Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds
Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II
Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds
Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds
Hope this helps :)
Answer:
D
Step-by-step explanation:
g(x)=f(5x)
this means plugging in 5x for x in f(x):
g(x)=f(5x)=(5x)^2
which can be further simplified:
5^2x^2=25x^2
Since the coefficient of x being larger means a vertical stretch, the answer is D
example:
g(2)=f(5*2)=f(10)=f(10^2)=100
so for g(x), it has the coordinates (2,100), which is most definitely not C
All together there are 15 pieces of fruit
out of 15, 6 of them are lemons.
the probability that the fruit will be a lemon is
6/15
which reduces to
2/5
In order to be perpendicular, you must have a slope that is the opposite reciprocal, so the slope should by -3/4. So the equation could be y = -3/4x with any other number at the end.
