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2 years ago

6

A fish tank holds 90 quarts of water. If you already put 10 gallons, how many more gallons will it take to fill the tank? 4 quar

ts = 1 gallon

1 answer:

olganol [36]2 years ago

4 0

Answer:

12 1/2 gallons

Step-by-step explanation:

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A quadratic function that has the vertex (-2, -4) and passes through the point (-1, -6)

spayn [35]

Answer:

f(x) = -2 (x + 2)² - 4

Step-by-step explanation:

f(x) = a (x - h)² + k (h , k) is vertex h = -2 k = -4

pass point (-1 , -6) f(x) = -6 and x = -1

-6 = a (-1 - (-2))² + (-4)

-6 = a - 4

a = -2

quadratic function: f(x) = -2 (x + 2)² - 4

5 0

3 years ago

What is the factorization of the polynomial below?

katrin [286]

Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

~

5 0

3 years ago

Read 2 more answers

27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8

Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

$27^x=9^{x-4}$

Note that

$27=3^3\\ \\9=3^2,$

then

$27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}$

Rewrite the equation as

$3^{3x}=3^{2(x-4)},$

then

$3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8$

4 0

3 years ago

henry is organizing textbooks on his bookshelf. he has a spanish textbook, a math textbook, and a history textbook. how many dif

Brums [2.3K]

Answer:

6

Step-by-step explanation:

S = Spanish book

M = Math book

H = History book

These are the different ways in which he can organize the book on his bookshelf.

SMH

SHM

MSH

MHS

HSM

HMS

There are 6 ways.

6 0

1 year ago

Ben needs to run 3 kilometers. He already ran 1,200 meters. How much farther does he need to run?

Tanya [424]

1800 meters or 1.8 kilometers

7 0

3 years ago