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Rainbow [258]
3 years ago
5

The point (3, 18) is on the parabola y =

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer:

y =  {ax}^{2}  \\ 18 = (a \times  {3}^{2} ) \\ 18 = 9a \\ a = 2

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Use the perfect square method <br> (3x + 3)^2 = 36
kkurt [141]

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

x = -3

Collect all solutions;

<u>x = 1, -3</u>

8 0
2 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
sineoko [7]

Answer:

The value of x =2 and y= 2, because they are congruent and 2+2=4

3 0
2 years ago
Read 2 more answers
The answer ASAP I don’t understand this at all
RSB [31]

Answer:

T = 530N + 250

Step-by-step explanation:

For the first plan, Heather will deposit $250 and then save $135 per month.

So, that is 250 + (135 x N) where N is the number of months she saves the $135.

So if it is for 3months,

We will have:

t¹ = 135N + 250

= 250 + (135 x 3)

= 250 + 405

= $655

For the second plan, there is no initial deposit, but she will save $395 per month.

That is 395 x N

t² = 395N

For 3months, we have 395 x 3 = $1185

Therefore the total for both plans in 3months = 655 + 1185 = $1840

Equation relating T to N

T = t¹ + t²

T = (135N + 250) + 395N

T = 135N + 250 + 395N

T = 530N + 250

5 0
3 years ago
The height of a fireworks rocket in meters can be approximated by h= -5t^2+30t, where h is the height in meters and t is the tim
Crazy boy [7]

It takes 45 seconds. the easiest way to do these is to use a graphic calculator and replace the variables with x and y, for example, this equation would become -5x^2+30x, and if you don't have access to a graphing calculator, you can always use desmos online.

3 0
3 years ago
Read 2 more answers
In a random sample of 200 students, 55% indicated they have full-time jobs, while the other 45% have part-time jobs. Fifty of th
Zigmanuir [339]

Answer:

The probability is \frac{5}{9}

Step-by-step explanation:

The total number of students are 200.

number of full timers is 110 and number of part timers is 90.

number of male students is 90 and number of female students is 110.

Let the probability of part timers be P(B).

P(B) = \frac{90}{200} = \frac{9}{20}

Let the probability of female part timers be P(A)

P(A) = \frac{50}{200} = \frac{5}{20}

now, the final probability is

= \frac{P(A)}{P(B)}

=\frac{5/20}{9/20} = \frac{5}{9}

8 0
3 years ago
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