Given the function

Mathematics

1 answer:

nika2105 [10]3 years ago

4 0

$\left \{ {{7x+6\:\:\:\:\:\:x$

$f(-1)$

Solve

$-7\cdot \:1+6x$ Swap the negative sign

$-7+6x$ Multiply the numbers

$-7+6x+7$ Add 7 to both sides

$6x$ Simplify

$\frac{6x}{6}$ Divide both sides by 6

$x$ Simplify

$-7\cdot \:1+12x$ Swap the negative sign

$-7+12x$ Multiply the numbers

$-7+12x+7$ Add 7 to both sides

$12x$ Simplify

$\frac{12x}{12}$ Divide both sides by 12

$x$ Simplify

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10. Your Turn: Find the equation of a line that is perpendicular to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK

agasfer [191]

Alright, so since the slope of the perpendicular line is -1/(slope), we get (-1/2)=-1/2 and y=(-1/2)x + something. Plugging 7 in as y and -4 in as x, we get 7=(-1/2)(4)+something (let's make it a variable b), and multiplying it out we get 7=-2+b. Adding 2 to both sides, we get 7+2=9=b, so the perpendicular line equation is therefore y=(-1/2)x+b

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3 years ago

Convert 23,232 ft. to miles

olya-2409 [2.1K]

For the conversion of feet to miles,

$1\text{ mile=5280 feet }$

Determine the miles in 23,232 ft by divide it by 5280.

$23232\text{ feet}\cdot\frac{1\text{ mile}}{5280\text{ feet}}=4.4\text{ miles}$

So answer is 4.4 miles.

5 0

1 year ago

The equation 50=36.50+0.10m represent the additional number of messages roboerto can send with a budget of $50 .solve the equati

charle [14.2K]

Answer :
M = 135

Step by Step Explanation :
See the photo attached :) it’s kinda hard to explain in words but you cancel out the 36.50 by subtracting it on both sides, and then the equation becomes 13.50 = 0.10m. Since we have to get the m by itself, you cancel out the 0.10 by subtracting on both sides, and it leaves you with 135 = m

(Ignore my messy handwriting on a post it :3)

I hope this helped! If u have any questions feel free to comment on this!