Answer:
(x +9)(x +8)
Step-by-step explanation:
In a quadratic with leading coefficient 1, the coefficient of the linear term (17) is the sum of factors of the constant term (72). If you know your times tables, you know that 8×9 = 72, and you also know that 8+9 = 17.
With these facts, you can write the factorization as ...
(x +8)(x +9)
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If you need to see the working out, rather than jumping to the end, you can use the sum information to rewrite the linear term:
x^2 +(8x +9x) +72
Now factor pairs of terms:
(x^2 +8x) + (9x +72) = x(x +8) +9(x +8) = (x +9)(x +8)
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It also helps to be familiar with the product of binomials:
(x +a)(x +b) = x^2 +(a+b)x +ab
since the numerator is x² + 5x - 3, and therefore has a degree of 2, whilst the denominator, 4x¹ - 1, has a degree of 1, therefore, there's no horizontal asymptote.
recall, we only get a horizontal asymptote if the denominator's expression degree is equals or greater than that of the numerator's.
15 pages in 5 hours equals 3 pages in 1 hour
6 times 3 equals 18
he wrote 18 pages this week
Answer: 31.7
Step-by-step explanation:
Felix mean= 9.4
Felix median= 7
Tyler's mean= 54
Tyler's median = 66
The mean of combined data will be the mean of Felix and the mean of Tyler. This will be:
= (9.4 + 54)/2
= 63.4/2
= 31.7
11/2*3/4+1/78=9/8*5/8
5.5*3/4+1/78=9/8*5/8
16.5/4+1/78=9/8*5/8
4.125+1/78=9/8*5/8
4.125+0.013=9/8*5/8
4.125+0.013=1.125*5/8
4.125+0.013=5.625/8
4.125+0.013=0.703
4.138=0.703
the answer is 4.138=0.703
hope this helps