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2 years ago

Over what interval does this function remain constant? Do not use any spaces in your interval.

Mathematics

1 answer:

mr_godi [17]2 years ago

7 0

Answer:

We conclude that the function remains constant over the interval [0, 2].

Step-by-step explanation:

We know that if x increases from left to right and y remains constant, the function remains constant over a certain interval.

From the given graph below, it is clear that from x = 0 to x = 2 the value of y does not change.

In other words, the value of y remains constant from x = 0 to x = 2.

i.e.

at x = 0, y = 5

at x = 1, y = 5

at x = 2, y = 5

Therefore, we conclude that the function remains constant over the interval [0, 2].

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Find the area of a circle with a diameter of six. Either enter an exact answer in terms of pie or use 3.14 for pie and enter you

miss Akunina [59]

Answer:

The area of the circle is 28.26

The area of the circle in terms of pi is 9π

Step-by-step explanation:

radius = half of diameter

d = 6

r = 6/2 = 3

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 3

π = pi

a = π * r²

we replace with the known values

a = π * (3)²

a = π * 9

a = 9π

The area of the circle in terms of pi is 9π

9 * 3.14 = 28.26

The area of the circle is 28.26

4 0

3 years ago

I NEED HELPP PLZ Which equation best represents the relationship shown in this graph?

Dafna11 [192]

Answer:

y = 2x

the formula for linear equations are y = mx+c,

where m is the gradient,

and c is the y-intercept

to find m (the gradient):

1. pick to points on the graph (eg. -2,-4 and 2,4)

2 substitute the values into the formula for gradient y2-y1/x2-x1.

m = y2-y1/x1-x2

= -4 -4/-2-2

= -8/-4

= 2

to find c (y-intercept):

- the y-intercept is where the graph cuts the y axis

- in this graph, the y-intercept is 0

hence,

c = 0

substitute m = 2 and c = 0 to y = mx+c,

y = 2x + 0

y = 2x

hence, the equation that best represents the relationship shown in the graph is y = 2x.

8 0

2 years ago

Justify each step. <br> 3•(10•12)=3•(12•10)<br> =(3•12)•10<br> =36•10<br> =360

ziro4ka [17]

Answer:

3•(10•12)=3•(12•10) = 360 = True

Step-by-step explanation:

left-hand side Simplify the following:

3×10×12

10×12 = 120:

3×120

3×120 = 360:

Answer: 360

______________________

Right-hand side:

Simplify the following:

3×12×10

Hint: | Multiply 12 and 10 together.

12×10 = 120:

3×120

Hint: | Multiply 3 and 120 together.

3×120 = 360:

Answer: 360

5 0

3 years ago

At a candy store you can pay $16.10 for 7 giant lollipop what would be the cost for 6 lollipops?

Alex Ar [27]

Answer: $13.80 for 6 giant lollipops

Step-by-step explanation: To find the cost of 6 giant lollipops at the candy store, we first need to find the unit price for a giant lollipop.

Unit price means the cost per unit,

in this case, the cost per giant lollipop.

Since we know that it costs $16.10 for 7 giant lollipops, to find the cost

for 1 giant lollipop, we need to 16.10 by 7.

16.10 divided by 7 is 2.3.

This means that each lollipop is $2.30.

Now to find the cost for 6, we multiply

the cost per 1 lollipop by 6.

So we have 2.30 × 6 which is $13.80.

So the cost for 6 lollipops at the candy store is $13.80.

8 0

3 years ago

PLEASE HELP URGENT THANK YOU

Fynjy0 [20]

So far the only true statement I see is that function f is increasing whilst function g is decreasing.

I cannot say yes to the first one as there is a lack of x-intercepts.

Past the interval of 0,2, there are no changes in the line of function g as it remains the same despite the increase in y. Function f on the other hand has a rate of change.

The y-intercepts are the same (positive 2) so the third statement is out.

8 0

2 years ago