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Dvinal [7]
3 years ago
14

Use the quadratic formula to solve 4x^2 - 8x - 60 = 0

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0
A. You can factor it to those terms
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2x+5y=11 and 4x+3y=1 solve with elimination
storchak [24]
Multiply you first equation by 2 to get 4x + 10y = 22
Now the x terms can be eliminated and cancelled out using elimination.
4x + 10y = 22
4x + 3y = 1

To eliminate you need to "subtract", so you need to multiply one of the equations by -1. 

4x + 10y = 22
-4x -3y = -1
------------------
0 + 7y = 21
y = 3

Now plug 3 into either one of the equations to get x.
7 0
3 years ago
How many ounces of a 15​% alcohol solution must be mixed with 4 ounces of a 20​% alcohol solution to make a 17​% alcohol​ soluti
sukhopar [10]

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

7 0
2 years ago
Read 2 more answers
You rent an apartment that costs $1800 per month during the first year, but the rent
RUDIKE [14]

Answer:

2710 is the answer

Step-by-step explanation:

1800+130(7)

5 0
3 years ago
(2a+b)^2 how do you do this
gulaghasi [49]

•  Expand (2a + b)²:

(2a + b)²

= (2a + b) · (2a + b)


Multiply out the brackets by applying the distributive property of multiplication:

= (2a + b) · 2a + (2a + b) · b

= 2a · 2a + b · 2a + 2a · b + b · b

= 2²a² + 2ab + 2ab + b²


Now, group like terms together, and you get

= 2²a² + 4ab + b²

= 4a² + 4ab + b²    <———    expanded form  (this is the answer).


I hope this helps. =)


Tags:  <em>special product square of a sum algebra</em>

3 0
3 years ago
Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.
lord [1]
X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)
7 0
3 years ago
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