To solve the problem we must know about Like Terms.
<h3>What are Like Terms?</h3>
Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
The solution to the problem is (-1.7x-1.3).
Given to us
- f(x) = 3.7 - 2x
- g(x) = 0.25x - 5
To find
f(x) + g(x)
To solve the problem we will put the functions as given to us,
Open brackets,
<h3>Like Terms</h3>
Solve the like terms,
Hence, the solution to the problem is (-1.7x-1.3).
Learn more about Like Terms:
brainly.com/question/2513478
Remark
There are two ways to do this. You can graph the equations (which I have included at the end of the question using Desmos) or you can solve it algebraically which in this case is going to be slightly painful.
Algebra
Multiply the first equation by 4 and the second by 3
<em><u>First Equation</u></em>
4 [3x + 4y = 16]
12x + 16y = 64 (3)
<em><u>Second Equation</u></em>
3 [-4x - 3y = - 19]
- 12x - 9y = - 57 (4)
Add (3) and (4)
12x + 16y = 64
<u>- 12x - 9y = -57 </u> Add
7y = 7 Divide by 7
y = 1
Solve for x
3x + 4y = 16 Let y = 1
3x + 4(1) = 16
3x + 4 = 16 Subtract 4
3x = 12 Divide by 3
x = 12/3
x = 4
Answer
(4,1) just as the graph suggests.
Answer:
y=1472/3
Step-by-step explanation:
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let x represent the number of cups of additional cups of sugar and y represents the total number of pies she can bake.
Given that;
"Laura has already baked 9 pies, and she can bake 2 pies with each additional cup of sugar she buys"
With 14 additional cups of sugar;
substituting the value of x;
Therefore, the total number of pies Laura can Bake with 14 additional cups of sugar is;
