1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
docker41 [41]
2 years ago
9

What is the equation of the function represented by this graph?

Mathematics
1 answer:
gayaneshka [121]2 years ago
6 0

Answer:

\displaystyle g(x) = -(x + 2)(x - 4)

Step-by-step explanation:

First, look at the graph to determine whether it opens down or up, which in this case is <em>down</em>, so you insert a negative in front of the expression. Next, locate your <em>x-intercepts</em> [<em>zeros</em> (where the graph insects the x-axis)]. You will see that the graph intersects \displaystyle [-2, 0] and \displaystyle [4, 0], so what you do is insert the zeros' OPPOCITES into the equation because according to the vertex equation, \displaystyle y = A[x - h]^2 + k, that negative in front of \displaystyle h gives you the OPPOCITE outcome, so be careful.

I am joyous to assist you at any time.

You might be interested in
1. two lines meet at a point. set up and solve an equation to find the value of x
Nikolay [14]

Answer: 1) 57 degrees

2) 50 degrees

3) a- 58 degrees, b- 32 degrees

Step-by-step explanation:

78, 52, and the number inbetween = 180

if u find the inbetween number it will be vertically opposite to a

4 0
3 years ago
The weights (in pounds) of 30 preschool children are listed below. which weights are below the 25th percentile? 25 25 26 26.5 27
Leto [7]

from the first 35 through 25

6 0
3 years ago
Of the 22 students in the class, 16 of them are boys.
Eddi Din [679]
22 students...16 boys

probability student will be a boy is 16/22 which reduces to 8/11 or 72.7%
6 0
3 years ago
PLS HELP MEEEEEEEEE pls i make brain
Degger [83]

Answer:

1) 0.75

2) y = \frac{3}{4}x - 3

3) (4, 0); (0, -3)

Step-by-step explanation:

Convert to slope-intercept form (y = mx + b) by solving:

y = \frac{3}{4}x - 3

m is the slope, so \frac{3}{4} or you can write as 0.75.

To find the x and y intercepts, set the y value to zero and solve (x-intercept), and b is the y-intercept.

3 0
3 years ago
Read 2 more answers
Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample
lana [24]

Answer:

z=\frac{0.579 -0.67}{\sqrt{\frac{0.67(1-0.67)}{38}}}=-1.193  

p_v =P(z  

So the p value obtained was a very high value and using the significance level given \alpha=0.1 we have 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 proportion of women athletes graduated is not significantly lower than 0.67 or 67% at 10% of significance

Step-by-step explanation:

Data given and notation

n=38 represent the random sample taken

X=22 represent the number of women athletes graduated

\hat p=\frac{22}{38}=0.579 estimated proportion of women athletes graduated

p_o=0.67 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.90

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.67 or no:  

Null hypothesis:p \geq 0.67  

Alternative hypothesis:p < 0.67  

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.

Calculate the statistic  

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

z=\frac{0.579 -0.67}{\sqrt{\frac{0.67(1-0.67)}{38}}}=-1.193  

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 provided \alpha=0.1. 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 given \alpha=0.1 we have 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 proportion of women athletes graduated is not significantly lower than 0.67 or 67% at 10% of significance

3 0
3 years ago
Other questions:
  • 11+8×{45+4×[3+8×(12×13-8×14)-37]}+1234=
    8·1 answer
  • Can you copy worksheet
    7·1 answer
  • The explicit rule for a sequence is an=5(−2)^n−1
    10·1 answer
  • Which is bigger 0.6 or 0.58?
    5·1 answer
  • Please help me out :)
    12·2 answers
  • What is 3182 divided by 5??
    12·1 answer
  • Give formulae for half yearly calculation of compound intrest formula.
    5·1 answer
  • PLEASE HELP ASAP!!!!!!
    15·1 answer
  • Identify the zeros of the graphed function.
    12·2 answers
  • 2 in.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!