3x + 8 = 3x + []
Subtract 3x from both sides.
[] = 8
If you want no values of x, it can be any positive value other than 8.
If you want all values of x, the value must be 8.
If you want only one value of x, it is impossible because both equations have the same slope.
You have to multiply it by a negative number.
The denominators of the fractions are 2 and 10.
<h3>The fractions with numerators of 1 that have sum of 3 / 5 is calculated below</h3>
The sum of the fractions are 3 / 5. Each of the fractions have a numerator of 1. Therefore, let the denominators be x and y
Therefore,
1 / x + 1 / y = 3 / 5
y + x / xy = 3 / 5
cross multiply
5y + 5x = 3xy
Using hit and trial method,
5(2) + 5(10) = 3(10)(2)
10 + 50 = 60
60 = 60
The values are same.
Therefore, the denominators are 2 and 10.
learn more on fraction here: brainly.com/question/11849602?referrer=searchResults
Answer:
$3838
Step-by-step explanation:
The mean of the given numbers is their sum divided by the number of them:
mean = (3000 +3500 +4000 +4500 +3000 +3500 +4204 +5000)/8
= 30704/8 = 3838
If Jim is using this mean for his forecast, then his forecasted sales is $3838.
Answer:
angle of intersection: 5.2°
Step-by-step explanation:
The direction vector normal to the plane is ...
n = (1, 1, 3)
The direction vector of the line is ...
m = (1, -3, 1)
Then the angle θ between them can be found from the dot product:
n•m = |n|·|m|·cos(θ)
(1·1 +1(-3) +3·1) = 1 -3 +3 = 1 = √(1²+1²+3²)·√(1²+(-3)²+1²)·cos(θ)
1 = 11·cos(θ)
θ = arccos(1/11) ≈ 84.8°
This is the angle between the line and the normal to the plane, so the angle between the line and the plane will be the complement of this. Since this angle is not 90°, <em>the line and plane must intersect</em>.
acute angle = 90° -84.8° = 5.2°
_____
The attached graph shows the line and plane meet at a shallow angle, consistent with the above answer.
