consider the functions show. Explain the graph of a function its inverse are reflections over the line y = x

Answer:

ounces, cups, pints, quarts, and gallons

Step-by-step explanation:

[tex]\text{Hello there! :)}[/tex]

[tex]x = 8\\\\AB = 128 \text{ units}[/tex]

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[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]

[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]

[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]

[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]

[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]

[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]

[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]

Answer:

a) 249 = 249 or 2.49 × 10²

b) - 100 = - (10)²

c) 10 + 7169 = 7179

Step-by-step explanation:

Answer:

Look below

Step-by-step explanation:

9(-4) is the same as 9*(-4) so it equals -36.

-36/-3=positive 12 so ye. The answer is 12

Slope-intercept form is: y = mx + b

m = slope

b = y-intercept

y + 3 = 4(x - 5)

Distribute the 4

y + 3 = 4x - 20

Subtract 3 from both sides.

y = 4x - 23

Answer:

Step-by-step explanation:

Slope intercept form...

y=mx+c

where, m=slope

c=intercept

y + 3 = 4(x - 5)

Open the Brackets.

y + 3 = 4x - 20

SUBTRACT 3 FROM BOTH SIDES.

y + 3 (-3)= 4x - 20 (-3)

Take note of the signs and solve.

y = 4x - 23

4 is the slope.

-23 is the intercept.

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Answer:

c the 3rd one

Step-by-step explanation:

hope this helps you.

Well, this should be a bit easy.

We can move the negative sign to the denominator:[tex] \frac{3}{-8}[/tex]

We can also multiply the entire fraction by an integer.

( I would perfer [tex] \frac{3}{-8}[/tex] as the answer)

:)

Answer: 60

Step-by-step explanation: 1/4 of 96 is 24 so you subtract that and get 72. And 1/6 of 72 is 12 and you subtract that leaving you with 60 to remain.

Work Shown:

2/5 of 75 = (2/5)*75 = 0.4*75 = 30

Yesterday 30 people gave speeches. There are 75-30 = 45 people left.

1/3 of 45 = (1/3)*45 = 15

Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.

Answer:

280 miles

Step-by-step explanation:

We want to determine what speed Camden is going first so we can find the distance. To do so, you can divide the total miles (320) by the number of hours (8) to find he is driving 40 miles per hour. Then, you can take that and multiple it by the number of hours he will drive (7) to get 280 miles. I hope this helps! :)

Answer:

112 difference in tempature

Step-by-step explanation:

multiply 4x28

Answer:

x = 9

y = 56

Step-by-step explanation:

(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)

Find the value of x using this equation

[tex] 3x + 7 + 6x + 2 = 90 [/tex]

Collect like terms

[tex] 3x + 6x + 7 + 2 = 90 [/tex]

[tex] 9x + 9 = 90 [/tex]

Subtract 9 from each side

[tex] 9x + 9 - 9 = 90 - 9 [/tex]

[tex] 9x = 81 [/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{81}{9} [/tex]

[tex] x = 9 [/tex]

y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)

Plug in the value of x to find y

y = 6(9) + 2

y = 54 + 2

y = 56

Answer:

Step-by-step explanation:

Answer: Rational number

Step-by-step explanation:

Let's write out the properties of rational and irrational numbers.

Rational

Irrational

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Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.

Steps to solve:

-3x - 9y = 18

~Add 3x to both sides

-9y = 18 + 3x

~Divide -9 to everything

y = -1/3x - 2

Best of Luck!

Answer:

17.2 feet

Step-by-step explanation:

The ladder is placed 9 feet away from the fence, which is 1 foot away from the building. Therefore, the ladder is [tex]9+1=10[/tex] feet away from the building.

We know that the window is 14 feet above ground.

We now have a triangle which we need to find the hypotenuse of.

  /|      

/  |   14  

/_|

10

To find the hypotenuse, we can use the Pythagorean Theorem. This states that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a triangle and c is the hypotenuse.

The legs are 10 and 14, so lets substitute inside the equation.

[tex]10^2 + 14^2 = c^2\\\\100+196=c^2\\\\296=c^2\\\\c = \sqrt{296}\\\\c \approx 17.2[/tex]

Hope this helped!

Answer:

4 blueberries and 6 strawberries

Step-by-step explanation:

Answer:

You haven't attached a picture but this is what your line should look like

Step-by-step explanation:

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Flips

The value of graph of function y = 3x + 2 is shown in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation of line is,

y = 3x + 2

Now, The value of y - intercept of the equation is,

⇒ 2

⇒ (0, 2)

Thus, The value of graph of function y = 3x + 2 is shown in figure.

Learn more about the equation of line visit:

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Answer:

The decimal 0.9988 to a fraction is 9988/10000

Answer:

9988

_____

10,000

Step-by-step explanation:

I got it correct on test :)))

Answer: YES

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is in integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

----------------------------------------------------

-5 3/8

It is a fraction, which fits the second point.

Hope this helps!! :)

Answer:

33

Step-by-step explanation:

I am did my diagnostic too.

The required chance of that a random donor has type A blood is given as 11/25. Option B is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total blood donor = 31 + 33 + 9 + 2 = 75
Donors has type A blood = 33

Now, the chance that a random donor has type A blood,

= Donors has type A blood / Total blood donor

= 33 / 75
= 11 / 25

Thus, the required chance of that a random donor has type A blood is given as 11/25.

Learn more about probability here:

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Answer:

Whatever y is you turn it to what x is plus a negative Ex: T(10, 9) U(0,9) V(0,0) W(10,0) Those are the answers.

Step-by-step explanation:

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