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Lapatulllka [165]
3 years ago
10

Explain how you can tell whether a parabola opens upward, downward, to the left, or to the right

Mathematics
2 answers:
netineya [11]3 years ago
8 0

Answer:

Step-by-step explanation:

If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.

s344n2d4d5 [400]3 years ago
4 0

Answer:

Step-by-step explanation:

<u>For a standard function:</u>

If the coefficient of the x² term is positive, the parabola opens upward.

If the coefficient of the x² term is negative, the parabola opens downward.

<u>For an inverse function:</u>

If the coefficient of the y² term is positive, the parabola opens right

If the coefficient of the y² term is negative, the parabola opens left

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Ethan went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and e
Anna35 [415]

9 bottles of soda and 10 juice bottles are purchased

<em><u>Solution:</u></em>

Given that,

Sugar contained by each soda bottle = 45 grams

Sugar contained by each juice bottle = 35 grams

Let,

x be the number of soda bottles

y be the number of juice bottles

Given that,

<em><u>Ethan purchased a total of 19 bottles of juice</u></em>

Therefore, we get,

x + y = 19 ---------- eqn 1

<em><u>Ethan purchased a total of 19 bottles of juice and soda which collectively contain 755 grams of sugar</u></em>

<em><u>Therefore, we frame a equation as:</u></em>

45 \times x + 35 \times y = 755

45x + 35y = 755 --------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>From eqn 1,</u></em>

x = 19 - y --------- eqn 3

Substitute eqn 3 in eqn 2

45(19 - y) + 35y = 755

855 - 45y + 35y = 755

10y = 100

y = 10

<em><u>Substitute y = 10 in eqn 3</u></em>

x = 19 - 10

x = 9

Thus 9 bottles of soda and 10 juice bottles are purchased

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Answer: the answer is C which is .0287

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Step-by-step explanation:

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