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ololo11 [35]
3 years ago
5

Which of the following does not lie on the graph of y = 2x - 2?

Mathematics
2 answers:
laila [671]3 years ago
6 0
(4,1) that's it i think but i did it good and i got that
swat323 years ago
5 0

Answer:

(\frac{1}{2},1) does not lie on the graph.

Step-by-step explanation:

Options given by you are (-\frac{1}{2}, -3), (\frac{1}{2}, 1) and (-1, -4)

Equation of the line is y = 2x - 2 and we will plug in the values to check whether these points lie on the line or not.

For ((-\frac{1}{2},-3)

-3 = -\frac{2}{2}-2

-3 = -1 - 2

-3 = -3

So this point lies on the line.

For (\frac{1}{2},1),

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

1 = 1- 2

1 = -1

But 1 ≠ -1

Therefore, the point (\frac{1}{2}, 1) lies on the line.

For (-1 , -4)

-4 = 2(-1) - 2

-4 = -2 - 2

-4 = -4

So this point lies on the line.

Therefore, (\frac{1}{2},1) doesn't lie on the graph of the line.

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Need help with radical expression!!! It’s asking for a set of all x where the expression is defined in interval form!
gayaneshka [121]

Answer:  (0, 25) ∪ (25, ∞)

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

The expression is undefined when the denominator is equal to zero and when the radicand (expression inside the radical) is less than zero.

Let's deal with the denominator first by finding the x-values that would make the denominator equal to zero (these are the values that will NOT be included in the interval notation)

x - 5√x = 0

x = 5√x          <em>added 5√x to both sides</em>

x² = 25x              <em>squared both sides</em>

x² - 25x = 0             <em>subtracted 25x from both sides</em>

x(x - 25) = 0                 <em>factored the quadratic equation</em>

x = 0   and   x - 25 = 0     <em>applied the Zero Product Property</em>

x = 0   and    x = 25              <em>solved for x</em>

<em />

So, x ≠ 0 and x ≠ 25

Next, let's deal with the radicand by setting the expressions inside the radicals to "greater than or equal to zero".

2√x   and   5√x     both have a radicand of x

x ≥ 0

Now, let's put it all together

x ≥ 0  and    x ≠ 0    and    x ≠ 25    

so, x is between 0 and ∞  but not including 0 or 25.

Interval Notation: (0, 25) ∪ (25, ∞)

Reminder that interval notation uses a bracket [ ] when the value is included and a parenthesis ( ) when the value is not included.  Infinity always uses a parenthesis since it is not an actual number.

6 0
3 years ago
Three times as many drinks on the tray
Rasek [7]

Answer:

Just multiply whatever number on the tray by three

Step-by-step Explanation:

For example if the number on the tray was 3 then you would multiply it by three

3 x 3 = 9

7 0
3 years ago
Let $f(x)$ be a quadratic polynomial such that $f(-4) = -22,$ $f(-1)=2$, and $f(2)=-1.$ Let $g(x) = f(x)^{16}.$ Find the sum of
Murrr4er [49]

Answer:

The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is  -4273411167.501

Step-by-step explanation:

The parameters given are;

f(-4) = -22

f(-1) = 2

f(2) = -1

g(x) = f(x)¹⁶

The function f(x) is presented as follows;

f(x) = a·x² + b·x +c

We have;

-22 = a·(-4)² + b·(-4) +c

-22 = a·16 - 4·b +c ..............(1)

2 = a·(-1)² + b·(-1) +c

2 = a - b +c...........................(2)

-1 = a·(2)² + b·(2) +c

-1 = 4·a + 2·b +c...................(3)

Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;

a = -1.5, b = 0.5, c = 4

Therefore, f(x) = -1.5·x² + 0.5·x + 4

f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;

656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.

3 0
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How is shading a grid to show 1 tenth different from shading a grid to show 1 hundredth?
soldier1979 [14.2K]
If you have a grid with a hundred units and you need to show 1 hundredth (or 1%) you shade in 1 unit. If you need to show a tenth (or 10%) you shade 10 Units. I would need a picture of the grid to help any further.
6 0
3 years ago
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Eduardwww [97]

Answer:

y=-x

Step-by-step explanation:

It's going left one by one, meaning the slope is negative and has a slope of -1 or -x.

3 0
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