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3 years ago

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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Pls help need it ASAP can’t figure it out

Pie

Answer:

-25

Step-by-step explanation:

10^2 ÷ -2^2 = -25

That's why the answer is -25.

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3 years ago

Consider a collection of envelopes consisting of 1 red envelope, 3 blue envelopes, 2 green envelopes, and 3 yellow envelopes if

nasty-shy [4]

Answer:

the probability that at least one envelope is a yellow envelope is 16/21

Step-by-step explanation:

The probability that at least one envelope is a yellow envelope is P(Y);

P(Y) = 1 - P(Y)'

P(Y)' is the probability that no envelope is a yellow envelope.

Given;

red envelope = 1

blue envelopes = 3

green envelopes = 2

yellow envelopes = 3

Total = 9

Number of non-yellow envelope = 9 -3 = 6

(6 envelope are not yellow)

P(Y)' = P1 × P2 × P3

Since there is no replacement;

P(Y)' = 6/9 × 5/8 × 4/7

P(Y)' = 5/21

From equation 1;

P(Y) = 1 - 5/21

P(Y) = 16/21

the probability that at least one envelope is a yellow envelope is 16/21.

8 0

3 years ago

Complete the table of values for y=2xsquared+x

hodyreva [135]

The solution of y= $2x^{2} +x$ given as:

x: 0 1 2 3

y: 0 3 10 21

<h3>What is Linear Equation?</h3>

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given function is:

y= $2x^{2} +x$

For finding the solution of above expression, take value of x and solve for y.

If x=0

y= 2(0)+0

y=0

If x=1,

y= $2(1)^{2} +1= 3$

If x=2

y= $2(2)^{2} +2=10$

If x=3

y= $2(3)^{2} +3=21$

The required table is:

x: 0 1 2 3

y: 0 3 10 21

Learn more about linear equation here:

brainly.com/question/488051

#SPJ1

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2 years ago

Which fraction is greater between 3/8 2/8 312-6512

kolezko [41]

Answer:

Step-by-step explanation:

3/8

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3 years ago

Ms Smith wants to tip 15% on a bill of $35. What is the total bill

anygoal [31]

Answer:

40.25

Step-by-step explanation:

multiple 35 by 1.15

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3 years ago