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4 years ago

Write y = 4/5x 8 in standard form using integers

1 answer:

7 0

Standard form is ax+by=c

y=4/5x+8
ties both sides by 5 to get integers
5y=4x+40
minus 4x bot sides
-4x+5y=40
times -1
4x-5y=-40

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Which equation is the inverse of 5y+4 = (x+3)^2 + 1/2?

katovenus [111]

we have

$5y+4=(x+3)^{2}+\frac{1}{2}$

Step 1

Swap x and y

$5x+4=(y+3)^{2}+\frac{1}{2}$

Step 2

Solve for y

$5x+4-\frac{1}{2}=(y+3)^{2}$

$(y+3)^{2}=5x+\frac{7}{2}$

Square root both sides

$(y+3)=(+/-)\sqrt{5x+\frac{7}{2}}$

$y=(+/-)\sqrt{5x+\frac{7}{2}}-3$

Step 3

Let

$f(x)^{-1}=y$

$f(x)^{-1}=(+/-)\sqrt{5x+\frac{7}{2}}-3$

therefore

<u>the answer is the option D</u>

$y=-3(+/-)\sqrt{5x+\frac{7}{2}}$

8 0

3 years ago

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jekas [21]

Answer:

Step-by-step explanation:

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3 years ago

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The population of the town is 2500 and is decreasing at a rate of 3% per year. determine the population after 11 years

Debora [2.8K]

Answer:

$\huge \boxed{ \boxed{1675}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

percent
percentage words problem
PEMDAS

<h3>given:</h3>

population:2500
decreasing rate:3%

the population after 11 years

<h3>let's solve:</h3>

according to the question

population decreases in 1 year

$2500 \times 3\% \\ 2500 \times \frac{3}{100} \\ 25 \times 3 \\ 75$

population will decrease in 11 years

75×11
825

so the population of the town after 11 years will be

2500-825

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3 years ago

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Alla [95]

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3 years ago

The manager of a water park keeps track of the amount of money collected, m, and the number of tickets sold, t, each day. Which

Alexandra [31]

B. is the correct answer

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