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katen-ka-za [31]
3 years ago
12

Find two numbers whose sum is 8 and whose product is 17​

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

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Rewrite f(x) = -(x + 3)2 - 1 from vertex form to standard form. (2 points)
Mandarinka [93]

Answer:

f(x) = -x^2 - 6x - 10

Step-by-step explanation:

Please write the original equation as  f(x) = -(x + 3)2 - 1, as "(x + 3)2 is meaningless.  We want:

f(x) = -(x + 3)^2 - 1, where " ^ " denotes exponentiation.

Expanding this, we get:

f(x) = -(x^2 + 6x + 9) - 1, or

f(x) = -x^2 - 6x - 9 - 1, or:

f(x) = -x^2 - 6x - 10          This matches the first answer choice.

6 0
4 years ago
Marcos is in charge of counting cans for the food drive. He organizes the cans in 6-by-8 arrays, and he has 10 of these arrays.
V125BC [204]

Answer:

The final answer is NO, i.e. He does not have at least 500 cans.

Step-by-step explanation:

He organizes the cans in 6-by-8 arrays.

The number of elements in the array can be found by finding the multiplication of its Rows numbers with its Columns numbers.

Given the array is of order 6-by-8. So the elements in the array = 6x8 = 48 elements.

And he has 10 of these arrays. So total cans = 48 x 10 = 480 cans.

Hence, the final answer is NO, i.e. He does not have at least 500 cans.

6 0
3 years ago
Which equation shows the best estimate for 4,310 ÷ 72 using compatible numbers?
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Answer:

it is c

Step-by-step explanation:

it is c because the answer of 4310÷72 is 51

6 0
3 years ago
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Step-by-step explanation:

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