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tatuchka [14]
3 years ago
6

Which of the following are solutions to the equation below? Check all that apply. 4x2 + 4x + 1 = 9​

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Answer:

4x^2 + 4x + 1=9

4x^2 + 4x - 8=0

Dividing both sides by 4

x^2 + x -2=0

It can be written as

x^2 + 2x - x - 2=0

x(x+2) -1(x+2)=0

taking (x+2) as common on LHS

Then, (x+2)(x-1)=0

Now first equate x+2=0  ie x=-2

then                 x-1=0 ie x=1

Therefore, x has two values(roots)

that is -2,1

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A bandleader randomly select's two students out of 100 bandmembers if you and your brother are both bandmembers what is the prob
kherson [118]
<span>There are 100 * 99 = 9900 different ways to choose two students out of 100 bandmembers. You and our brother are 2 of that ways: you being selected first and you being selected second. Therefore the probability that you two are selected is 2 / 9900 = 0,000202. You can also think as the probability of you being selected among 100 bandmembers, which is 1/100, times the probability of your brother being selected among 99 members, which is 1/99 => (1/100) * (1/99) = 1/ (100*99) = 1 / 9900; plus the same for your brother being selected first and you second => [1/9900] * 2 = 2/9900, which is the same calculated above.</span>
6 0
3 years ago
Let p denote the current market price for widgets and let x denote a quantity of widgets. The price per widget and the daily sup
natita [175]

Answer:

x = 52.00

Step-by-step explanation:

Given

Demand: p = 0.16x + 16

Supply: p -0.09x + 29

Required

Determine the equilibrium price

This is determined when Demand = Supply

So:

0.16x + 16 = -0.09x + 29

Collect Like Terms

0.16x + 0.09x = 29 - 16

0.25x = 13

Solve for x

x = 13/0.25

x = 52.00

<em>Hence; The equilibrium price is when x = 52.00</em>

6 0
3 years ago
Identify the constant in the following algebraic expression: 9 - z
sdas [7]

Answer:

9

Step-by-step explanation:

a number by itself is a constant.

6 0
3 years ago
Find the value of x?!??????
PilotLPTM [1.2K]

Answer:

x = 31

Step-by-step explanation:

Given:

MN = 20

PQ = x

RS = 42

Required:

Value of x

SOLUTION:

In a trapezoid, the midsegment length equals the sum of both bases divided by 2

This implies that:

PQ = ½(MN + RS)

Plug in the values

x = ½(20 + 42)

x = ½(62)

x = 31

3 0
3 years ago
Identify the constant of proportionality
Sveta_85 [38]

Answer:

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another.

Step-by-step explanation:

This k is known as the constant of proportionality.

3 0
3 years ago
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