Isolate the variable Y by multiplying 1.5 on both sides.
Hope this helps.
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Answer:
The coordinates of N are (-3,-8)
Step-by-step explanation:
Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
we have;
m = 3 and n = 4
M is (x1,y1) while N is (x2,y2)
we have;
(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)
(x,y) = (-48 + 27)/7, (-20 -36)/7
(x,y) = (-21/7 , -56/7)
(x,y) = (-3,-8)
Answer:
Here's what I get
Step-by-step explanation:
The formula for a quadratic equation is
ax² + bx + c = 0
The quadratic formula gives the roots:
D is the discriminant.
It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.
It doesn't matter if the graph opens upwards or downwards.
If D > 0, the graph crosses the x-axis at two points.
If D = 0, the graph touches the x-axis at one point.
If D < 0, the graph never reaches the x-axis.
Your graph must look like one of the two graphs on the right in the Figure below.
Answer:
1.2%
Step-by-step explanation:
We know that for every 500 computers, 6 are defective. So, to know what percentage of computers are defective on average, we can do a rule of three:
500 computers -> 6 defective
100 computers -> X defective
500/100 = 6/X
X = 100 * 6 / 500 = 1.2
So, in average, for every 100 computers, 1.2 are defective, so the percentage is 1.2% (1.2 for every 100)
For this case we have the following equation:
P (t) = P (1 + r / n) ^ (n * t)
Where,
P: initial investment
r: interest
n: periods
t: time
she will take on her 45th birthday:
for t = 25:
P (25) = 1000 * (1 + 0.0165 / 4) ^ (4 * 25)
P (25) = 1509.31 $
Answer:
The future value of this investment when she takes her trip is:
P (25) = 1509.31 $
