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3 years ago

If the equation of the line y = 2x - 6 is changed to y = -2x - 6, how is the graph changed?

Mathematics

2 answers:

raketka [301]3 years ago

7 0

The line is reflected over the x axis

-Dominant- [34]3 years ago

4 0

Answer:

from sloping up to sloping down ⇒ answer D

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

function g(x) = f(-x)

* Now lets solve the problem

∵ The equation of the line is y = 2x - 6

∵ The equation is changed to y = -2x - 6

- If the both signs of x and the number are changed means the

equation is multiplied by -1

∴ The line is reflected across the x-axis

- If the sign of x only is changed

∴ The line is reflected across the y-axis

- From the equation 2x changed to -2x, but -6 not changed

∴ The sign of x only changed

∴ The line is reflected across the y-axis

* The graph is reflected across the y-axis

∴ from sloping up to sloping down

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Please help! .........

stira [4]

Answer:

1) When x is 1, y is 4, and vice versa

2) When x is -6, y is 42, and when x is 7, y is 114

3) When x is -2, y is 2, and when x is 8, y is 42

Step-by-step explanation:

$y=x^2-6x+9$

$y+x=5$ which can be rearranged as $y=5-x$ .

Substituting this lone y into the first equation, you get:

$5-x=x^2-6x+9$

Move everything to one side:

$x^2-5x+4=0$

Factor:

$(x-4)(x-1)=0$

$x=1, 4$

$y=4, 1$

$y-30=12x$ which can be rearranged as $y=12x+30$ .

$y=x^2+11x-12$

Let's use elimination this time and subtract the first equation from the second:

$0=x^2-x-42$

Factor:

$(x-7)(x+6)=0$

$x=-6, 7$

$y= -42, 114$

$y=x^2-2x+6$

$y=4x+10$

Let's set the two equations equal to each other through substitution:

$x^2-2x-6=4x+10$

Move everything to one side:

$x^2-6x-16=0$

Factor:

$(x-8)(x+2)=0$

$x=-2, 8$

$y= 2, 42$

Hope this helps!

6 0

2 years ago

NEED HELP 10 POINTS

leonid [27]

48.8 megabytes. When the download is 17.5% complete, have been downloaded 48.8 megabytes.

The key to solve this problem is using the rule of three.

If 279Mb -------------> 100%

x <------------- 17.5%

x = [(279 megabytes)(17.5)]/100

x = 48.825 megabytes

Round to the nearest tenth 48.8 megabytes.

6 0

3 years ago

A study was conducted looking at the association between the number of polyps in the colon and mean grams of fiber consumed per

rewona [7]

Answer:

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Explanation:

The following multiple choice responses are provided to complete the question:

A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).

B) The Pearson correlation results should be reported because the two variables are normally distributed.

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.

Further Explanation:

A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed. Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

8 0

3 years ago

Which of the following best represents the speed of Halley's comet when it is nearest to Earth?

Tasya [4]

I believe it would be A but i could be way off

8 0

3 years ago

Read 2 more answers

Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle i

konstantin123 [22]

Answer:

the answer is the option C

m∠2 = 99° and m∠4 = 99°

Step-by-step explanation:

edg 2020

5 0

3 years ago