Answer: J
Step-by-step explanation:
Answer: x = 4
y = - 3
Step-by-step explanation:
The given system of simultaneous equations is expressed as
x-3y = 13 ------------------------1
2x+4y=-4--------------------------2
We would apply the method of substitution in solving the equations. From equation 1, we would make x to stand alone by adding 3y to the left hand side and the right hand side of the equation. It becomes
x - 3y + 3y = 13 + 3y
x = 13 + 3y
Substituting x = 13 + 3y into equation 2, it becomes
2(13 + 3y) + 4y = - 4
26 + 6y + 4y = - 4
26 + 10y = - 4
Subtracting 26 from the left hand side and the right hand side of the equation, it becomes
26 - 26 + 10y = - 4 - 26
10y = - 30
Dividing the left hand side and the right hand side of the equation by 10, it becomes
10y/10 = - 30/10
y = - 3
Substituting y = - 3 into x = 13 + 3y, it becomes
x = 13 + 3 × - 3
x = 13 - 9
x = 4
Answer:
f = [C - 4(h - p)] grams
Step-by-step explanation:
Given that:
C = 4h + 9f + 4p
where: C is the calorie count contained in the serving, h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving.
To solve for the number of grams of fat, then;
C - 4h - 4p = 9f
C - 4(h - p) = 9f
Divide through by 9, so that:
=
= f
∴ f = [C - 4(h - p)]
The number of grams of fat, f, contained in a serving of food is [C - 4(h - p)]
Answer:
determines the time you used the kayak for at a specific cost you paid.
Step-by-step explanation:
The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).
(x,y)--->(y,x) in the new function.
If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).
For the original function, we used the time we had the kayak to compute the cost. For 3 hours, it cost c(3)=8(3)+10=$34. (3,34) for (t,c).
For the inverse, we will find the time we had the kayak for a specific cost. To write it we switch input(x) and output(y) and solve for y.
y=8x+10
x=8y+10
x-10=8y
This is the inverse function, We replace (x,y) with (c,t).
Answer:
Step-by-step explanation:
A: x = 12-4 = 8
B: x = 12/4 = 3
No wonder you asked for help. Some of the questions don't make sense!
x+3 = 9 ⇒ x=6, which doesn't match either A or B.
3·x = 9 ⇒ x=3, which matches B
9 = 3·x is the same as the previous equation, i.e., B.
3+x = 9, doesn't match either A or B.
x = 9-3, doesn't match either A or B
x = 9÷3 ⇒ x=3, which matches B
x+x+x = 9 ⇒ x=3, which matches B
I'm guessing that there is an error in tape A, and x should be 6, not 8.