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Minchanka [31]
3 years ago
8

Evaluate each expression for the given variable

Mathematics
1 answer:
ANEK [815]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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In the relationship shown by the data linear ? If so , model the data with an equation A. The relationship is not linear B. The
dybincka [34]

Let's take two points so that we can get the equation of the line which goes through those points. P1 (-9, -2), P2 (3, -17):

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-17-(-2)}{3-(-9)}=\frac{-17+2}{3+9}=-\frac{15}{12}=-\frac{5}{4}\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=-\frac{5}{4}\cdot(x-(-9)) \\ y+2=-\frac{5}{4}\cdot(x+9)_{} \\ y=-\frac{5}{4}x-\frac{45}{9}-2 \\ y=-\frac{5}{4}x-7 \\ f(x)=-\frac{5}{4}x-7 \end{gathered}

So, y is the line which goes through the first and last points of the chart.

To proof that the rest of points go through the line as well, we will evalute each point

\begin{gathered} f(-5)=-\frac{5}{4}\cdot(-5)-7=\frac{25}{4}-7=-\frac{3}{4}\ne-7 \\ f(-1)=-\frac{5}{4}(-1)-7=\frac{5}{4}-7=-\frac{23}{4}\ne-12 \end{gathered}

Since the evaluation of these points don't correspond to the values of the chart we can assure that the relationship is not linear

7 0
2 years ago
What is the equation of a line that passes through the points (3,3) and (-3,7)
just olya [345]

Answer:

slope intercept form is y=-2/3x+5

6 0
3 years ago
What type of number is v3
LenKa [72]
A rational number is a number, which can be expressed as a fraction. Since 3 can be expressed as 3=31=62=124 and so on, it is a rational number
8 0
3 years ago
What is the common ratio of the sequence 80, 20, 5, 5/4 . . . .? What are the next three terms of the sequence?
I am Lyosha [343]
To find the common ratio in a geometric sequence, u divide the second term by  the first term. 20/80 = 1/4 <== common ratio

Terms are found in a geometric sequence by multiplying each number by the common ratio to get to the next number.

start with 80
80 * 1/4 = 80/4 = 20
20 * 1/4 = 20/4 = 5
5 * 1/4 = 5/4
5/4 * 1/4 = 5/16 <===
5/16 * 1/4 = 5/64 <===
5/64 * 1/4 = 5/256 <===
7 0
3 years ago
Read 2 more answers
Jennifer was awarded damages of $150,000 in a successful lawsuit she brought against her employer 4 years ago. Simple interest o
Inessa05 [86]
The annual interest is $150,000 x 0.15 = $22,500. The accrued interest after 4 years is $90,000. Therefore in the final judgement Jennifer would be awarded:
150,000 + 90,000=240,000.
The answer is $240,000.
4 0
3 years ago
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