Answer:
8
Step-by-step explanation:
As in -4x · 1?
The answer should just be -4x, since anything times 1 is itself (identity property).
correct me if I misinterpreted the problem.
<h3>
Answer: g(x) = (-2/3)*x^2</h3>
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Work Shown:
f(x) = x^2
g(x) = a*f(x) for some constant 'a' since g(x) is a scaled version of f(x).
The value of 'a' vertically stretches f(x) upward if a > 0
If 'a' is negative, then we have a reflection going on as shown in the diagram.
We want (x,y) = (3,-6) to be on the graph of g(x). This means g(3) = -6
If we plugged x = 3 into f(x), we get
f(x) = x^2
f(3) = 3^2
f(3) = 9
So,
g(x) = a*f(x)
g(3) = a*f(3) ... replace x with 3
g(3) = a*9 ... replace f(3) with 9 since f(3) = 9
-6 = a*9 ... replace g(3) with -6 since g(-3) = -6
9a = -6
a = -6/9
a = -2/3
Therefore, this means
g(x) = a*f(x)
g(x) = (-2/3)*f(x)
g(x) = (-2/3)*x^2
Answer:
30 hours
Step-by-step explanation:
Let the number of hours Carla worked be denoted with "x"
Firstly,
15 MORE THAN twice the hours, would be written as:
2x + 15
This is equal to ----
3 times hours Decreased by 15, would be written as:
3x - 15
Now we equate both and find x:
2x + 15 = 3x - 15
15 + 15 = 3x - 2x
30 = x
So, x = 30
Which means, the number of hours she worked each week is 30 hours
Answer:
Option (4)
Step-by-step explanation:
Jordan spent 5 hours studying for 3 test with equal amount of time studying for each test.
On the number line, there are 3 small segments between each number.
Every small segment will represent time = 
hours
Total number of small segments = 15
If Jordan takes 3 equal durations for the study of each test,
Total number of small segments for each test = 
Now we can plot these points on the number line.
Further count the segments for the answer ( 1 hour plus 2 small segments)
= 1 + 
= 
Therefore, time given for studying each test = hours
Option (4) will be the answer.
