6h+5(h-5)= 52
Mutiply the bracket by 5
(5)(h)(5)(-5)= 5h-25
6h+5h-25= 52
move -25 to the other side
sign changes from -25 to +25
6h+5h-25+25= 52+25
6h+5h= 77
11h= 77
divide by 11
11h/11= 77/11
Cross out 11 and 11, divide by 11 and becomes 1*1*h= h
h= 7
Answer: h= 7
The prime factors of the polynomial 24x4 – 3x are 3x, 2x -1 and (4x2 + 2x + 1)
<h3>Prime factorization</h3>
Given the polynomial function expressed as:
24x^4 – 3x
Factorize
y = 24x^4 – 3x
Factor out the GCF
y = 3x(8x^3 - 1)
Factor the expression in parenthesis
y = 3x((2x)^3 - 1^3)
y = 3x(2x-1)((2x)^2 + 1^2 +2x)
y = 3x(2x -1)(4x^2 +2x + 1)
Hence the prime factors of the polynomial 24x4 – 3x are 3x, 2x -1 and (4x2 + 2x + 1)
Learn more on prime factorization here: brainly.com/question/92257
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your answer: 7 (b+x) + 7 (b+y)
If You do the distributive property you will get:
7bx+7by
Answer:
Step-by-step explanation:
Dad: 2/5
Son: 1/3
<u>Who mowed most of the lawn? </u> Dad, of course. 2/5 is larger than 1/3. 2/5 is 40% and 1/3 is 33.333%
<u>How much of the lawn still needs to be mowed? </u>
2/5 + 1/3 + X = 1 [1 means the whole lawn. X is the remaining portion.]
6/15 + 5/15 + X = 1 [Convert each fraction so that they have a com,mon denominator. This also shows that 2/5 (6/15) is larger than 1/3 (5/15).
11/15 + X = 1
X = 1 - 11/15
X = 4/15 left to be mowed.
<u>How much does Mr. Doyle have left to mow?</u>
We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.
4/15 left to be mowed.
Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard
Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard
Answer:
1/(x^2-9) + 1.
Step-by-step explanation:
It will be a fractional function with the denominator = 0 when x = 3 or -3.
Therefore the denominator could be x^2 - 9.
At high and low values of x the function will have an horizontal asymptote at y = 0 so to get an asymptote at x = 1 the function could be
1/ x^2-9) + 1.
