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3 years ago

PLEASE HELP ME ASAP?!?

Mathematics

1 answer:

Blababa [14]3 years ago

5 0

Answer:

f(x) = $\frac{1}{4}x^{2}$ > f(x) = -0.5x² > f(x) = x²

Step-by-step explanation:

In a quadratic function leading coefficient decides the width of a graph.

In simpler words, leading coefficient decides the vertical stretch of the graph.

Higher the value of leading coefficient, higher the vertical stretch.

When a graph is vertically stretched it becomes narrower.

(Note: Minus sign of the coefficient decides the opening of the graph, upwards or downwards)

Therefore, f(x) = x² having coefficient = 1 is the narrowest and f(x) = $\frac{1}{4}x^{2}$ will be the widest.

So the descending order will be,

f(x) = $\frac{1}{4}x^{2}$ > f(x) = -0.5x² > f(x) = x²

You might be interested in

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

zhuklara [117]

Answer:

For the cost from the two methods to be equal, 3,200 books have to be produced

Step-by-step explanation:

In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.

Since the number of books is something we do not know, let’s represent it with a variable called c.

For the first production method, the cost of production will be ; 58,881 + 8.50c

For the second production method, the cost of production will be; 18,081 + 21.25c

Now since they are said to be equal, we proceed to equate both;

58,881 + 8.5c = 18,081 + 21.25c

58,881-18,081 = 21.25c - 8.5c

40,800 = 12.75c

c = 40,800/12.75

c = 3,200 books

4 0

2 years ago

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

In a class of 20 students:

Artyom0805 [142]

Whats the question? I dont understand whats happenign here.

5 0

2 years ago

Read 2 more answers

One water quality standard for water that is discharged into a particular type of stream or pond is that the average daily water

musickatia [10]

Answer:

$t=\frac{18.15-18}{\frac{3.134}{\sqrt{6}}}=0.117$

$p_v =P(t_{5}>0.117)=0.456$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the mean is not significantly higher than 18 at 10% of signficance.

Step-by-step explanation:

Data given and notation

16.8 21.5 19.1 12.8 18.0 20.7

We can calculate the mean and deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And the results are:

$\bar X=18.15$ represent the sample mean

$s=3.134$ represent the sample standard deviation

$n=6$ sample size

$\mu_o =18$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 18, the system of hypothesis would be:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{18.15-18}{\frac{3.134}{\sqrt{6}}}=0.117$

P-value

The degrees of freedom are given by:

$df = n-1 = 6-1= 5$

Since is a right tailed test the p value would be:

$p_v =P(t_{5}>0.117)=0.456$

Conclusion

3 0

2 years ago

The smaller box he is holding a canister of gummy bears that has a diameter of 6 inches and is 10 inches tall. What is the volum

sergejj [24]

Answer:

90pi $in^{3}$ or about 282.74 $in^{3}$

Step-by-step explanation:

Volume is found by base area times height (B*h).

6/2 = 3

3^2 = 9

B: 9pi

9pi*1- = 90pi $in^{3}$ or about 282.74 $in^{3}$

7 0

2 years ago

Read 2 more answers