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3 years ago

6

The point 2,1 is the turning point of the graph with the equation y=x^2+ax+b

2 answers:

Amanda [17]3 years ago

7 0

Answer:

a = -4, b = 3

Step-by-step explanation:

sorry, im a bit late but hoping to help others that need the answer.

when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.

in this form, p is the opposite of the x coordinate.

and q is the same as the y coordinate.

to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.

we get: (x-2)^2+1

lets complete the equation now.

(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.

now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:

A = -4

B = 5

if i am wrong please feel free to correct me, ty.

Degger [83]3 years ago

6 0

Answer:

14‏/12‏/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).

Step-by-step explanation:

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Suppose an article reported that 14% of unmarried couples in the United States are mixed racially or ethnically. Consider the po

Anvisha [2.4K]

Answer: $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

Step-by-step explanation:

In sampling distribution of $\hat{p}$ .

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p$

$\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$ , where p= population proportion and n= sample size.

Let p be the population proportion of unmarried couples in the United States are mixed racially or ethnically.

As per given , we have

n = 100

p= 14% =0.14

Then, the mean and standard deviation of the sampling distribution of p will be :

$\mu_{\hat{p}}=0.14$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(1-0.14)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(0.86)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.1204}{100}}$

$\sigma_{\hat{p}}=\sqrt{0.001204}$

$\sigma_{\hat{p}}=0.0346987031458\approx0.0347$

Hence, the required answer : $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

8 0

3 years ago

Write an equation of the line passing through the points (4.15) and (-1. - 15).

jolli1 [7]

Answer:

y = 6x - 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 15)

Point (-1, -15)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute: $m=\frac{-15-15}{-1-4}$
Subtract: $m=\frac{-30}{-5}$
Divide: $m=6$

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

Define: y = 6x + b
Substitute: -15 = 6(-1) + b
Multiply: -15 = -6 + b
Isolate <em>b</em>: -9 = b
Rewrite: b = -9

<u>Step 4: Write linear equation</u>

<em>Substitute in all variables.</em>

y = 6x - 9

And we have our answer!

4 0

3 years ago

vredina [299]

Answer:

slope = - 14

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-x_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 4, 8) and (x₂, y₂ ) = (- 3, - 6)

m = $\frac{-6-8}{-3+4}$ = $\frac{-14}{1}$ = - 14

6 0

4 years ago

What is the main idea of this text

AnnyKZ [126]

Answer:

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3 years ago

Reberto must make his costume for the school play. He needs a piece of fabric that is 1 1/3 yards long and 1 1/2 yards wide. Wha

aliya0001 [1]

Answer:

2

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8 0

3 years ago