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2 years ago

In which direction will this parabola open? x=53(y+17)^2-41

1 answer:

8 0

$x=53(y+17)^2-41\\
x=53(y^2+34y+289)-41\\
x=53y^2+1802y+15317-41\\
x=53y^2+1802y+15276$

As a>0 so the concavity (open) of the parable is to the right.

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4 coffees and 12 lattes. Costs $61

Gala2k [10]

Answer:

Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = $c$

∴ 4 coffees cost = $4c$ and 12 coffee cost = $12c$

∵ 1 latte cost = $l$

∴ 12 lattes cost = $12l$ and 7 lattes cost = $7l$

Now, as per question:

$4c+12l=61-----1\\12c+7l=59.75----2$

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

$-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25$

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

$4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5$

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

4 0

3 years ago

What is 18% of 65? (I will give brainliest!)

Anettt [7]

Answer:

11.7

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

SOLVE: 6 and 1/12 divided by 4 and2/5

Firdavs [7]

Answer:

1 and 101/264

Step-by-step explanation:

Hope this helps!

-Josh

(brainliest?)

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2 years ago

Wright an inequality for the graph

Lerok [7]

Answer:

Y >= ABS(x-5) + 1

Step-by-step explanation:

Any graph that forms a "V" involves absolute value. So what equation would give the vertex y=1 at x=5, ABS(X-5) + 1.

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2 years ago

Find the area of the shape.

Zanzabum

Hope this helps with the answer to your question:)

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2 years ago