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4vir4ik [10]
3 years ago
8

If a function uses variables other than x and y for its input and output variables, you take the original equation and solve for

the input variable to find the inverse.
TRUE
OR
FALSE
?
Mathematics
2 answers:
grandymaker [24]3 years ago
5 0
For the answer to the question, i<span>f a function uses variables other than x and y for its input and output variables, you take the original equation and solve for the input variable to find the inverse.

The answer is Simply true. But in real life it's false.

I hope my answer helped you.</span>
Usimov [2.4K]3 years ago
4 0

Answer:

<h2>False.</h2>

Step-by-step explanation:

When we talk about the input variable, it refers to the independent variable which most of the time is expressed as <em>x</em>. That means the output variable often refers to <em>y</em>, because that's the image or range.

So, in this case, if we want to find the inverse of a function, we just have to solve for <em>x, </em>that is, for the input variable. For example, if we have the following function

h=2t

The input variable would be t, so the inverse would be found by solving for that variable

t=\frac{h}{2}

<em>However, we need to switch the position of variables to find the inverse function as follows</em>

h=\frac{t}{2}

Therefore, to the inverse of a function we certainly have to solve for the input variable, but then we need to do an extra step, swtich variable's position, that's why this statement is false, because it doesn't express the full process.

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Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base
m_a_m_a [10]

Answer:

Answer Cone Z and Cylinder Y.

Step-by-step explanation:

The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.

The formula for the volume of the cone is :

V = 1/3πr^{2}h

The formula for the volume of the cylinder is :

V = πr^{2}h

Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :

V = 1/3πr^{2} (3h) = πr^{2}h

Therefore Cone Z and Cylinder Y have same volume.

8 0
3 years ago
Read 2 more answers
Drew is making a dart board.
Nezavi [6.7K]

Answer:

138.16 cm

Step-by-step explanation:

Recall that the formula for calculating the circumference is pi times diameter.

Circumference = 44 x 3.14 cm = 138.16 cm.

5 0
3 years ago
An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.
Greeley [361]

Answer: 1) 0.6561    2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel.  : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}

=(1)(0.90)^4=0.6561

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0
3 years ago
What is the area, in square feet, of the trapezoid below?
slavikrds [6]

Answer:

68.75

Step-by-step explanation:

Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.  

13.6 + 5.9= 19.5

19.5 + 8 = 27.5

27.5 x 5 = 137.5

137.5 x 1/2 = 68.75

3 0
3 years ago
Write many equations that are equal to the equation 2x+4=x-4.
Jobisdone [24]

Answer:

<u>x = -8</u>

4x + 8 = 2x - 8

3x + 4 = 2x - 4

2x + 16 = x + 8

x - 1 = 2x + 7

17x + 36 = 16x + 28

13x + 2 = 12x + 11

.......

(this is infinite)

As long as it cancels out to x = -8

4 0
3 years ago
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