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3 years ago

Write a fraction and an equivalent terminating decimal between 0.2 and 0.6.

1 answer:

8 0

You could pick any number from 0.2 to 0.6.

←-----------------------------------------------------------→
| | | | | |
0.2 0.25 0.3 0.4 0.5 0.6

Then, think of each number as a fraction, like 1/10.

I am going to pick 0.4.
This would be representing four out of ten, or 4/10.

You could also choose a more complicated number, such as 2.25. Just remember that it MUST be terminating, which means it cannot be a repeating decimal (like 3.333). 2.25 would be expressed as 2 and 25/100, or 2 and 1/4.

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please just give me the answer is homework please help1)vertex 2)axis of symmetry 3)x-intercepts 4)maximum or minimum 5)max/min

aniked [119]

Answer:

See explanations below

Explanation:

Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)

The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75

x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5

To get the minimum, we will use the formula;

c - b^2/4a

The equation of the curve is expressed as;

(x-0)(x-2.5)

= x (x-2.5)

= x^2 - 2.5x

a = 1, b = -2.5, c = 0

minimum = 0 - (-2.5)^2/4(1)

minimum = -6.25/4

minimum = -1.5625

Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5

y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.

6 0

2 years ago

Which of the following are solutions to | x+3= 4x - 7? Check all that apply.

Arturiano [62]

Answer: B.x=10/3

Step-by-step explanation: x+3-4x=4x-7-4x −3x+3−3=−7−3 −3x/−3=−10/−3 x=10/3

5 0

3 years ago

What is the value of y?

kondaur [170]

Answer:

Step-by-step explanation:

1: y+10°+2y+50°=180°

2:3y+60°=180°

3:3y=120°

4:y=40°

5 0

2 years ago

Read 2 more answers

If we assume the population of Grand Rapids is growing at a rate of approximately 4% per decade, we can model the population fun

saw5 [17]

Answer:

The average rate of change of the population on the intervals [ 5 , 10 ] , [ 5 , 9 ] , [ 5 , 8 ] , [ 5 , 7 ] , and [ 5 , 6 ] are 734.504, 733.06, 731.62, 730.185 and 728.75 respectively.

Step-by-step explanation:

The given function is

$P(t)=181843(1.04)^{(\frac{t}{10})}$

where, P(t) is population after t years.

At t=5,

$P(5)=181843(1.04)^{(\frac{5}{10})}=185444.20$

At t=6,

$P(6)=181843(1.04)^{(\frac{6}{10})}=186172.95$

At t=7,

$P(7)=181843(1.04)^{(\frac{7}{10})}=186904.57$

At t=8,

$P(8)=181843(1.04)^{(\frac{8}{10})}=187639.06$

At t=9,

$P(9)=181843(1.04)^{(\frac{9}{10})}=188376.44$

At t=10,

$P(10)=181843(1.04)^{(\frac{10}{10})}=189116.72$

The rate of change of P(t) on the interval $[x_1,x_2]$ is

$m=\frac{P(x_2)-P(x_1)}{x_2-x_1}$

Using the above formula, the average rate of change of the population on the intervals [ 5 , 10 ] is

$m=\frac{P(10)-P(5)}{10-5}=\frac{189116.72-185444.20}{5}=734.504$

The average rate of change of the population on the intervals [ 5 , 9 ] is

$m=\frac{P(9)-P(5)}{9-5}=\frac{188376.44-185444.20}{4}=733.06$

The average rate of change of the population on the intervals [ 5 , 8 ] is

$m=\frac{P(8)-P(5)}{8-5}=\frac{187639.06-185444.20}{3}=731.62$

The average rate of change of the population on the intervals [ 5 , 7 ] is

$m=\frac{P(7)-P(5)}{7-5}=\frac{186904.57-185444.20}{2}=730.185$

The average rate of change of the population on the intervals [ 5 , 6 ] is

$m=\frac{P(6)-P(5)}{6-5}=\frac{186172.95-185444.20}{1}=728.75$

Therefore the average rate of change of the population on the intervals [ 5 , 10 ] , [ 5 , 9 ] , [ 5 , 8 ] , [ 5 , 7 ] , and [ 5 , 6 ] are 734.504, 733.06, 731.62, 730.185 and 728.75 respectively.

7 0

4 years ago

The width of a rectangle is 8 inches and the perimeter is 26 inches. What is the length of the rectangle?

fredd [130]

Length of the rectangle is 5 inches

Step-by-step explanation:

Step 1: Perimeter of the rectangle = 26 in and width = 8 in. Find the length.

Perimeter of the rectangle = 2(length + width)

26 = 2(length + 8)

13 = length + 8

length = 13 - 8

Length = 5 in

7 0

3 years ago