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amm1812
3 years ago
15

graph the following functions to find how many points of intersection there are in y=(x+2)^2+3 and (x+2)^2+(y-2)^2=9

Mathematics
1 answer:
Finger [1]3 years ago
7 0

Refer to the image that I attached to my answer.

According to the graphing calculator, the two equations have two points of intersections (the points where the different colored lines cross).

Happy Studying~

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If 5 cans of baked beans cost $2.85, how<br> many cans of baked beans can be bought<br> for $19.38?
matrenka [14]

Answer:

34 cans. If you set it up as ratios (5/2.85 = x/19.38), make the number of cans you need to know "x" and solve for x.

6 0
3 years ago
If there is an 8.5% tax on a $30 sweater, what is the tax amount?
notsponge [240]

Answer:

$32.55

Step-by-step explanation:

Before Tax Price: $30.00

Sale Tax: 8.50% or $2.55

After Tax Price: $32.55

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What is the solution of the equation when solved over the complex numbers?
kumpel [21]

Answer:

x=+i\sqrt{20}\approx+4.472i

x=-i\sqrt{20}\approx-4.472i

Step-by-step explanation:

Starting from x^2+20=0, we do x^2=-20, which means x=\pm\sqrt{-20}, which can be written as x=\pm\sqrt{(-1)(20)}, which gives us x=\pm\sqrt{(-1)}\sqrt{(20)}, which we know is x=\pm i \sqrt{(20)}, so our solutions are:

x=+i\sqrt{(20)}

x=-i\sqrt{(20)}

Which can be approximated to:

x\approx+4.472i

x\approx-4.472i

3 0
3 years ago
Mary has a collection of nickels and quarters for a total value of 4.90.if she has 42 coins total how many of each kind are ther
Ray Of Light [21]

Let x be the number of nickels and y be the number of quarters.

Then, x + y = 42 --- (1)

It is given that total value = 4.90.

Therefore, 0.05x + 0.25y = 4.9 --- (2)

Multiply (1) by 0.25

0.25x + 0.25y = 10.5 --- (3)

Now, subtract (2) from (3), we get,

0.2x = 5.6

Divide both sides by 0.2.

x = 28

x + y = 42

y = 42 - x

= 42 - 28

= 14

Hence, Mary has 28 nickels and 14 quarters in total.

7 0
3 years ago
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