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andreyandreev [35.5K]
3 years ago
11

Determine whether the parabola y = −x2 + 15x + 8 opens up, down, left, or right.

Mathematics
1 answer:
spayn [35]3 years ago
7 0
Dy/dx=-2x+15

d2y/dx2=-2

Since the acceleration is a constant negative it has an absolute maximum value for y(x), thus it opens downward, as x decreases without bound as x approaches ±∞
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Marilee buys 8 bottles of apple juice for $10.What is the unit price of each bottle
Klio2033 [76]

Answer:

$1.25

Step-by-step explanation:

divide 10/8

equals $1.25

1.25x8=$ 10

5 0
4 years ago
Read 2 more answers
Joy Wigens, who works at Putnam Investments, received a check for $2,670. She deposited 1/3 of the check in her Citibank account
spin [16.1K]

Answer: $1,780

Step-by-step explanation:

Joy Wigens deposited 1/3 of the check of $2,670 that she received in her Citibank account.

The amount she deposited in her Citibank account was:

= 1/3 * 2,670

= $890

The amount she is left with after this deposit will therefore be:

= Check amount - deposit at Citibank

= 2,670 - 890

= $1,780

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=54x2y%20-%2012x2y2" id="TexFormula1" title="54x2y - 12x2y2" alt="54x2y - 12x2y2" align="absmid
Free_Kalibri [48]

Answer:

6x²y(9 - 2y)

Step-by-step explanation:

Step 1: Factor out GCF

6(9x²y - 2x²y²)

Step 2: Factor out <em>x²</em>

6x²(9y - 2y²)

Step 3: Factor out <em>y</em>

6x²y(9 - 2y)

And we have our factored answer.

7 0
3 years ago
Read 2 more answers
In a 10 x 10 grid that represents 800, one square represents
ludmilkaskok [199]
Each square represents 8

If it is 10×10 then there is 100 squares

800÷100=8
3 0
3 years ago
Evaluate Combination (6,6)
andrew11 [14]

Answer:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

Step-by-step explanation:

The utility for the combination formula is in order to find the number of ways to order a set of elements

For this case we want to find the following expression:

6C6

And the general formula for combination is given by:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

8 0
3 years ago
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