The x-intercept is found when y=0, and the y-intercept is found when x=0. If y=0, then we have:
2x=24
x=12
Therefore, the x-intercept is 12, so the full coordinates are (12, 0). Note that the only option with this x-intercept is C, so C is the correct answer.
You can find the y-intercept similarly. If x is zero, then:
-6y=24
y=-4
Therefore, (0, -4) is the y-intercept. This is also part of option C.
Answer:
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Step-by-step explanation:
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<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
We can set up a proportion.
2/3 = x/1
Cross multiply.
2 * 1 = 2. 3 * x = 3x, so we have 3x = 2.
Now we can divide 3 by 2 to get our answer, which is 1.5. :)
