Factor 8� − 288a\ -\ 288a − 28 using the GCF
To factor 8a^2 - 288a - 288a - 28 using the greatest common factor (GCF), we need to find the common factor among all the terms.
The common factor among all the terms is 4.
So, we can factor out 4 from each term:
4(2a^2 - 72a - 72a - 7)
Now we can simplify further by combining like terms:
4(2a^2 - 144a - 7)
is that the answer
Apologies for the mistake in the previous response. Let's try again.
To factor 8a^2 - 288a - 288a - 28 using the GCF, we first need to simplify the expression by combining like terms:
8a^2 - 288a - 288a -28
Combining like terms, we get:
8a^2 - 576a - 28
To factor this expression, we can look for pairs of numbers that multiply to -28 and add up to -576. After some investigation, we find that -28 and 20 satisfy these conditions.
So, we can rewrite the expression as:
8a^2 - 28a + 20a - 28
Now, we can factor by grouping:
(8a^2 - 28a) + (20a - 28)
Taking out the common factor from the first group, we get:
4a(2a - 7) + (20a - 28)
Now, we can take out the common factor from the second group:
4a(2a - 7) - 4(5a - 7)
Finally, we have:
(4a - 4)(2a - 7)
So, the factored expression is 4(a - 1)(2a - 7).
To go horseback riding, you pay $40 per hour and a saddle fee of $15. Write an expression, where h is the number of hours, to represent the total amount you would spend.
how much would i spend for 6 hours
To represent the total amount you would spend for h hours of horseback riding, the expression would be:
Total amount = (Hourly rate × Number of hours) + Saddle fee
In this case, the hourly rate is $40 and the saddle fee is $15. Thus, the expression to represent the total amount you would spend for h hours is:
Total amount = (40h) + 15
To determine how much you would spend for 6 hours, substitute h = 6 into the expression:
Total amount = (40 × 6) + 15
Total amount = 240 + 15
Total amount = $255
You would spend $255 for 6 hours of horseback riding.
how are babies made
Babies are typically made thual reproduction. When a sperm cell from a male combines with an egg cell from a female during sexual intercourse, fertilization occurs. This process results in the formation of a zygote, which then develops into an embryo and eventually a fetus. The fetus continues to grow and develop in the mother's uterus until it is ready to be born as a baby. It's important to note that there are various methods, such as in vitro fertilization (IVF), that can assist in the conception of a baby.
To go horseback riding, you pay $40 per hour and a saddle fee of $15. Write an expression, where h is the number of hours, to represent the total amount you would spend.
how much would i spend for 6 hours
To represent the total amount you would spend for h hours of horseback riding, the expression is:
Total amount = (Hourly rate × Number of hours) + Saddle fee
In this case, the hourly rate is $40 and the saddle fee is $15.
To find out how much you would spend for 6 hours, substitute h = 6 into the expression:
Total amount = (40 × 6) + 15
Total amount = 240 + 15
Total amount = $255
You would spend $255 for 6 hours of horseback riding.
To factor the expression 8a^2 - 288a - 288a - 28 using the GCF (Greatest Common Factor), we need to first look for the greatest common factor of all the terms. In this case, the GCF is 4.
Let's rewrite the expression factored by the GCF:
4(2a^2 - 72a - 72a - 7)
Now, we can factor out the common terms within the parentheses:
4(2a(a - 36) - 9(a + 36))
The final factored form of the expression 8a^2 - 288a - 288a - 28 using the GCF is:
4(2a - 9)(a + 36)