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expeople1 [14]
3 years ago
7

Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? Y – 6 = y minus 6 equals St

artFraction 5 Over 2 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2) y – 6 = negative StartFraction 2 Over 5 EndFraction. (x – 2) y + 6 = y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis.(x + 2) y + 6 = y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis.(x + 2)
Mathematics
1 answer:
Tanya [424]3 years ago
8 0

Answer:

Step-by-step explanation:

The standard way of writing equation of a line in a point-slope form is as given;

y - y0 = m(x-x0)

m is the slope of the line

(x0,y0) is a point on the line.

Given the point (-2,-6), in order to determine with of the equation that correctly uses the point, we will substitute the point into the formula and get the necessary equation.

y - y0 = m(x-x0)

y - (-6) = m(x-(-2))

y+6 = m(x+2)

Since we are not given the slope, let's assume the slope is 5/2

The equation becomes y+6 =5/2(x+2). Option D is correct

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The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x²+180x . The cost, in dol
tresset_1 [31]

We use the profit concept, and doing this, it is found that if 150 televisions are sold, the profit is $50,700.

-------------------------------------------

Profit is given by revenue subtracted by cost.

In this question:

  • Revenue: R(x) = 3x^2 + 180x
  • Cost: C(x) = 3x^2 - 160x + 300

Thus, the profit of selling x televisions is:

P(x) = R(x) - C(x)

P(x) = 3x^2 + 180x - (3x^2 - 160x + 300)

P(x) = 3x^2 + 180x - 3x^2 + 160x - 300

P(x) = 340x - 300

-------------------------------------------

For 150 televisions, we have P(150), so:

P(150) = 340(150) - 300 = 50700

If 150 televisions are sold, the profit is $50,700.

A similar question is given at brainly.com/question/14469903

8 0
3 years ago
Devin jumped off a cliff into the ocean in Acapulco while vacationing with his family. His height as a function of time could be
sukhopar [10]

Answer:

<em>3 seconds</em>

Step-by-step explanation:

Given the height modelled by the function

h(t) = -16t² + 16t + 96

The hit the water at h(t) = 0

0 = -16t² + 16t + 96

Divide through b y -16

0 = t² - t - 6

t² - t - 6 = 0

t² - 3t+2t - 6 = 0

t(t-3)+2(t-3) = 0

t+ 2 = 0 and t - 3 = 0

t = -2 secs and t = 3secs

Since t can't be negative, hence;

t = 3 secs

<em>hence it will take 3 seconds until Devon hit the water</em>

7 0
3 years ago
vimesha drove 232 miles in 4 hours. at this rate, how far could she drive in 7 hours? what is her rate of speed in miles per hou
IrinaVladis [17]

Answer:  distance = 406 miles

speed = 58 miles/hr

Step-by-step explanation:

4 hours - 232 miles

1 hr - 232/4

7 hours - 232/ 4 x 7 = 406 miles

Therefore , her distance is 406 miles for 7 hours.

Speed = distance / time

speed = 406/7 = 58 miles/hr

8 0
3 years ago
How to do this problem
Vera_Pavlovna [14]
X(x-1)(x^2+4)=(x^2-x)(x^2+4)=(x^4)+(4x^2)-(x^3)-(4x)=(x^4)-x(x^2+4)+(4x^2)
6 0
3 years ago
College Calculus - hyperbolic functions (see attachment)
morpeh [17]

Answer:

g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))

Step-by-step explanation:

Using the fundamental theorem of calculus

Taking the derivative of the integral gives back the function

Since the lower limit is a constant when we take the derivative it is zero

d/dx \int\limits^x_4 {g(t)} \, dt  = g(x)

g(t) = sinh^-1 ( ln(7t^6 +3) / sqrt( 8+cot( t^( 3+t))))

Replacing t with x

g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))

6 0
3 years ago
Read 2 more answers
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