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3 years ago

12

A school has 4 gallons of apple juice to serve at an event.If each serving is 4 ounces.how many servings are in the 4 gallons of

apole juice

1 answer:

pshichka [43]3 years ago

8 0

Answer:128 servings

Step-by-step explanation:

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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo

amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

$(f \circ g)(x) = f(g(x))$

In this case:

$f(x) = 4x^2 - 8x - 20$

$g(x) = 2x + a$

So

$(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20$

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when $x = 0, f(g(x)) = 25$ . So

$4a^2 - 8a - 20 = 25$

$4a^2 - 8a - 45 = 0$

Solving a quadratic equation, by Bhaskara:

$\Delta = (-8)^2 - 4(4)(-45) = 784$

$x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5$

$x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5$

The possible values are a = -2.5 or a = 4.5.

5 0

2 years ago

PLS HELP ME I WILL MARK YOU AS BRAINLIEST!!!

Scilla [17]

Answer:

volume = length x width x height

v=11x5x11 = 605

hope that answers your question

8 0

2 years ago

What rules change the input numbers to output numbers

klio [65]

The answer to that is 2x - 10

6 0

2 years ago

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Whats 9 plus 10 and how to add 1 plus the number 2

Bond [772]

Answer:

9 + 10 = 19

1 + 2 = 3

Step-by-step explanation:

To add 2 to 1, look at a number line and start at the point 1 and go two numbers to the right to end at 3.

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2 years ago

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at the beginning of school, we had 40 algebra books. We increased our supply by 65%. how many algebra books does the school have

valentina_108 [34]

The answer is 95 i guess

6 0

3 years ago