Select the equation that is the inverse of the given function. f (x) = StartFraction x minus 3 Over 5 EndFraction f Superscript negative 1 Baseline (x) = 5 x + 15 f Superscript negative 1 Baseline (x) = 5 x + 3 f Superscript negative 1 Baseline (x) = 3 x minus 5 f Superscript negative 1 Baseline (x) = negative five-thirds x

Answer:

-3/4

Step-by-step explanation:

The First step is to distribute the 7 in the second part of parentheses.

-5+5-7n=21

-5-7n=21+5

Then collect the terms

-12n=16

Lastly distribute both sides by -12

And the answer is -3/4

Answer:

I agree

Step-by-step explanation:

Some rectangles aren't parallelograms

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If the lengths of a and b are equal, the degrees of the angles should also be equal.

Answer:

A, D, C, B.

5/9, 3/5, 2/3, 3/4.

Step-by-step explanation:

Covert to decimals:

5/9 = 0.555...

3/4 = 0.75

2/3 = 0.666...

3/5 = 0.6

So it is  5/9, 3/5, 2/3, 3/4.

Answer:

3/4

Step-by-step explanation:

Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances

The required probability of getting a number less than 5 is 3/4

The correct option is (B)

The mathematical possibility of any event is called probability

The probability of impossible event is zero and sure event is one

The probability can be calculated as

Probability = [tex]\frac{favourable}{total}[/tex]

here we have given total event or sample is

S = {2, 3, 4, 5}

n(S) = 4

The required probability of getting a number less than 5

Favorable event E = {2, 3, 4}

n(E) = 3

Therefore the

P(E) = 3/4

Hence the correct option is (B)

This is the conclusion to the answer.

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Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Answer:

C

Step-by-step explanation:

I think the answer is C,

since to find the relative frequency, you divide the specific frequency

(in this case people over 30 who prefer ocean swimming, 185 people)

by the # of values total

(all values recorded, which in this case is the 609 peoples' surveys)

so, divide 185 by 609, which is C

Answer:

13 square units

Step-by-step explanation:

The area of the parallelogram is 13 square units

The area of a parallelogram is the product of the height and the base of the parallelogram

Assume the parallelogram has the following properties

Base = 6.5 units

Height = 2 units

The area of the parallelogram is calculated as:

Area = Base * Height

So, we have:

Area = 6.5 units * 2 units

Area = 13 square units

Hence, the area of the parallelogram is 13 square units

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Answer:

3) 0.326

Step-by-step explanation:

Total Number of surveyed households =125

We want to determine the probability that a randomly selected household would have a laptop given that it does not  have a tablet.

Written in Probability notation: P(Laptop|No Tablet)

[tex]P(Laptop|No Tablet)=\dfrac{P(L\cap T')}{P(T')} \\=\dfrac{31/125}{95/125}\\=\dfrac{31}{95}\\\\=0.326[/tex]

The correct option is C,

Answer:

Step-by-step explanation:

The first rule is that 2 of the sides must be bigger than the third.

4 and 7 makes 11 which is not bigger than 12, so A is not an answer.

5 + 7 = 12 That does not exceed 12, so the second one is not an answer

12 12 and 7 works perfectly. It makes an isosceles triangle. Any two of the three sides added together is larger than the third side.

If you put 19 20 or 21 into what you think might make a triangle, you would be incorrect. 12 and 7 makes 19. 19 is too large because 12 and 7 will lie flat on 19. No triangle works.

So only 12 works.

In short, 5<x<19 will create a triangle. Anything outside that inequality will not.

Answer:

7 and 12

Step-by-step explanation:

using triangle inequality theorem

if triangle has side a,b, and c, then all of them will trus if fulfill this inequality

a+b > c

a+c > b

b+c > a

now take a = 7 and b = 12

so the number c which can make triangle with a and b is

7 and 12

Answer:

(x - 4) (x - 5)

Step-by-step explanation:

Factor the following:

x^2 - 9 x + 20

The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):

Answer: (x - 4) (x - 5)

Answer:

(2, -2)

Step-by-step explanation:

Go along the x line to under point B (2) and then go up the y line to across form point B (2) then reflect it so (2, -2)

Answer:

(2,-2)

Step-by-step explanation:

when you reflect from b you two down to the x axis and the do it again. you will get your coordinates

Answer:

108

Step-by-step explanation:

Hope this helps! :)

Answer:

108

Step-by-step explanation:

Edge 2020

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

-6 + -6 = -12

-6 * -6 = 36

meaning -6 in in both

if you want to find x

x = 6

Answer:

6

Step-by-step explanation:

x2-12x+36=0

find a two numbers that add to -12 and multiply to 36

-6 and -6

(x-6)(x-6)=0

x-6=0     x-6=0

x=6         x=6

Answer:

17.3

Step-by-step explanation:

1.5×6+8.3

=9.0+8.3

=17.3

hope it helps

Answer:

1. (-1/4,0)(1.5,0)

2.(-1/2,2)(6/4,2)

Step-by-step explanation:

just locate the numbers on the graph

Answer: The first one and the third one

Step-by-step explanation:

The first one because a+c would equal the same as b+c due to the fact that a and b are equal. The second one would be because when solving for w+2=7 then you would subtract 2 from both sides and get 5 and the second one states after being simplified that w=5

Answer:7/4 and 3

Step-by-step explanation:

Just took the test

Answer:

I think that the answer is D E

The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The population changed from 25,000 to 30,000. Then the percentage is calculated as,

P = [(30,000 - 25,000) / 25,000] x 100

P = (5,000 / 25,000) x 100

P = 0.20 x 100

P = 20%

The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.

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Answer: n=1.25x

Step-by-step explanation:

X represent the number of yards and n represent the total amount

The function which shows the fabric with a price of $1.25 per square yard will be y = 1.25x where x represents square yard and y represent the price of fabric.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function.

Given that the

Price of fabric = $1.25/ yard

Let's say the price of fabric = y

Square yard = x

Then y = 1.25x so it will be the correct answer.

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Answer:

x=19

Step-by-step explanation:

The 2 angles are inside of a right angle.  We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.

3x+11+22=90

Combine like terms by adding 11 and 22

3x+33=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.

3x+33-33=90-33

3x=90-33

3x=57

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=57/3

x=57/3

x=19

Answer:

X=19

Step-by-step explanation:

3x+11+22=90

3x+33=90

   -33   -33

——————-

 3x= 57

——   ———

3          3

———————

x= 19

Answer:

[tex]997.66ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{3\sqrt{3} }{2} a^2h\\=\frac{3*\sqrt{3} }{2} *4^2*24\\=997.66ft^3[/tex]

Answer:

[tex]b+g=120[/tex]

[tex]b+5b=120[/tex]

Step-by-step explanation:

let b be the number of boys went to the dance

let g be the number of girls went to the dance

Total number of students went to the dance are 120.

Which means the boys and girls collectively are 120 which forms the following equation.

[tex]b+g=120[/tex]

The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:

[tex]g=5b\\[/tex]

Insert it in the previous equation to get

[tex]b+5b=120[/tex]

Answer:

90

Step-by-step explanation:

multiply 83 by .07 equals 5

then add 83 + 5= 88 rounded to nearest tenth = 90

Answer:

im pretty sure the second option is correct

Step-by-step explanation:

the open circle means the is greater than or equal to

since the arrow is pointing to the right that means that x is greater than

Answer:

84

Step-by-step explanation:

Answer:

x=3.9 approximately

Step-by-step explanation:

Using Pythagorean theorem:

[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]

[tex]x^{2} + 25x^{2} = 400[/tex]

26x^2 =400

x^2 = 15.3846

x=3.9

Equality Properties

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Let's define what the problem gives us:

We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:

Now, we can substitute our variables and solve for x, which will help us find the side lengths as well:

∴ our x approximately equals 3.9.

Now we can use our value of x to solve for the missing triangle lengths:

Length of 5x:

∴ this particular side length has a length of 19.5.

Length of x:

∴ this particular side length has a length of 3.9.

∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.

___

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Topic: Geometry

Unit: Triangles

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

x = -2

y = 1

Answer:

224/4

this will give you 56 miles per hour, or c.

Step-by-step explanation:

Hope this helps!