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ozzi
3 years ago
7

Use the quadratic formula to solve 4x²-9x=2x²-2x-4

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

4x^2-9x = 2x^2 -2x -4\\\\\implies 4x^2 -9x -2x ^2 +2x +4 =0\\\\\implies 2x^2 -7x +4=0\\\\\text{Apply quadratic formula,}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case,} ~a =2, b = -7 ~ \text{and}~ c =4\\\\\\x =\dfrac{-(-7) \pm \sqrt{(-7)^2 - 4 \cdot 2 \cdot 4}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{17}}4\\\\\\\text{Hence,}~ x = \dfrac{7 +\sqrt{17}}4~ \text{and}~x = \dfrac{7 -\sqrt{17}}4

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Which expression is equivalent to the product of m^-4 xm
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Answer:

kjqwhdgmncv

Step-by-step explanation:

5x i the answer lol

4 0
3 years ago
How many 4-digit multiples of 21 and 15 are there and 4-digit multiples of either 21 or 15 are there?
salantis [7]

Answer:

943

Step-by-step explanation:

21| 1000

   | ----------

       47 | 13

21-13=8

1000+8=1008

21|9999

  |---------

     476|3

9999-3=9996

1008,1029,...,9996

let n be number of terms

a=1008,d=21,l=9996

9996=1008+(n-1)21

9996-1008=(n-1)21

8988=(n-1)21

n-1=8988/21

n-1=428

n=428+1=429

again 15|1000

            |---------

                66|10

15-10=5

1000+5=1005

15|9999

  | ---------

      666|9

9999-9=9990

1005,1020,...,9990

a=1005,d=15,l=9990

let n be number of terms.

9990=1005+(n-1)15

9990-1005=(n-1)15

8985=(n-1)15

n-1=8985/15

n-1=599

n=599+1=600

21=3×7

15=3×5

L.C.M.=3×5×7=105

105)1000(9

      -945

     ____

         55

105-55=50

1000+50=1050

105)9999(

     -945

   ---------

         549

       - 525

        -------

            24

        -------

9999-24=9975

1050,1155,...,9975

let n be number of terms.

d=105

l=a+(n-1)d

9975=1050+(n-1)105

9975-1050=(n-1)105

8025=(n-1)105

n-1=8925/105

n-1=85

n=85+1=86

so there are 86 multiples of 21 and 15

(A∪B)=A+B-(A∩B)

multiples of 21 or 15=429+600-86=1029-86=943

4 0
3 years ago
A baseball pitcher has pitched 82 2/3 Innings. What is the number of innings written as a decimal?
Arlecino [84]
82.66666667 (this rounded) if you want the non rounded version this is the answer:

82.6666666666666666

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Ex. _
82.66


Any of these answers are correct, you can choose which to use. The safest answer would be the last one that has the line on top.

Pls mark brainliest :)
6 0
3 years ago
Find the unit rate 12 cupcakes in 3 boxes =
sveticcg [70]

Answer:

4 cupcakes per box

Step-by-step explanation:

If there is 12 cupcakes in 3 boxes, you can divide 12 by 3 and get 4 which is  how many cupcakes are in one box.

~Good Luck~

3 0
3 years ago
Read 2 more answers
Evaluate: x(y – z) for x = 3, y = 9, and z = 2<br> O 33<br> O 45<br> O-21<br> O 21
ad-work [718]

Answer:

21

Step-by-step explanation:

Hi there!

We are given the expression x(y-z), and we want to evaluate it if x=3, y=9, and z=2

As we're given the values of the variables, we can substitute those values into the expression to find out what the value of the expression is.

So substitute 3 as x, 9 as y, and 2 as z in the expression above

x(y-z)

3(9-2)

Now we must follow the order of operations; start by subtracting 2 from 9 (do the stuff inside the parentheses first)

3(7)

Now multiply 3 and 7 together

<u>21</u>

Hope this helps!

3 0
3 years ago
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