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3 years ago

Find the solution set of this inequality -2x+1=5

Mathematics

1 answer:

WARRIOR [948]3 years ago

6 0

Answer:

x = -2

Step-by-step explanation:

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PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER!!

musickatia [10]

Answer:

$p>\frac{1}{14}$

Step-by-step explanation:

Question: $-31p+79>-59p+81$

1) Subtract 79 from both sides:

$-31p>-59p+2$

2) Add 59p to both sides:

$28p>2$

3) Divide both sides by 28:

$p>\frac{2}{28}$

4) Simplify fraction:

$p>\frac{1}{14}$

5 0

3 years ago

What is the measure of the arc represented by the numbers 6 and 11 on a clock face?

Marat540 [252]

150; because 6-11 is almost 180, but it’s not quite there, so it’s a little less

8 0

3 years ago

Read 2 more answers

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

Can someone help me find the area of the following figure

ExtremeBDS [4]

1. The area of the full rectangle is 21 * 28 = 588. We will need this later.

Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.

Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63.

Now we do the full area of 588 minus the area of the missing triangle piece.

588 - 63 = 525 ft²

2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7.

105 + 7 = 112 in²

6 0

3 years ago

the total price of 6 movie tickets is 71.40 if each ticket cost the same amount how much does one movie ticket cost

mr Goodwill [35]

Answer:

11.9

Step-by-step explanation:

71.40 divided by 6

7 0

3 years ago