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Ksivusya [100]
3 years ago
11

"tis greater than zero and less than or equal to 5" Complete the following steps to receive full credit for this question: . The

inequality translated in numerical form • The solution graphed on a number line • The solution in interval notation​
Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

A) 0 ≤ x ≥ 5

B) Number line is attached

C) Interval notation is; (0,5)

Step-by-step explanation:

We are told that the number is greater than zero and less than or equal to 5. If the number is x, then we can write the inequality as;

i) 0 ≤ x ≥ 5

ii) The solution graphed on a number line is attached.

iii) Since 0 ≤ x or x ≥ 5, then the interval notation is; (0,5)

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What equation represents a line that passes through (-2,4) and has a slope of 2/5
zhenek [66]

Answer:

A) y-4=2/5(x+2)

Step-by-step explanation:

passes through (-2,4) and has a slope of 2/5

y - 4 = 2/5(x + 2)

8 0
3 years ago
The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the
Alenkinab [10]

Answer:

The function is y = 17000 + 820 x

where: y = price of the car.

x = time in years.

After 3.3 years, the car will cost $19706.

Step-by-step explanation:

Hi there!

Let y be the price of the car.

After the first year, the price of the car will be:

y = 17000 + 820

After the second year:

y = 17000 + 820 + 820 or 17000 + 820(2)

After the third year:

y = 17000 + 820 + 820 + 820 or 17000 + 820(3)

Then, after x years:

y = 17000 + 820 x

After 3.3 year, the car will cost:

y = 17000 + 820(3.3) = 19706

After 3.3 years, the car will cost $19706.

6 0
4 years ago
An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units. An oblique c
Taya2010 [7]

Answer:

3 units

Step-by-step explanation:

The formula for the volume of the cone is given by

V=\frac{1}{3} \pi r^{2}h

V=18\pi\ unit^{3} \\\\ r=\frac{2x}{2} =x\ units \\ \\ h=2x\ units

Substituting in above formula

18\pi=\frac{1}{3} \pi*x^{2}*2x\\ \\ 54=2x^{3} \\ \\ x^{3} =27\\ \\ x=\sqrt[3]{27} \\ \\ x=3\ units

Thus, the radius of the cone is 3 units.

 

6 0
3 years ago
Read 2 more answers
Which table representa a proportional relationship?
zhuklara [117]

Answer:

Table 3 (bottom left table)

Step-by-step explanation:

Use a proportion to check if the table is proportional.

If the table is proportional, then the following is true.

\frac{x_{1}}{y_{1}} =\frac{x_{2}}{y_{2}}

\frac{6}{2}=\frac{18}{6} \\ \\ 3=3

So table 3 is proportional.

5 0
3 years ago
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A train needs 4 hours to go from the first station to the second. If the third station is 120 miles away and the total travel ti
Aliun [14]

A train needs 4 hours to go from the first station to the second and the total travel time must be no more than 7 hours, then the train needs at most 3 hours to go from the second station to the third station.

The average speed can be obtained by the formula:

V_{\text{average}}=\dfrac{\text{total distance}}{\text{total time}}.

Let V be the train speed between first and second stations, then the distance between the first and the second stations is 4V miles.

Therefore,

  • the total distance is 4V+120 (V>0);
  • the total time is T≤7 hours.

Now

V_{\text{average}}=\dfrac{\text{4V+120}}{\text{T}}, \text{ where } T\le 7, V>0.

The slowest average speed will be when nominator is the smallest and denominator is the greatest. The greatest denominator could be T=7, then

V_{\text{average}}=\dfrac{\text{4V+120}}{7}=\dfrac{4V}{7}+17.14> 17.14


3 0
4 years ago
Read 2 more answers
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