Answer:
we conclude that:
Step-by-step explanation:
Given
f(x) = x+9
g(x) = x² + 7x – 14
To determine
g(f(-5)) = ?
First, we need to find f(-5)
f(x) = x+9
substitute x = -5
f(-5) = (-5)+9
f(-5) = -5+9
f(-5) = 4
so
g(f(-5)) = g(4)
Now, we need to find g(4)
g(x) = x² + 7x – 14
substitute x = 4
g(4) = (4)² + 7(4) - 14
g(4) = 16 + 28 - 14
g(4) = 30
i.e.
g(f(-5)) = g(4) = 30
Therefore, we conclude that:
Answer:
y=5x+13
Step-by-step explanation:
when x=-3, y=-2, and when x=-2, y=3. we know that every time x increases by 1, y also increases by 5. This means that the slope is 5. to find the y-intercept, we need x to be 0. to find that, increase x by 2. if x increases by 2, then y would also increase by 10. add 10 to 3 and add 2 to -2 to get x=0 and y=13. the coordinates would be (0,13). the y-intercept is 13. now that we have enough information, we can conclude that y=5x+13. To check your answer, plug in the values for x.
Step-by-step explanation:
taking that blank as x
5/2 -x = 1/3
the x will go to the right hand side of the equation which then would make it positive ( making x the subject) and 1/3 will come to the left hand side of the equation becoming -1/3
so the equation will become 5/2-1/3=x
solving the fraction then gives 13/6 or 2.17 as the value of x
Answer:
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Step-by-step explanation:
