Answer: 6. 113.398 7. 354.882 8. 4.82803
HOPE THIS HELPS!
Step-by-step explanation:
The simplify is 11, -6²/ 12 - 2(-7)=11
<span> (x + 3) • (x - 12)
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The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold
Step-by-step explanation:
Let s be the number of short-sleeved shirts
and
l be the number of long sleeved-shirts
Then according to given statements
From eqn 1:
Putting in equation 2:
Dividing both sides by 11
Putting l=30 in equation 1
Hence,
37 short-sleeved shirts were sold and 30 long-sleeved shirts were sold
Keywords: Linear equations
Learn more about linear equations at:
#LearnwithBrainly
(–1, 4) to (–4, 1) and <span>(4, 1) to </span><span>(–1, –4)
so
The rule is (x,y) --> (-y,-x)
The reflection over y = - x
hope it helps
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