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3 years ago

Which equation represents a proportional relationship that has a constant of proportionality equal to -10

Mathematics

2 answers:

stira [4]3 years ago

7 0

Answer:

$y = - 10x$

Step-by-step explanation:

A proportional relationship has equation:

$y = kx$

where k is the constant of proportionality.

Since we are looking for a proportional relationship that has a constant of proportionality equal to -10, we have k=-10.

We substitute k=-10 into the equation to get:

$y = - 10x$

Therefore the correct choice is

$y = - 10x$

cricket20 [7]3 years ago

5 0

Answer:

If Im Jake Paul looking for answers then Its everyday bro

Step-by-step explanation:

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Find the Horizontal Tangent for x^3/3+3x^2-16x+9

bazaltina [42]

Answer:

The two horiz. tang. lines here are y = -3 and y = 192.

Step-by-step explanation:

Remember that the slope of a tangent line to the graph of a function is given by the derivative of that function. Thus, we find f '(x):

f '(x) = x^2 + 6x - 16. This is the formula for the slope. We set this = to 0 and determine for which x values the tangent line is horizontal:

f '(x) = x^2 + 6x - 16 = 0. Use the quadratic formula to determine the roots here: a = 1; b = 6 and c = -16: the discriminant is b^2-4ac, or 36-4(1)(-16), which has the value 100; thus, the roots are:

-6 plus or minus √100

x = ----------------------------------- = 2 and -8.

Evaluating y = x^3/3+3x^2-16x+9 at x = 2 results in y = -3. So one point of tangency is (2, -3). Remembering that the tangent lines in this problem are horizontal, we need only the y-coefficient of (2, -3) to represent this first tangent line: it is y = -3.

Similarly, find the y-coeff. of the other tangent line, which is tangent to the curve at x = -8. The value of x^3/3+3x^2-16x+9 at x = -8 is 192, and so the equation of the 2nd tangent line is y=192 (the slope is zero).

3 0

3 years ago

Please help it’s the last question I have left until I can turn this in please answer ASAP if possible

telo118 [61]

Answer:

i cant see

Step-by-step explanation:

5 0

3 years ago

I need help, please! Thanks!

dalvyx [7]

The first I think is 4 units square and the second is 21 units square

8 0

3 years ago

5-2(2x - 3) = 12<br><br> Cual es el resultado de x?

postnew [5]

Answer:

Step-by-step explanation:

5-2(2x - 3) = 12

<u>Expanda los términos en el corchete</u>

Eso es

5 - 4x + 6 = 12

<u>Agrupar términos similares</u>

Envíe las constantes al lado derecho de la ecuación y aquellas con variables al lado izquierdo

Tenemos

- 4x = 12 - 5 - 6

- 4x = 1

Divide ambos lados entre - 4

Tenemos la respuesta final como

Espero que esto te ayude

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3 years ago

Sara charges $10 an hour to babysit one child. Each additional child is an extra $2. How much will Sara charge to babysit three

Masja [62]

Answer:

Step-by-step explanation:

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