Answer:
The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2) is y = 3/4x + 1.
Step-by-step explanation:
3x - 4y = 7 and (-4, -2)
First, solve for y in the equation:
3x - 4y = 7
-4y = -3x + 7
4y = 3x - 7
y = 3/4x - 7/4
m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)
Use the point-slope equation to find the equation that will best represent a parallel line:
y − y1 = m(x − x1)
y - -2 = 3/4(x - -4)
y + 2 = 3/4x + 3 (the 4s cancel out)
(3/4 x 4/1 = 3)
y = 3/4x + 1
The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!
9514 1404 393
Answer:
4.9% weekly
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where A is the account balance that results from investing P at rate r compounded n times per year for t years.
Filling in the values for the two scenarios, we find ...
A = 10,000(1 +0.04/365)^(365·3) ≈ 11,274.89
A = 10,000(1 +0.049/52)^(52·3) = 11,582.74
The higher interest rate will earn Mr. Larson the most money in three years. (4.9% weekly)
Rewrite so
x
is on the left side of the inequality.
12
+
8
x
−
3
x
≥
5
+
2
x
−
2
Subtract
3
x
from
8
x
.
12
+
5
x
≥
5
+
2
x
−
2
Subtract
2
from
5
.
12
+
5
x
≥
2
x
+
3
Move all terms containing
x
to the left side of the inequality.
Tap for more steps...
12
+
3
x
≥
3
Move all terms not containing
x
to the right side of the inequality.
Tap for more steps...
3
x
≥
−
9
Divide each term by
3
and simplify.
Tap for more steps...
x
≥
−
3
The result can be shown in multiple forms.
Inequality Form:
x
≥
−
3
Interval Notation:
[
−
3
,
∞
)
<span> 5 – 6x = 8x + 17
</span>⇔ 5 - 17 = 8x + 6x
⇔ -12 = 14x
⇔ x = -6/7
to do this you would need to shade in 7 out of the 10 rows going horizontally or vertically it doesnt really matter as long as u shade in 7 rows of them
