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shusha [124]
3 years ago
8

3. For each equation, determine if x=2 is a solution. Explain or show your reasoning. Select ALL of those where the x can equal

2. 2 points -2(x - 4) = 4 26/x = 13 - 3.8x = -7.4 4(x - 1) - 3(x - 2) = -8
Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

Answer:

26/x = 13

x = 2

Step-by-step explanation:

2(x - 4) = 4

2x - 8 = 4

2x = 4 + 8

2x = 12

x = 12/2

x = 6

26/x = 13

Cross product

26 = x * 13

26 = 13x

x = 26/13

x = 2

- 3.8x = -7.4

x = -7.4 / -3.8

x = 1.95

4(x - 1) - 3(x - 2) = -8

4x - 4 - 3x + 6 = -8

x + 2 = -8

x = -8 - 2

x = -10

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What must be a factor of the polynomial function fx) graphed on the coordinate plane below?
Reptile [31]

See in the explanation

<h2>Explanation:</h2>

Hello! Recall that you need to write complete questions in order to get good and precise answers. However, I'll try to explain this problem in a general way. The definition of polynomial functions states:

A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0

Suppose we have the following polynomial function:

f(x)=x^3+x^2-8x-12

If (x-3) is a factor of this polynomial function, we can write f(x) as:

f(x)=\left(ax^2+bx+c\right)\left(x-3\right)

In whose case:

f(3)=0

Evaluating x=3

f(x)=x^3+x^2-8x-12 \\ \\ f(3)=3^3+3^2-8(3)-12 \\ \\ f(3)=27+9-24-12 \\ \\ f(3)=32-32 \\ \\ f(3)=0

So in conclusion:

(x-3) \ is \ a \ factor \ of \ f(x)=x^3+x^2-8x-12

The graph is shown below and is consistent with our conclusion.

<h2>Learn more:</h2>

Complex zeros: brainly.com/question/13728954

#LearWithBrainly

8 0
3 years ago
Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4
Nady [450]

Answer:

18.88% probability that three or four customers will arrive during the next 30 minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Average rate of 6.4 per 30 minutes.

This means that \mu = 6.4

What is the probability that three or four customers will arrive during the next 30 minutes?

P = P(X = 3) + P(X = 4)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 3) = \frac{e^{-6.4}*(6.4)^{3}}{(3)!} = 0.0726

P(X = 4) = \frac{e^{-6.4}*(6.4)^{4}}{(4)!} = 0.1162

P = P(X = 3) + P(X = 4) = 0.0726 + 0.1162 = 0.1888

18.88% probability that three or four customers will arrive during the next 30 minutes

4 0
4 years ago
There are 3 boys and 2 girls in the krunch family. mr. krunch brought 3 1/2 pounds of candy to divide equally among them. how mu
aleksandr82 [10.1K]
Convert 3 1/2 half to a fraction. that's 7/2 
<span>To divide the five kids into 7/2, you make them into a fraction- 10/2 </span>
<span>Now invert one of them and multiply </span>

<span>7/2 times 2/10= 14/20 </span>
<span>Now simplify- 7/10</span>
6 0
3 years ago
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Elza [17]
So you can round 3.9 to 4, and 5.3 to 5. so 4x5=20. there would then be 2 digits in front of the decimal point. (:
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3 years ago
Question is shown below, please help!
Reika [66]
I think it -4 hope this helps
7 0
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