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Mathematics

1 answer:

jolli1 [7]2 years ago

8 0

Answer:

h=8

Step-by-step explanation: $\frac{-7}{8} h= -7\\\\(\frac{8}{-7} )(\frac{-7}{8} h)= -7 (\frac{8}{-7} )\\\\\frac{-56}{-56}h = \frac{56}{7}\\\\ h=\frac{56}{7}\\\\h=8$

the goal is to isolate the variable, get it all by itself. to do that in this problem, we have to move the -7/8 away from the h. we do this by multiplying by the reciprocal (the opposite of the fraction). The reciprocal of -7/8 is 8/-7. So multiply both sides by this and you will get h=8

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A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.

CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

6 + p = 0 ( subtract 6 from both sides )

p = - 6

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5 0

3 years ago

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makvit [3.9K]

Answer:

51in

Step-by-step explanation:

you first have to find the area of the square by multiplying 6 and 7 which is 42. Then you have to find area of the triangle and the formula to do that is (length×width)÷2 . to find the length you have to subtract 7 from 13 which is 6 and the length you have to do 6-3 which is 3 then (6×3)÷2=9 and then you add the area of the square and the area of the triangle and get 42+9=51

6 0

3 years ago

A professor gives a statistics exam. The exam has 100 possible points. The scores for the students in the second classroom are a

Vesna [10]

Answer:

N = 9

M = 87.11

Step-by-step explanation:

According to the situation, the data provided and the solution are as follows

The scores for the student in the classroom is

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The different student's number of scores is 9