Answer:
y= 4x-7
Step-by-step explanation:
First, we need to find the slope. We can do this by using the formula:
1) y₂-y₁/x₂-x₁
2) 9-5/5-3
3) 4/2
4) The slope is 2
Next, we have to first plug the slope (2) and one of the coordinate pairs (I chose (3,5)) into point-slope format.
5) y-y₁=m(x-x₁)
6) y-5 =4(x-3)
7) Now we just simplify this equation to make it slope intercept form (y=mx+b)
8) y-5= 4x-12
9) y=4x-7
And there you have it :)
Answer:
J
Step-by-step explanation:
If you were to plug in your variables, you would see that -6, and -7 is over 25 and the rest of your variables aren't. So, therefore your answer is J.
Answer:
Amount in 4% account: $550
Step-by-step explanation:
Use simple interest formula 
where
I = interest
P = principal
r = rate (as decimal)
t = time.
<u>4% account:</u>
then
<u>5% account:</u>
then
You have earned $69.50 in total, so
Amount in 4% account: $550
Amount in 5% account: $950
Answer:
x1 =2-5i*sqrt(2)
x2 =2+5i*sqrt(2)
Step-by-step explanation:
-x^2 +4x-54=0 (quadratic equation)
a=-1, b=4, c=-54
x1=(-b+sqrt(b^2-4ac))/2a
x1=(-4+sqrt(4^2 - 4*(-1)(-54))/2*(-1)
x1=(-4+sqrt(16-216))/(-2)
x1 =(-4+sqrt(-200))/(-2)
x1 =(-4+sqrt(200i^2))/(-2) i^2=-1
x1 =(-4+sqrt(100*2*i^2))/(-2)
x1 =(-4+10i*sqrt(2))/(-2)
x1 =2-5i*sqrt(2)
x2 =(-b-sqrt(b^2-4ac))/2a
x2 =(-4-10i*sqrt(2))/(-2)
x2 =2+5i*sqrt(2)
<em>2x - 5 + 3x = 35
</em>
<em>simplify
</em>
<em>5x - 5 = 35
</em>
<em>add 5 to both sides
</em>
<em>5x - 5 + 5 = 35 + 5
</em>
<em>simplify
</em>
<em>5x = 40
</em>
<em>divide both sides by 5
</em>
<em>5x/5 = 40/5
</em>
<em>simplify
</em>
<em>x = 8
</em>
<em>
</em>
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