Answer:
x = - 4, 0, 3, 4
Step-by-step explanation:
Given
f(x) = - 5x(x² - 16)(x - 3) ← x² - 16 is a difference of squares, thus
f(x) = - 5x(x - 4)(x + 4)(x - 3)
To find the zeros, equate f(x) to zero, that is
- 5x(x - 4)(x + 4)(x - 3) = 0
Equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
Thus the zeros are
x = - 4, x = 0, x = 3, x = 4
The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.
<h3>What is the dimension of length and width?</h3>
We know that,
P = l + 2w
50 = l + 2w
50 - 2w = l
A = l x w
288 = (50 - 2w)w
288 = 50w -2w²
2w² - 50w + 288
By dividing throughout by 2
w² - 25w + 144
This is in quadratic equation form.
By applying quadratic formula,
w = (-(-25) ±
) / 2
w = (-(-25) ± 7)/2
w1 = (-(-25) + 7)/2
w1 = (25 + 7) / 2
w1 = 16
w2 = (-(-25) - 7)/2
w2 = (25 - 7) / 2
w2 = 9
By substituting the values in eq1,
A = l x w
if w = 16
288 = l x 16
l = 288/16
l = 18
if w = 9
288 = l x 9
l = 288/9
l = 32
The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.
To learn more about area of rectangle refer to :
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Step 3, since it is Graphed.
18*1=18, 18*2=36, 18*3=54, and it said 2/3, right? 36 is 2/3 of 54.
Answer:
2 x = y + 7
y = 2 x - 7
Step-by-step explanation:
because you can rewrite it as:
2 x - y - 7 = 0
then you can find the 2 X answer and fill that in to find y