Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = X -4
h(x) = 3/4x
h(x) = 1/4x

The length of the leg is 9.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From the triangle,

S = length of the leg.

Now,

Applying the Pythagorean theorem.

√18² = 3² + s²

18 = 9 + s²

s² = 18 - 9

s² = 9

s = 9

Thus,

The length of the leg is 9.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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Answer:

9.1

Step-by-step explanation:

Answer:9.1

Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point

Answer:

1:26

Step-by-step explanation:

You can divide both sides by 2.

Answer:

11.75 please give brainliest

Step-by-step explanation:

Answer:

1. a. miles or feet

b. inches

c. ounces

d. gallons

2. a.  1:36

b. 1/1

c. 63,360

Step-by-step explanation:

Answer:

x = 3 1/2

Step-by-step explanation:

8/14 = 2/x

Using cross products

8*x = 14*2

8x = 28

Divide by 8

8x/8 = 28/8

x = 7/2

x = 3 1/2

Answer:

a)  (10×13) + 55 b) 185 Nu c)-75 or -205 (unsure of instruction)

Step-by-step explanation:

a) He spends 10 Nu a day for 13 days, meaning he has spent 10×13 Nu. He originally had this amount, plus the 55 he ends up with. This means he began with (10×13) + 55.

b) This can then be solved using BODMAS (or PEMDAS, whatever you call the order of operations).

We begin with the multiplication, which turns the expression to 130+55. We then move to addition, giving a final result of 185.

c) For this one, I'm not sure if it is if he did that from the beginning or from now, so I've done both.

If it's from the beginning, you would use 185-(20×13) to solve this. This gives 185-260, which solves to -75.

If it's from the point of 55 Nu, you would use 55-(20×13), which gives 55-260. This solves to -205.

**You may wish to revise writing integer expressions. I'm always happy to help!

Answer:

0.76

or

-0.76

hope this helps

Answer:

True

Step-by-step explanation:

This is an Isosceles triangle because it has two equal sides.

Answer:

0.27 goldfish per cubic foot

Step-by-step explanation:

Find the density of the tank by dividing the number of goldfish by the volume of the tank:

12/45

= 0.27

So, the density of the tank is 0.27 goldfish per cubic foot

Answer:

0.27 is the answer

Step-by-step explanation:

I took the test :)

Answer:

[tex]A=1099.56cm^{2}[/tex]

Step-by-step explanation:

Formula to ind surface area of cylinder:

[tex]A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}[/tex]

[tex]A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}[/tex]

[tex]A=1099.557443cm^{2}[/tex]

Therefore, area will be:

[tex]A=1099.56cm^{2}[/tex]

hope this helps :)

Step-by-step explanation:

Decide on the number of classes.

Determine the range, i.e., the difference between the highest and lowest observations in the data.

Divide range by the number of classes to estimate approximate size of the interval

hope it helps.

Answer:

58

Step-by-step explanation:

Area = Area of entire recangle - area of cut out

a = (10 * 7) - (6 * 2)

a = 70 - 12

a = 58

Answer:

A) A = 275 + 125x

B) 1850 - 100x

C) 7 months

D) 13 months

Step-by-step explanation:

He has $275 saved.

He plans to save $125 each month.

We are told that the computer is currently $1,850

And the price drops $100 each month.

Thus;

A) If x represents the number of months, then equation of the amount he will save is;

A = 275 + 125x

B) If x represents the number of months, then equation to represent the total cost is;

1850 - 100x

C) To find the Number of months he will need to save, we will equate gotten in question A to the equation gotten in question B. Thus;

275 + 125x = 1850 - 100x

Rearranging;

125x + 100x = 1850 - 275

225x = 1575

x = 1575/225

x = 7 months

D) If the price doesn't drop like he is anticipating, then the cost will still be $1850. Thus;

275 + 125x = 1850

125x = 1850 - 275

125x = 1575

x = 1575/125

x = 12.6 months

Approximating to the nearest whole number gives 13 months

Answer: 14

Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:

(15) - 1/2(2)

1/2 * 2 = 1

15 - 1 = 14

Answer:

f(g(x)) = x^2+4x+3

Step-by-step explanation:

f(x) = x^2 – 1

g(x) = x + 2

f(g(x))=g(x)^2-1=(x+2)^2-1=x^2+4x+4-1=x^2+4x+3

Answer:

Step-by-step explanation:

you see 12=12 (side)

6=6 (side)

116°=116°(angle between sides)

now what can be the answer?

two sides and one angle equal

so SAS

Answer:

10 minutes

Step-by-step explanation:

Mario can eat e21 hot dog in 6 minutes

Let 35 hot dog  eats in x minutes :

[tex]\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min[/tex]

Therefore, mario would eat 35 dogs in 10 min.

Answer:

$36.97  

The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .

The tax was 8% so this means he is adding

Answer:

D

Step-by-step explanation:

First find the slope of the line. The two points I will use are (0, 3) and (4, 2).

(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)

Answer: D

Step-by-step explanation:

In order to have the same slope, in y=mx+b form, the two "m" must be equal.

Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)

slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4

Now find which equation has the m of -1/4 and that's your answer

Hint its D.

Answer:

false

Step-by-step explanation:

false

Answer:

it is false it'll be (-infinity,infinity )

Step-by-step explanation:

Hope this helps!! <3

Answer:

The large square covers more

Step-by-step explanation:

Given

See attachment for squares

Required

Which covers more plane

The large square has the highest dimension and by extension, it has the highest area.

This means that, less large squares will be needed to cover more areas compared to other sizes of the squares.

Take for instance, the following analysis;

Large square

Dimension: 3 by 3;

[tex]Area=3*3 = 9[/tex]

Medium Square

Dimension: 2 by 2

[tex]Area = 2 * 2 = 4[/tex]

Small square

Dimension: 1 by 1

[tex]Area = 1 * 1 = 1[/tex]

The square with the largest area covers more of the plane.

Hence, the large square covers more of the plane

Answer:

Step-by-step explanation:

20 houses

Answer:

20

Step-by-step explanation:

You would set it up as 8:5=32:x. Since you are multiplying the number of cars by 4, you should do the same with houses. This gives 32:20, meaning there are 20 houses on the block.

**You may want to revise multiplying and dividing with ratios. I'm always happy to help!

Complete question is;

Which set of numbers is included as part of the solution set of the compound inequality

x < 6 or x > 10?

A) {–7, –1.7, 6.1, 10}

B) {–3, 4.5, 13.6, 19}

C) {0, 6, 9.8, 14}

D) {8.5, 9.1}

Answer:

B) {–3, 4.5, 13.6, 19}

Step-by-step explanation:

The given compound inequality x < 6 or x > 10 means that x must be less than 6 and greater than 10. And also that x cannot fall between 6 and 10.

Looking at the given options, the only set of values that fall into this compound inequality range is option B.

Answer:

3x^2

Step-by-step explanation:

Answer:

333,333 Three hundred and thirty-three thousand , three hundred and thirty-three

Step-by-step explanation:

4000000/12

Answer:

[tex]x=30[/tex]

Step-by-step explanation:

[tex]5x=3x+60[/tex]

[tex]-3x[/tex]   [tex]-3x[/tex]

[tex]2x=60[/tex]

[tex]/2[/tex]     [tex]/2[/tex]

[tex]x=30[/tex]

Check:

[tex]5(30)=3(30)+60[/tex]

[tex]150=90+60[/tex]

[tex]150=150[/tex]

Hope this helps!

Answer:

(x+2)(x+6)

Step-by-step explanation:

that is the answer because math

=>x^2+8x+12

=>x^2+6x+2x+12

=>x(x+6)+2(x+6)

=>(x+6)(x+2)

Hope it helps you

Answer:

$70

Step-by-step explanation:

essentially, Judy paid 90% of the original price

therefore you can write this equation where 'x' equals the original price:

.9x = 63

x = 63/.9

x = 70

3x -17

4   -5 =0

3(x-4)=2

4          5