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Katyanochek1 [597]
3 years ago
8

at a class pizza party each pizza ordered had 2/8 of the pizza left over after the party. In all, 1 1/2 pizzas were left over. H

ow many pizzas were ordered
Mathematics
1 answer:
tatuchka [14]3 years ago
4 0
Simplify 2/8
2/8=1/4

1/4 of all pizzas=1 and 1/2 pizza
convert to improper
1 and 1/2=1+1/2=2/2+1/2=3/2
1/4 of all pizzas=3/2 pizza
times both sides by 4/1
4/4 of all pizzas=12/2 pizza
all pizzas=6pizza


6pizzas were orderd
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(That is, for a quadratic ax^2+bx+c, the discriminant is b^2-4ac.)

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(2m+4)^2-4(4-m)(8m+1)=0

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2 years ago
Which table shows a function whose range has exactly three elements
Rudik [331]
<h2>Answer:</h2>

The table which shows that a function's range has exactly three elements is:

         x      y

         3      8

        4      6

        5      12

        6       8

<h2>Step-by-step explanation:</h2>

<u>Domain of a function--</u>

The domain of a function is the set of all the x-values i.e. the value of the independent variable for which a function is defined.

<u>Range of a function--</u>

It is the set of all the y-value or the values which are obtained by the independent variable i.e. the values obtained by the function in it's defined domain.

a)

     x      y

     1      4

     2      4

     3       4

Domain: {1,2,3}

Range: {4}

Hence, the range has a single element.

b)

     x      y

     3      8

     4      6

     5      12

     6       8

Domain: {3,4,5,6}

Range: {6,8,12}

Hence, the range has three element.

c)

     x      y

     0     5

     2      9

     0      15

This relation is not a function.

because 0 has two images.

0 is mapped to 5 and 0 is mapped to 15.

d)

     x      y

     1      4

     3     2

    5      1  

    3      4

This relation is not a function.

because 3 has two images.

3 is mapped to 2 in the ordered pair (3,2) and 3 is mapped to 4 in the ordered pair (3,4)

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All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.

Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
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Step-by-step explanation:

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