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ad-work [718]
3 years ago
10

Part A: Factor 5x2b^2 + 14xb^2 − 3b^2. Show your work. (4 points)

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0
A.
alright
we can factor out the b² from everybody

b²(5x²+14x-3)
use ac method
for ax²+bx+c
multiply ac, and remember te result
find what 2 numbers multiply to ac and add to get b
split b up into those 2 numbers
factor
it's confusing so see example below
so

b²(5x²+14x-3)
5 times -3=-15
what 2 numbers multiply to get -15 and add to get 14?
15 and -1
b²(5x+15x-1x-3)
group
b²((5x²+15x)+(-1x-3))
b²(5x(x+3)-1(x+3))
factor
b²(5x-1)(x+3)



B.
what 2 numbers multiply to get 81 and add to get -18?
-9 and -9
(x-9)(x-9) or
(x-9)²

C.
diff of 2 perfect squares
remember a²-b²=(a+b)(a-b)
so
x²-11²=(x+11)(x-11)
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Ted has a shelf that is 75/4 inches wide. How many books can Ted arrange on the shelf if each book is 5/4 inches thick?
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(75/4) / (5/4) = 
75/4 * 4/5 = 
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You repay a bank $480 in three months for a loan. What are your monthly payments to the bank?
insens350 [35]

Answer:

160 dollars per month

Step-by-step explanation:

Well you know the total amount paid is 480 dollars and payments are made once a month for three months.

Divide 480 by three to find the amount paid per month

480/3=160

160 dollars per month

7 0
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1. A linear pair is two adjacent angles that are supplementary and form a straight line.
Stels [109]
The correct awnser is true
4 0
3 years ago
Read 2 more answers
The diffrence of a number m and 30 is 10
viktelen [127]
M - 30 = 10

so the number has to be 10 more than 30.

30+ 10 = m


m = 40
8 0
3 years ago
2. A bag contains 25 paise coins and 50 paise Coins. The number of 25 paise coins is 6 times that of so paise Coins The total va
Karo-lina-s [1.5K]
<h2>~<u>Solution</u> :-</h2>

Here, it is given that the bag contains 25 paise coins and 50 paise coins in which, 25 paise coins are 6 times than that of 50 paise coins. Also, the total money in the bag is Rs. 6.

  • Hence, we can see that, here, we have been given the linear equation be;

Let the number of coins of 50 paise will be $ x $ and the number of coins of 25 paise will be $ 6x $ as given. . .

Hence,

x + 6x = 6

7x = 6

x =  \frac{6}{7}  \\

x = 1.1666667 \approx \: 2

  • Hence, the number of 50 paise coins will be <u>2</u>. And, 6 times of two be;

6(2)

  • Hence, the number of 25 paise coins will be <u>12</u>.
6 0
3 years ago
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