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3 years ago

Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form.

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

The equation of the line is
y = 5x-11

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Deon earns $91 washing 7 dogs. At this rate, how many dogs did Deon wash to earn $117?

mamaluj [8]

$91/ 7 = $13 per dog
$117/$13 = 9 dogs
He washed 9 dogs

4 0

2 years ago

Question 12 Multiple Choice Worth 1 points)(07.05 MC)1086Which of the following functions best represents the graph?fix)=(x-2)(x

vlada-n [284]

The graph of a function is given. It is required to find the function that represents the graph.

Notice from the graph that the function has roots or zeros at -3,-2, and 2.

Hence, the function takes the form:

$\begin{gathered} f(x)=a(x-(-3))(x-(-2))(x-2) \\ \Rightarrow f(x)=a(x+3)(x+2)(x-2) \end{gathered}$

Where a is a constant to be determined.

Notice that the given graph passes through the point (0,-12).

Substitute x=0 and f(x)=-12 into the equation of the function to find a:

$\begin{gathered} -12=a(0+3)(0+2)(0-2) \\ \Rightarrow-12=a(3)(2)(-2) \\ \Rightarrow-12=-12a \\ \text{ Swap the sides of the equation:} \\ \Rightarrow-12a=-12 \\ \text{ Divide both sides by }-12: \\ \Rightarrow\frac{-12a}{-12}=\frac{-12}{-12} \\ \Rightarrow a=1 \end{gathered}$

Hence, the function is:

$\begin{gathered} f(x)=1(x+3)(x+2)(x-2) \\ \Rightarrow f(x)=(x+2)(x+3)(x-2) \end{gathered}$ <h2>The third option is the answer: f(x)=(x+2)(x+3)(x-2).</h2>

5 0

1 year ago

a 5 digit number had the digits 0,5,7,9, and 0. to the nearest thousand, it rounds to 80000 what is the number? explain.

Murljashka [212]

The Number is 79500, since the nearest thousand for 79500 is 80000

7 0

2 years ago

FOCUS ON HIGHER ORDER THINKING Work Area Katie said, "Negative numbers are integers." What was Explain the Error her error?

Sav [38]

Step-by-step explanation:

Consider the provided information.

Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2,...

Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.The decimal expansion of rational numbers may terminate or become periodic.

Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.

Now consider the provided statement "Negative numbers are integers."

The statement is incorrect as all negative numbers are not integers they might be rational number or irrational numbers.

For example: -2.5 is a negative number but it is not an integer. The number is a rational number.

Hence, her statement is incorrect.

She can say that all negative whole numbers are integers.

6 0

2 years ago

Find the value of s. Write your answer as a decimal number.<br><br> 6<br> s<br> 7<br><br> s =

Liono4ka [1.6K]

The value of s would be 6 or 7

8 0

2 years ago