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3 years ago

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

1 answer:

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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X/7=3/2 solve equation, check solution<br>

nexus9112 [7]

Answer:

Step-by-step explanation:

X/7=3/2 multiply by : 5

x = 21/2

6 0

3 years ago

Esteban is shopping for a bookshelf. He has 58 non-fiction books and 145 fiction books. He wants each shelf to have the same num

emmasim [6.3K]

Answer:

Step-by-step explanation:

Criteria:

• same number of books on each shelf

⇒find a number that divides 58 and 145

• greatest number of books on each shelf

⇒find the greatest number that divides 58 and 145

Find the GCF of 58 and 145.

58 = 2 ⋅ 29

145 = 5 ⋅ 29The GCF of 58 and 145 is 29.

Each shelf will contain 29 books.

There are 203 total books (because 58 + 145 = 203).

Divide 203 by 29 to find the number of shelves there should be.

203 / 29 = 7

Therefore, there will be 7 shelves.

5 0

2 years ago

3.14(a2 + ab) when a = 4 and b = 2.

Debora [2.8K]

Just replace a with 4 and b with 2 and your equation looks like
3.14 (4×2+4×2)
solve within the parenthesis first
3.14 (8+8)
3.14 (16) =50.24

5 0

4 years ago

A coffee pot holds 2quarts of coffee. How much is this in cups

Kobotan [32]

Answer:

8 cups

Step-by-step explanation:

1 quart = 4 cups

2 quarts = x cups

x = # of cups

$\large \textsf{$\dfrac{1}{2}$} = \large \textsf{$\dfrac{4}{x}$} \implies \normalsize \textsf{cross multiply}\\\\\large \textsf {$x$ = 8}$

Therefore, there are 8 cups in 2 quarts.

Hope this helps!

3 0

2 years ago

Given that ab = x, evaluate the following: ab+2

Semmy [17]

Answer:

x+2

Step-by-step explanation:

replace ab with x

4 0

3 years ago

Read 2 more answers