What is the next letter BE GJ LO QT

What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?

ololo11 [35]

Point slope form:
$y-y_1=m(x-x_1)$

m=slope
(x1,y1)

First we need to find the slope using the slope formula:
$\frac{y_2-y_1}{x_2-x_1} =slope$

Given the two coordinates:
(1, 9) and (−1, 11)

Plug them into the slope formula:
 $\frac{11-9=2}{-1-1=-2} =slope$
Simplify:
$\frac{2}{-2} =-1$

Now we know that:
m=-1 and the (x1,y1) would be (1, 9)

Now we simply plug in the info:
$y-9=-(x-1)$

Final answer: y − 9 = −(x − 1)

7 0

3 years ago

Factor completely 36a 2 - 24a + 4

stira [4]

4(9a2−6a+1)
Answer:4(3a−1)24(3a-1)2

7 0

3 years ago

Predict what the graph of the following quadratic function will look like. (If you have a graphing calculator, you can use it to

Alex17521 [72]

Answer:

u-shaped; y-intercept (0,6); symmetrical with respect to the y-axis

Step-by-step explanation:

Given that y = 2x² + 6

The graph would be the shape of that of a parabola. It can be u shaped or n shaped depending on the value of the coefficient of a comparing with the standard equation y = ax² + bx + c. If a > 0, it is u shape and if a < 0, it is n shape.

For this question, since a > 0 it would be u shaped and the intercept can be gotten by putting x = 0.

Therefore y = 0² + 6 = 0

The intercept is at (0,6) and is symmetrical with respect to the y-axis

3 0

3 years ago

] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was

Bad White [126]

Answer:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

$\hat p=\frac{502}{1045}=0.480$ estimated proportion of college graduates with a mentor

$p_o=0.42$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:

Null hypothesis: $p \leq 0.42$

Alternative hypothesis: $p > 0.42$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0

2 years ago

A rental car agency charges a flat fee of $139.00 plus $30.00 per day to rent a certain car. Another agency charges a fee of $13

Sveta_85 [38]

139 + 30d = 13 + 51d
139 - 13 = 51d - 30d
126 = 21d
126/21 = d
6 = d

now lets check..
139 + 30d = 139 + 30(6) = 319
13 + 51d = 13 + 51(6) = 319

so on day 6, they will both cost $ 319

5 0

2 years ago