In a two-digit number the units digit is three less than the tens digit. If the digits are reversed, the sum of the reversed num
2 answers:
Answer:
<h2>The digits are 7 and 4. The number would be 74.</h2>Step-by-step explanation:
In a two-digit number we have the unit's digit and the ten's digit. The unit's digit is represented by . Then ten's digit must be represents with a number 10 as a coefficient, and the variable would be
. So, the numerical vale of the number would be:
Also, we know that , because the unit digit is three less than tens digit, or tens digit is three more units than the unit digit.
Then, the sum of the reversed number and the original number is 121, this would be expressed:
But, we know that , so, we replace it:
Then, if tens digits is 3 more,
Therefore, the digits are 7 and 4. The number would be 74.
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well, about A and D, I just plugged the values on the slope formula of
for A the values are 8.01 and 8.0, so indeed those "slopes" are close.
for D the values are -2.25 and 8.0, so no dice on that one.
for B, let's check the y-intercept for g(x), by setting x = 0, we end up g(0) = 0³-4(0)+1, which gives us g(0) = 1.
checking L(x) y-intercept, well, L(x) is in slope-intercept form, thus the +1 sticking out on the far right is the y-intercept, so, dice.
for C, well, the slope if L(x) is 8, since it's in slope-intercept form, the derivative of g(x) is g'(x) = 3x² - 4, and thus g'(0) = -4, so no dice.
for E, do they intercept at (2,1)? well, come on now, L(x) is a tangent line to g(x), so that's a must for a tangent.
for F, we know the slope of the line L(x) is 8, is g'(2) = 8? let's check
recall that g'(x) = 3x² - 4, so g'(2) = 3(2)² - 4, meaning g'(2) = 8, so, dice.