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DerKrebs [107]
2 years ago
8

What are the solutions to the system of equations graphed below?

Mathematics
2 answers:
Digiron [165]2 years ago
8 0

Answer: (2,0) (0,-4)

Step-by-step explanation:

Finger [1]2 years ago
7 0
You haven't provided the graph, therefore, I cannot give an exact answer.
However, I will help you with the concept.

A solution to a system of equations would be one or more order pairs that satisfy <u><em>ALL</em></u> equations given in the system.

<u>There are two ways to get the solution of a system of equations:</u>
<u>1- algebraically: </u>
This would be by solving the equations in the system simultaneously using elimination/substitution,...etc

<u>2- graphically:</u>
This would be by graphing all the equations given in the system and finding the points of intersection between the graphs.
<u>Note that:</u>
If the given system has two equations, then we need to find the point(s) of intersection between the two graphs
If the given system has three equations, then we need to find the point(s) of intersection between the three graphs

Therefore, for your question, all you have to do is find the point(s) of intersection between your graphs.

Hope this helps:)
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The first term of a geometric sequence is equal to a and the common ratio of the sequence is r.
ololo11 [35]

Answer: (a)  {a, ar, ar², ar³, ar⁴, ar⁵...}, (b)  arⁿ⁻¹

For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.  

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

4 0
3 years ago
Diane needs 165 pieces of candy to hand out to guests at a party she is hosting. Each bag of candy contains 20 pieces. She has 2
Debora [2.8K]
20x + 25 = 165

x represents the number of bags. You can solve the equation to make sure the answer is 7.

20x + 25 = 165

Subtract 25 from both sides.

20x = 140

Divide 20 off of both sides.

x = 7
5 0
3 years ago
3. The amount was $120 at 5% rate for 4<br> years.
Inga [223]

Answer:

Go to photo math thank me later

Step-by-step explanation:

dowload tha app on ur phone

5 0
3 years ago
Evaluate the expression:<br><br> for y = 2 + 3x when x=4. What does y=?
lora16 [44]

Answer:

y = 14

Step-by-step explanation:

Plug in 4 as x into the equation:

y = 2 + 3x

y = 2 + 3(4)

Simplify:

y = 2 + 12

y = 14

So, when x = 4, y = 14.

4 0
3 years ago
#11 and #13 geometry help please help need work shown as well !!
Trava [24]

Answer: In diagram (11) X = 30 degrees and Y = 60 degrees

In diagram (13) X = 20.55 degrees and Y = 69.45 degrees

Step-by-step explanation: What we have are two right angled triangles with two sides given in each case, therefore we can calculate the two unknown angles (since the third angle equals 90 degrees).

For the second triangle (number 13) we shall use Y as the reference angle. That means we have an opposite (the side facing the reference angle) which is 24 and we have an adjacent (the side that lies between the right angle and the reference angle) which is 9. Hence,

Tan Y = opposite/adjacent

Tan Y = 24/9

Tan Y = 2.6667

Checking with your calculator or table of values, 2.6667 = 69.45

Having two angles, which are 90 and 69.45, the third angle X can be computed as

X = 180 - (90 + 69.45)

Sum of angles in a triangle equals 180

X = 180 - 159.45

X = 20.55 and Y = 69.45

For the first triangle (number 11) we shall use X as the reference angle. We have two sides, the opposite (the side facing the reference angle) which is 3, and the hypotenuse (side facing the right angle) which is 6. Hence,

Sin X = opposite/hypotenuse

Sin X = 3/6

Sin X = 0.5000

Checking with your calculator or table of values,

X = 30 degrees.

Also, now that we have two angles we can easily compute the third angle as follows

Y = 180 - (90 + 30)

Sum of angles in a triangle equals 180

Y = 180 - 120

Y = 60

X = 30 and Y = 60

4 0
3 years ago
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