The solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equations:
3x - 4y=12 and
2x+y=8
Multiplu by 4 on both side in equation 2x+y=8
8x + 4y = 32
Add the equaton 8x + 4y = 32 and 3x - 4y=12
3x - 4y=12
8x + 4y = 32
11x = 44
x = 4
Similarly, we can find the value of y:
y = 0
Thus, the solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0
Learn more about the linear equation here:
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X axis
means y turns to -y
multiply whole thing by -1
g(x)=-(x^2+5)
g(x)=-x^2-5
<h3>Answers:</h3>
- A) No, it is not a function
- B) Yes it's a function
- C) Not a function
- D) Yes it's a function
- E) Yes it's a function
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Explanation:
If y has an exponent of 2, 4, 6, etc (basically any even number) then it leads to having inputs with multiple outputs.
Consider something like y^2 = x. If x = 100, then y = 10 or y = -10 are possible. A function can only have exactly one y output for any valid x input. Similar issues happen for things like y^4 = x and so on. So this is why A and C are not functions.
The other equations do not have y values with such exponents, so we can solve for y and have each x input lead to exactly one y output. Therefore, they are functions.
Answer:
Total number of balloons= 160
Step-by-step explanation:
Giving the following information:
Number of balloons inflated by Zoey= 24
Proportion of balloons inflated= 15%
<u>To calculate the total number of balloons, we need to use the following formula:</u>
Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated
Total number of balloons= 24 / 0.15
Total number of balloons= 160
