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3 years ago

What is an equation of the axis of symmetry for the parabola whose equation is y=2x^2-3x+4

Mathematics

1 answer:

krek1111 [17]3 years ago

4 0

Answer:

x = 3/4 or x = 0.75

Step-by-step explanation:

y=2x²-3x+4

y'=4x-3 = 0

x = 3/4 .... answer

x = - b/2a ...y=ax²+bx+c

x = - (-3)/(2*2) = 3/4

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A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?

kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from $48\,ft^{3}$ to $384\,ft^{3}$ .

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

$V = w\cdot h \cdot l$

Where:

$w$ - Width

$h$ - Height

$l$ - Length

If dimensions are doubled, then volume is increased in a factor of 8:

$V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)$

$V_{f} = 8\cdot w \cdot h \cdot l$

$V_{f} = 8 \cdot V_{o}$

The volume is increased from $48\,ft^{3}$ to $384\,ft^{3}$ .

3 0

3 years ago

1. A waste management service attempts to design routes so that each of their trucks pick-up on average four tons of garbage or

Galina-37 [17]

Answer:

We conclude that garbage collector's average picking is more than four tons of garbage per day.

Step-by-step explanation:

We are given the following information n the question:

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 4\text{ tons}\\H_A: \mu > 4\text{ tons}$

Significance level = 5% = 0.05

P-value = 0.04

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.

P values evaluate how well the sample data support that the null hypothesis is true.
P-value is a measure or indicator that helps us to know that whether the sample belongs to the population or not.
Null hypothesis states that the sample belongs to the population.

A high p-values states that the null hypothesis is true ad the sample belongs to the population.ll.

A low p-value suggests that sample provides enough evidence that you the null hypothesis is not true and the sample does not belong to the population.
We compare p-value to significance level to obtain our result.

Here,

p-value = 0.04 < Significance level = 0.05

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. That is there were enough evidence to support the fact that sample does not belong to the population and we conclude that garbage collector's average picking is more than four tons of garbage per day.

6 0

3 years ago

Graph this function:<br> y–3=2(x–5)

ICE Princess25 [194]

Here you go. This is the graph of the function:

y - 3 = 2(x - 5)