Answer: d
Step-by-step explanation: because every x has 1 y
Answer:
--16 1/14, -225/14 or -16.07
Step-by-step explanation:
3/4(2x+5)=5(x+12)
3x/2+15/4=5x+60
-225/14
Answer: x < 4
Step-by-step explanation: When solving the inequality 3x - 3 < 9, just like an equation our first step is to isolate the <em>x</em> term which is 3x by adding 3 to both sides of the inequality.
On the left, -3 + 3 cancels and we have 3x.
Make sure to bring down the < sign.
On the right, 9 + 3 simplifies to 12.
So we have 3x < 12.
Now, divide both sides of the inequality by 3 to isolate <em>x</em>.
When we do that we get <em>x < 4</em>
So our answer is x < 4.
Answer:
$23
Step-by-step
Johns debt is 70.00 dollars in 3 months. 70 divided by 3 is 23.
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>
