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3 years ago

Please i need help thank you

Mathematics

2 answers:

BabaBlast [244]3 years ago

5 0

Constant =490 and the jet will take 12 hours because 12*490 = 5880

Mrrafil [7]3 years ago

4 0

First one is 490 second is 12

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Solve the inequality and give the interval notation

laila [671]

|7 - x| >= 1

When solving for x inside an absolute value, you can set up two equations. One for the positive and one for the negative(since we’re dealing with absolutes.

We end up with:
7 - x >= 1
7 - x <= -1 (inequalities’ signs flip when multiplying or dividing by a negative.)

7 - x >= 1
7 - 1 >= x
X <= 6

7 - x <= -1
7 + 1 <= x
X>= 8

X: (-infinity, 6]U[8, infinity)

6 0

3 years ago

Someone please help meeee !! I would really appreciate it

Maru [420]

Answer:

cos 25° = X/11

and

sin 65° = X/11

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5 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

4 years ago

What is the domain of the following parabola?

yanalaym [24]

First we have to understand what the domain is. In a nutshell the domain is the set of all x values that are represented in any given graph. In this case we do not have a graph but we have the vertex. The x value is 2, therefore: x ≥ 2.

I hope this helps, Regards.

3 0

4 years ago

Please HELP I DONT KNOW WHTA IM DOING!!

trasher [3.6K]

BD is 18

XY is 4

IK is 8

DF is 16

6 0

3 years ago