Answer:
x-intercept: (3,0)
y-intercept: (0,-4)
Step-by-step explanation:
To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).
Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.
x-intercept
4x-3y=12 [plug in y=0]
4x-3(0)=12 [multiply]
4x-0=12 [add both sides by 0]
4x=12 [divide both sides by 4]
x=3
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y-intercept
4x-3y=12 [plug in x=0]
4(0)-3y=12 [multiply]
0-3y=12 [subtract both sides by 0]
-3y=12 [divide both sides by -3]
y=-4
Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).
You can find this answer using the zero property of multiplication. The correct answer here would be 0 because when you multiply anything by zero, the answer will always be zero.<span />
Sorry hope you find the answer that you’re looking for I am not much help
A) The age of Theresa is 10 years 6 months old
B) Jonathan age is 24 years and 6 months old
<u>Solution:</u>
Given, Theresa is 14 years younger than her brother Jonathan.
Let the age of Theresa be "n" years
Then the age of Jonathan will be "n + 14" years
Together, their total age in years is 35
<em><u>A) Finding age of Theresa:</u></em>
Jonathan age + Theresa age = 35
n + 14 + n = 35
2n + 14 = 35
2n = 35 - 14
2n = 21
n = 10.5
So, age of Theresa is 10 years 6 months
<em><u>B) Finding age of Jonathan</u></em>
Now, we know that n = 10.5
Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years
So, Jonathan is 24 years and 6 months old
