Is the following a relation a function? X Y
1 -2

1 -3

2 1

3 -2


Yes or no

Answers

Answer 1
Answer: no because 1 has more than one output

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Cory remembers that his ATV had 4 gallons of gasoline in the tank on Monday. After driving a total of 40 miles duringthe week, he has 2 gallons of gas remaining. Find the slope of the graph representing this situation.

Answers

Answer:

-1/20

Step-by-step explanation:

For a graph like this you should make the gallons of gas on y-axis and the miles driven on the x-axis.

To find slope the formula is (y2-y1)/(x2-x1)

So in this case it is 2-4/40-0

-2/40

This reduces to -1/20

Write to decimals whose quotient is close to 2.3

Answers

4.6/2=2.3 so for two decimals 4.6/2.1 is almost 2.3

10.44 is 14.4% of what number?

Answers

10.44 / 0.144 = 72.5 :)

In the diagram below, the top of each stair is parallel to the floor. What is the value of y?(Picture below.)

Answers

25°
as the stair is // to floor
we can use alternate angle

What is the simplified form of the expression? (b/7)^2

Answers

Answer:

The simplified form is \cfrac{b^2}{49}.

Step-by-step explanation:

The goal of the exercise is to apply exponent properties. On this case we need to distribute the exponent to each expression of the fraction, that is to the numerator and to the denominator, using the distribution exponent property.

\[\left( \cfrac{a}{b}\right)^n= \cfrac{a^n}{b^n}\]

In a general way we can always distribute exponents over multiplication or division.

Simplifying using exponent distribution property.

Applying the property to the exercise give us

\left(\cfrac{b}{7}\right)^2 =\cfrac{b^2}{7^2}

Lastly we know that 7^2 =49 so we get

\left(\cfrac{b}{7}\right)^2 =\cfrac{b^2}{49}

And that is the simplified form of the given expression.

(b/7)^2=(b/7)(b/7)=(b^2)/(49)

Sonny substituded 5 for x in the proportion 16/x =48/15 and cross to multiply to get 240 =240 why is this?

Answers

If x = 5 then 5*48 = 240 and 16*15 equals 240 equals eachother.

Another perspective:   Divide 16 by 5  then divide 48/15

        16/5=3.2         48/15=3.2      Hence the porportions are the same.