Which expression is equivalent to the given expression?

Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

d1i1m1o1n [39]

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

4 0

2 years ago

Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of

Akimi4 [234]

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

Right angled triangle - one of the angles measure 90 degrees
equilateral triangle - all three sides of the triangle are equal
isosceles triangle - two sides of the triangle are equal

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

8 0

2 years ago

Find the exact value of the 8th term of the geometric sequence: 648,216,72,24?

Vikki [24]

The answer is b, hope I helped (:

8 0

2 years ago

What is the value of x

Gekata [30.6K]

Answer:

$x=20$

Step-by-step explanation:

Since angle RTS is a right angle, we have three similar triangles.

Thus, $\frac{x}{25} = \frac{16}{x}$

Cross Products, $x^2=400$

Take the square root: $x=20$

4 0

3 years ago

Read 2 more answers

Roll a die 10 sided die 3 times. What is the probability that the sequence is strictly increasing or decreasing?

snow_lady [41]

Answer:

The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

Step-by-step explanation:

We have 10 possible outcomes on a single throw.

So, outcomes in 3 throws = $10^{3} =1000$ outcomes.

Let x be the number of strictly increasing arrangements.

Let y be the number of strictly decreasing arrangements.

Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing

So, we have $x+y+z=1000$

If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.

So, x = y

Hence, we can say the final equation will be :

$2x+z=1000$

And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.

10C3= $\frac{10!}{3!7!}$ = 120 ways

So, $2x=2\times120=240$

Thus $z=1000-240=760$

So, the probability is = $\frac{760}{1000} = 0.76$

Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.

4 0

2 years ago