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3 years ago

Evaluate the piece wise function

Mathematics

1 answer:

Zina [86]3 years ago

7 0

Answer:

Since x = -2

x satisfies the condition of x < 1

Hence, the output will be x + 3

-2 + 3

Option C is the correct option

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What is the greatest factor of 63 that is also a prime number?<br> 7<br> 9<br> 13<br> 21

Brums [2.3K]

Answer:

Step-by-step explanation:

Note the factors of each number. Prime numbers are numbers that can only be factored to itself and 1. Note:

Factors of 1:

Factors of 3:

1 , 3

Factors of 7:

1 , 7

Factors of 9:

1 , 3 , 9

Factors of 21:

1 , 3 , 7 , 21

Factors of 63:

1 , 3 , 7 , 9 , 21 , 63

6 0

3 years ago

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What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

4 years ago

Can someone help with this problem please? Thanks.

Zarrin [17]

First, find the slope of the line. Use the two points given, (-4,0) and (4,2), in the slope formula rise over run. The change in rise is 2 and the change in run is 8, meaning that the slope is 2/8, simplified to 1/4. The y-intercept is 1, shown by the graph and the dashed line and shaded area means that the inequality symbol must be <. Slope-intercept form is shown as y = mx + b, so after putting our information in to the equation the answer is y < 1/4x + 1. Hope this helps!

6 0

3 years ago

One month Ashley rented 2 movies and 5 video games for a total of $33. The next month she rented 8 movies and 3 video games for

Ray Of Light [21]

To answer this question, you should set up and equation before doing anything else. So for this question you 're going to set up two equations.

The first equation is 2x+5y=33

The second equation is 8x+3y=30

Once you do that you have to solve for either X or Y by canceling out the other one. In this problem figuring out the Y is easier because you can cancel the X's more easily than the Y. To cancel a variable, they have to add up to 0.

So to cancel the X you multiply the equation 2x+5y=33 by -4.

That gives you -8x-20y= -132

Then you set up the two equations and add them together.

(-8x-20y= -132) + (8x+3y=30)

That gives you -17y = -102

So then you solve for Y by dividing by -17. You find out that Y is equal to 6. Then you plug the 6 back into the ORIGINAL equations and solve for X, which turns out to be 1.5

Hope this helped and if you get confused or have questions please ask :)

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3 years ago

Answer right you get brainiest also 20 points just number 1 and 2

Klio2033 [76]

Answer:

1. Newton's law of gravitation. Newton's law of gravitation, statement that any particle of matter in the universe attracts any other with a force varying directly as the product of the masses and inversely as the square of the distance between them.

2. The key difference is that Newtonian gravity has a privileged separation of spacetime into space and time, whereas Einsteinian gravity just has spacetime. Edit: to be absolutely clear, Newtonian gravity can be written as spacetime curvature! This is counter to the common statements about the novel thing in GR.

Step-by-step explanation:

4 0

4 years ago

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