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2 years ago

How to solve this question?

Mathematics

1 answer:

bagirrra123 [75]2 years ago

7 0

Answer:

-11.

Step-by-step explanation:

f(x) = √(3 - 2x), x ≤ 3/2

let y = √(3 - 2x)

y^2 = 3 - 2x

2x = 3 - y^2

x = (3 - y^2)/2

So f-1(x) = (3 - x^2)/2

f-1(x) = (3 - 5^2) / 2 = -11.

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Write an equation of a line parallel to the line

Airida [17]

Answer: y = -2x - 5

Step-by-step explanation:

The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.

from the equation given,

y = -2x + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute for x and y in the equation of a line

y = mx + c to get the value of , the y - intersect.

-3 = -2 x -1 + c

-3 = 2 + c

solve for c

c = -3 - 2

c = -5.

now , to have the equation of the line , we put c = -7 into the equation

y = mx + c

y = -2x - 5

Therefore the equation of the line parallel to the line

y = -2x + 8 is

y = -2x - 7

4 0

3 years ago

A rectangular prism has a length of 312 in., a width of 5 in., and a height of 112 in.

OLga [1]

Area of prism = area of base * height

= ( 312 * 5 ) * 112 = 174720 cubic inch

4 0

3 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%

<u><em>Final answer</em></u>:-

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

P(E) = 0.067 = 6.71%

3 0

3 years ago

David buys a new racing bike for £x he then sells it for £1584 making a loss of 12% find x

Sholpan [36]

Answer:

x=1800

Step-by-step explanation:

x-1584/x=0.12

x-1584=0.12x

x-0.12x=1584

0.88x=1584

x=1800

Hope this helps plz hit the crown :D

3 0

2 years ago

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vichka [17]

Answer:

Death Valley California

C(t) = -0.30 (0)² + 40

C(t) = 40

C(t) = -0.30 (12)² + 40t – 12)2 + 40

65f

7 0

2 years ago