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3 years ago

Which is true regarding the graphed function f(x)?

Mathematics

2 answers:

fomenos3 years ago

5 0

F(5)=-1

Thats it.................

vampirchik [111]3 years ago

5 0

Answer: Second option.

Step-by-step explanation:

By definition, a relation is a function if for each input value (value of x) there is an unique output value (value of y).

1) For $f(0)=3$ the input value is $x=0$ and the output value is $y=3$ , obtaining the point (0,3) which is not true for the function f(x) shown in the graph.

2) For $f(5)=-1$ the input value is $x=5$ and the output value is $y=-1$ , obtaining the point (5,-1) which is true for the function f(x) shown in the graph.

3) For $f(3)=2$ the input value is $x=3$ and the output value is $y=2$ , obtaining the point (3,2) which is not true for the function f(x) shown in the graph.

4) For $f(2)=-2$ the input value is $x=2$ and the output value is $y=-2$ , obtaining the point (2,-2) which is not true for the function f(x) shown in the graph.

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Some of the steps for completing the square to solve x2 + 5x = 2 are shown. x2 + 5x = 2 x2 + 5x + = 2 + Which are solutions of x

Rufina [12.5K]

The solutions would be +0.37 and -0.37.

When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:

x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25

Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87

Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37

We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.

4 0

3 years ago

Read 2 more answers

Suppose you can somehow choose two people at random who took the SAT in 2014. A reminder that scores were Normally distributed w

Sindrei [870]

Answer:

22.29% probability that both of them scored above a 1520

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1497, \sigma = 322$

The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1520 - 1497}{322}$

$Z = 0.07$

$Z = 0.07$ has a pvalue of 0.5279

1 - 0.5279 = 0.4721

Each students has a 0.4721 probability of scoring above 1520.

What is the probability that both of them scored above a 1520?

Each students has a 0.4721 probability of scoring above 1520. So

$P = 0.4721*0.4721 = 0.2229$

22.29% probability that both of them scored above a 1520

8 0

2 years ago

Help please (i pressed 0.09 by mistake)

Alja [10]

Answer:

The answer should be .25

Step-by-step explanation:

The answer should be .25 because:

- there are 4 places you can score and since you want it to land on 5 and there is only one 5 it counts as a 1

- the since there are 4 in total and you want to land on 1 you get 1/4 the number one standing for there only being one 5 and the 4 standing for the number of places to land on.

-then you convert the 1/4 into a decimal which makes .25

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3 years ago

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Find the value of x. The dot represents the center of the circle,<br>

djyliett [7]

Answer:

$x=16\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangle ABC and ADE are congruent triangles by SSS Theorem postulate

therefore

$x=8(2)=16\ units$

5 0

3 years ago

Can some one help me please

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Any number multiplied by zero is equal to zero. So if the product is zero, one factor must be zero. Since you already have a nonzero factor, the other must be zero.

8 0

3 years ago