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slavikrds [6]
3 years ago
15

(3/5y^4)^-2 simplify this please

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0
(\frac{3}{5}y^4)^{-2}=(\frac{5}{3})^2y^{4\times-2}=\frac{25}{9y^8}
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Express the function graphed on the axes below as a piecewise function. ​
kobusy [5.1K]

Answer:

Step-by-step explanation:

3x+ 1/3     for x<= -1

6x-27    for x >4

3 0
3 years ago
Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca
arsen [322]

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

4x - 15x = 6

-11x = 6

x = -6/11

Now multiply both sides of the equation by 3.

3(4x - 6) = 3(15x)

12x - 18 = 45x   ___new equation

Solve for X

12x - 45x = 18

-33x = 18

x = -18/33

Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

5 0
3 years ago
I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.
guapka [62]

4.b.

Answer:  See below.

Step-by-step explanation:

<h2><u>For the equation f(x) = 2x</u></h2>

3.a.  f(6) means use x = 6 in the equation f(x) = 2x

so f(6) would be f(6)= 2(6)

<u>f(6) = 12</u>

3.b.  f(-11) = 2(-11)

<u>f(-11) = -22</u>

3.c.  f(2.75) = 2(2.75)

<u>f(2.75) = 5.5</u>

3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

f(10) = 20

<u>The rest of (3) are solved in the same fasion.h</u>

<u></u>

<h2><u>For the equation  f(x)= 5x+50</u></h2>

4.a.  f(7) = 5(7)+50

<u>f(7) = 85</u>

4.b. f(-12)

  f(-12) = 5*(-12)+50

<u>f(-12) = -60</u>

<u></u>

Continue in the same fashion for these types of problems.

7 0
2 years ago
What solid 3D object is produced by rotating the quarter-circle about line m
Grace [21]

Answer:

hemisphere.

Step-by-step explanation:

it is a hemisphere with radius=5 units.

or hemisphere with diameter=10 units

3 0
3 years ago
Read 2 more answers
A cube has volume 216cm find total surface area of cube​
Katena32 [7]

Answer:

Answer: 216 cm2 (square centimetres cm^{2}, in your question you had to put cm3, cubic centimetres, it's IMPORTANT )

Step-by-step explanation:

A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).

But let's calculate it anyway:

Volume  = Edge * Edge * Edge = length * width * depth = Edge^{3}  (remember: all edges are equal in this case)

so Edge = \sqrt[3]{Volume}

in your example Edge = \sqrt[3]{216} = 6cm

So the surface of one side is 6*6 = 36cm^{2}

There are 6 sides in total, so the total surface is 6*36 = 216 cm^{2}

Note: I call them "edges" but in case of a cube most say just "length"

3 0
3 years ago
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