2 years ago

A line has a slope of 2 and a y intercept of (0,-4) what is the value of y when x=6

1 answer:

3 0

First we set up an equation with the givens (slope and y intercept):
y = 2x -4
next plug in 6 for x.
y = (2x6) - 4
y = 12 - 4

And this will give us the value of y: 8.

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Mars2501 [29]

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3 years ago

twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. Find the number

Serhud [2]

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".

So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

$2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n$

The number is 36

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2 years ago

Explain the relationship between an equation in exponential form and the equivalent equation in logarithmic form.

Eddi Din [679]

$\bf 
log_{{ a}}{{ b}}=y \iff {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\iff log_{{ a}}{{ b}}=y\\
\\ \quad \\
thus\\
----------------------------\\
8^5=32768\qquad \iff\qquad log_8(32768)=5$

so... notice the example there, with 8
so.. you tell us, what is the relationship then?

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3 years ago