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3 years ago

FIND INVERSE OF Y=3X+9/7

Mathematics

1 answer:

Mars2501 [29]3 years ago

8 0

Answer: To find the inverse, interchange the variables and solve for y.

f−1(x)=x3−37

Step-by-step explanation:

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the angle formed by radius and tangent are right angles

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3 years ago

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2 years ago

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One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that

inessss [21]

Let
x-------> the probability that a boy is chosen
B------> number of boys in the debate team
G------> number of girls in the debate team

we know that
B+G=20-----> G=20-B-----> equation 1
probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

the probability that a girl is chosen is 2/3 the probability that a boy is chosen
probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

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3 years ago

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GuDViN [60]

Answer:

theres no questions

Step-by-step explanation:

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2 years ago

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(x+12) (3x+2) Find the value of X

KatRina [158]

Step-by-step explanation:

Equation at the end of step 1

(3x2 - 38x) + 24 = 0

STEP2:Trying to factor by splitting the middle term

2.1 Factoring 3x2-38x+24

The first term is, 3x2 its coefficient is 3 .

The middle term is, -38x its coefficient is -38 .

The last term, "the constant", is +24

Step-1 : Multiply the coefficient of the first term by the constant 3 • 24 = 72

Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is -38 .

-72 + -1 = -73 -36 + -2 = -38 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -36 and -2

3x2 - 36x - 2x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-12)

Add up the last 2 terms, pulling out common factors :

2 • (x-12)

Step-5 : Add up the four terms of step 4 :

(3x-2) • (x-12)

Which is the desired factorization

Equation at the end of step2:

(x - 12) • (3x - 2) = 0

STEP3:Theory - Roots of a product

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2 Solve : x-12 = 0

Add 12 to both sides of the equation :

x = 12

Solving a Single Variable Equation:

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