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Alecsey [184]
3 years ago
5

You want to buy a pizza with 2 toppings. The restaurant offers five possible toppings. How many ways can you choose 2 toppings?

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

Answer:its 20

Step-by-step explanation:

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PLEASE I NEED THE SLOPE OF THE RED LINE AND THE BLUE LIKE BY NOW!!!!
netineya [11]
Red line slope=3/4
Blue line slope=2/3
3 0
3 years ago
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Determine if the equation below is a function with independent variable x. If so, find the domain. If not, find a value of x to
Andre45 [30]

Answer:

No because it contains points (3,4) and (3,-4).  You cannot have a x assigned to more than one y-value if you want it to be a function.

Step-by-step explanation:

A function has one output per input.

If we are trying to determine if the given is a function of x, then x is the input.

However I can get two outputs from plugging in x=3.

3^2+y^2=25

9+y^2=25

Subtract 9 on both sides:

y^2=25-9

y^2=16

Take the square root of both sides:

y=\pm \sqrt{16}

y=\pm 4.

So input x=3 yields y=4 and y=-4.

Since this input has more than one output then the given is not a function of x.

----Also!

If you graph the equation, it is a circle with radius 5 and center (0,0). So I could I plug in any number for x between -5 and 5 excluding -5 and 5 which would yield only one output each. Since plugging in either one gives:

(\pm 5)^2+y^2=25

25+y^2=25

Subtract 25 on both sides:

y^2=25-25

Simplify:

y^2=0

There is only one value y such that when you square it gives you 0. That is 0.

x=5 only gives y=0 and x=-5 only gives y=0.

There is no circle, unless it is a circle with radius 0 which means it really wouldn't be a circle, that is a function.

8 0
3 years ago
Simplify the following fraction (9/16/1/4)-1/5
german

Answer: \frac{41}{20}

Step-by-step explanation:

The first step is to make the division of the fractions \frac{9}{16} and

\frac{1}{4}. To do this, you can flip the fraction \frac{1}{4} over and multiply the numerators and the denominators of the fractions. Then:

(\frac{\frac{9}{16}}{\frac{1}{4}})-\frac{1}{5}=(\frac{9}{16}*4)-\frac{1}{5}=\frac{36}{16}-\frac{1}{5}

Reduce the fraction \frac{36}{16}:

 =\frac{9}{4}-\frac{1}{5}

Now you can make the subtraction:  in this case the Least Common Denominator (LCD) will be the multiplication of the denominators.   Divide each denominator by the LCD and multiply this quotient by the corresponding numerator and then subtract the products. Therefore you get:

=\frac{45-4}{20}=\frac{41}{20}

6 0
3 years ago
Solve the equation x^2 - 4x + 6 = 9 by completing the square.
tatuchka [14]

Hello!

x² - 4x + 6 = 9 <=>

<=> x² - 4x + 6 - 9 = 0 <=>

<=> x² - 4x - 3 = 0 <=>

<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>

<=> x = 4±√16+12/2 <=>

<=> x = 4±√28/2 <=>

<=> x = 4±2√7/2 =>

=> x = 4+2√7/2 and x = 4-2√7/2 =>

=> x = 2+√7 and x = 2-√7

The equation has two solutions.

Good luck! :)

7 0
3 years ago
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What is the percentage change ? 54 decreased to 32?
Dimas [21]

Answer:

21

Step-by-step explanation:

4 0
2 years ago
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