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vfiekz [6]
3 years ago
7

What are the solutions of the quadratic equation? 2 x 2 – 16 x + 32 = 0

Mathematics
2 answers:
shusha [124]3 years ago
5 0

Answer: x = 4 twice

Step-by-step explanation:

The given quadratic equation is expressed as

2x^2 - 16x + 32 = 0

Dividing the left hand side and the right hand side of the equation by 2, it becomes

x^2 - 8x + 16 = 0

We would find two numbers such that their sum or difference is -8x and their product is 16x^2. The two numbers are - 4x and - 4x. They,

x^2 - 4x - 4x + 16 = 0

x(x - 4) - 4(x - 4) = 0

x - 4 = 0 or x- 4 = 0

x = 4 twice

Evgen [1.6K]3 years ago
3 0

Answer:

4 - 16 x + 32 = 0

- 16 x = - 4 - 32

- 16 x = - 36

X = 2.25

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Rzqust [24]
Y=kx is the direct variation equation
First plug in the x, y values given to find K
18=k(5)
18/5=k
3.6 = k
Use the k and write a new equation.
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Plug in the x value to solve for y.
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7 0
2 years ago
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

5 0
1 year ago
Solve the system of equations using the substitution method.
Karolina [17]
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First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
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Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.

Substitute (2) into (1).
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Expand.
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Group.
19x + 45 = 7

Shift +45 to the other side and turn it into -45.

19x = 7 - 45
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Shift x19 to the other side, turn it into /19.
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y = 3(-2) + 9
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So, the answers are
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PIT_PIT [208]

Answer:

B

Step-by-step explanation:

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