the square root of both sides

[tex]x = \sqrt{566.67[/tex]

[tex]x = 23.80[/tex]

Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]

[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]

[tex]h = \frac{1133.56}{95.20}[/tex]

[tex]h = 11.91[/tex]

So, the largest possible volume is:

[tex]V = x^2h[/tex]

[tex]V = 23.80^2 * 11.91[/tex]

[tex]V = 6746.30cm^3[/tex]

Answer:

5 Feet per second.

f = feet  s = seconds

Equation

f = 5s

Answer:

99 degrees

Step-by-step explanation:

all triangles equal  180 degrees total. add up the 2 angles you know (29+52) then subtract it from 180. 180-81=99

Answer:

13 miles an hour

Step-by-step explanation:

Answer:

multiply each side

15 x 7 x 10= 1050

I hope this helps

Step-by-step explanation:

W = 7cm

L= 15 cm total

Underneath L = 10cm

top side of pentagon to the bottom right =

15 - 10 = 5cm

So - 7 x 15 = 105

And - 10 x 5 = 50

Then - 105 + 50 = 155cm²

I Haven't done this in a while

Answer:7b+9x

Step-by-step explanation:hope I helped

Answer:

A. [tex] \frac{\sqrt 3}{3}[/tex]

Step-by-step explanation:

[tex]m\angle QSR = 180\degree - 150\degree \\ (Linear \: pair\: \angle s) \\ \\m\angle QSR = 30\degree \\ \\ \tan( \angle QSR) = \tan \: 30 \degree \\ \\ = \frac{1}{ \sqrt{3} } \\ \\ = \frac{ \sqrt{3} }{3} [/tex]

Answer:

because

TSR + QSR = 180⁰

<=> 150⁰ + QSR = 180⁰

=> QSR = 30⁰

so

[tex] \tan(qsr) = \tan(30) = \frac{ \sqrt{3} }{3} [/tex]

Answer:

x < 12.5 but see below. This is not a straight forward question.

Step-by-step explanation:

Inequality

3.20x < 40

Solution

Divide by 3.2

40 / 3.2 x < 12.5

Here's the question. What do you do with the 0.5? If you think she can buy 1/2 a yard (I think she might be able to in most places stocking bolts of material), then the 0.5 stays.

If you think she can only buy whole yards, then the answer is 12. Since the question does not make it clear, I would go with 12.5 yards. If it marks you wrong then you go with 12.

The question is an inequality. She has to buy less than 12.5

fix the first one,theres no equal sign, and ill solve it

Answer:

A. A

Step-by-step explanation:

Answer:

15 calories

Step-by-step explanation:

Number of calories in 8 ounces of orange juice = 100

Number of calories in 1 ounce of juice = 100/8

Number of calories in 4 ounces of juice = 100/8 x 4 = 50 calories

Number of calories in 8 ounces of pineapple juice = 140

Number of calories in 1 ounce of juice = 140/8

Number of calories in 4 ounces of pineapple juice= 140/8 x 4 = 70 calories

Now the mixture has 50 + 70 = 120 calories in 8 ounce.

So, 1 ounce of mixture has 120/8= 15 calories.

Answer:

times 3

Step-by-step explanation:

add 8 and plus the 10

Answer:

Whats the question

Step-by-step explanation:

also if you are looking for the unit rate its 153.846...

or if you are looking for how many in 2 years then 650,000

Hope this helps

Have a nice day :)

Answer:

1%

Step-by-step explanation:

\text{\color{blue}{100\%} represents the \color{blue}{starting balance}: \color{blue}{\$50}.}

100% represents the starting balance: $50.

Method 1

Express the ending balance as a percentage of the starting balance:

\frac{\color{darkviolet}{\$50.50}}{\color{blue}{\$50}}=

$50

$50.50

​

=

\,\,1.01

1.01

1.01\times100=

1.01×100=

\,\,\color{darkviolet}{101\%}

101%

\text{Subtract the starting \color{blue}{100\%} to get the \color{green}{percent interest}:}

Subtract the starting 100% to get the percent interest:

\color{darkviolet}{101\%}-\color{blue}{100\%}=

101%−100%=

\,\,\boxed{\color{green}{1\%}}

1%

​

Answer:

Lets solve using elimination method

(x+y=-7)*-2

3x+2y=-17

-2x-2y=14

+

3x+2y=-17

x=-3

so lets substitute now

-3+y=-7

y=-7+3

y=-4

answer = (-3,-4)

mark me brainliest

HOPE IT HELPS :)

Answer:

I believe that the answer would be A. Yes, please forgive me if this is wrong

Step-by-step explanation:

Answer:

b. yes

Step-by-step explanation:

RS² + TS² = 25 + 144 = 169

TR² = (TU + UR)² = (8+5)² = 169

RS² + TS² = TR²

∠RST = 90°    (RS ⊥ TS): TS tangent to circle R

Answer:

hi

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Just add 25 to 90 and remember a triangle's angle mus always add to 180

Answer:

r ≥ 6

Step-by-step explanation:

37+15r ≥ 127

-37           -37          37 cancels and you're left with 15r

    15r ≥ 90

   / 15     /15           15 cancels and you're left with r

      r ≥ 6

Answer:

217 ???????

Step-by-step explanation:

======================================================

Work Shown:

x = total bill amount ignoring the tip

18% of x = 0.18x = tip amount

x+0.18x = 1.18x = amount Martin paid = 27

1.18x = 27

x = 27/1.18

x = 22.8813559322033 approximately

x = 22.88 dollars was the total bill.

----------

Checking the answer:

18% of 22.88 = 0.18*22.88 = 4.1184 = 4.12

Martin left a tip of $4.12

Add this on top of the bill to get 22.88+4.12 = 27

This matches with the fact he paid $27.

The answer is confirmed.