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NikAS [45]
3 years ago
15

HELP PLEASE IS IMPORTANT! Solve the equation by using the Quadratic Formula. 2x 92-5

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

See attachment for answer and math work.

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David spent 10 days at summer camp. Each day he spent 4 hours at Arts and
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The equation for a parabola has the form y=????x2+????x+cy=ax2+bx+c, where ????a, ????b, and cc are constants and ????≠0a≠0. Fin
d1i1m1o1n [39]

The equation for this parabola satisfies

\begin{cases}a-b+c=9\\9a+3b+c=-19\\16a-4b+c=-12\end{cases}

(in other words, plug in each given point's coordinates (x,y) into the equation y=ax^2+bx+c)

Now,

(a-b+c)-(9a+3b+c)=9-(-19)\implies-8a-4b=28\implies2a+b=-7

(a-b+c)-(16a-4b+c)=9-(-12)\implies-15a+3b=21\implies5a-b=-7

and

(2a+b)+(5a-b)=(-7)+(-7)\implies7a=-14\imples a=-2

2(-2)+b=-7\implies b=-3

(-2)-(-3)+c=9\implies c=8

So the equation of the parabola is

y=-2x^2-3x+8

4 0
3 years ago
An investment banker received a bonus and invested that money in two investments. He put a certain sum
Marianna [84]

Answer:

Step-by-step explanation:

An investment banker received a bonus and invested that money in two investments. He put a certain sum

of money in the first investment that returned 7% interest after one year. In the second investment he

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3 years ago
Chelsea uses 3 pounds of apples to make 4 cups. How many pounds of apple does she need to make 6 pints of applesauce
Gemiola [76]

Here, we know that 1 pint = 2 cups

Thus, 1 cup = \frac{1 pints}{2}

3 ponds apples are needed for 4 cups i.e. 3 ponds of apples = 4 cups of applesauce

1 cup of applesauce = \frac{3 ponds}{4}

Now, 6 pints will have 12 cups of applesauce

Multiplying this equation by 12 ⇒ 1 cup of applesauce = \frac{3 ponds}{4}

12 ×1 cup of applesauce = 12 × \frac{3 ponds}{4}

So, 12 cups of applesauce = 9 ponds of apple.

<u>Thus, 9 ponds of apple will be needed to make 6 pints of applesauce.</u>

7 0
3 years ago
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(ONLY NUMBER 4 ) please help ASAP ( Mark brainlist)
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Answer:

5

30.5

21

Step-by-step explanation:

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