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3 years ago

Which function is equivalent to g ( x ) = x 2 + 15 x - 54?

Mathematics

2 answers:

svetoff [14.1K]3 years ago

6 0

Answer:

I have solved on my own.

contains the answer to your question.

MrRa [10]3 years ago

5 0

Answer:

g(x) = (x+18)(x-3)

Step-by-step explanation:

g(x) = x²+15x-54
= x²+18x-3x+54
= x(x+18) -3(x+18)
g(x) = (x+18)(x-3)

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Leezas aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequal

svp [43]

Leeza can put 33 or less gallons of water in aquarium.

Step-by-step explanation:

Given,

Capacity of aquarium = 55 gallons of water

Water already in aquarium = 22 gallons

Let,

x be the number of gallons that can be added in aquarium.

As aquarium can hold 55 gallons of water, therefore, we cannot add more than 55 gallons of water.

$x+22\leq 55$

Subtracting 22 from both sides

$x+22-22\leq 55-22\\x\leq 33$

Leeza can put 33 or less gallons of water in aquarium.

Keywords: inequality, subtraction

Learn more about inequalities at:

#LearnwithBrainly

6 0

3 years ago

What is the probability that a client chooses Greece, or Italy, or both countries, on a tour?

Jlenok [28]

Answer:

Both

Step-by-step explanation:

5 0

3 years ago

The U.S. Census Bureau announced that the median sales price in 2014 for new homes was $282,800 and the mean sales price was $34

victus00 [196]

Answer:

a) 0.9964

b) 0.3040

Step-by-step explanation:

Given data:

standard deviation = $90,000

Mean sales price =$345,800

sample mean = $370,000

Total number of sample = 100

calculate z score for [/tex](\bar x = 370000)[/tex]

$z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}$

z = 2.689

P(x<370000) = P(Z<2.689)

FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964

calculate z score for (\bar x = 350000)

$z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}$

z = 2.133

$P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)$

FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR

$P(Z\leq 2.133) = 0.9836$

$P(Z\leq 0.467) = 0.6796$

SO, = 0.9836 - 0.6796 = 0.3040

4 0

3 years ago

Solve the equation by completing the square. If necessary, round to the nearest hundredth.

diamong [38]

Ax^2+bx=c
REMEMBER THIS

ok
first, make sure that a is 1
done

now take 1/2 of b and square it

-18/2=-9, (-9)^2=81
add that to both sides

x²-18x+81=19+81
x²-18x+81=99
factor perfect square
(x-9)²=100
square root both sides
don't forget positive and negative root
x-9=10
x-9=-10
ad 9 to both sides

x=19
x=-1

answer is -1; 19

2nd choice is answer

8 0

3 years ago

Read 2 more answers

Which three ordered pairs complete the table to give solutions of the equation y = –6x?

Anika [276]

A: <span>(–2, 12), (0,0), and (2, –12)</span>

6 0

3 years ago