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2 years ago

Solve the inequality 8(x + 1) > 7(x + 2)

Mathematics

2 answers:

DIA [1.3K]2 years ago

6 0

Answer:

7(2 - x)

Step-by-step explanation:

erik [133]2 years ago

4 0

Answer:

x>6

Step-by-step explanation:

8(×+1)>7(x+2)

(8×x)+(8×1)>(7×x)+(7×2)

8x+8>7x+14

Now subtract 8 and 7x from each side of the inequality to solve for x while keeping the inequality balanced:

-7x+8x+8-8 > -7x+7x+14-8

(-7+8)x+0>0+6

1x>6

x>6

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Which of the following is the solution to |-2x-15|≤7

sergeinik [125]

Answer:

Step-by-step explanation:

C. -11<x<-4

|-2x-15|<7 split into possible cases

- 2x - 15 < 7, - 2 x - 15 > 0

-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities

x>-11, x < -15/2

x< -4, x> -15/2 Find the intersections

[ -11, -15/2 ]

-15/2, -4] Find the union

[-11, -4 ] Simplify

-11<x<-4

5 0

3 years ago

How many dimensions does a line segment have

Natalija [7]

Answer:

A line segment has one dimensions.

Step-by-step explanation:

A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Dimension is an aspect or feature of an object.

A line segment, let us say AB has two endpoints and has only one measurable feature that is its length which is actually the distance between the two end points A and B.

Hence, a line segment is one-dimensional.

4 0

2 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

3 years ago

Hi I really need help with this question please,

Mrrafil [7]

Answer:

${ ( \sqrt{30 - x} )}^{2} = {x}^{2} \\ 30 - x = {x}^{2} \\ \\ {x}^{2} + x - 30 = 0 \\ delta = 1 - 4 \times ( - 30) \times 1 = 121 \\ x1 = \frac{ - 1 + \sqrt{121} }{2 \times 1} = \frac{ - 1 + 11}{2} = 5 \\ x2 = \frac{ - 1 - \sqrt{121} }{2 \times 1} = \frac{ - 1 - 11}{2} = - 6 \\$

6 0

2 years ago

Which of the following is not a polygon

sp2606 [1]

PLEASE PROVIDE AN EXAMPLE!

Without an example, the only thing I can tell you is a Polygon is a plane figure with three straight sides (or more) and angles. (usually 5 or more.)

-

Sorry, This was all I could provide with the amount of information given, please try to provide more information! If you have extra information, please let me know and I'll be sure to help!

7 0

3 years ago