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solniwko [45]
2 years ago
5

3 groups of a number plus 2

Mathematics
1 answer:
nikklg [1K]2 years ago
4 0
X times x times x +2
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What is the x intercept od this piecewise function? A) (0,2) B) (2,0) C) (0,4) D) (4,0)​
Arte-miy333 [17]

Answer: Choice B) (2,0)

======================================

Set the first piece equal to zero and solve for x

x^2 - 4 = 0

x^2 = 4

x = sqrt(4) or x = -sqrt(4)

x = 2 or x = -2

Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.

----------

Set the second piece equal to zero and solve for x

x-2 = 0

x-2+2 = 0+2

x = 2

We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.

The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.

The graph below shows this.

side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.

4 0
4 years ago
The length of the major axis of the ellipse below is 10 What is the sum of the lengths of the red and blue line segments? A. 10
likoan [24]

Answer:

A. 10

Step-by-step explanation:

As we know that

The length of the major axis of the ellipse is 10

i.e

2 a = 10

Also, the ellipse is the curve that consists of 2 focal points  in order that the total of the distance to the 2 focal points would remain constant for each and every point displayed in the curve

Now we assume that P is the curve point

So,

PF1 + PF2

i.e

2 a (blue line) + (red line)

2 a = 10

Therefore the sum of the length is 10

3 0
3 years ago
Would 21/48 need to be simplified?
ludmilkaskok [199]
Hello there! Yes. 21/48 would have to be simplified to get a simpler fraction. Keep in mind that whatever you do to the numerator, you must do to the denominator. If you write out the factors for each of the number, you see that they both have a factor of 3. We can divide both sides by 3 to get 7/16. We can't divide that fraction anymore, so 7/16 is a fraction in simplest form.
6 0
3 years ago
How many solutions exist for the system of equations on the graph?
mrs_skeptik [129]

Answer:

<u>Two</u>

============================

Step-by-step explanation:

The solution for any system of equations is the intersection points between the graph that representing the system of equation.

So, for the given system of equation, we have  a circle and a parabola.

As shown in the figure, The circle and parabola are intersects at two points

So, there are two solutions for the system of equations on the graph.

So, The answer is option two.

4 0
3 years ago
Read 2 more answers
Lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and solve a p
mina [271]
26x7= 183 sq ft. 182/350=.52 gallons of paint
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4 years ago
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