F(x)=x-3<br> g(x)=x^2-x+1

Write the standard form for a parabola that has the following x intercepts: (-4, 0) and (7, 0).

Alja [10]

Answer:

y = x² - 3x - 28

Step-by-step explanation:

given a parabola with x- intercepts x = a and x = b , then

(x - a) and (x - b) are the corresponding factors and the equation is the product of its factors

y = (x - a)(x - b)

here the x- intercepts are x = - 4 and x = 7 , then the factors are

(x - (- 4)) and (x - 7) , that is (x + 4) and (x - 7) , then

y = (x + 4)(x - 7) ← expand using FOIL , then

y = x² - 3x - 28 ← in standard form

8 0

2 years ago

Choose a line parallel to y=-3x+5

vfiekz [6]

Answer:

y = -3x + 6

Step-by-step explanation:

All you can do is change the y intercept, changing the slope will make the line not parallel to the original

7 0

3 years ago

Where would the point

serg [7]

Answer:

A) At x = 4 and y = 2

Step-by-step explanation:

When you have something like (4,2), as shown above, the first number in parenthesis is x while the second number is y.

So here, the 4 would be x and the y would be 2

4 0

2 years ago

Read 2 more answers

A sack contains 180 oranges and 65 mangoes. Find the ratio of mangoes to oranges

Arisa [49]

7:20 sorry if not right in a rush

also will ask that you rate this and not just take the answer

4 0

3 years ago

A newspaper poll asked respondents if they trusted "eco friendly" labels on cleaning products. Out of 1000 adults surveyed, 498

Paul [167]

Answer:

So the p value obtained was a very high value and using the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of respondents that trust these labels is not significanlty less than 0.5 or 50%.

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

X=498 represent the adults that trust these labels

$\hat p=\frac{498}{1000}=0.498$ estimated proportion of respondents that trust these labels

$p_o=0.5$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of respondents that trust these labels is at least 50%:

Null hypothesis: $p\geq 0.5$

Alternative hypothesis: $p < 0.5$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.498 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=-0.126$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level is not provided but we can assume it as $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(Z$

So the p value obtained was a very high value and using the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of respondents that trust these labels is not significanlty less than 0.5 or 50%.

7 0

3 years ago

F(x)=x-3 g(x)=x^2-x+1