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bonufazy [111]
2 years ago
5

Expand and simplify 3(3x - 4) - 2(2x - 1)

Mathematics
2 answers:
bogdanovich [222]2 years ago
4 0

Answer:

5x-10

Step-by-step explanation:

expand to 9x-12-4x+2

collect like terms.

5x-10

photoshop1234 [79]2 years ago
4 0
9x^2-12-4x+2
9x^2-4x-10
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How to turn this equation: <br> y= -1.02(x-3)^2+9.25<br> into factored form
MatroZZZ [7]

Answer:

y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})

Step-by-step explanation:

You first equate it to zero to get:

-1.02(x-3)^2+9.25=0

Then solve using square root method

-1.02(x-3)^2=-9.25

(x-3)^2=\frac{-9.25}{-1.02}

(x-3)^2=\frac{925}{102}

x=3\pm\sqrt{\frac{925}{102}}

Or

x=3\pm{\frac{5\sqrt{3774}}{102}}

x={\frac{306\pm5\sqrt{3774}}{102}}

Now work it backwards

102x-(306\pm5\sqrt{3774})=0

(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})=0

Hence the factored form is:

y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})

8 0
3 years ago
suppose Tomas buys a total of 30 baseball and football cards in week 5 . how many of each would he have to buy to keep the same
Charra [1.4K]

Answer:

  • 18 baseball cards
  • 12 football cards

Step-by-step explanation:

The only relationship shown in the table is in week 1, where the ratio of baseball to football cards is ...

  baseball : football = 9 : 6

In week 1, the total of these numbers is 15. You want the total in week 5 to be 30, double the total in week 1. So, Thomas needs to purchase double the numbers he purchased in week 1:

  • 18 baseball cards
  • 12 football cards

_____

<em>Comment on the attachment</em>

This table came from another question you posted, a question with no content other than the table. The blue numbers are blanks in the original table that have been filled in so as to keep the same 3:2 proportion in each week. They appear to have no bearing on this question.

7 0
3 years ago
What is the sum and simplified
Vinvika [58]
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Step 2) Multiply 1/4 by seven to get 7/28 and then 2/7 by 4 to get 14/28.
Step 3) Add numerators: 7+14 to get 21
Step 4) Simpify your new added Fraction 21/28= 3/4

Your answer is 3/4
Please let me know if you would like further explanation (:
6 0
4 years ago
Read 2 more answers
Lydia is painting flower vases. Each vase takes 3?16 of a quart of paint. She has 21?2 quarts of paint. How many flower vases ca
poizon [28]

Answer:

56

Step-by-step explanation:

Given that Lydia is painting flower vases.

Paint required for painting one flower case = 3/16 quart

total paint available with Lydia = 21/2 quart

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This is a problem of direct variation since when no of flower cases increase paint required also increases.

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Hence 21/2 quart for 21/2 divided by 3/16

= 21*16/(3*2)  (by rule for fraction division)

= 7(8)

= 56

5 0
3 years ago
Find the missing number: 40, 61, 85, ?, 142
goldfiish [28.3K]
106 because, 85 plus 21 = 106
5 0
4 years ago
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