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frozen [14]
3 years ago
10

The function g is defined by the following rule. g(x)=5x-4 complete the function table

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0
(-4,-24) (-1,-9) (1,1) (2,6) (4,16)

Valentin [98]3 years ago
3 0
<h2>Answer:</h2>

The table is given as follows:

           x               g(x)

          -4               -24

          -1                 -9

           1                   1

           2                  6

           4                  16    

<h2>Step-by-step explanation:</h2>

The function g is terms of the variable x is given by:

                  g(x)=5x-4

i.e. the function g(x) is a linear function.

Now, we are asked to complete the table of the function for different values of x.

when x= -4 we have:

g(x)=5\times (-4)-4\\\\i.e.\\\\g(x)=-20-4\\\\g(x)=-24

when x= -1 we have:

g(x)=5\times (-1)-4\\\\i.e.\\\\g(x)=-5-4\\\\g(x)=-9

when x= 1 we have:

g(x)=5\times (1)-4\\\\i.e.\\\\g(x)=5-4\\\\g(x)=1

when x= 2 we have:

g(x)=5\times (2)-4\\\\i.e.\\\\g(x)=10-4\\\\g(x)=6

when x= 4 we have:

g(x)=5\times (4)-4\\\\i.e.\\\\g(x)=20-4\\\\g(x)=16

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WILL MARK BRAINLIEST!!!PLZ HELP!!!
Andrei [34K]

Answer:

Step-by-step explanation:

Hello,

<em>"Ray says the third-degree polynomial has four intercepts. Kelsey argues the function can have as many as three zeros only."</em>

We know that Kelsey is right, a polynomial of degree 3 has maximum 3 zeroes, so it means that the graph of this polynomial has maximum 3 x-intercepts.

<u>So how Ray can be right too?</u>

we need to think of y-intercept, if we add the y-intercept then Ray can be right too,

as you can see in one example below

there are 3 x-intercepts and 1 y-intercept.

This being said, Ray is not always right. For instance x^3

has only 1 zero (multiplicity 3) its graph has only 1 intercept in the point (0,0)

hope this helps

6 0
3 years ago
3. (05.06 MC)
AveGali [126]

Answer:

Step-by-step explanation:

y > 3x + 10

y < -3x - 1

<h3> Part A:</h3>

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.  

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph.  Use a dashed line (because of the ">" symbol).  

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).  

Pick a test point on either side of the boundary line and plug it into the original problem.  This will help determine which side of the boundary line is the solution.  Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.  

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).  

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).  

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.  

<h3>Part B: </h3>

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.  

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).  

y < -3x - 1  

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).  

Therefore, (8, 10) is not a solution to the system.    

8 0
3 years ago
3^4x+^2=9^x+^2. what is the value of x?​
klemol [59]

Answer:

x = 1

Step-by-step explanation:

3^(4x + 2) = 9^(x + 2)

Make 9 with base 3.

3^(4x + 2) = (3^2)^(x + 2)

3^(4x + 2) = 3^(2x + 4)

Cancel bases.

4x + 2 = 2x + 4

Subtract 2 and 2x on both sides.

4x - 2x = 4 - 2

2x = 2

Divide 2 on both sides.

x = 1

5 0
4 years ago
2(x-6)+5=-5<br>75=27+3(3t-2)<br>-2/3(6c-9)+x=-18
anyanavicka [17]

Answer:

{c = 25/4

{t = 6

{x = 1

Step-by-step explanation:

Solve the following system:

{2 (x - 6) + 5 = -5 | (equation 1)

{75 = 3 (3 t - 2) + 27 | (equation 2)

{x - 2/3 (6 c - 9) = -18 | (equation 3)

Express the system in standard form:

{0 c+0 t+2 x = 2 | (equation 1)

{0 c - 9 t+0 x = -54 | (equation 2)

{-(4 c) + 0 t+x = -24 | (equation 3)

Swap equation 1 with equation 3:

{-(4 c) + 0 t+x = -24 | (equation 1)

{0 c - 9 t+0 x = -54 | (equation 2)

0 c+0 t+2 x = 2 | (equation 3)

Divide equation 2 by -9:

{-(4 c) + 0 t+x = -24 | (equation 1)

{0 c+t+0 x = 6 | (equation 2)

{0 c+0 t+2 x = 2 | (equation 3)

Divide equation 3 by 2:

{-(4 c) + 0 t+x = -24 | (equation 1)

{0 c+t+0 x = 6 | (equation 2)

{0 c+0 t+x = 1 | (equation 3)

Subtract equation 3 from equation 1:

{-(4 c)+0 t+0 x = -25 | (equation 1)

{0 c+t+0 x = 6 | (equation 2)

{0 c+0 t+x = 1 | (equation 3)

Divide equation 1 by -4:

{c+0 t+0 x = 25/4 | (equation 1)

{0 c+t+0 x = 6 | (equation 2)

{0 c+0 t+x = 1 | (equation 3)

Collect results:

Answer: {c = 25/4

{t = 6

{x = 1

4 0
3 years ago
The question is in the picture ​
SSSSS [86.1K]
I’m pretty sure it’s 16 sorry if I counted wrong.
5 0
3 years ago
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