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KIM [24]
3 years ago
9

Which table represents a linear function?

Mathematics
2 answers:
allsm [11]3 years ago
4 0

Answer:

Graph One.

Step-by-step explanation:

See below. The graph is in a straight line, also known as linear. The other graphs are not. Also, if you look at the range (y) of the tables, you can see the increase is linear as it is increasing by .5 (1/2) everytime.

Vera_Pavlovna [14]3 years ago
4 0

ANSWER

First table.

EXPLANATION

The table that represents a linear function has a constant difference in both the x-values and the y-values.

As for the x-values, there is a constant difference of 1 for all the tables.

From, the first table, we can see that, the difference in y-values is:

1 -  \frac{1}{2}  = 1 \frac{1}{2}  - 1 = 2 - 1 \frac{1}{2}  =  \frac{1}{2}

For the second table,

\frac{1}{2}  - 1 \ne \frac{1}{3}  -  \frac{1}{2}

The third table too,

13 - 9 \ne \: 9 - 7

The fourth table too,

16 - 6 \ne6 - 0

Hence the choice is the first table.

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Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

            =0.79\times0.21\times0.79\\=0.131061\\\approx0.1311

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

            =0.79\times0.79\times0.21\\=0.131061\\\approx0.1311

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

7 0
3 years ago
What is the common ratio for the geometric sequence?
Helen [10]
Note this pattern:  Mult. 24 by (-1/4) produces -6.
                              Mult -6 by (-1/4) produces 6/4 = 3/2
                             Mult. 3/2 by (-1/4) produces 3/8

Looks as though you copied the problem down incorrectly.  You wrote 32 for 3/2 and -38 for -3/8.

The common ratio is -1/4.

5 0
3 years ago
Read 2 more answers
hannah travels 6 times as many to work as raoul does together they travel 633 minutes how many does hannah travel
musickatia [10]
The answer is 3798 ............
5 0
3 years ago
Select all the correct answers.
sukhopar [10]

Answer:

Second point (-5/2, -7/2)

First point (3/2, 17/2)

Step-by-step explanation:

We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.

4x2+ 7x -11=y

3x+4=y

Lets use substitute method

4x2+7x-11=3x+4

This can be re arrange as the following eq:

4x2+4x-15=0

A quadratic equation, its solution can be obtained using the below eq.

x=\frac{-b+/- \sqrt{x^{2}-4ac } }{2a}

where a=4, b=4, c=-15.

Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.

By doing the above, we have x=-5/2 and x=3/2

By using x=3/2 in equation of line (3x+4=y)  we have y=17/2

First point (3/2, 17/2)

By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2

Second point (-5/2, -7/2)

Those points are the ones where the line and the parabola intercept.

7 0
3 years ago
Ellis can spend up to $40 for gasoline and a carwash at a service station. The carwash will cost $6.00, and gasoline costs $4.50
natta225 [31]

Solving the inequality for g

Move the 6 over by subtraction and you have:

4.5g ≤ 34

Then divide each side by 4.5

g = 7.55555

So Ellis can purchase at lease 7 gallons but not 8  (D)

5 0
3 years ago
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