It would take roughly 1586.3031 gal to fly 3016 mi
F(x)=5x^2-70x+258
Solving by completing square methods gives us:
5x^2-70x=-258
x^2-14x=-51.6
c=(b/2a)^2
c=(-14/2)^2
c=49
x^2-14x+49=-51.6+49
(x-7)(x-7)=-2.6
(x-7)^2=-2.6
multiplying through by 5 you get:
5(x-7)^2+13=0
The answer is:
A] <span>5(x − 7)2 + 13; The minimum cost to produce the product is $13. </span>
Answer:
70, 140, 280, 350
Step-by-step explanation:
Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.
Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...
So, the four smallest numbers with prime factors of 2, 5, and 7 are ...
70 = 2·5·7
140 = 2²·5·7
280 = 2³·5·7
350 = 2·5²·7
<span>Josh swims 5 more hours per week than David so his hours = 3x + 5
His </span><span>average speed is 4 laps per hour less than David's so it is = x - 4
</span>
Total distance = hours * speed
= (3x + 5)*(x - 4)
= 3x^2 - 7x - 20
Ans is C
Answer:
What is the correct unit rate?
The correct unit rate = 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
Step-by-step explanation:
Henry incorrectly said the rate 1/5 pound/1/10 gallon can be written as the unit rate 1/50 pound per gallon .
What is the correct unit rate?
The correct unit rate
= 1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
What was Henry's likely error?
Henry's likely error was that instead of dividing the fractions he multiplied them
1/5 / 1/10
Henry calculated it : = 1/5 x 1/10 = 1/50
This is wrong.
The correct step is given below
1/5 / 1/10
= 1/5 ÷ 1/10
= 1/5 × 10/1
= 2 pound per gallon
