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3 years ago

Explain why the initial value of any function of the form f(x) = a(bx) is equal to a.

1 answer:

Montano1993 [528]3 years ago

7 0

So the said problem asking to explain or justify why the initial value of any function of the form f(x) = a(bx) is equal to a. For me I won't agree with the said question, the said function is determine through the value of X because it is the undefined value in the equation that is needed to be define. I hope this would help

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All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .75,

astra-53 [7]

Answer:

5% probability neither truck is available

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that the first truck is available.

B is the probability that the second truck is available.

We have that:

$A = a + (A \cap B)$

In which a is the probability that the first truck is available and the second one is not $A \cap B$ is the probability that both trucks are available.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability that both trucks are available is .30.

This means that $A \cap B = 0.3$

The probability the second truck is available is .50

This means that $B = 0.5$ . So

$B = b + (A \cap B)$

$0.5 = b + 0.3$

$b = 0.2$

The probability the first truck is available is .75

This means that $A = 0.75$ . So

$A = a + (A \cap B)$

$0.75 = a + 0.3$

$a = 0.45$

The probability that at least one truck is available is:

$A \cup B = a + b + (A \cap B) = 0.45 + 0.2 + 0.3 = 0.95$

The probability that neither truck is available is:

$1 - (A \cup B) = 1 - 0.95 = 0.05$

5% probability neither truck is available

6 0

3 years ago

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line {with center A and a s

masya89 [10]

Answer:

C' (-4 , 2)

slope of new line = line "L" = -2

Step-by-step explanation:

C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3

C' (x,y)

x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)

y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)

C' (-4 , 2)

slope of new line = line "L" = -2

8 0

2 years ago

Find value of x<br> Geometry/algebra

nalin [4]

Answer: The value of x is 22

5x-5=6x-27

5x-6x=-27+5

-x=-22

x=22

Brainliest pwease if I give you the correct answer!~ <3

5 0

3 years ago

Make 24 with the numbers below :<br> 5, 10, .5, 1

Bond [772]

Answer:

0.5(5 × 10) - 1

Step-by-step explanation:

((5 × 10) × 0.5) - 1

((50) × 0.5) - 1

25 - 1

7 0

3 years ago

The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is

Setler [38]

Answer:

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

Step-by-step explanation:

Geometrically speaking, the area of a rectangle ( $A$ ), in square centimeters, is described by following expression:

$A = w\cdot l$ (1)

Where:

$w$ - Width, in centimeters.

$h$ - Height, in centimeters.

By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ( $\dot A$ ), in square centimeters per second:

$\dot A = \dot w\cdot l + w\cdot \dot l$ (2)

Where:

$\dot w$ - Rate of change of the width of the rectangle, in centimeters per second.

$\dot l$ - Rate of change of the length of the rectangle, in centimeters per second.

If we know that $w = 12\,cm$ , $l = 15\,cm$ , $\dot w = 4\,\frac{cm}{s}$ and $\dot l = 9\,\frac{cm}{s}$ , then the rate of change of the area of the rectangle is:

$\dot A = \dot w\cdot l + w\cdot \dot l$

$\dot A = 168\,\frac{cm^{2}}{s}$

The area of the rectangle is increasing at a rate of 168 square centimeters per second.

6 0

3 years ago