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RoseWind [281]
3 years ago
12

Part A: Explain why x = 5 makes 4x - 1 5 19 true but not 4x - 1 < 19.

Mathematics
1 answer:
Westkost [7]3 years ago
6 0

9514 1404 393

Answer:

  • 19 ≤ 19 . . . true
  • 19 < 19 . . . false
  • x = 9

Step-by-step explanation:

A) A number cannot be less than itself, but can be equal to itself.

In each case, the left side of the inequality evaluates to 19:

  4(5) -1 = 20 -1 = 19

It is true that 19 is less than or equal to 19. This is true because 19 = 19.

It is not true that 19 is less than 19. A number cannot be less than itself.

__

B) 5x +2 = 47

  5x = 45 . . . . . . subtract 2 from both sides

  x = 9 . . . . . . . . . divide both sides by 5

The element 9 from the set is the solution to the equation.

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What are the following of this function y = 4sin (2( x - <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpi%20%7D%7B4%7D" id="Te
Andrei [34K]

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

y=A\sin\left(B(x-C)\right)

Amplitude: |A|

Period: \frac{2\pi}{B}

Phase Shift:  C

In this question, A=4,\,B=2,\,C=\frac{3\pi}{4}

Amplitude: 4

Period: \frac{2\pi}{2}=\pi

Phase Shift: \frac{3\pi}{4}

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

6 0
3 years ago
El resultado de la adición 1/3 + 1/9 es =?
murzikaleks [220]

Answer:

4/9

Step-by-step explanation:

You're welcome i worked it out on a piece of paper

5 0
3 years ago
In the right triangle shown in the diagram below,
adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

5 0
2 years ago
If p=5x and q=3x-1, show that 2pq=30x²-10x
Georgia [21]

Answer:

<em>Solution in the attachment above..</em>

<h3><em><u>Hope it helps uh. !!!</u></em></h3><h2 /><h2><em><u>Stay</u></em><em><u> </u></em><em><u>Safe</u></em><em><u>!</u></em></h2>

5 0
1 year ago
Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer ​
kotegsom [21]

Answer

x=2 and y=2√2

Step-by-step explanation:

\sin( \alpha )  =  \frac{2 \sqrt{2} }{x }  \\ x =  \frac{2 \sqrt{2} }{ \sin(45) }  \\ x = 4 \\  {x}^{2}  =  {y}^{2}  + 2 \sqrt{2}  \\  {4}^{2}  =  {y}^{2}  + (2 \sqrt{2 \: )}^{2}  \\ 16 =  {y}^{2}  + 8 \\ 16 - 8 =  {y}^{2}  \\ y =  \sqrt{8}  \\ y = 2 \sqrt{2}

3 0
1 year ago
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