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4 years ago

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Mathematics

2 answers:

diamong [38]4 years ago

8 0

Answer:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Step-by-step explanation:

We can start by dividing the inequality by 3 to get ...

8 -4x < 2(x -5)

And we can divide by 2 to simplify further to ...

4 -2x < x -5

Now, we can add 2x+5, which gives ...

9 < 3x

and then divide by 3 again:

3 < x

This is graphed on a number line as described above.

LUCKY_DIMON [66]4 years ago

5 0

Answer: Option B

Step-by-step explanation:

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Correctly identify the slope and y -intercept of the

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The m is always the slope and the b is the y intercept

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3 years ago

Which choice is equivalent to the product below when x>0 ?

Rzqust [24]

Answer: x/3 ==> C

Step-by-step explanation:

(2x/3)^1/2 * (x/6)^1/2=

(2x/3 * x/6)^1/2=

(2x^2/18)^1/2=

(2x^2)^1/2 / 18^1/2=

(2x^2)^1/2 / (2*9)^1/2=

(2x^2)^1/2 / 3*2^1/2=

2^1/2 * (2x^2)^1/2 / 3*2=

(2(2x^2))^1/2 / 6=

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4^1/2 * (x^2)^1/2 / 6=

2x/6=x/3 ==> C

3 0

2 years ago

Which algebraic expression is equivalent to the expression below? 6x+15y A. 3(2x - 5y) B. 3(5x - 2y) C. 3(2x + 5y) D. 3(5x + 2y)

Marina CMI [18]

Answer:

C. 3(2x + 5y) is the algebraic expression equivalent to the expression

Step-by-step explanation:

From the question, the given expression is 6x + 15y.

Factorizing this expression gives 3(2x + 5y). Hence, the algebraic expression equivalent to the expression 6x + 15y is 3(2x + 5y). (Option C).

Checking the remaining options

A. 3(2x - 5y)

Expanding this gives 6x - 15y. It is not equivalent to the given expression

B. 3(5x - 2y)

Expanding this gives 15x - 6y. It is not equivalent to the given expression

D. 3(5x + 2y)

Expanding this gives 15x + 3y. It is not equivalent to the given expression.

Hence, C. 3(2x + 5y) is the algebraic expression equivalent to the expression.

3 0

3 years ago

Square root of 28283838

IRISSAK [1]

Answer:

The answer is 5318.25516

Have a nice day!

8 0

3 years ago

Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. Whic

Salsk061 [2.6K]

Answer:

Not possible scores: 6, 15, 23, 31 and 58.

Step-by-step explanation:

We have been given that Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. We are asked to choose the total scores that can be quickly identified as "not possible".

Given scores: 38, 23, 58, 30, 42, 31, 26, 6, 14, or 15.

Since the maximum score is 10 and number of hits are 5, therefore, the maximum score can be hitting 10 each of the 5 times.

$10\times 5=50$

Since the maximum score is 50, therefore, 58 is an impossible score.

Since the minimum score is 2 and number of hits are 5, therefore, the minimum score can be hitting 2 each of the 5 times.

$2\times 5=10$

Since the minimum score is 10, therefore, 6 is an impossible score.

Since all scores on board are even, so the sum of 5 hits must be even, therefore, odd numbers like 15, 23, 31 are not possible scores.

5 0

3 years ago