Answer:
Step-by-step explanation:
a+pR^2-2pr^2, since R=15 and r=7.5
A=225p-112.5p
A=112.5p
a= 353.25ft^2
The answer would be 6 × b < $118, since the price, b, of six dolls is less than (<) $118.
Answer:
y = -2x + 5
Step-by-step explanation:
slope-intercept form: y = mx + b
Hope this helps:)
Answer:
A) x = 3 or -1
B) x = -7
C)x = -7
Step-by-step explanation:
A) x² + 2x + 1 = 2x² - 2
Rearranging, we have;
2x² - x² - 2x - 2 - 1 = 0
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
B) ((x + 2)/3) - 2/15 = (x - 2)/5
Multiply through by 15 to get;
5(x + 2) - 2 = 3(x - 2)
5x + 10 - 2 = 3x - 6
5x - 3x = -6 - 10 + 2
2x = -14
x = -14/2
x = -7
C) log(2x + 3) = 2log x
From log derivations, 2 log x is same as log x²
Thus;
log(2x + 3) = logx²
Log will cancel out to give;
2x + 3 = x²
x² - 2x - 3 = 0
Using quadratic formula, we have;
x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)
x = (2 ± √16)/2
x = (2 + 4)/2 or (2 - 4)/2
x = 6/2 or -2/2
x = 3 or -1
Answer:
175
Step-by-step explanation:
(g*h)(x) is the product of two functions: g(x) = 25 and h(x) = 4 - x.
This product is equal to 100 - 25x.
Substituting -3 for x, we get
(g•h)(-3) = 100 - 25(-3) = 175
