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2 years ago

A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function

Mathematics

1 answer:

krek1111 [17]2 years ago

8 0

Answer:

y = (1/5)x² or y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²

We know that when x = 5, y = 5, so we have

5 = a(5²) now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or x²/5 (the expressions are equal)

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Nine times a number divided by 2 equals 54.

bazaltina [42]

x = the unknown number

$\frac{9x}{2} =54$

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so 9x is divided by 2

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3 years ago

Identify a pair of vertical angles in the figure

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2 years ago

An account earns simple interest $600 at 5% for 2 years find the interest earned

iVinArrow [24]

Answer:

so your answer would be 60$

Step-by-step explanation:

I = P * r * t

Here, P = $600

r = 0.05 (decimal value for 5%)

t = 2 years

Part a)

The interest earned will be:

I = P * r * t

I = 600 * 0.05 * 2

I = $60

Part b)

The balance in the account will be $600 plus the interest earned or:

$600 + 60 = $660

7 0

2 years ago

The area of a square garden is 1/36 mi 2 how long is each side<br><br>

Vitek1552 [10]

Answer:

1/6 meters

Step-by-step explanation:

Let the side length be x.

Then the area of the square = x^2

∴ x^2 = 1/36

√(x^2) = √(1^2 / 6^2)

x = 1/6

Therefore, the side length is 1/6 meters.

Hope it helped you!!!

6 0

3 years ago

Quadrilateral ABCD is a square. if m

olganol [36]

The answer is B. 18

Explanation:

We know that a square has 4 right angles. A right angle is 90°.

5x° = 90°
5(18)° =90°
90°=90°

Hope this helps some

4 0

2 years ago