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notsponge [240]
3 years ago
13

The sets

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0
The sets
D
and
G
are given below.
=D, f, gk

=G, c, dj
Find the intersection of
D
and
G
.
Find the union of
D
and
G
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Which represents the solution(s) of the graphed system of equations, y = –x2 + x + 2 and y = –x + 3?
cupoosta [38]

For this case we have the following system of equations:

y = -x ^ 2 + x + 2\\y = -x + 3

We observe that we have a quadratic equation and therefore the function is a parabola.

We have a linear equation.

Therefore, the solution to the system of equations will be the points of intersection of both functions.

When graphing both functions we have that the solution is given by:

x = 1\\y = 2

That is, the line cuts the quadratic function in the following ordered pair:

(x, y) = (1, 2)

Answer:

the solution (s) of the graphed system of equations are:

(x, y) = (1, 2)

See attached image.

3 0
4 years ago
Read 2 more answers
Factoring when a=1 with and without a GCF<br> What is x2+4x-117
quester [9]

Step 1: Make sure that the trinomial is written in the correct order; the trinomial must be written in descending order from highest power to lowest power.

Step 2 : Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

Step 3 : Multiply the leading coefficient and the constant, that is multiply the first and last numbers together.

Step 4 : List all of the factors from Step 3 and decide which combination of numbers will combine to get the number next to x.

Step 5 : After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3.

Step 6 : Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5.

Step 7 : Now that the problem is written with four terms, you can factor by grouping.


4 0
3 years ago
“Two lines in a plane always intersect in exactly one point.”
arsen [322]
The answer is B.
Parallel lines as they are in the same plane but never meet.
3 0
3 years ago
What is the area of the parallelogram?
NNADVOKAT [17]

Answer: D

Step-by-step explanation:

5x6=30

3 0
4 years ago
Read 2 more answers
The city center parking garage charges $3.50 for the first hour and $1.25 for each additional half hour how much would it cost t
cupoosta [38]

Answer:

$7.25

Step-by-step explanation:

First hour=3.50

still have 1 1/2 hours left =3 half hours

1.25x 3=3.75

3.50+3.75=7.25

6 0
3 years ago
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