A)
distance covered
5*2/3 = 3.333
time taken = 21min
this means it takes
5*<span>6.306 = 31.53 to covers 5 km
b) </span><span>21min/3.33 = 6.306 time taken to ran 1 km</span>
-6x -17 ≥ 8x + 25
Subtract 8x from each side:
-14x -17 ≥ 25
Add 17 to each side:
-14x ≥ 42
Divide each side by 14 :
-x ≥ 3
Change the signs. (Multiply each side by -1.)
That's when you have to flip the inequality symbol.
x ≤ -3
ANSWER
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.
We introduce the constant of proportionality to obtain,
When, m=95, e=570,
This implies that,
The equation now becomes,
We want to find e, when m=2700,
Answer:
y = 0.75x + 12
Step-by-step explanation:
The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?
y = 12x + 0.75
y = 0.75x + 12
y = 12x − (775
y = 0.75x − 12
y = total cost of a child's toy
Cost of each battery = $0.75
Number of batteries = x
Cost of the toy = $12
Therefore,
total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries
y = 12 + 0.75 * x
y = 12 + 0.75x
y = 0.75x + 12
the correct functions are
h(x) = 3x + 2
g(x) = 2^x
proceed to calculate the different values of K (x)
case 1) k(x) = g(x) ∘ h(x)
g(x) ∘ h(x)=g(h(x))
k(x) = [2]^[3x + 2]-----------> is the option 4. k(x) = 2^(3x + 2 )
case 2) k(x) = g(x) + h(x)
k(x) = [2^x]+[3x + 2]=2^x+3x+2--------> is the option 1.) k(x) = 2^x + 3x + 4
case 3)k(x) = g(x) - h(x)
k(x) = [2^x]-[3x + 2]=2^x-3x-2--------> is the option 2.) k(x) = 2^x - 3x - 2
