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Blababa [14]
3 years ago
7

Sylvia earns $7 per hour at her afterschool job. After working one week, she received a paycheck for $91. Write and solve an equ

ation to find the number of hours Sylvia worked to earn $91.
Sylvia earns $7 per hour at her afterschool job. After working one week, she received a paycheck for $91. Write and solve an equation to find the number of hours Sylvia worked to earn $91.
Mathematics
1 answer:
Kipish [7]3 years ago
5 0

91 divided by 7=?

?=13

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Divide 17/28 by 2/3 input your answer as a reduced fraction help ASAP
Anit [1.1K]

Answer:

51/56

Step-by-step explanation:

When dividing two fractions, you can get the same result by multiplying the first fraction by the reciprocal of the second fraction.

So,

17/28 ➗ 2/3 can be rewritten as:

17/28 ❌ 3/2

Then, simply multiply the numerators and the denominators together.

17*3=51

28*2=56

So, the answer is 51/56.

This fraction is already in its simplest form, so it cannot be reduced.

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3 years ago
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PLEASE HELP
yawa3891 [41]

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4 years ago
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tangare [24]

Answer:

(x-3)^2=8(y+1)

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0

\textsf{Vertex}=(h, k)

\textsf{Focus}=(h,k+p)

\textsf{Directrix}:y=(k-p)

\textsf{Axis of symmetry}:h=k

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

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Therefore:

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Use the Directrix equation to find p

⇒ y = (k - p)

⇒ -3 = -1 - p

⇒ p = 2

Therefore the equation of the conic section is:

\implies (x-3)^2=4\cdot 2(y-(-1))

\implies (x-3)^2=8(y+1)

Rearranging in standard form ax^2+bx+c:

\implies (x-3)^2=8y+8

\implies x^2-6x+9-8=8y

\implies x^2-6x+1=8y

\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}

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2 years ago
Find the derivative of the function. f(x) = (8x − 5)−1 f '(x)
Volgvan

Answer:

x=4

Step-by-step explanation:

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