Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

week 6 quiz due sunday by 11:59pm points 100 submitting in an external …

Question

week 6 quiz
due sunday by 11:59pm
points 100
submitting in an external tool
available oct 6 at 12am - oct 26 at 11:59pm
all
question 1 - 1 point
evaluate $\frac{3uv + 7v + 12}{6v + 13}$ when $u=-2$ and $v = 2$
provide your answer below:

Explanation:

Step1: Substitute values of u and v

Substitute $u = - 2$ and $v = 2$ into $\frac{3uv + 7v+12}{6v + 13}$.
We get $\frac{3\times(-2)\times2+7\times2 + 12}{6\times2+13}$.

Step2: Calculate numerator

Calculate the numerator $3\times(-2)\times2+7\times2 + 12$.
$3\times(-2)\times2=-12$, $7\times2 = 14$.
So, $-12 + 14+12=14$.

Step3: Calculate denominator

Calculate the denominator $6\times2 + 13$.
$6\times2=12$, then $12 + 13 = 25$.

Answer:

$\frac{14}{25}$