Answer:31/28
Step-by-step explanation:
First, we find the slope of the given line.
<span>3x − 4y = 7
-4y = -3x + 7
y = (3/4)x - 7/4
The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.
Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),
We use the point-slope form of the equation of a line.
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4) <---- check option E. Is the fraction 3/4 not there?
y + 2 = (3/4)x + 3
y = (3/4)x + 1
4y = 3x + 4
3x - 4y = -4 <------ this is choice B.
</span>
First, to set up consecutive odd or even integers you have to add 2 to the previous integer.
Let x be the first integer,
(x + 2), (x + 4), and (x + 6)
Now set up the parameters they give:
3(x + x + 2) = x + 6 - 25
Solving:
Combine like terms and distribute on the left, combine like terms on the right.
3(2x + 2) = x - 19
6x + 6 = x - 19
Subtract x from both sides and subtract 6 from both sides.
5x = -25
Divide both sides by 5
x = -5
x + 2 = -5 + 2 = -3
x + 4 = -5 + 4 = -1
x + 6 = -5 + 6 = 1
Check:
3(-5 + -3) ?=? 1 - 25
-24 ?=? -24 CORRECT
Answer:
$40
Step-by-step explanation:
If you were to purchase 7 picture frames, you would replace x in the equation with 7, this is shown below.
<u>f(x)=9x-23 ---> f(x)=9(7)-23</u>
Now we can solve for f(x). First start with 9(7).
<u>f(x)=9(7)-23 ---> f(x)=63-23</u>
Now finish the last part by subtracting 23 from 63.
<u>f(x)=63-23 ---> f(x)=40</u>
This means that you would have to pay $40 dollars to purchase the 7 picture frames.
Answer:
Step-by-step explanation:
how we supposed to do it , when we cant control it