Step-by-step explanation:
given that y=4+2x
for x=5
y=4+2(5)
y=14
for x=7
y=4+2(7)
=18
for x=9
f(9)=4+2(9)
Y=22
for x=10
y=4+2(10)
=y=24
Answer:
x = 5 + sqrt(7) or x = 5 - sqrt(7)
Step-by-step explanation by completing the square:
Solve for x:
x^2 - 10 x + 26 = 8
Subtract 26 from both sides:
x^2 - 10 x = -18
Add 25 to both sides:
x^2 - 10 x + 25 = 7
Write the left hand side as a square:
(x - 5)^2 = 7
Take the square root of both sides:
x - 5 = sqrt(7) or x - 5 = -sqrt(7)
Add 5 to both sides:
x = 5 + sqrt(7) or x - 5 = -sqrt(7)
Add 5 to both sides:
Answer: x = 5 + sqrt(7) or x = 5 - sqrt(7)
Look for the graph where the line crosses the y axis at y=-1, and whose slope is -3. The answer is b.
Answer:
There is a 95.6% chance that the weight will fall within this range.
Step-by-step explanation:
This is because the extremes that are given are roughly two standard deviations from the mean. To be outside of that, there is only 2.2% likelihood to be higher and another 2.2% to be lower. When we subtract these two from 100%, we get our probability.
100% - 2.2% - 2.2% = 95.6%
Answer:
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is x
With m∠54 as the reference angle,
The unknown is the adjacent side of the right angle triangle.
The opposite side of the right angle triangle is 19
To determine x, we would apply the Sine trigonometric ratio.
Sine θ = opposite side/hypotenuse. Therefore,
Sin 54 = 19/x
x = 19/Sin54 = 19/0.809
x = 23.5 to the nearest tenth.
