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3 years ago

What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x h)^2 + k?

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:

Step-by-step explanation:

y = 3*2 + 9x - 18

First step in this case is to multiply 3 * 2 = 6.

Then you would have: 6 + 9x - 18

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Is there a way to find figure out a function with just the X & Y intercepts. I know there are convertors to find the X &

AlladinOne [14]

Answer:

Step-by-step explanation:

yes, since that are 2 points:

y-int is (0, y)

x-int is (x, 0)

since you need only two points for a function with no restrictions, we can use y and x intercepts as points

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3 years ago

Question 1 Which choice shows a 90° clockwise rotation of the figure about the point P?

Arada [10]

The third one is correct.....so go for it without hesitation

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3 years ago

pam deposited $6,900 in a savings account with simple interest. Four months later she had earned $23 in interest. What was the i

3241004551 [841]

Answer:

Step-by-step explanation:

We use the simple interest equation of A=P(1+rt).

A-the total amount with interest earned

P-the initial amount or principal

r-rate

t-time in years

We substitute the values P=6900, A=6923, and t=0.33 since 4 months divided by 12 months is 0.333 years. We then solve for r.

$6923=6900(1+r(0.33))\\6923=6900(1+0.33r)\\\frac{6923}{6900} =\frac{6900(1+0.33r)}{6900} \\1.0033=1+0.33r\\1.0033-1=1-1+0.33r\\0.0033=0.33r$

Our final step is to divide both sides by 0.33.

$\frac{0.0033}{0.33} =\frac{0.33r}{0.33} \\0.01=r$

This is the decimal of the rate. We convert to a percentage by multiplying by 100. 0.01(100)=1%.

5 0

3 years ago

If y varies inversely with the square of r, what is the constant of proportionality when y - 10 and 1 = 5?

Anvisha [2.4K]

Question:

If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?

Answer:

The constant of proportionality is 250

Solution:

Given that,

y varies inversely with the square of r

Which means,

$y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}$

Where, "k" is constant of proportionality

Subtitute y = 10 and r = 5

$10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250$

Thus the constant of proportionality is 250

6 0

3 years ago

Lyrx [107]

3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360. Solve for jackets.
660 - 9j + 4j = 360 [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s = 40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360. This satisfies the first equation.
We could check the second one too, but I'm satisfied.

4 0

3 years ago