All categories

2 years ago

Y=(x-1)^2+2 find the y-intercept

Mathematics

1 answer:

dybincka [34]2 years ago

3 0

Answer:

(0,3)

Step-by-step explanation:

So we have the equation:

$y=(x-1)^2+2$

Recall what the y-intercept is. The y-intercept is when the graph crosses the y-axis. Therefore, at that point, the x-value is 0. So, to find the y-intercept, substitute 0 for x. Thus:

$y=(0-1)^2+2$

Subtract:

$y=(-1)^2+2$

Square:

$y=1+2$

Add:

$y=3$

So, the y-intercept is at (0,3).

And we're done!

You might be interested in

Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour. A. Explain a method f

Soloha48 [4]

Answer:

A. 3.2307692308 batches of Muffins

B. 16 1/4 cups of flour

Step-by-step explanation:

Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.

A. Explain a method for determining the number of batches of the muffin recipe Lauren can make. Then use your method to find the number of batches she can make.

Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.

3 1/4 cups of flour = 1 batch of Muffin recipe

10 1/2 cups of flour = x

3 1/4 × x = 10 1/2 × 1

x = 10 1/2 ÷ 3 1/4

x = 21/2 ÷ 13/4

x = 21/2 × 4/13

x = 42/13

x = 3.2307692308 batches of Muffins

B. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.

3 1/4 cups of flour = 1 batch of Muffin recipe

Hence,

1 batch = 3 1/4 cups of flour

5 batches = x

Cross Multiply

x = 5 × 3 1/4 cups of flour

x = 5 × 13/4

x = 65/4

x = 16 1/4 cups of flour

6 0

2 years ago

A car drives 10 1/2 miles in 1/6 hour. what is its speed in miles per hour

EastWind [94]

(Credit to guy/girl above) 63 miles 10 1/2 x 6 is 63.

7 0

2 years ago

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.711.7 fluid

dexar [7]

Answer: 0.1499

Step-by-step explanation:

Given : The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with mean $\mu=11.7\text{ fluid ounces}$

Standard deviation : $\sigma=0.2\text{ days}$

z-score : $z=\dfrac{X-\mu}{\sigma}$

For X = 11.5

$z=\dfrac{11.5-11.7}{0.2}\approx-1$

For X = 11.6

$z=\dfrac{11.6-11.7}{0.2}\approx-0.5$

Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-

$P(11.5$

Hence, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces =0.1499

5 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!! Factor. 11x^2 + 35x + 6

fredd [130]

Hey there!!

Given equation :

11x² + 35x + 6

Now let's write 35x as 33x and 2x

Then the equation would become :

... 11x² + 33x + 2x + 6

... Now, let's take the common terms 11x² + 33x and 2x + 6

It would become :

... 11x ( x + 3 ) + 2 ( x + 3 )

... Now, we will write this as :

... ( 11x + 2 ) ( x + 3 )

Hence, this is as the answer...

Hope my answer helps!!

6 0

2 years ago

The mean of a normally distributed dataset is 12, and the standard deviation is 2.

Schach [20]

So lets do it like this:
z = (X-Mean)/SD
z1 = (8-12)/2 = - 2 
z2 = (16-12)/2 = + 2 
According to the Empirical Rule 68-95-99.7 
Mean more or less 2SD covers 95% of the values 
So the percentage of data points falling between 8 and 16 = 95%
I hope this can help

5 0

2 years ago