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cupoosta [38]
3 years ago
7

What are the solutions of -1 ≤ x – 3 < 4

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0

Answer:

2 ≤ x  < 7

Step-by-step explanation:

-1 ≤ x – 3 < 4

Add 3 to each side

-1+3 ≤ x – 3+3 < 4+3

2 ≤ x  < 7

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My question is ...champ is 1st in a race star is 3rd and Pom is 4th if 2 more horses pass star what place will Pom be in? HELP P
Ad libitum [116K]
Pom would be in 6th place

3 0
3 years ago
A woman has a total of $9,000 to invest. She invests part of the money in an account that pays 7 % per year and
Volgvan

Answer:

Hi! I believe this is your answer:

$750

Step by step explanation:

interest + interest      = total interest

0.08*x   + 0.09*(9000-x) = 750    dollars

0.08x + 810 - 0.09x = 750

-0.01x = 750 - 810 = -60  ====>  x = %28-60%29%2F%28-0.01%29 = 6000.

Final answer:  

$6000 was invested at 8%.  The rest   9000-6000 = 3000 dollars were invested at 9%.

Check.   0.08*6000 + 0.09*3000 = 480 + 270 = 750 dollars.

6 0
3 years ago
The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni
Yanka [14]

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; brainly.com/question/24461724

#SPJ1

4 0
2 years ago
Suppose the average of 15 consectutive numbers is 15. What is the average of the first five numbers of the set?
Marina86 [1]
15x15= 225

15x + 105= 225

15x= 225-105

15x= 120

X=8

X+ (x+1) + (x+2) + (x+3)…etc all the way up too +(x+14)=225

The first five numbers of the set: 8, 9, 10, 11, 12
7 0
1 year ago
Which inverse operation would be used to verify the following equation? 54 ÷ 9 = 6        A. 9 − 6 = 3   B. 54 ÷ 6 = 9   C. 9 ×
Gnom [1K]
9 X 6 = 54. They are opposite operations
4 0
3 years ago
Read 2 more answers
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