If we multiply the bottom equation by 2 and move x to the right, it becomes:
4y = 2x-38
Now we can substitute it for the 4y in the top equation:
3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3
Then 4y = 2*3-38 => y = -8
So the solution is (3,-8)
Answer:
= -3
Step-by-step explanation:
Find 2 points
(-2, 4) and (1,-5)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-5-4)/(1 - -2)
= -9/(1+2)
= -9/3
= -3
Answer:
You can find the answer by using the formula x=-b/2a
Step-by-step explanation:
Remember the maximum height will be at the vertex. The x value of the vertex is your time, so use x=-b/2a. Then if it had also asked what the height was, you would plug that answer into your equation to find the y value of the vertex. Pretty sure your teacher is just asking you to find the x though:)
Answer:
2.063X10^-4
0.999
0.833
3.26X10^-3
9.85x10^-3
Step-by-step explanation:
B="At least one component needs service during the warranty period"
C="All three components need service during the warranty period"
D="Only the receiver needs service during the warranty period"
E="Exactly one of the three components needs service during the warranty period"
P(A1)=0.0595
P(A2)=0.0598
P(A3)=0.058
a) P(A1∩A2∩A3)=P(A1)P(A2)P(A3)=0.0595*0.0598*0.058=2.063X10^-4
b) P(B)=1-P(A1∩A2∩A3)=1-2.063X10^-4=0.999
c) P(C)=P(A1'∩A2'∩A3')=P(A1')P(A2')P(A3')=0.9405*0.9402*0.942=0.833
d) P(D)=P(A1'∩A2∩A3)=P(A1')P(A2)P(A3)=0.9405*0.0598*0.058=3.26X10^-3
e) P(E)=P(A1'∩A2∩A3)+P(A1∩A2'∩A3)+P(A1∩A2∩A3')=3.26X10^-3 + 0.0595*0.9402*0.058+0.0595*0.0598*0.942=9.85x10^-3
A. the position of the figure changes
