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DiKsa [7]
4 years ago
9

Solve the inequality. Show your work 6y -8 ≤ 10

Mathematics
2 answers:
emmainna [20.7K]4 years ago
6 0

6y-8≤10

Add 8 to both sides

6y-8+8≤10+8

Simplify

6y≤18

Divide both sides by 6

6y/6  ≤   18/6

Simplify

y  ≤ 3

prohojiy [21]4 years ago
4 0
6y - 8 ≤ 10   Add 8 to both sides
     6y ≤ 18   Divide both sides by 6
       y ≤ 3

Y is less than or equal to 3.

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A circle has an area of 144 cm2.Find the circumference
lara [203]
Circumference of Circle = 2πrArea of circle = πr²144 = 3.14 * r²r² = 144/3.14r² = 45.85r = √45.85r = 6.77 Circumference = 2πr = 2*3.14*6.77Circumference = 42.51 m²
So, your answer is 42.51 m²


5 0
3 years ago
Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                      f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                           b - a

                                    change in function value

This is equivalent to  ---------------------------------------

                                            change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                 8

               ------ = 8 units    (Section A)

                  1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

        224 units

      ----------------- = 224 units (Section B)

            1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

7 0
3 years ago
Evaluate the expression
ohaa [14]

Answer:

  10

Step-by-step explanation:

\dfrac{5\cdot x^3}{x^2}=5x

For x=2, this is ...

  5·2 = 10

7 0
3 years ago
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Which of the following properties is always true for a parallelogram and why ?
posledela
A. Diagonals bisect each other is always true. Each diagonal<span> cuts the </span>other<span> into two equal parts. It is because of the parallel lines in the parallelogram. </span>
5 0
3 years ago
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Pls help I’ve been stuck on this forever!!
andrew-mc [135]

Answer:

triangles always add up to 180 degrees on the interior and because it has equal sides and angles, the triangle is equalateral.

4 0
3 years ago
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