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enyata [817]
3 years ago
14

Graph the solution to the following inequality.

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Explanation= You basically do x=6 on the graph then you shade in the right side because that represents that x is GREATER THAN OR EQUAL to 6.

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3x + 2 = 14 what number makes this true?<br> A. 1<br> B. 2<br> C. 4<br> D. 6
Ksenya-84 [330]

Answer:

4

Step-by-step explanation:

3*4+2=14

12+2=14

14=14

5 0
2 years ago
Read 2 more answers
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the
Ivanshal [37]

The sine function for the given scenario is y  = 6sin ( (π / 10) x )  -  10.

<u>Step-by-step explanation:</u>

The standard formula for sine function is Asin(Bx)+C.

A buoy bobs up and down 6 meters. That is the buoy shifts vertically and horizontally  for 6 meters which is amplitude.

∴Amplitude A= 6.

Period is the distance in the x-axis that makes one full oscillation.

We know that the time taken buoy to move from its highest point to lowest point (half oscillation) is 10 seconds.

∴The period for full oscillation is 20 seconds.

Also, Period =2π divided by B.

⇒ 20 (B) = 2π.

B=2π /20.

= π/ 10.

Since the buoy is in the depth of the ocean 10 meters C = -10.

Applying all the values in the formula,

⇒y  = 6sin ( (π/ 10) x )  -  10.

The first point is the mid line,

The first point is x=0,

⇒y=6sin(0)-10.

y= -10.

∴ The line starts at the point y = -10.

The second point is either maximum or minimum value.

That is (5,-4) and (15, -16.)

7 0
3 years ago
How do you solve 3 (x - 4) = 12?<br> I'm really stuck on these type of questions
jolli1 [7]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

3(x-4)=12  Equation/Question

Step 2

3(x-4)=12  Remove parenthesis

3x-12=12

Step 3

3x-12=12  Add 12 to sides

3x=24

Step 4

3x=24  Divide sides by 3

answer

x=8

Hope this helps

5 0
3 years ago
A certain circle can be represented by the following equation. x^2+y^2+6y-72=0 What is the center of this circle ?
jek_recluse [69]

Answer:

(0, -3)

Step-by-step explanation:

Here we'll rewrite x^2+y^2+6y-72=0 using "completing the square."

Rearranging x^2+y^2+6y-72=0, we get  x^2 + y^2 + 6y                = 72.

x^2 is already a perfect square.  Focus on rewriting y^2 + 6y as the square of a binomial:  y^2 + 6y becomes a perfect square if we add 9 and then subtract 9:

x^2 + y^2 + 6y + 9  - 9              = 72:

x^2 + (y + 3)^2 = 81

Comparing this to the standard equation of a circle with center at (h, k) and radius r,

(x - h)^2 + (y - k)^2 = r^2.  Then h = 0, k = -3 and r = 9.

The center of the circle is (h, k), or (0, -3).

8 0
3 years ago
Simplify the rational expression below
ale4655 [162]

Answer:

there is no expression

Step-by-step explanation:

what are you talking about

8 0
3 years ago
Read 2 more answers
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