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2 years ago

Construct a linear equation for the linear data presented in the table

Mathematics

2 answers:

alina1380 [7]2 years ago

8 0

(-2,14)
(0,0)

Slope

m=y/x
m=14/-2
m=-7

Equation of line

y=mx+0
y=-7x

yaroslaw [1]2 years ago

5 0

Answer:

y = -7x

Explanation:

Take two points from table: (-4, 28), (-3, 21)

Find slope:

$\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

$\rightarrow \sf slope\ (m): \dfrac{21-28}{-3-(-4)} = -7$

Now find equation:

$\sf y - y_1 = m (x - x_1)$

$\rightarrow \sf y - 21 = -7(x - (-3))$

$\rightarrow \sf y = -7(x +3) + 21$

$\rightarrow \sf y = -7x -21 + 21$

$\rightarrow \sf y = -7x$

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A local University accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as a p

Mademuasel [1]

2300 out of 4500 were chosen

2300 / 4500 = 0.5111

0.51 = 51%

51% is the acceptance rate.

4 0

3 years ago

Read 2 more answers

Find the area. The figure is not drawn to scale

poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

$(hypotenuse)^2=(base)^2+(perpendicular)^2$

$(AB)^2=(BC)^2+(AC)^2$

$(10)^2=(8)^2+(AC)^2$

$100=64+(AC)^2$

$100-64=(AC)^2$

$36=(AC)^2$

take square root

$6=AC$

Then area of triangle ABC $=\frac{1}{2}\left(base\right)\left(altitude\right)$

$=\frac{1}{2}\left(8\right)\left(6\right)=24$

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

7 0

3 years ago

Professor Hartwick finds that people who tend to score low on one variable tend to score low on another variable. Professor Hart

garri49 [273]

Answer:

Option C) a positive correlation.

Step-by-step explanation:

We are given the following in the question:

" People who tend to score low on one variable tend to score low on another variable."

Correlation:

Correlation is a technique that help us to find or define a linear relationship between two variables.
It is a measure of linear relationship between two quantities.
A positive correlation means that an increase in one quantity leads to an increase in another quantity or decrease in one quantity leads to decrease in another quantity.
A negative correlation means with increase in one quantity the other quantity decreases.
+1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.

Since, for the given case with decrease in one variable other also decreases, thus, it is an example of positive correlation. Thus, the correlation coefficient cannot be less than or equal to zero.

Thus, the correct answer is

Option C) a positive correlation.

8 0

3 years ago

HELP ME PLEASE!!! FAST!!

Kamila [148]

Answer:

B 55

Step-by-step explanation:

not positive but if your in a crunch this is what seems right to me, i would wait for others answers tho

5 0

3 years ago

3x -4y= -20 -x +2y =10 whats the value of y

Anni [7]

3x-4y=10
-20-x+2y=10 then -30+2y=x now plug this in the other equation:
3(-30+2y)-4y=10
-90+6y-4y=10
2y=100
y=50

4 0

2 years ago