Answer:
rectangle = 180
triangle = 350
the triangle has a much larger area.
350-180=170
the triangle by 17
square inches
Answer:
a) It's a quadratic
b) f(x) = A(x-3)(x-7)
c) she is right
Step-by-step explanation:
(0-12)/(3-1) = -6
(-4-0)/(5-3) = -2
Since the slope is not constant, it can't be a linear.
Therefore a quadratic
Since the zeroes are 3 and 7,
Factors are (x - 3) and (x - 7)
f(x) = A(x - 3)(x - 7)
Use any one point besides the x-intercepts to find A
12 = A(1-3)(1-7)
12 = 12A
A = 1
f(x) = (x - 7)(x - 3)
f(x) = x² - 7x - 3x + 21
f(x) = x² - 10x + 21
She is right
Answer:
Step-by-step explanation:
X/200 x10/100 = 20
Answer:
c
Step-by-step explanation:
Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
