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4 years ago

Determine the vertex of the function f(x) = 3x2 – 6x + 13.

1 answer:

4 0

1. a = 3, b = -6, of the standard form.

Rewrite the equation to the vertex form will solve both 2 and 3:

3x^2 - 6x + 13 = 3(x^2 - 2x) + 13 = 3(x^2 - 2x + 1) + 13 + 3 = 3(x - 1)^2 + 16.
where the vertex (h,k) is (1, 16).

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Which sequence is geometric? 1, 5, 9, 13, ... 2, 6, 8, 10, ... 5, 7, 9, 11, ... 4, 8, 16, 32, ...

Sliva [168]

Answer:

4, 8, 16, 32

Step-by-step explanation:

4, 8, 16, 32 is a geometric sequence. The value multiplies by 2 every time.

6 0

3 years ago

A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s

Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o: \mu = 178$

Alternative hypothesis:

$H_1: \mu \neq 178$

The t-test statistics is determined by using the formula:

$t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}$

$t = \dfrac{-0.5}{\dfrac{2}{5}}}$

$\mathbf{t= -1.25}$

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value = 2.064

Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small

5 0

3 years ago

Unit rate for 150 students in 3 classes.

damaskus [11]

Answer:

Step-by-step explanation:

150 students/3 classes= 50 students per class

7 0

3 years ago

Read 2 more answers

I need help please?!!!

Lubov Fominskaja [6]

Y-axis, because what i’ve been taught with coordinates, is you crawl before you walk which means is first it’s x-axis then y-axis. so (0,4) would be on the y-axis. :)

3 0

3 years ago

Read 2 more answers

Micah is preparing for a piano recital. He practices for 50 minutes on Monday and 90 minutes on Wensday

SCORPION-xisa [38]

Answer:

She increased 80% the practise time

Step-by-step explanation:

The question is incomplete, the following is missing:

<em>by how much did she increase the time she practised each day? </em>

From Monday to Wednesday she increased 90 - 50 = 40 minutes the practise time.

To compute the increment as a percentage use: increment/reference *100

In this case, that is: 40/50*100 = 80%, where 50 minutes is taken as a reference.

6 0

3 years ago

Read 2 more answers