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castortr0y [4]
3 years ago
7

In what direction does the function f(x)=−(14x−1)(4x+1) open? Explain.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer: Direction opens downward

Step-by-step explanation:

X-Intercept: (1/14,0),(-1/4,0)

Y-Intercept: (0,1)

Find the vertex using x= -b/2a

Plug it into the vertex form = y=a(x-h)^2 +k

H,K will identify the direction.

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3 years ago
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The two expressions below are equivalent. Find the values of a and b that make them equivalent.
inn [45]

Answer:

a=3\text{ and } b=-17

Step-by-step explanation:

We are given that:

5x^2+bx-12=(5x+a)(x-4)

First, we can distribute the right-hand side:

5x(x-4)+a(x-4)

Distribute:

=5x^2-20x+ax-4a

Rewrite:

=5x^2+(-20+a)x-(4a)

Since it is equivalent to the above expression, the coefficients of the variables must match. This means that:

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Solving for a in the second equation gives:

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Therefore:

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3 years ago
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IceJOKER [234]
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3 0
4 years ago
If a household appliance has a wattage of 7,043 and is in use for 9 hours, how much CO2 was produced? Round to 1 decimal.
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Answer: = 62.8 pounds of CO₂

Step-by-step explanation:

1 kilowatt per hour produces 0.99 pounds of C02.

The total wattage in hours used was;

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In kilowatts;

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Step-by-step explanation:

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