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2 years ago

4 (x - 1) = }(12x – 3)

Mathematics

1 answer:

slamgirl [31]2 years ago

4 0

Answer:

x= -1/8

Step-by-step explanation:

try using symbolab

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If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).

kramer

Answer:

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Step by step explanation:

Given that,

$f(x) = {x}^{2}$

$g(x) = x - 1$

Solution:

Solving for (f•g)(x):

$= f(x) \cdot g(x)$

Now substitute the given values.

$= x {}^{2} \cdot(x - 1)$

$= x {}^{2} (x - 1)$

Apply distributive property:

$= (x ^{2} \cdot x) - x {}^{2} \cdot 1$

$\boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}$

Hence,f•g(x) will be $x {}^{3} - x {}^{2}$ .

8 0

2 years ago

Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$

Number of ways of choosing 3 students From all males

$n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220$

The probability that all are male of choosing '3' students

$P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }$

$P(E) = \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}$

P(E) = 0.067 = 6.71%

Final answer:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

3 0

3 years ago

PLEASE HELP ME WITH THIS

SSSSS [86.1K]

Answer:

Step-by-step explanation:

angles on a straight line are 180 so u do 180 minus 47 gives u 133

5 0

3 years ago

What is the reference angle for cos 2pie/3

kirill [66]

Answer:

Step-by-step explanation:

If your mind works better in degrees than it does radians, as does mine, it will be beneficial to us to see what degree measure this angle is. Convert it to degrees using the fact that 180° = π:

$\frac{2\pi}{3}*\frac{180}{\pi}=120$ degrees

Now that we know that, we can plot that angle in a coordinate plane. The terminal side of the angle lands in quadrant 2. To find the reference angle, we subtract 120 from 180 and get that the reference angle is 60 degrees, which is the same as π/3.

5 0

3 years ago

Find the value of x in the following system of equations: 2x−3y=9x=4+y

Klio2033 [76]

Answer:

x = 4 - 1 = 3

Step-by-step explanation:

2(4 - y) + 3y = 9

8 - 2y + 3y =9

8 + y = 9

y = 1

3 0

3 years ago