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Lesechka [4]
3 years ago
6

Which point is an x-intercept of the quadratic equation (x-8)(x+9)

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
7 0

The function can be written like f(x) = (x - 8)(x + 9).

Solve for the zero for both parts of the function.

0 = x - 8

0 + 8 = x - 8 + 8

8 = x

0 = x + 9

0 - 9 = x + 9 - 9

-9 = x

Therefore, the x-intercepts are (8, 0) and (-9, 0).

Best of Luck!

defon3 years ago
5 0

Solve for x in each set of parentheses by setting them to 0:

X -8 = 0

X = 8

X+9 = 0

X =-9

You have two x intercepts (8,0) and (-9,0)

You didn’t list any choices to pick from but it would be either if the ones above.

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The price for 11 ballpoint pens is $11.77. Which of the following represents the same price per pen? A. 4 pens for $4.44 B. 5 pe
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First we need to know how much each pen costs.  So we take 11.77 and divide it by 11.  That gives us 1.07 per pen.  So answer choice A has 4 pens for 4.44, so we need to multiply 1.07 x 4.  That gives you 4.28, so we know that isn't the correct answer.  For option B, we need to multiply 1.07 x 5.  That is 5.35, so that also can't be the answer.  For C, we need to do 1.07 x 6, and that gives us 6.42.  So we know the correct answer is option C.
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Answer: 1/2

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5 0
3 years ago
Given the quadriatic equation
vazorg [7]

Answer:

⇒  The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0

∴  We get, a=1b=−k,c=9

⇒  It is given that roots are real and distinct.

∴  b2−4ac>0

⇒  (−k)2−4(1)(9)>0

⇒  k2−36>0

⇒  k2>36

⇒  k>6 or k<−6

∴  We can see values of k given in question are correct.

8 0
2 years ago
How much is 13,200 feet in miles
Naddika [18.5K]

Answer:

2.5 miles

Step-by-step explanation:

5 0
3 years ago
According to the National Vital Statistics, full-term babies' birth weights are Normally distributed with a mean of 7.5 pounds a
Sav [38]

Answer:

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 7.5, \sigma = 1.1

What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So

X = 8.6

Z = \frac{X - \mu}{\sigma}

Z = \frac{8.6 - 7.5}{1.1}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 6.4

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.4 - 7.5}{1.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

6 0
3 years ago
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