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Anuta_ua [19.1K]
2 years ago
15

If f(x) is shifted 4 units to the left and 6 units up, what is the equAation of the resulting graphs

Mathematics
1 answer:
irina1246 [14]2 years ago
4 0

Answer:

f= (x-4, y+6) or f= (x-4),(y+6)

Step-by-step explanation:

* when you move to the left you are subtracting from x because eventually you'll get to the negatives, if you were going to the right you would add

* going up from y, you would be adding since the further up you go the higher positive number you'll get, if you were going down it would be subtracting from y

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A stadium has 50,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Sect
Pepsi [2]

Answer:

Section A holds 25,000 seats, section B holds 14,500 seats and section C holds 10,500 seats.

Step-by-step explanation:

From the information given you can write the following equations:

A+B+C=50,000 (1)

28A+24B+20C=1,258,000 (2)

A=B+C (3)

A= number of seats in section A

B= number of seats in section B

C= number of seats in section C

You can replace (3) in (1) and (2) to get two equations:

B+C+B+C=50,000

2B+2C=50000

28(B+C)+24B+20C=1,258,000

28B+24B+28C+20C=1,258,000

52B+48C=1,258,000

The two equations are:

2B+2C=50000 (4)

52B+48C=1,258,000 (5)

You can isolate B in (4):

2B=50,000-2C

B=(50,000/2)-(2C/2)

B=25,000-C

Now, you can replace B in (5):

52(25,000-C)+48C=1,258,000

1,300,000-52C+48C=1,258,000

1,300,000-1,258,000=4C

42,000=4C

C=42,000/4

C=10,500

Now, you can replace the value of C in B=25,000-C:

B=25,000-10,500

B=14,500

Finally, you can replace the values of B and C in A=B+C to find A:

A=14,500+10,500

A=25,000

According to this, the answer is that section A holds 25,000 seats, section B holds 14,500 and section C holds 10,500.

6 0
3 years ago
The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?
Andrews [41]

Answer:

a_{200}=418

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

a_n=20+(n-1)2 ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418

So, the 200th term of the sequence is 418.

7 0
2 years ago
Line DCE is parallel to line AB
krek1111 [17]

Answer:

Angle DCA = Angle CAB. (Alternate Interior Angle)

Angle DCA = 68°

Angles(DCA + ACB + BCE) = 180°. (Linear Pair)

Angle ACB + 68° + 33° = 180°

Angle ACB = 79°

Therefore,

Angle ABC = 33°. (Alternate Interior Angle)

4 0
3 years ago
What is 340 pages; 20 percent decrease
mote1985 [20]
First you turn the % in to decimal .20
then you multiply .20 by 340=68.00
then you subtract 340.00-68.00=272.00
the final answer is 272.00 pages
:)
5 0
3 years ago
Read 2 more answers
Plz help me will give brainlyest
Tom [10]

Answer:

1. x = independent variable: Age

y = dependent variable: Accidents

2. Age scale and Accidents scale

The scale for age ranges from 15 - 30 with the value of 5 difference between each number.

While the accidents scale ranges from 0 -1 with no difference in between.

3. In my opinion, the scatter plot looks as though it decreases in accidents once the age rises. As seen from the data shown.

Step-by-step explanation:

1) x is considered as  the independent variable, while y is considered the dependent value.

2) There are two sets of scales, one for the x and the other for y. These scales are the values that are interpreted in order to show data of the graph, due to their number and various size(s).

3) If you were to draw a line through the graph, you can somewhat create the image that the line would go down into the right corner! Meaning that it is decreasing over time.

4 0
3 years ago
Read 2 more answers
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