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Stels [109]
2 years ago
11

A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?

Mathematics
1 answer:
Triss [41]2 years ago
3 0

Answer:

y = -\frac{7x}{3} - 24

Step-by-step explanation:

We can model this function using the equation of a line:

y = ax + b

Where a is the slope of the line and b is the y-intercept.

To find the values of a and b, we can use the two points given:

(-9, -3):

-3 = a * (-9) + b

-9a + b = -3

(-12, 4):

4 = a * (-12) + b

-12a + b = 4

If we subtract the second equation from the first one, we have:

-12a + b - (-9a + b) = 4 - (-3)

-12a + 9a = 4 + 3

-3a = 7

a = -7/3

Then, finding the value of b, we have:

-12a + b = 4

28 + b = 4

b = -24

So the equation is:

y = -\frac{7x}{3} - 24

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141.218

Step-by-step explanation:

3 0
2 years ago
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Derek bought a new car for $32,000. He made a down payment of $17,000 and financed the balance through the car dealer. He was un
Andreyy89

Answer:

$300

Step-by-step explanation:

Given that:

Derek bought a new car for $32,000;

The original amount of purchase = $32,000

Down payment =  $17,000

Remaining amount = Original amount of purchase - Down payment

= $(32000 -17000)

= $ 15,000

Also;

rate of interest per month is 2%

and the Derek is unable to pay his first monthly payment

thus the interest amount is calculated on principal amount

so for the first month interest is calculated on total principal amount

The month interest payment is then calculated as :

= 15,000 × 2%

= 15,000 × 0.02

= $300

3 0
2 years ago
If f(x) = 3 – 2x and 1/x+5, what is the value of (f/g)(8)? –169 –1 13 104
Basile [38]
I'm assuming that this is the complete question.
If f(x) = 3 – 2x and g(x)=1/(x+5), what is the value of (f/g)(8)? a) –169       b) –1      c) 13     d) 104
x = 8
f(x) = 3 -2xf(8) = 3 - 2(8) = 3 - 16 = -13
g(x) = 1/(x+5)g(8) = 1/(8+5) = 1/13
(f/g)(8)f(8)/g(8) = -13/ (1/13) = -13 * 13 = -169  Choice A :)
8 0
2 years ago
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True or False? A circle could be circumscribed about the quadrilateral below.
SVEN [57.7K]

Answer:

<em>The correct answer is:   False</em>

Step-by-step explanation:

<u>If the sum of the opposite angles in a quadrilateral is 180°</u>, then a circle can be circumscribed about the quadrilateral.

Here,  \angle B+\angle D= 110\°+90\° = 180\°

but,  \angle A+\angle C= 70\°+90\°= 160\°

So, a circle can't be circumscribed about the given quadrilateral.

7 0
2 years ago
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What is the GCF of the terms of the polynomial −16y4 + 12y2 – 4y?
Tresset [83]

Answer:

The GCF is - 4y

Step-by-step explanation:

Given the polynomial expression −16y4 + 12y2 – 4y?

If we carefully traverse all the terms we can factor out 4y from all the terms

=-4y(4y³-3y+1) which is similar to the original expression

Hence the greatest common factor GCF = - 4y

The Greatest Common Factor (GCF) is the largest number that will divided evenly into that number.

5 0
2 years ago
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