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3 years ago

Is this graph increasing or decreasing or is it constant ?

Mathematics

2 answers:

lesya [120]3 years ago

8 0

Answer:

option B. constant

Step-by-step explanation:

In the graph attached there is a straight line parallel to x-axis that is y = 3.

Intercept form of a line is given by y = mx + c

where m = slope of the line

c = y-intercept

When we compare the line y = 3 to the intercept form of the equation we find m = 0, so this line is parallel to x-axis.

and y = 3 is constant.

Therefore, option B. constant is the answer.

Gwar [14]3 years ago

7 0

Constant because of the fact that it has a zero slope, so it will never decrease nor decrease.

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lisov135 [29]

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = $\frac{1}{3}x^{2}-2x+8$

Here x = rider's horizontal distance from the start of the ride

i). $y=\frac{1}{3}x^{2}-2x+8$

$=\frac{1}{3}(x^{2}-6x+24)$

$=\frac{1}{3}[x^{2}-2(3x)+9-9+24]$

$=\frac{1}{3}[(x^{2}-2(3x)+9)+15]$

$=\frac{1}{3}[(x-3)^2+15]$

$=\frac{1}{3}(x-3)^2+5$

ii). Since, the parabolic graph for the given equation opens upwards,

Vertex of the parabola will be the lowest point of the rider on the roller coaster.

From the equation,

Vertex → (3, 5)

Therefore, minimum height of the rider will be the y-coordinate of the vertex.

Minimum height of the rider = 5 m

iii). If h = 8 m,

$8=\frac{1}{3}(x-3)^2+5$

$3=\frac{1}{3}(x-3)^2$

(x - 3)² = 9

x = 3 ± 3

x = 0, 6 m

Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

6 0

2 years ago

A television station allows 15 minutes of advertising each hour. How many 30 second (1/2 minute) commercials can be run in 1 day

AleksAgata [21]

(15 minutes/hour) x (1 spot / 1/2 minute) x (24 hour/day) = <u><em>720</em></u> spots/day

3 0

3 years ago

A car travels at 65 miles per hour. Going through collision,it travels at 3/5 this speed. Write this fraction as a decimal.

solniwko [45]

Answer:

0.6

Step-by-step explanation:

the car moves at a speed of 3/5*65 miles per hour

that is 39 miles per hour

but this has nothing to do with the question as the only fraction is 3/5

6 0

3 years ago

Paraphin [41]

Answer:

3(4+5)

Step-by-step explanation:

just fill in the numbers for x and y

4 0

2 years ago

Read 2 more answers

1. A test-tube has a diameter of 3cm. How many turns would a piece of thread of length

Alex Ar [27]

So if we think of a test tube, it looks sort of like a cylinder. This means that its cross-section would be a circle. To find out how many turns a piece of thread would make around the test tube, we need to find the circumference of the test tube, then divide the length of the string by the circumference.

Step 1) Find the circumference

C = pi x diameter

C = 3.14 x 3

C = 9.42

Step 2) Divide the length of the string by the circumference

90.42 / 9.42 = 9.5987

The string would make approximately 9.60 turns around the test tube.

Hope this helps!! :)

6 0

2 years ago