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3 years ago

Y = (x - 5)(x + 1) What is the vertex of the parabola ?

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

Answer:

(2,-9)

Step-by-step explanation:

Multiply out the polynomial to get:

x^2-4x-5

the vertex formula is -b/2a (use the coefficients of the equation above)

-(-4)/2(1) = 4/2 = 2

we know the x value of the vertex is 2. Now we can plug that into the original equation to get the y value.

(2-5)(2+1)

(-3)(3) = -9

so the coordinate is (2,-9)

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How to find the discounted price example $25.00 is the original price and the discount is 15%

Alexandra [31]

Since the price is now 15% less you would first find what 15% of 25 is by using 25*.15 and get 3.25 then you subtract that from 25 and get 25-3.25= $21.75

3 0

3 years ago

An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

$P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62$

$= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62$

$=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26$

We have to find the value of x such that the probability is 0.05

$P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26$

Thus, the numerical value of score to achieve grade B is

$76 \leq x \leq 89$

7 0

3 years ago

Please help me with this math question

spayn [35]

Y=1/9(-1)+4

Explanation:
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3 years ago

Which of the following reveals the minimum value for the equation 3x2 + 18x + 15 = 0?

11111nata11111 [884]

Answer:

Step-by-step explanation:

I have no idea

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2 years ago

What would 125 divided by 6 be?

kirza4 [7]

Answer:

20.8333333333

Step-by-step explanation:

Since 6 isn't a factor of 125 there will be a decimal.

6 goes into 125 20 times. Then it can fit in .8333333333 times.,

8 0

3 years ago

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