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3 years ago

Write the quadratic equation y=x^2-6x+7 in vertex form

1 answer:

4 0

Using the formula x = b/(-2a) to find the x of the vertex you can find y of the vertex and plug into y = a(x - h)² + k where (h, k) is the vertex

h = x = -6/(-2×1) = 3
k = y = (3)² - 6(3) + 7 = -2
a = 1 because it is the coefficient of x² in y = ax² + bx + c

Answer: y = (x - 3)² - 2

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What is equivalent to 1 1/2

Marat540 [252]

Answer:

1 1/2 is equal to 1.5.

Step-by-step explanation:

1/2 converted is .5.

A half of 1 is .5 or 1/2.

3 0

3 years ago

Solve each equation. Show all your work. Round your answers to four decimal places. (a) 7^4x=10,(b)ln(2)+In(4x-1)=5

KengaRu [80]

A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958

b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016

4 0

3 years ago

Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia

Elan Coil [88]

Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

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:

$\mu = 75, \sigma = 12.5$

Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.

X = 81

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

$Z = \frac{81 - 75}{12.5}$

$Z = 0.48$

$Z = 0.48$ has a pvalue of 0.6844

X = 69

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

$Z = \frac{69 - 75}{12.5}$

$Z = -0.48$

$Z = -0.48$ has a pvalue of 0.3156

0.6844 - 0.3156 = 0.3688

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

3 0

3 years ago

Read 2 more answers

The data set shows the number of stamps that each of 10 stamp collectors brought to a show.

Ganezh [65]

Only 71 is an outlier.

4 0

3 years ago

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7m2 + 3m + 4m2<br> What is the answer to this

mylen [45]

I’m assuming the 2’s are supposed to be exponents so you’re gonna to combine 7m^2 and 4m^2 to get 11m^2 so you’re answer would be

11m2+3m

You dint know the value of M so you can’t solve it, especially because there’s no equal sign with a number or expression/equation after it.

8 0

2 years ago