Function notation
Given f(x) = 5x - 3, find f(-2).
Choose:
A-13
B-7
C-5
D0

Answer:

Width = 86 feet

Step-by-step explanation:

Create two equations with the info:

L = 27 + W

where L represents the length and W the width of the backyard.

The other one is about the area of the rectangular backyard:

Area = L x W

where you replace the area with 9718 and the length (L) with (27 + W):

[tex]Area= L\,*\,W\\9718=(W+27)\,W\\9718=W^2+27\,W\\W^2+27\,W-9718=0[/tex]

and solve for W using the quadratic equation:

[tex]W=\frac{-27+/-\sqrt{27^2-4(1)(-9718)} }{2\,(1)} \\W=\frac{-27+/-\sqrt{39601}}{2} \\W=\frac{-27+/- 199}{2}[/tex]

This gives us two solutions:

W = - 113

and W = 86

We use the positive solution since this is a distance.

Therefore the width is: 86 feet

Answer:

x=28

Step-by-step explanation:

180-42=138 since a triangle adds up to 180

2x+10+3x-12=138 then combine like terms

5x-2=138 add 2 to both sides

5x=140 divide each side by 5

x=28

Answer:

Use linear equation to calculate intercepts.

x minus one-half y = negative 4

Complete the table with values for a and b.

A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.

a =  

✔ 8

b =  

✔ –4

Step-by-step explanation:

those are ur correct answers

Answer:

Use linear equation to calculate intercepts.

x minus one-half y = negative 4

Complete the table with values for a and b.

A 2-column table with 3 rows. Column 1 is labeled x with entries 0, negative 2, b. Column 2 is labeled y with entries a, 4, 0.

a =  

✔ 8

b =  

✔ –4

Step-by-step explanation:

Answer:

m= 7 / 6

Step-by-step explanation:

we need to start out by plugging in the integers into the formula which is the following:

m= y2 - y1 / x2 - x1

m= -2 - 12 / -6 - 6

then we begin to solve

m= -14 / -12

this is not in its simplest form, so we simplify it

(in this case I simplified by 2)

m= -7 / -6

and because two negatives will give you a positive, your final answer is

m= 7 / 6

The 1st question says that you should look clearly and it tells you what you need to learn. Use this information with all the other questions

Answer:

24 ft²

Step-by-step explanation:

find the length of the base of each triangle through a² + b² = c², c being hypotenuse.

after finding the length of each individual base, use A= 1/2bh (multiply base and height and then divide by 2) to calculate area of each triangle. then add and round. hope this helps

Answer:

53

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1 coin = 24 points

2 coins = 48 points

3 coins - 72 points

~theLocoCoco

Answer:

23

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of hours required to tutor to have enough money to pay for the trip is 23 hours.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of days for the summer vacation = 6

Savings = $840

Earnings per hour = $45

Airfare cost = $525

Food and sightseeing = $780

Hotel cost per night = $95

Number of hours = x

We can make an expression.

525 + 780 + 6 x 95 = 840 + 95x

525 + 780 + 570 = 840 + 45x

1875 = 840 + 45x

1875 - 840 = 45x

1035 = 45x

1035/45 = x

x = 23

This means 23 hours.

Thus,

The number of hours required to tutor to have enough money to pay for the trip is 23 hours.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer/Step-by-step explanation:

Recall: the ratio of the areas of two similar figures = the square of the ratio of the corresponding sides of the similar figures.

This will give us the scale factor.

The scale factor indicates how many times larger the second triangle is than the area of the first.

Let's find how many times larger is the area of the second triangle is to the first:

1. ∆ G And ∆ F

[tex] \frac{Area_{F}}{Area_{G}} = \frac{side_{F}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{G}} = \frac{6^2}{3^2} [/tex]

[tex] = \frac{36}{9} = 4 [/tex]

∆F is 4 times larger than ∆G

2. ∆ G And ∆ B

[tex] \frac{Area_{B}}{Area_{G}} = \frac{side_{B}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{G}} = \frac{2^2}{4^2} [/tex]

[tex] = \frac{4}{16} = 0.25 [/tex]

∆B is 0.25 times ∆G

3. ∆ B And ∆ F

[tex] \frac{Area_{G}}{Area_{B}} = \frac{side_{F}^2}{side_{B}^2} [/tex]

[tex] \frac{Area_{F}}{Area_{B}} = \frac{8^2}{2^2} [/tex]

[tex] = \frac{64}{4} = 4 [/tex]

∆F is 16 times larger than ∆B

4. ∆ F And ∆ H

[tex] \frac{Area_{H}}{Area_{F}} = \frac{side_{H}^2}{side_{F}^2}} [/tex]

[tex] \frac{Area_{H}}{Area_{F}} = \frac{2^2}{6^2} [/tex]

[tex] = \frac{4}{36} = \frac{1}{9} [/tex]

∆H is ⅑ times ∆F

5. ∆ G And ∆ H

[tex] \frac{Area_{H}}{Area_{G}} = \frac{side_{H}^2}{side_{G}^2} [/tex]

[tex] \frac{Area_{H}}{Area_{G}} = \frac{2^2}{3^2} [/tex]

[tex] = \frac{4}{9} [/tex]

∆G is 4/9 times ∆G

6. ∆ H And ∆ B

[tex] \frac{Area_{B}}{Area_{H}} = \frac{side_{B}^2}{side_{H}^2} [/tex]

[tex] \frac{Area_{B}}{Area_{H}} = \frac{1.5^2}{2^2} [/tex]

[tex] = \frac{2.25}{4} = 0.6 [/tex] (nearest tenth)

∆B is 0.6 times ∆H

Answer:

[tex] {x}^{2} = 36 \\ x = \sqrt{36 } \\ x = 6 \\ it \: is \: rational \: number \: because \: we \: can \: write \: 6as \: 6 \1 \: it \: is \: in \: the \: form \: of \: p \q \: where \: \: q \: i \: not \: equals \: to \: 0[/tex]

hope this will help you.

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]8p-4p=2p+6[/tex]

Solve the left side:

[tex]4p=2p+6[/tex]

Subtract 2p from both sides:

[tex]4p-2p=2p+6-2p[/tex]

[tex]2p=6[/tex]

Divide both sides by 2:

[tex]\frac{2p}{2}=\frac{6}{2}[/tex]

[tex]p=3[/tex]

Answer:

p=3

Step-by-step explanation:

8p-4p=2p+6

4p=2P+6

4p-2p=6

2p=6

P=6/2

p=3 ans

Answer:

2.1 < x <2.5

Step-by-step explanation:

i’m taking the test rn i’m not sure if it’s correct i’ll lyk!

Answer:

B on Edge

Step-by-step explanation:

Answer:

y=4/3x-1

Step-by-step explanation:

Answer:

Yes.

because yea

Answer:

2/5 so 4/10

THE ANSWER IS A

Answer:

4/10

Step-by-step explanation:

get a common denominator (which is 10) then subtract

Answer:

angles that are opposite each other when two straight lines intersect.

Step-by-step explanation:

Answer:

there is the answer good luck

The correct sentence will be;

⇒ The weight of the things inside the box.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

Now,

Since, The sentence is,

''The amount of energy it takes to lift a box might be a function of;''

We know that;

The amount of energy it takes to lift a box might be a function of the weight of the things inside the box.

Thus, The correct sentence is;

⇒ The weight of the things inside the box.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

7

Step-by-step explanation:

Just put it

Answer:

7

Step-by-step explanation:

Did it in I ready

Answer:

20 Gallons of paint are needed.

Step-by-step explanation:

Surface Area of a rectangular prism formula is 2 * length * width + 2 * length * height + 2 * width * height.

Substituting the given values, we get:

SA = 2 * 20 * 13 + 2 * 20 * 8 + 2 * 13 * 8

SA = 1048

Area of the floor is length * width. 20 * 13 = 260

Subtract the area of the floor from SA as we do not paint the floor. 1048 - 260 = 788

The number of gallons of paint is 788 / 40 as each gallon covers 40 sq feet. We round this number up to ensure that we have more than enough paint. 788 / 40 = 19.7. Rounding that to 20.

Therefore, 20 gallons of paint are needed.

Answer:

t = 11/4

Step-by-step explanation:

Step 1: Write out equation

4t - 2 = 9

Step 2: Add 2 on both sides

4t = 11

Step 3: Divide both sides by 4

t = 11/4

Answer:

[tex]t = 2\frac{3}{4} \\\\t = 11/4[/tex]

Step-by-step explanation:

[tex]4t -2 =9[/tex]

Collect like terms and simplify

[tex]4t=9+2\\\\4t =11[/tex]

Divide both sides of the equation by 4

[tex]\frac{4t}{4} = \frac{11}{4} \\\\t = \frac{11}{4} \\\\11\div 4 =2 \:remainder\: 3\\\\= 2\frac{3}{4}[/tex]

Answer:

62

Step-by-step explanation:

Plug in the value of a in the equation:

12(4) - 6 + 7(4) - 2(4)

Solve 12(4) - 6:

12(4) - 6 = 48 - 6 = 42

Solve 7(4) - 2(4):

7(4) - 2(4) = 28 - 8 = 20

Combine both answers (42+20):

42+20 = 62

Complete answer:

12(4) - 6 + 7(4) - 2(4) = 62

Answer:

D) 0.8

Step-by-step explanation:

To get this answer, divid 4 by 5! 4 divided by 5 is equivalent to 0.8!

Answer:

$7.25 = 2.5, so divide by 7.25 by 5 = 1.45 <- better deal & $0.46333333333 per litre.

5.74 = 1.5, so divide 5.74 by 3 = 1.91333333333

Step-by-step explanation:

Why 3 and 5 - 0.5 is 5 times 2.5 and so is 0.5 times 3= 1.5

1.91333333333 - 1.45 = $0.46333333333 per litre.

Answer:

c and d?

Step-by-step explanation:

im not sure if thats right but those are the only 2 numbers that i see beetween the number line

Answer:

A, C, D, E

Step-by-step explanation:

-7/10 in decimal form is -0.7 so it would be between -0.2 and -0.8

-9/10 as a decimal is -0.9 so it is too high

-1/2 as a decimal is -0.5 so it is between -0.2 and -0.8

-1/4 as a decimal is -0.25  so it is too high

-2/5 as a decimal is -0.4 so it is between 0.2 and 0.

EDIT: 1/4 is right actually so it's d to.

Answer: 100,000 + 2000 + 200

Hope this helps!

Please mark Brainliest!

Answer:

100,00+2,000+200

Step-by-step explanation: