Answer:
the answer would be done like this
Step-by-step explanation:
you have to get y by itself so you would need to move the x to the right of the equal sign
once you move anything to the opposite side it switches, so positive becomes negative vice versa
-3y=-x+18
you need to make sure you have positive 1 y so you would divide y by -3 to make it 1
everything else is multiplied by -3 as well
so the answer would be y=⅓x-6
Answer: Always.
Step-by-step explanation:
The transitive property holds true for similar figures always because similar figures have similar shapes, the same angles and dimensions are proportional.
For example:- If figure 1 is similar to figure 2 then both have same shape and same angles and dimensions are proportional .
If figure 2 is similar to figure 3 then both have same shape and same angles and dimensions are proportional .
⇒ figure 1 is similar to figure 3 the both have same shape and same angles and dimensions are proportional as the figure 2 .
Thus the transitive property holds true for similar figures always.
Answer:
(0, -6/5)
(-3, 0)
Step-by-step explanation:
y-intercept is when x is 0.
x-intercept is when y is 0.
Answer:
13.36
Step-by-step explanation:
I will first create a table
X. Y. XY. X²
1. 20. 20. 1
2. 24. 48. 4
3. 35. 105. 9
4. 46. 184. 16
5. 67. 335. 25
6. 80. 480. 36
1. 12. 12. 1
2. 34. 68. 4
3. 34. 102. 9
5. 78. 430. 25
ΣX = 32
ΣY = 430
ΣXY = 1744
ΣX² = 130
n = 10
The formula for regression line is given as :
Y = a + bX
a = intercept
b = slope
The question requires us to find b which is the slope.
b = nΣXY-ΣXΣY/nΣX²-(ΣX)²
= 10x1744-32x430/10x130-(32)²
= 17440-13760/1300-1024
= 3680/276
= 13.36
b = 13.36
Let G be the granola we need (in pound)
Let N be the nut we need (in pound)
Trail mix cost $5.00 per pound---> cost for 7 pound = 5 x 7 = $ 35
4.5G+7N= 35
G+ N = 7
Therefore G = 5.6 N=1.4, we would need 5.6 pound granola & 1.4 pound nut
