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3 years ago

5

John has $220 in his account and adds $25 to it each month Cheryl has $100 in her account and adds $35 each to her account. How

many dollars will they have in their accounts when the amounts are the same

2 answers:

77julia77 [94]3 years ago

5 0

Answer:

12 months

Step-by-step explanation:

220 + 25m = 100 + 35m

-100 on each side of the equal sign

120 + 25m = 35m

-25m from each side of the equal sign

120 = 10m

/10 by each side of the equal sign

12 = m

It would take 12 months for them to reach the same amount.

I hope this helps! Please mark as brainliest! Good luck!

sammy [17]3 years ago

4 0

Answer: In 12 months they will have the same amount, which will be $520.

Step-by-step explanation:

220 + 25m = 100 + 35m

m = month

Subtract 100 from each side

120 + 25m = 35m

Subtract 25m from each side

120 = 10m

Divide each side by 10

12 = m

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Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who

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3 years ago

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

$x = -\frac{b}{2a}$

In this case we have the equation $y = 9x^2 + 9x - 1$ .

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Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

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<em>Then the written function in the form of vertice is</em>

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

7 0

3 years ago

What is the shape of the graph of the function?<br> g(x)= 3/2 (2/3) ^x

Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

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We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

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$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0$

Apply rule: $a^0=1,\:a\ne \:0$

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$y=\frac{3}{2}$

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Therefore, the point representing the y-intercept is:

(0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

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Using the zero factor principle

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Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

5 0

3 years ago