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zavuch27 [327]
2 years ago
14

Express the function graphed on the axes below as a piecewise function.

Mathematics
1 answer:
dangina [55]2 years ago
8 0

Answer:

y = 2/3x +6  for x< -3

y = 2/3x +1     for x> 3

Step-by-step explanation:

The graph is a line for  x < -3

( - 6,2) and ( -3,4)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point ( -6,2)

y -2 = 2/3(x - -6)

y -2 = 2/3(x +6)

y-2 = 2/3 x +4

y = 2/3x +6 x< -3

The graph is a line for  x > 3

(3,3) and ( 6,5)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 5-3)/(6-3) = 2/ (3) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point (6,5)

y -5 = 2/3(x - 6)

y-5 = 2/3 x -4

y = 2/3x +1   x> 3

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Which equation can be used to solve for x in the following diagram?
Olenka [21]

The equation we can use to find the value of x in the diagram given is: B. (5x + 30) + 5x = 90.

<h3>What are Complementary Angles?</h3>

Angles that give a sum of 90 degrees when added are referred to as complementary angles.

The angles, (5x + 30) and 5x are complementary angles, since the sum of both gives a right angle (90 degrees).

Therefore, the equation that we can use to find x in the diagram is: B. (5x + 30) + 5x = 90.

Learn more about complementary angles on:

brainly.com/question/16281260

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8 0
2 years ago
A rickshaw company counted 39 ticket receipts last week. The price for a weekday ticket is $7, and the price for a weekend ticke
Mademuasel [1]

Answer:

x+y = 39 and 14y+19=666

Step-by-step explanation:

Let x is the no of tickets for the weekend and y for the weekday.

The price for a weekday ticket is $7, and the price for a weekend ticket is $9.50. The rickshaw driver collected a total of $333 for the week.

Equation (1) should be :

x+y = 39 (because a rickshaw company counted 39 ticket receipts last week)

Equation (b) should be :

7y+9.5=333

Multiplying both sides by 2.

14y+19=666

Hence, the two equations that represent the situation are :

x+y = 39 and 14y+19=666

3 0
2 years ago
Jennifer planted a tree that was 0.17 of a meter tall. After 10 years, the tree was 100 times as tall as when she planted it. Wh
Travka [436]
To solve, you need to carry the decimal two spaces to the right because there are two zero in 100 so 0.17 times 100 is 17.  The height of the tree after ten years was 17 meters tall in height.
8 0
3 years ago
Read 2 more answers
Find the value of y in this equation 16y=164
Nezavi [6.7K]
<span>1. 16y = 164 <=> y = 164/16 <=> y = 10.25 or 10 + 1/4. So the answer is a. 2. 8Z = 64 <=> Z = 64/8 <=> Z = 8. So the answer is a. 3. D = ABC <=> C = D/AB. So the answer is c.</span>
6 0
3 years ago
Read 2 more answers
A random sample of 240 park users were asked if they go to the park more often on weekdays or on the weekend. The results are sh
docker41 [41]

Answer:

False

True

False

Step-by-step explanation:

         Weekdays Weekend

Male      50             10

Female  150           30


The males go to the park more often on the weekend.

This is false  Males go more on the weekdays  50 vs 10

The females go to the park more often on weekdays.

True  Females go on the weekdays 150 to 30

For the participants in the survey, gender affects which days of the week a person goes to the park.

False, they both go to the park more on the weekdays

Males 50 to 10 on the weekdays  which simplifies to 5 to 1

Females  150 to 30  which simplifies to 150/30  to 30/30  or 5 to 1

It is equal

8 0
3 years ago
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