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zhuklara [117]
3 years ago
8

Consider the curve given by the implicit equation x 3 − 4xy + y 2 = 0. (a) find all points (a,

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0
If you download Photomath and scan your question it will give u the answer;)
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Margo brought 7 pens from a book store some pens cost $3.00 EACH and the rest cost $4.00 . If she paid a total of 23.00 for the
Montano1993 [528]

Answer:

5

Step-by-step explanation:

Margo bought 7 pens for $23.

Some pens are $3 and some $4.

We need to find how many $3 pens she bought.

Let the number of $3 pens be represented by p and let the number of $3 pens be represented by r. So:

p = $3  and r = $4

Now we know 7 pens were purchased so is we add the number of $3 pens purchased to the number of $4 pens purchased, we will get 7.

p + r = 7

We know that the total cost of the pens is $23 so that equation would be found by takign the $3 pen multiplied by the number of $3 pens purchsed added to the $4 pen multiplied by the number of $4 pens purchsed, which equals $23.

$3p + $4r = $23

Now we have 2 equations and 2 unknowns.

p + r = 7

$3p + $4r = $23

Let's solve for r in the first equation.

p + r = 7     Subtract p from both sides.

p - p + r = 7 - p   The p on the left cancels.

r = 7 - p

Now that we know r, we can substitute it into the second equation and solve for p.

$3p + $4r = $23

3p + 4( 7 - p) = 23       Multiply it out.

3p + 4*7 - 4*p = $23

3p + 28 - 4p = 23      Combine like terms.

3p  - 4p + 28 = 23

- 1p + 28 = 23       Subtract 28 from both sides.

- p + 28 - 28 = 23 - 28  

- p = - 5   Divide each side by -1

- p/- 1 = - 5/ - 1       The negative cancels on each side.

p = 5

We can see Margo bought 5 $3 pens.

For fun, let's solve for how many $4 pens she bought. We know p, so we plug it in the first equation and solve for r.

p + r = 7

5 + r = 7  Subtract 5 from each side

5 - 5 + r = 7 - 5

r = 7 - 5

r = 2

So Margo bought 5 $3 pens and 2 $4 pens!

8 0
2 years ago
ASAAPPPPPP!!!!! Complete the tables of values
velikii [3]

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

a^{-m} ⇔ \frac{1}{a^{m} } and a^{0} = 1

Substitute the values of x into 4^{-x}

x = 0 → 4^{0} = 1 ⇒ a = 1

x = 2 → 4^{-2} = \frac{1}{4^{2} } = \frac{1}{16}, hence

b = \frac{1}{16}

x = 4 → 4^{-4} = \frac{1}{4^{4} } = \frac{1}{256}, hence

c = \frac{1}{256}

6 0
3 years ago
The perimeter of a​ standard-sized rectangular rug is 28 ft. the length is 2 ft longer than the width. find the dimensions.
Solnce55 [7]
28=(2+x)+x
-2  -2
_________
26=x+x
26=2x
Divide both by 2
13=x
length=15 width=13
5 0
3 years ago
[GIVING BRANLIEST]
My name is Ann [436]
Answer : C
Explanation:
7 0
3 years ago
Shele bought a box of eggs. She wrote this equation to show the number of eggs in one box. e = 6 If Shele bought 4 boxes of eggs
dangina [55]
The equation e = 6 tells you for each box, e, there are 6 eggs. If she bought 4 boxes, you would be multiplying the number of boxes, 4, by e. That means:
4 x e 

Now you need to set 4 x e equal to the total number of eggs she has now. Since you know e = 6 eggs, plug in 6 into 4 x e!
4 x e = ?
4 x 6 = 24

That means you complete equation is:
4 x e = 24

-----

Answer: <span>A) 4 × e = 24</span>
5 0
3 years ago
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