My answer is: D. <span>(6,0,0)
Given:
</span><span> 7x +2y +3z =42
I assumed that the format in the given choices is (x,y,z). So, I substituted each number to its corresponding variable.
A. </span>(14,0,0) → 7(14) +2(0) +3(0) = 42 → 98 + 0 + 0 ≠ 42 NOT THE ANSWER<span>
B. (7,0,0) </span>→ 7(7) +2(0) +3(0) = 42 → 49 + 0 + 0 ≠ 42 NOT THE ANSWER<span>
C. (21,0,0) </span>→ 7(21) +2(0) +3(0) = 42 → 147 + 0 + 0 ≠ 42 NOT THE ANSWER<span>
D. (6,0,0) </span>→ 7(6) +2(0) +3(0) = 42 → 42 + 0 + 0 = 42 CORRECT ANSWER.
<span>The ordered triples indicated where the plane cuts the x-axis for this equation is D. (6,0,0). </span>
3+5.2x=1-2.8x
1. 3+5.2x+2.8x=1
2. 5.2x+2.8x=1-3
5.2x+2.8x=1-3
1. 8x=1-3
2. 8x=-2
8x=-2
1. =-(1/4)
Alternative form:
2. x=-0.25
Answer: The unit digit of the quotient is 1.
Step-by-step explanation:
Since the number 2^1993 + 3^1993 is a multiple of 5, this means that no matter the value of the answer to the equation, the last digit will be 5 (we call the last digit of any number its "unit digit").
Since the unit digit of 2^1993 + 3^1993 is 5, if the unit digit is divided by 5 i.e 5/5, it will give us 1.
We will only consider the last digits of the multiple of 5 as our numerator