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Elena-2011 [213]
3 years ago
14

How many solutions does the nonlinear system of equations graphed below have?

Mathematics
1 answer:
igomit [66]3 years ago
7 0
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
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Find the roots 7x^2 + 46 = 32
Reika [66]

Answer:

i\sqrt{2} (or no solution if you haven't learned about imaginary numbers yet)

Step-by-step explanation:

The first thing you want to do is isolate x, or get x alone.

7x²+46=32

=> 7x²+46-46=32-46

=>7x²=-14

=>7x²÷7=-14÷7

=>x²=-2

If you have learned about imaginary numbers read on. If not, you have to realize that squaring any number can't result in a negative number. This means that there is no solution.

If you have learned about imaginary numbers, read on.

Now that you have x^2=-2, you can take the square root of both sides.

x=\sqrt{-2}

Using a property about square roots (I don't know what it's called)

the equation becomes:

x=\sqrt{-1}\sqrt{2}

And since \sqrt{-1}=i, you can substitute in this value in to get x=i\sqrt{2}.

4 0
3 years ago
How do i find what does z equals in 4z-11>1
bixtya [17]

Answer:

z=

4z−11>1=

Step-by-step explanation:

4 0
3 years ago
Which expression can be used to find 20 percent of 90
bixtya [17]

Answer:

18

Step-by-step explanation:

1) 90 --- 100%

    x ---   20%

x = 90*20/100 = 18

2)

20 % = 20/100 = 0.2

20 percent (0.2)  of (*) 90 = 0.2*90 = 18

3 0
3 years ago
How many times can a quart bottle be filled from a gallon jug?
yarga [219]

Answer:

Step-by-step explanation:

5

3 0
3 years ago
Read 2 more answers
A car is manufactured for a cost of $12,500. The dealership purchases the car and puts a markup of 67% on the car. The car is pu
Naya [18.7K]
<h3>Answer:</h3>
  1. $12,500 — dealer cost
  2. $20,875 — owner cost
  3. $5385.75 — owner's selling price
<h3>Step-by-step explanation:</h3>

The problem statement is missing a lot of information, so we'll make some assumptions:

  • the cost of manufacture is the dealer's cost
  • the markup percentage uses the dealer's cost as a base
  • the car is purchased for the marked price in each case.

1. The dealer's cost is the cost of manufacture: $12,500.

2. The marked-up price is

  $12,500 + 0.67×12,500 = $20,875.

3. The book value after 8 years is

  $20,875 - 0.57×20,875 = $8976.25

So, the Craigslist price is

  0.60×$8976.25 = $5385.75

4 0
3 years ago
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