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KatRina [158]
2 years ago
9

A local restaurant owner can purchase tea for $16 per pound and coffee for $8 per pound. His budget does not allow him to spend

more than $280 on coffee and tea. Which graph shows the possible combinations of pounds of tea, x, and pounds of coffee, y, that the restaurant owner can purchase?
Mathematics
1 answer:
sergiy2304 [10]2 years ago
5 0

Answer:

answer is 152

Step-by-step explanation:

i mutiplied $16 and $8 and got 128 the subtracted 128 and 280 and final answer is 152

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15.50+1.50x =26
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Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.
Kay [80]

Answer:

y = - 1/4 + 4

Step-by-step explanation:

y = 4x - 7

Slope = 4

Slope of the perpendicular line = -1/4

Point (8,2)

(b) y-intercept: 2 - (-1/4)(8)

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4 0
3 years ago
Hello, I am currently very stuck with this problem and I am unsure as to how I would solve it.
borishaifa [10]

We have the equation

20y=x^2-10-15

Let's complete the square, to do it let's add and subtract 25 on the right side

\begin{gathered} 20y=x^2-10-15+25-25 \\  \\ 20y=(x-5)^2-15-25_{} \\  \\ 20y=(x-5)^2-40 \\  \\  \end{gathered}

Now we can have y in function of x

\begin{gathered} y=\frac{1}{20}(x-5)^2-2 \\  \\  \end{gathered}

Now we can already identify the vertex because it's in the vertex form:

y=a(x-h)+k

Where the vertex is

(h,k)

As we can see, h = 5 and k = -2, then the vertex is

(5,-2)

Now we can continue and find the focus, the focus is

\mleft(h,k+\frac{1}{4a}\mright)

We have a = 1/20, therefore

\begin{gathered} \mleft(5,-2+5\mright) \\  \\ (5,3) \end{gathered}

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(5,3)

And the last one, the directrix, it's

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Then

\begin{gathered} y=-2-5 \\  \\ y=-7 \end{gathered}

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

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1 year ago
On a map of the United States, the distance between New York City and Nashville, TN is 2.5 inches. In real life, the distance is
Natalka [10]

Answer: Rounded: 350 miles/inch

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880/2.5 = 352.

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One inch represents 350 miles

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2 years ago
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