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4 years ago

What is the value of7x2 - 10, when x = 6?

Mathematics

1 answer:

cestrela7 [59]4 years ago

7 0

Answer:

242

Step-by-step explanation:

7(6*6)-10

7(36)-10

252-10

=242

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Answer:

See below

Step-by-step explanation:

<u>Use properties of rhombus:</u>

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2 years ago

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write the equation of the line that passes through the point (-1,-6) and is perpendicular to a line that passes through the poin

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Answer:

$y=\frac{2}{3}x-\frac{16}{3}$

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,5) and (-4,8)

substitute the values in the formula

$m=\frac{8-5}{-4+2}$

$m=\frac{3}{-2}$

$m=-\frac{3}{2}$

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

$m_1=-\frac{3}{2}$ ----> slope of the given line

therefore

$m_2=\frac{2}{3}$ ---> slope of the perpendicular line to the given line

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{2}{3}$

$point\ (-1,-6)$

substitute

$y+6=\frac{2}{3}(x+1)$

step 3

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y+6=\frac{2}{3}x+\frac{2}{3}$

$y=\frac{2}{3}x+\frac{2}{3}-6$

$y=\frac{2}{3}x-\frac{16}{3}$

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3 years ago

A cashier at Giorgio's Grocery Store gets paid $8 per hour for shifts of 6 hours or less and $12 per hour for working shifts ove

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Given :

A cashier at Giorgio's Grocery Store gets paid $8 per hour for shifts of 6 hours or less.

And $12 per hour for working shifts over 6 hours long.

To Find :

A function best represents this situation.

Solution :

Let, number of hours is h and amount paid is y .

For, h ≤ 6

y = 8h

For, h > 6

y = 12h

Therefore, function representing this is :

y( h ) = 8h , x ≤ 6

12h , x > 6

Hence, this is the required solution.

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3 years ago

What is the value of7x2 - 10, when x = 6?​

What is the value of7x2 - 10, when x = 6?