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Delicious77 [7]
3 years ago
14

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

Mathematics
2 answers:
MakcuM [25]3 years ago
7 0

the answer is C.f(x) = 3(x − 8)(x + 2)

Leto [7]3 years ago
3 0

Answer:

f(x) = 3(x − 8)(x + 2)

Step-by-step explanation:

The roots are at x = 8 and x = -2.  This means factored form would include

y = (x-8)(x+2), with some number a as the leading coefficient.

Multiplying through, we have

y = x²+2x-8x-16

y = x²-6x-16

To have a y-intercept at -48, this means we multiply the function by 3; this gives us

y = 3(x-8)(x+2)

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What is AE ?<br><br> Enter your answer in the box.<br><br><br> units:
Diano4ka-milaya [45]
(2x+6)/10 = (x+6)/8
10(x+6) = 8(2x+6)
10x + 60 = 16x  + 48
6x = 12
x = 2

so
AE = 2(2) +6
AE = 4 + 6
AE = 10


8 0
3 years ago
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5 0
3 years ago
Which expressions are equivalent to 5p+3p+(-9)5p+3p+(−9)5, p, plus, 3, p, plus, (, minus, 9, )? Choose all answers that apply:
Lemur [1.5K]

Answer:

Option B.

Step-by-step explanation:

The given expression is

5p+3p+(-9)

We need to find an expression which is equivalent to the given expression.

Combine like terms.

(5p+3p)-9

8p-9

The simplified form of given expression is 8p-9. So, option A is incorrect.

In option B, the given expression

3(p+(-3))+5p

3(p-3)+5p

Using distributive property, we get

3p-9+5p

Combined liker terms.

(5p+3p)-9

8p-9

It is same as the simplified form of given expression.

Therefore, the expression 3(p+(-3))+5p is equivalent to the given expression and correct option is B.

7 0
3 years ago
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A rectangular yoga mat has a perimeter of 179 inches. The width of the mat is eight less than half the length. Find the width, i
lianna [129]

Answer:

The width is 24.5in

Step-by-step explanation:

The perimeter of the rectangular yoga mat can be found using the formula;

P=2l+2w.

\Rightarrow 179=2l+2w...(1).

It was given that the width of the mat is eight less than half the length.

w=\frac{1}{2}l-8...(2)

We put equation (2) into equation (1) to get;

179=2l+2(\frac{1}{2}l-8).

\Rightarrow 179=2l+l-16.

\Rightarrow 179+16=2l+l.

\Rightarrow 3l=195

Divide both sides by 3;

l=65

We put l=65 into equation 2 to get;

w=\frac{1}{2}\times65-8

w=32.5-8

w=24.5in

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3 years ago
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3 0
3 years ago
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