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4 years ago

Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8

1 answer:

4 0

Both equal y so set equal to each other
-x+7=-0.5(x-3)^2+8
times both sides by -2
2x-14=(x-3)^2-16
expand
2x-14=x^2-6x+9-16
add 14-2x to both sides
0=x^2-8x+7
factor
0=(x-7)(x-1)
set to zero
0=x-7
7=x

0=x-1
1=x

so find y

y=-x+7
y=-1+7
y=6
or

y=-7+7
y=0

so the solutions are
(-1,6) and (-7,0)

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3 years ago

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Trava [24]

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2 years ago

if the original recipe calls for 50 portions, 6oz each and the new recipe calls for 100 portions at 5oz each, what is the recipe

kvv77 [185]

By using multiplication and division of integers, it can be calculated that

Conversion factor of the recipe = $\frac{500}{300}$ = 1.6

What is multiplication and division of integers?

At first it is important to know about integers

Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem where multiplication and division of integers is required

The original recipe calls for 50 portions, 6oz each

Required yield of the original recipe = 50 $\times$ 6 = 300 oz

The new recipe calls for 100 portions at 5oz each

Required yield of the new recipe = 100 $\times$ 5 = 500 oz

Conversion factor of the recipe = $\frac{500}{300}$ = 1.6

To learn more about multiplication and division of integers, refer to the link-

brainly.com/question/28337146

#SPJ4

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