I guess this will be good example of how to do it
Answer:
Step-by-step explanation:
Divide both sides by 5:
Cancel logarithms by taking exp of both sides:
Solve for x subtracting 4 from both sides:
Answer:
y = 2x² - 5x + 7
Step-by-step explanation:
General form of a quadratic is:
y = Ax² + Bx + C
Using the given points, construct equations and solve for A,B and C.
When x = 0, y = 7
7 = A(0)² + B(0) + C
C = 7
y = Ax² + Bx + 7
When x = -1, y = 14
14 = A(-1)² + B(-1) + 7
A - B = 7
A = 7 + B
When x = 1, y = 4
4 = A(1)² + B(1) + 7
A + B = -3
(7 + B) + B = -3
2B = -10
B = -5
A = 7 + (-5)
A = 2
y = 2x² - 5x + 7
Answer:
A. 36
Step-by-step explanation:
Because the two angles at the bottom of both the triangles are congruent, the two triangles are similar. Therefore, the corresponding side lengths of the triangles must be proportional to each other
if the area of a triangle is hb/2,
(with h=length of height, b=length of base)
the height of the first triangle is:
25 = 10h/2
50 = 10h
h=5
you can write ratios representing the proportions of the two triangles:
5/x = 10/12 (with x=height of second triangle)
x=6
then find the area of the second triangle with the height (6) and base (12)
(6*12)/2 = 36
The constant of proportionality is k = y/x.....k = 40/200 = 1/5
y = mx + b
slope(m) = 1/5
(200,40)...x = 200 and y = 40
now we sub...we r looking for b, the y int
40 = 1/5(200) + b
40 = 40 + b
40 - 40 = b
0 = b
so ur equation is : y = 1/5x
if pop star earned 800
800 = 1/5x
800 * 5 = x
4000 = x
