The probability that the event won't happen would be .58.
11) 2x+6y-3; x=5,y=4
the question is asking to evaluate for y when x=5 and evaluate for x when y=4,
2x+6y-3
2x+6y=3
2(5)+6y=3
10+6y=3
6y=3-10
y=-7/6 when x=5
2x+6(4)=3
2x+24=3
2x=3-24
x=-21/2 when y=4
12)
Input Output
N 4(n+3)
12 4(12+3) = 4(15)=60
14 4(14+3)=4(17)=68
18 4(18+3)=4(21)=84
25 4(25+3)=4(28)=112
13)8x+y-10; x=4, y=50
8x+y=10
8(4)+y=10
32+y=10
y=10-32
y=-22 when x=4
8x+50=10
8x=10-50
8x=-40
x=-40/8
×=-5/1=-5 when y=50
14) b is correct
15)c is correct
16) c is correct
If you need explanations on these questions, message me.
So the answer is D hope this would help you
Answer:
y ≈ 5.2
Step-by-step explanation:
∠ F = 180° - (42 + 48)° ← sum of angles in a triangle
∠ F = 180° - 90° = 90°
Thus Δ DEF is right at F
Using the sine ratio in the right triangle
sin48° =
=
=
( multiply both sides by 7 )
7 × sin48° = y , then
y ≈ 5.2 ( to the nearest tenth )
1. The rule is that for something to be a function, one input(x-value) can ONLY HAVE ONE output(y-value). If one input has more than one output, it is not a function. Your answer is #1 because you can only have 1 output
2. Since you've been given the input -> x = -10, substitute/plug it into the equation to find the output:
Plug in -10 into "x"
![y=\frac{3}{2} (-10)+6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20%28-10%29%2B6)
y = -15 + 6
y = -9 Your answer is #2