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pentagon [3]
3 years ago
10

. The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 > 40. Whi

ch values of x hold true for the inequality?
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0
The closest you can get is 12.4.
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(-3c+6) + (-c+8) simplify with a step by step please
mel-nik [20]

Step-by-step explanation:

= ( - 3c + 6) + ( - c + 8)

=  - 3c + 6 - c + 8

=  - 3c - c + 6 + 8

= -4c + 14

hence -4c + 14 is the answer ...

hope it helped !!

6 0
2 years ago
Find the number b such that the line y = b divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions wi
77julia77 [94]
Because of the symmetry, we can just go from x=0 to x=2 to find the area between 
<span>y = x^2 and y = 4 </span>

<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>

<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>

<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
7 0
3 years ago
In a sample of students, 125 said they exercise on a regular basis. How large was the sample if 27.3% said they exercised on a r
krek1111 [17]

First, let's declare a variable

x = # of students

Now, let's create an equation to model the problem.

x * 0.273 = 125

Divide both sides by 0.273

x = 457.8 = 458 students.

Note, I rounded to the nearest whole number.

5 0
3 years ago
Read 2 more answers
Write this small number in standard form. 0.0000000014 *
kap26 [50]

Answer : 1.4 x 10^-9

Step-by-step explanation:

0.0000000014

= 1.4 x 10^-9

3 0
3 years ago
I need help with a puzzle
Harrizon [31]

ummm there's nothing attached

6 0
3 years ago
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