The sum of the set of x - values given to us is calculated as; ∑X = -1
<h3>How to find the the sum of a set of data?</h3>
We are given;
X1 = 2, X2 = -8, X3 = 4, X4 = -8 and Y1 = -3, Y2 = -8, Y3 = 10, Y4 = 6
1) ∑X = X1 + X2 + X3 + X4
∑X = 2 + (-8) + 4 + 1 = -1
2) ∑Y = Y1 + Y2 + Y3 + Y4
∑Y = 3 + (-8) + 10 + 6
∑Y = -11
3) ∑ X² = X₁² + X₂² + X₃² + X₄²
∑X² = (2)² + (-8)² + (4)² + (1)²
∑X² = 85
4) ∑Y² = Y₁² + Y₂² + Y₃² + Y₄²
∑X² = (-3)² + (-8)² + (10)² + (6)²
∑X² = 209
Complete question is;
Two variables, X and Y assume the values X1 = 2, X2 = -5, X3 = 4, X4 = 1 and Y1 = -3, Y2 = -8, Y3 = 10, Y4 = 6, respectively. Calculate (a) ∑X, (b) ∑ Y, (c) ∑ X² (d) ∑ Y²
Read more about Sum of data at; brainly.com/question/15858152
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Using decimal multipliers, it is found that the value of x is of 16.67.
<h3>What is a decimal multiplier?</h3>
Increases of a% or decreases of a% re represented by decimal values, as follows:
- The equivalent multiplier for an increase of a% is given by:
- The equivalent multiplier for an decrease of a% is given by:
In this problem:
- The price at the beginning of January was of a.
- Increase of 20% in January, hence
.
- Decrease of 20% in February, hence
.
- Increase of 25% in March, hence
.
- Decrease of x% in April, hence
The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:
The value of x is of 16.67.
To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336
The x intercept is when the line passes through the x axis , the only time that happens is when y=0
the y intercept is when the line passes through the y axis, the only time that happens is when x=0
so to solve for them, set the other coortinate to zero so
x intercept is when y=0 so set y to zero and solve for x
0-1/4x=-1/2
-1/4x=-1/2
multiply both sides by -4/1
x=2
the x intercept is (2,0)
the y intercept is when x=0 so set x to zero
y-1/4(0)=-1/2
y=-1/2
the y intercept is (0,-1/2)
the x itnercept=(2,0)
the y intercept=(0,-1/2)
Answer:
54 cm
Step-by-step explanation:
Using the formula for the area of a trapezoid (area is the sum of the two bases times the height and then halved):
A = 1/2 (h) (b1 + b2)
5350 = 1/2 (h) (135 + 65)
5350 = 1/2 (h) (200)
5350 = h (100)
5350/100 = h
h = 53.5
h ≈ 54 cm
Answer:
The equation x = -3y + 4 6y + 2x = 8 has <u>infinite </u>number of<u> </u>solutions.
