Answer:
A. 10%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
The new number is the increased wage, $8.25, and the old number is the original wage, $7.50.
percent change = ($8.25 - $7.50)/($7.50) * 100%
percent change = ($0.75)/($7.50) * 100%
percent change = 0.1 * 100%
percent change = 10%
Since the percent change is a positive number, it is a percent increase.
The percent increase was 10%.
Answer: A. 10%
Answer:
x=3
Step-by-step explanation:
all work is shown and pictured
Suppose that equation of parabola is
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5
Solving it we get that
a = −2, b = −4, c = 1
Thus, equation of parabola is
y = −2x²− 4x + 1
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Rewriting in the form of
(x - h)² = 4p(y - k)
i) -2x² - 4x + 1 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 445/36
vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-⅛)(y - 445/36)
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I hope this is what you wanted.
Regards,
Divyanka♪
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Answer: Option D is correct. The function equation y= -16x^2 + 9x + 4
is non-linear.
Step-by-step explanation:
It is not linear because it is a quadratic function.
You can see this on the graph in the photo below:
, Hope this helps :)
Have a great day!!
