Lauren wants to save 30% of her weekly paycheck. How much will she save each week if her paycheck is $150 a week?
1 answer:
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9514 1404 393
Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
Equations are given,
y= x+2
<span>
y= -4x+7
As you can see both the expressions, x+2 and -4x+7 are equal to "y". That means they are equal to each other too.
So let's equal them and solve it.
</span>
<span>
Now we have x's value we will plug it in the first equation to find "y".
</span>
<span>
(1,3)</span>
y= x+2
<span>
y= -4x+7
As you can see both the expressions, x+2 and -4x+7 are equal to "y". That means they are equal to each other too.
So let's equal them and solve it.
</span>
<span>
Now we have x's value we will plug it in the first equation to find "y".
</span>
<span>
(1,3)</span>
9514 1404 393
Answer:
24m^14
Step-by-step explanation:
It looks like you want to simplify ...
__
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)