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Kamila
2 months ago
15

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

Mathematics
2 answers:
Inessa [12.5K]2 months ago
6 0

Answer:

The value is 3.

Step-by-step explanation:

I completed the quiz.

(Please provide the brainliest answer.)

Svet_ta [12.7K]2 months ago
3 0

Answer:

The value for k is 3.

Detailed explanation:

Function f(x) passes through points (0,4) and (-6,-2).

Thus, the equation for f(x) is \frac{y-4}{4-(-2)} = \frac{x-0}{0-(-6)}

which simplifies to y = x + 4 (equation 1).

Function g(x) passes through points (0,4) and (-2,-2).

Hence, g(x) follows the equation \frac{y-4}{4-(-2)} =\frac{x-0}{0-(-2)}

which reduces to y = 3x + 4.

Since g(x) = f(kx), and from equation (1), g(x) = 3x + 4 equals f(3x),

we determine that k equals 3. (Final answer)

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The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi
Inessa [12570]

Answer:

The likelihood that a failure will not take place within the next 30 months is 0.0454.

Step-by-step explanation:

We employ a Poisson distribution where:

t = time units

x = occurrences during t units

λ = average occurrences per unit of time

P(x;λt) = e raised to the power of (-λt) multiplied by λtˣ divided by x!

Here, λt equals 25.

x equals 30.

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E signifies exponent)

P (x=30) = 1.204 E31/30!

Utilizing a statistical calculator will yield:

P (x=30) = 0.0454

The probability that the next failure will not occur prior to 30 months is 0.0454.

7 0
1 month ago
Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° o
tester [12383]

Response:

$54

Detailed steps to explanation:

Initially

45 multiplied by.05 equals 2.25

Next

45 added to 2.25

Following that

45 multiplied by.15 equals 6.75

Finally

45 plus 2.25 plus 6.75

5 0
1 month ago
a solar lease customer built up an excess of 6,500 kilowatts hour (kwh) during the summer using his solar panels. when he turned
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(a) For E based on d, the equation is E = 6500 - 50d (b) After 30 days, the remaining excess will be 5000.
4 0
1 month ago
Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in wi
Inessa [12570]

Respuesta:

Explicación paso a paso:

V=1/2lbh

V=1/2×15×8×6

V=360pulgadas

7 0
1 month ago
A family purchases a car for $11,000 which depreciates about 16% annually. How much is the car worth after 4 years
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11,000 multiplied by 16% equals $1,750, which when multiplied by 4 gives a total of $7,040.

Therefore, after 4 years, the car's value is $11,000 - 7,040 = $3,960.

7 0
1 month ago
Read 2 more answers
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