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d1i1m1o1n [39]
3 years ago
14

Using the quadratic formula to solve 4x^2-3x + 9=2x + 1 what are the values of x​

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

x=5±√−103/8

Step-by-step explanation:

There's no real solutions

4x2−3x+9−(2x+1)=2x+1−(2x+1)

4x2−5x+8=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(4)(8)/2(4)

x=5±√−103/8

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ax^2+bx+c
(-b(+or-) Square Root of b^2 - 4ac)/2a

9x^2+9x-4=0
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Casey cuts a 2-pound melon into two pieces and puts each piece on a plate.
Dmitry_Shevchenko [17]

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Yes, because each plate has 1 part of the melon.

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10. The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46
Zarrin [17]

Answer:

hope this helps

Step-by-step explanation:

The sum of the digits of a three-digit number is 11.

If the digits are reversed, the new number is 46 more than five times the old number.

If the hundreds digit plus twice the tens digit is equal to the units digit, then what is the number?

:

Write an equation for each statement:

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"The sum of the digits of a three-digit number is 11."

x + y + z = 11

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The three digit number = 100x + 10y + z

The reversed number = 100z + 10y + x

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" If the digits are reversed, the new number is 46 more than five times the old number."

100z + 10y + x = 5(100x + 10y + z) + 46

100z + 10y + x = 500x + 50y + 5z + 46

combine on the right

0 = 500x - x + 50y - 10y + 5z - 100z + 46

499x + 40y - 95z = -46

:

"the hundreds digit plus twice the tens digit is equal to the units digit,"

x + 2y = z

x + 2y - z = 0

:

Three equations, 3 unknowns

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x + y + z = 11

x +2y - z = 0

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2x + 3y = 11

From the 2nd equation statement, we know that the 1st original digit has to be 1

2(1) + 3y = 11

3y = 11 - 2

3y = 9

y = 3 is the 2nd digit

then

1 + 3 + z = 11

z = 11 - 4

z = 7

:

137 is the original number

:

:

Check solution in the 2nd statement

If the digits are reversed, the new number is 46 more than five times the old number."

731 = 5(137) + 46

731 = 685 + 46

7 0
3 years ago
A right triangle has an area of 2k^2-k-15 One of the legs has a length of k^2-9 What is the ratio of the area of a triangle to t
Darya [45]
<h3>Given</h3>

A = 2k² -k -15

L = k² -9

<h3>Find</h3>

A/L

<h3>Solution</h3>

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4 0
3 years ago
Look at the picture and this is for my smart besties to answer
Furkat [3]

Answer:1/12

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