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3 years ago

Use the graph of the function f(x) = 2x + 2 to find the value of y when x = 2.

Mathematics

1 answer:

Tatiana [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Note: f(x) = y

f(x) = 2x + 2 x = 2

Step 1: Plug in 2 into x.

f(x) = 2(2) + 2

Step 2: Then multiply 2 times 2.

f(x) = 4 + 2

Step 3: Add.

f(x) = 6

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If my phone lock consisted of 3 single-digits and 3 numbers, how many possible codes are there?

Kruka [31]

Answer:

1,000 different combinations are possible

Step-by-step explanation:

Because if youre lock ckntained 3 single digit numbers it would have to be 0-9 so each digit would have 10 options so there would be 1,000 different combinations that are possible.

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers

Troyanec [42]

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

Learn more about sum of two numbers here:

brainly.com/question/13854139

5 0

3 years ago

Please help write the direct variation. Thank you!

prohojiy [21]

yes the table represents direct variation

the equation is y=3.99x

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3 years ago

P(A) = 20%. P(B) = 50%. P(BIA) = P(B). What is P(A and B)?

8_murik_8 [283]

Answer:

P(A and B) = 0.1 = 10%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question, we have that:

$P(A) = 0.2, P(B|A) = 0.5$

What is P(A and B)?

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1$

P(A and B) = 0.1 = 10%

8 0

3 years ago