Write the linear equation given slope and point.
(-4,-7); slope = 3

Step-by-step explanation:

Use the "point-slope" formula for the equation of a straight line,

y - k = m(x - h)

Here the slope, m, is 3 and the line passes through (h, k):  (-4, -7), so the proper equation in this case is

y - (-7) = 3(x + 4), or:

y + 7 = 3(x + 4).

If you wish you may rewrite this equation in slope-intercept form, as follows:

y = 3x - 7 + 12, or y = 3x + 5

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204