Answer:
2x^3+12x^2+10x-24
Step-by-step explanation:
(2x^2+6x-8)(x+3)
2x^3+6x^2-8x+6x^2+18x-24
2x^3+6x^2+6x^2-8x+18x-24
2x^3+12x^2+10x-24
Answer:
500 and 700
Step-by-step explanation:
It says '7 hundreds' referring to 700. and it then say the second number has 2 fewer, two fewer hundreds is 200. so the two numbers are 500 and 700.
Answer:
<u><em>2</em></u>
Step-by-step explanation:
There are 6 sides:
3 by 4 = 3*4 = 12, no
3 by 3 = 3*3 = 9, no
5 by 3 = 5*3 = 15, no
Triangles:
Half of 3 by 4 = 1/2 * 3* 4 = 1/2 * 12 = 6, yes
The other triangle is the same, so 2
Analysis:
1) The graph of function f(x) = √x is on the first quadrant, because the domain is x ≥ 0 and the range is y ≥ 0
2) The first transformation, i.e. the reflection of f(x) over the x axis, leaves the function on the fourth quadrant, because the new image is y = - √x.
3) The second transformation, i.e. the reflection of y = - √x over the y-axis, leaves the function on the third quadrant, because the final image is - √(-x). This is, g(x) = - √(-x).
From that you have, for g(x):
* Domain: negative x-axis ( -x ≥ 0 => x ≤ 0)
* Range: negative y-axis ( - √(-x) ≤ 0 or y ≤ 0).
Answers:
Now let's examine the statements:
<span>A)The functions have the same range:FALSE the range changed from y ≥ 0 to y ≤ 0
B)The functions have the same domains. FALSE the doman changed from x ≥ 0 to x ≤ 0
C)The only value that is in the domains of both functions is 0. TRUE: the intersection of x ≥ 0 with x ≤ 0 is 0.
D)There are no values that are in the ranges of both functions. FALSE: 0 is in the ranges of both functions.
E)The domain of g(x) is all values greater than or equal to 0. FALSE: it was proved that the domain of g(x) is all values less than or equal to 0.
F)The range of g(x) is all values less than or equal to 0.
TRUE: it was proved above.</span>
12 times 8 divided by 2. (12*8)/2 Answer is 48.
