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Alekssandra [29.7K]
2 years ago
6

Write a quadratic function in standard form that passes through (-8, 0), (-2, 0), and (-6,8).

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0

Answer:

-10xsquared-x+38

Step-by-step explanation:

so,

general eqn of quadratic equation is,

axsquared+bx+c=y

where,

x and y are exchanged by coordinates given in qn

1,64a-8b+c=0

2,4a-2b+c=0

or c=2b-4a

60a-6b=0

3,36a-6b+c=8

32a-4b=8

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The coffee merchant plans to mix some fancy $6.50 per pound ground coffee called royal soil with 10 pounds of a lowly $2 per pou
taurus [48]

Answer and explanation:

Given:

Royal soil= $6.50 per pound

Royal peasant = $2 per pound of 10 pounds

Blend total pounds is x+10, price is unknown hence solved below

Using algebra

We find unknown x = number of pounds of royal soil

$6.50(x)+$2(10)=6.50x+20/x+10(x+10)

= 6.50x+20= 6.50x²+85x+200

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3 years ago
Is it possible to add to negative numbers and get a positive? give reasons for your response
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2 years ago
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The statue of liberty is 305 feet tall. A nearby building is 4/9 as tall. Find the height of the building.
inysia [295]

Answer:

The nearby building is 135 \dfrac{5}{9} feet tall.

Step-by-step explanation:

The statue of liberty is 305 feet tall.

A nearby building is \dfrac{4}{9} as tall as the statue of liberty.

To find the height of the building, you need to find \dfrac{4}{9} of 305:

\dfrac{4}{9}\cdot 305=\dfrac{1,220}{9}= 135 \dfrac{5}{9}\ feet

Thus, the nearby building is 135 \dfrac{5}{9} feet tall.

5 0
3 years ago
A portion of the Quadratic Formula proof is shown. Fill in the missing reason
Dahasolnce [82]

Answer:

The first one

Step-by-step explanation:

I believe it is the first option, as you can see that, on the right hand side, 4a was multiplied to the first term to make a common denominator. I'm sorry if it is wrong, and I hope this helped.

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3 years ago
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What is the height of cone S?
balu736 [363]

Answer:

12 cm

Step-by-step explanation:

First, we find the scale factor from cone S to cone T.

ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8

The ratio of the volumes is 8:1

The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.

scale factor = cubic root of 8 = 2

The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.

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