For which values of x is the inequality 3(1 + x) > x + 17 true?

Mathematics

2 answers:

Andru [333]3 years ago

7 0

Answer: The correct option is

(D) 8 and 9.

Step-by-step explanation: We are given to select the correct values of x for which the following inequality is true :

$3(1+x)>x+17~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To select the correct values of x, we must solve the given inequality.

From inequality (i), we have

$3(1+x)>x+17\\\\\Rightarrow 3+3x>x+17\\\\\Rightarrow 3x-x>17-3\\\\\Rightarrow 2x>14\\\\\Rightarrow x>\dfrac{14}{2}\\\\\Rightarrow x>7.$

Since the value of x is strictly greater than 7, so the correct vaues will be 8 and 9.

Option (D) is CORRECT.

Fittoniya [83]3 years ago

3 0

For which values of x is the inequality 3(1 + x) > x + 17 true?
A) 2 & 3
B) 4 & 5
C) 6 & 7
☆☆☆☆☆☆☆☆D) 8 & 9

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Nadya [2.5K]

Answer: no solution or zero solutions.

Step-by-step explanation:

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3 years ago

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

mars1129 [50]

The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$
a1=1
r=2
we want to find $S_{10}$ (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

$S_{10}=\frac{1(1-2^{10})}{1-2}$
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$S_{10}=\frac{(-1023}{-1}$
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3 0

3 years ago

Read 2 more answers

If a sprinkler waters 1/15 of a lawn in 1/5 of an hour, how much time will it take to water the entire lawn?

GaryK [48]

Answer:

3 hours

Step-by-step explanation:

To solve this we can first find out how many minutes is 1/5th of an hour which is: 12 mins.

Now we know it will take 15 sets of 12 minutes to water the full lawn so we can multiply 15*12 to get our answer.

15*12 = 180

Now we divide 180 (minutes) by 60 (minutes) to find out how many hours that is: