Answer:
y = -0.6x^2 + 5x + 6
Step-by-step explanation:
First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.
y = mx + b
15.6 = 3m + 6
9.6 = 3m
m = 3.2
y = 3.2x + 6
y = a(x - 0)(x - 3) + 3.2x + 6
y = a(x)(x - 3) + 3.2x + 6
Finally, substitute 10 for x and -4 for y in the equation above to find a.
-4 = a(10)(10 - 3) + 3.2*10 + 6
-4 = a(10)(7) + 32 + 6
-4 = 70a + 38
-42 = 70a
a = -0.6
Simplify to write in standard form.
y = -0.6(x)(x - 3) + 3.2x + 6
y = -0.6x^2 + 5x + 6
Answer:
See below.
Step-by-step explanation:
2b + 8 − 5b + 3 = −13 + 8b − 5
Reorder like terms.
2b-5b+8+3=8b-13-5
Combine those like terms. Then solve.
-3b+11=8b-18
-11 -11
-3b=8b-29
-8b -8b
-11b=-29
/-11 /-11
b=2.64
-hope it helps
Let:
x = Pounds of walnuts in the mix.
Each pound of walnuts costs $0.80. thus x pounds of walnuts cost 0.8x dollars.
Each pound of cashews costs $1.25 and the mix will contain 8 pounds of cashews, so the cost is 8*$1.25 = $10
The total cost of the mix is, therefore: 0.8x + 10 dollars.
We are also given the pound of mix costs $1.00 and we have a total of 8 + x pounds, so the total cost of the mix is 1*(8 + x) dollars.
Equating both costs:
0.8x + 10 = 1*(8 + x)
Operating:
0.8x + 10 = 8 + x
Subtracting x and 10:
0.8x - x = 8 - 10
Simplifying:
-0.2x = -2
Dividing by -0.2:
x = -2/(-0.2)
x = 10
Answer: 10 pounds
Math Test Quiz Scores: 16, 20, 22, 25, 25, 20, 15, 18, 19, 20, 23, 17 Find the Range
777dan777 [17]
Answer:
The range is 10
Step-by-step explanation:
To find the range you need to find the lowest number in value, and subract it from the highest number in value.
Answer:
The answer is B. 3/20
Step-by-step explanation:
That will be 1/4 of 3/5
3/5 × 1/4
3/20
