What is the value of h in the triangle below

Find h(2) if h(x) = -16x2 + 32x

Afina-wow [57]

Answer:

0

Step-by-step explanation:

h(x) = -16x^2 + 32x

Let x= 2

h(2) = -16(2)^2 + 32(2)

= -16(4) +64

=0

6 0

3 years ago

In order for a company's employees to work in a foreign office, they must take a test in the language of the country where they

ArbitrLikvidat [17]

Answer:

$\sum x= 37, \sum y= 672, \sum xy =2907, \sum x^2 =173, \sum y^2 = 51320$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=173-\frac{37^2}{9}=20.889$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=2907-\frac{37*672}{9}=144.333$

And the slope would be:

$m=\frac{144.333}{20.889}=6.90953$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{37}{9}=4.111$

$\bar y= \frac{\sum y_i}{n}=\frac{672}{9}=74.667$

And we can find the intercept using this:

$b=\bar y -m \bar x=74.667-(6.9096*4.111)=46.241$

So the line would be given by:

$y=6.9096 x +46.241$

And for this case the value of the slope m = 6.9096 means that for every increase of 1 unit in the number of years we have an increase of approximately 6.9096 in the grades of the test.

Step-by-step explanation:

Data given:

x: 3, 4, 4, 5, 3, 6, 2, 7, 3

y: 61, 68, 75, 82, 73, 90, 58, 93, 72

$m=\frac{S_{xy}}{S_{xx}}$

$\sum x= 37, \sum y= 672, \sum xy =2907, \sum x^2 =173, \sum y^2 = 51320$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=173-\frac{37^2}{9}=20.889$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=2907-\frac{37*672}{9}=144.333$

And the slope would be:

$m=\frac{144.333}{20.889}=6.90953$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{37}{9}=4.111$

$\bar y= \frac{\sum y_i}{n}=\frac{672}{9}=74.667$

And we can find the intercept using this:

$b=\bar y -m \bar x=74.667-(6.9096*4.111)=46.241$

So the line would be given by:

$y=6.9096 x +46.241$

And for this case the value of the slope m = 6.9096 means that for every increase of 1 unit in the number of years we have an increase of approximately 6.9096 in the grades of the test.

3 0

3 years ago

If Doris paid $24.30 for 8.1 pounds of Swiss cheese, what was the price of 1

lesantik [10]

It should be 3, I’m not sure

3 0

3 years ago

I need help on A and B

MaRussiya [10]

The average speed for the trip is calculated as the total distance covered ÷ total time taken
335 miles ÷ 6 hours = 55.833 mph

6 0

3 years ago

A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have.

mihalych1998 [28]

Answer:

1.5

Step-by-step explanation:

Attached to this answer is the diagram of the box plot described in the question, and the means from the plot are calculated thus;

Students; no. of siblings

student 0 2

student 1 4

student 2 7

student 3 5

student 4 2

Total 20

Mean no. of siblings = (total number of siblings) ÷ (total number of students)

Note that number of students here are the once that had at least one sibling, others without siblings are not used in the calculation, hence 5 students (student-0 to student-4) make up total number of students, while the remaining 4 students (student-4 to student-9) are disregarded.

Therefore, mean = 20 ÷ 5 = 4 siblings.

6 0

3 years ago

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