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2 years ago

Find the y-coordinate of the vertex of the parabola whose equation is y=x^2-x+2

2 answers:

meriva2 years ago

8 0

To find a vertex of a parabola, use the equation -b / 2a to find the AOS.

$y = x^{2} -x + 2$

$\frac{-1}{2}$

If the x - coordinate of the equation is $-\frac{1}{2}$ , then plug that value of x in:

$y = \frac{1}{4} + \frac{1}{2} + 2$

The y-coordinate is $\frac{11}{4}$

a_sh-v [17]2 years ago

3 0

Answer:

2 and 1/4

Step-by-step explanation:

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What is the sum in simplest form? 5 3/4 + 2 1/2 A) 7 4/6 B) 7 2/3 C) 8 1/4

alina1380 [7]

Answer:

Step-by-step explanation:

5 3/4 + 2 1/2

Add the whole numbers first

5 + 2

Add the fractions next

3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 and 1/4

The total is

7 + 1 1/4 = 8 1/4

8 0

2 years ago

Three brothers share 2 sandwiches equally how much of a sandwich does each brother get?

Valentin [98]

Answer:
Each brother gets $\frac{2}{3}$ of a sandwich

Explanation:
We know that the total number of sandwiches is 2 and that the number of brothers is 3.

Since we are given that the sandwiches will be divided equally among the three brothers, this means that each will get an equal share.

Therefore, to get the share of each, we will simply divide the number of sandwiches by the number of brothers as follows:
each one will get = $\frac{# sandwiches}{# brothers}$ = $\frac{2}{3}$ of a sandwich

Hope this helps :)

8 0

2 years ago

Read 2 more answers

Y=4x-9 complete the missing value in the solution to the equation

Evgen [1.6K]

Answer:

x= y+9/4

Step-by-step explanation:

3 0

3 years ago

Solve y=-3x+5 5x-4y=-3

kirill [66]

Y = -3x + 5

   5x - 4(-3x + 5) = -3
5x + 4(3x) - 4(5) = -3
   5x + 12x - 20 = -3
         17x - 20 = -3
   + 20 + 20
   17x = 17
      17    17
   x = 1
y = -3x + 5
y = -3(1) + 5
y = -3 + 5
y = 2
(x, y) = (1, 2)

6 0

2 years ago

Of the total population of the United States, 20% live in the northeast. If 200 residents of the United States are selected at r

Snezhnost [94]

Answer:

0.0465 = 4.65% probability that at least 50 live in the northeast.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .