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3 years ago

Use the discriminant to determine how many X intercepts the graph of the equation has

1 answer:

7 0

<span> The quadratic formula says that any quadratic equation of the form ax^2 + bx + c, then
x=(-b ± √(b^2 - 4ac))/2a, and so because of the square root, theres obviously going to be no x-intercepts if b^2 - 4ac is negative, one x-intercept if its zero, or two if its positive. So to calculate the discriminant, which is whether it has an intercept, no intercepts or two intercepts is:
∆=b^2 - 4ac, where delta, the greek equivalent of D, is used to represent the discriminant.
In the above equation a=-4, b=3 and c=-2, so
∆=3^2 - 4*-4*-2=9 - 32=-23, so because the discriminant is negative, then there are no x-intercepts.

This is from
https://answers.yahoo.com/question/index;_ylt=A0LEVvH2KJ5Y8UMAhHwPxQt.;_ylu=X3oDMTByMjB0aG5zBGNvbG8D...
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The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.

Oksanka [162]

Answer: 13500 cubic centimeters

Step-by-step explanation: lwh/3=volume

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3 years ago

Select the best answer Wood floors are being refinished in an office. If the room is a square with 15 foot 6 inch sides, what wi

malfutka [58]

Answer:

$\$1,436.70$

Step-by-step explanation:

we know that

$1\ ft=12\ in$

step 1

Convert 15 foot 6 inch to feet

$15\ ft\ 6\ in=15+(6/12)=15.5\ ft$

step 2

Find the area of the room

The area of the square room is

$A=15.5^{2}=240.25\ ft^{2}$

step 3

Find the cost

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4 years ago

Write the percent as a fraction or mixed number in simplest form.<br><br> 148%

o-na [289]

Answer:

1 and 12/25

its over 100 percent, that's where the 1 comes from. the 48 that's left would be 48/100, which is then simplified to 24/50, which is simplified one more time to 1 12/25

3 0

3 years ago

Read 2 more answers

Describe the blocks in two ways 24

Amanda [17]

Um what blocks? We need the full problem please

7 0

4 years ago

A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d

kenny6666 [7]

Answer:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =2*P(Z>2)=0.0455$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=25$ represent the sample mean

$\sigma=2$ represent the sample population deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t 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 different from 24, the system of hypothesis would be:

Null hypothesis: $\mu = 24$

Alternative hypothesis: $\mu \neq 24$

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(Z>2)=0.0455$

Conclusion

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4 years ago