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HACTEHA [7]
4 years ago
5

4xsquared - 9=0? could anyone help me solve this quadratic equation by FACTORING?

Mathematics
1 answer:
Verizon [17]4 years ago
7 0
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
4x^2-9=0\implies 2^2x^2-3^2=0\implies (2x)^2-3^2=0
\\\\\\\
[(2x)-3][(2x)+3]=0\implies 
\begin{cases}
2x-3=0\\
2x=3\\
x=\frac{3}{2}\\
------\\
2x+3=0\\
2x=-3\\
x=-\frac{3}{2}
\end{cases}
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Joe bought 50 candies for $4. What is the cost per piece of candy?
jolli1 [7]

$4/50=$0.08= 8 cents


4 0
4 years ago
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A.Mary wrote all the integers from 1 to 19. How many numbers did she write?
pentagon [3]

Answer:

A. She wrote 19 numbers

B. She wrote 12 numbers

C. She wrote 29 digits

Step-by-step explanation:

To find haw many numbers from x to y subtract x and y and then add 1

  • Ex: There are 6 numbers from 1 to 6 because (6 - 1) + 1 = 6 (1, 2, 3, 4, 5, 6)

To find how many numbers between x and y subtract x and y then subtract 1

  • Ex: There are 4 numbers between 1 and 6 because (6 - 1) - 1 = 4 (2, 3, 4, 5)

The numbers from 1 to 9 have one digit and from 10 to 99 have two digits

A.

∵ Mary wrote all the integers from 1 to 19

∵ (19 - 1) + 1 = 19

∴ She wrote 19 numbers

B.

∵ Rena wrote all the integers from 1 to 12

∵ (12 - 1) + 1 = 12

∴ She wrote 12 numbers

C.

∵ Mary wrote all the integers from 1 to 19

∵ From 1 to 9 the numbers have one digit

∵ There are 9 numbers from 1 to 9 because (9 - 1) + 1 = 9

∴ The number of digits from 1 to 9 = 9 × 1 = 9 digits

∵ There are 10 numbers from 10 to 19 because (19 - 10) + 1 = 10

∵ From 10 to 19 each number has 2 digits

∴ The number of digits from 10 to 19 = 10 × 2 = 20 digits

∴ The number of digits from 1 to 19 = 9 + 20 = 29 digits

∴ She wrote 29 digits

4 0
3 years ago
I need help please????
Naddika [18.5K]

No, the inequality sign is only reversed when dividing by a negative number. The answer to this inequality is h=-8

6 0
3 years ago
What is 50/100 as a decimal
Gennadij [26K]
Okay so, we divide 50 by 100. 50/100=0.5. Therefore, 50/100 as a decimal is 0.5 Hoped I helped. :)
5 0
3 years ago
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The account balance on April 1st is $50.51. On April 15th, a payment of $15.00 is made. On April 25th, a purchase of $19.27 is m
matrenka [14]
Hi there!

The true answer is as follows:

Finance charge = $0.76
To get this you need to take the account balance on April 1st and multiply by the annual rate of 18%, which looks like this:

$50.51 × 0.18 = 9.0918
Then you divide your answer by 12 for the months of the year to get:

9.0918 ÷ 12 = 0.75765
Which rounds to $0.76 for you finance charge

New balance = $55.54
To get this you take the account balance on April 1st and subtract the payment of $15.00 and then add the purchase of $19.27 and the finance charge of $0.76, like so:

$50.51 - $15.00 = $35.51 + $19.27 + $0.76 = $55.54

Your friend, ASIAX
3 0
3 years ago
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