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2 years ago

How many x-intercepts does the graph of the function y= 3x^2 - 6x + 5 have?

Mathematics

1 answer:

guajiro [1.7K]2 years ago

5 0

Assuming the parabola is in A^2+Bx+C=0, you can determine how many x-intercepts a function has by doing b^2-4ac. If it’s positive, there are two. If it’s 0, there is 1. If it’s negative, there are none.
(-6)^2-4(3)(5)
=36-60
=-24
Therefore there are 0 X-intercepts

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Which is larger, 4/7 or 2/3?

Delicious77 [7]

2/3 becuase 2/3 in 4/7 is like 4.5/7

8 0

3 years ago

20 Points- Need help, please explain how you got your answer!

Korolek [52]

3v+2 = 7v-6
3v-7v = -6-2
-4v = -8
v = 2

then the length of QS = 3(2)+2 = 6+2 = 8
and the length of TV = 7(2)-6 = 14-6 = 8

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3 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

kherson [118]

Answer:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We don't have a prior estimation for the proportion $\hat p$ so we can use 0.5 as an approximation for this case

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

5 0

3 years ago

Question 17 (5 points)

Elden [556K]

Answer:

The pet sitter babysat his dog for 3 hours.

Step-by-step explanation:

You know that a pet sitter charges $ 20 for supplies and $ 10 per hour of service, represented by the equation C = 10*n + 20, which describes the total cost she would charge for n hours of service.

The pet sitter charges a customer $ 50 for his service, so C has a value of $ 50.

Replacing:

50=10*n+20

Solving:

50 - 20= 10*n +20 -20

30= 10*n

30÷10= n

3= n

The pet sitter babysat his dog for 3 hours.

5 0

3 years ago

What is the equation of this line? A) y=2x-2 B) y= -1/2x-2 C) y= 1/2x-2 D) y= -2x-2

8_murik_8 [283]

Answer:

Step-by-step explanation:

gradient = change in y/change in x= 1/2

y intercept is -2

so y=1/2x-2

6 0

3 years ago

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