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Tresset [83]
3 years ago
12

What is the answer show work 2(x - 1)^2 +4=16

Mathematics
1 answer:
morpeh [17]3 years ago
5 0
Using quadratic formula:
2(x^2-2x + 1) +4=16
2x^2-4x+6=16
2x^2-4+6-16=0 (then divide both sides by 2)
X^2 -2x- 5= 0
Then use quadratic formula
Answer is;
x = 1 + square root of 6
x = 1 - square root of 6
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How many liters of 60% alcohol solution should be added to 40 liters of a 20% alcohol solution to make a 50% solution?
kolbaska11 [484]

Answer:

120 liters of 60% alcohol solution is needed

Step-by-step explanation:

Let's assume

x liters of 60% alcohol solution  is added

so, we  get solution as

=\frac{60}{100}\times x

=0.6x

we are given

40 liters of a 20% alcohol solution is

=40\times\frac{20}{100}

=40\times\frac{20}{100}

=8

so, total alcohol solution is

=8+0.6x

now, we can find total solutions

total solutions is

=x+40

now, it is making 50% solution

so, we get

\frac{8+0.6x}{x+40} =\frac{50}{100}

now, we can solve for x

\left(8+0.6x\right)\cdot \:100=\left(x+40\right)\cdot \:50

800+60x=50x+2000

10x=1200

x=120

So,

120 liters of 60% alcohol solution is needed

4 0
3 years ago
How do I find B in y=mx+b?
mixas84 [53]
If you already have an equation, all you have to do is locate the slope and look after it. But if it's in a graph, it's where the line is crossing the y-axis.

An example of the equation would be

y=2x+3
y=mx+b
2 would be m which is slope
and 3 would be b which is the y-intercept
3 0
3 years ago
Is chef is going to use a mixture of two brands of Italian dressing the first brand contains 9% vinegar and the second one conta
miskamm [114]

Answer:

80 of vinegar

160 of dressing

Explanation is below.

Hope this helps :)

4 0
3 years ago
The price of fast food has increased 7% in recent years. If today's price for a pizza is $14.95, how much was the original price
LenaWriter [7]

Answer:

13.90 dollars

Step-by-step explanation:

7 0
3 years ago
Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
adoni [48]

Step-by-step explanation

<h3>Prerequisites:</h3>

<u>You need to know: </u>

b^2 - 4ac = 0 \Rightarrow 1 solution

b^2 - 4ac > 0 \Rightarrow 2 solutions

b^2 - 4ac < 0 \Rightarrow No\ real\ solutions

----------------------------------------------------------------

2x^2-7x-9 = 0

b^2 - 4ac

-7^2 - 4(2)(-9) = 121

2 Solutions

---------------------------------------------------------------

x^2-4x+4 = 0

b^2 - 4ac

-4^2 - 4(1)(4) = 0

1 Solution

---------------------------------------------------------------

4x^2-3x-1 = 0

b^2 - 4ac

-3^2 - 4(4)(-1) = 25

2 Solutions

---------------------------------------------------------------

x^2-2x-8 = 0

b^2 - 4ac

-2^2 - 4(1)(-8) = 36

2 Solutions

---------------------------------------------------------------

3x^2+5x+3 = 0

b^2 - 4ac

5^2 - 4(3)(3) = -11

No Solutions

---------------------------------------------------------------


3 0
3 years ago
Read 2 more answers
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