Answer:
To solve the equation 10x + 12y = 1080, we need to find the values of x and y that satisfy the equation. Here's how you can do it:
Step 1: We'll start by isolating one variable on one side of the equation. Let's isolate x by subtracting 12y from both sides of the equation:
10x + 12y - 12y = 1080 - 12y
This simplifies to:
10x = 1080 - 12y
Step 2: Now, we want to isolate x. To do this, we'll divide both sides of the equation by 10:
10x/10 = (1080 - 12y)/10
Simplifying further:
x = (1080 - 12y)/10
x = 108 - (12y/10)
x = 108 - (6y/5)
So, the value of x in terms of y is x = 108 - (6y/5).
To find the value of y, we can follow a similar process:
Step 1: Let's isolate y by subtracting 10x from both sides of the equation:
10x + 12y - 10x = 1080 - 10x
This simplifies to:
12y = 1080 - 10x
Step 2: Now, we want to isolate y. To do this, we'll divide both sides of the equation by 12:
12y/12 = (1080 - 10x)/12
Simplifying further:
y = (1080 - 10x)/12
y = 90 - (5x/6)
So, the value of y in terms of x is y = 90 - (5x/6).
You can substitute any value for x or y in these equations to find the corresponding value for the other variable. For example, if x = 5, you can substitute it into either equation to find the value of y.
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G(x)= 3x
What is the value of fg(7)
Answer:
fg(7) = 231
Step-by-step explanation:
The question is asking you to find fg(7), which is function of f times function of g when x = 7. To solve it, you just need to plug in the 7 where x is in both equation and then multiply these results.
f(x) = x + 4
f(7) = 7 + 4
= 11
g(x) = 3x
g(7) = 3(7)
= 21
fg(7) = 11 × 21 = 231