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3 years ago

What is the value of b?

Mathematics

1 answer:

maw [93]3 years ago

8 0

Answer

146

Step-by-step explanation:

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Find the value of f(5) for each function. f(x) = 6 + 3x

frozen [14]

Answer:

f(5) = 21

Step-by-step explanation:

Step 1: Define

f(x) = 6 + 3x

f(5) is x = 5

Step 2: Substitute and Evaluate

f(5) = 6 + 3(5)

f(5) = 6 + 15

f(5) = 21

3 0

3 years ago

Adding and subtracting rational expressions

uysha [10]

Answer:

Step-by-step explanation:

When adding or subtracting rational expressions, it is easiest to find a common denominator.

Ex.

$\frac{x+2}{x-5} + \frac{x-7}{x} \\$

The common denominator would be $x(x-5)$

We need to make both fractions have that denominator

$\frac{(x+2)(x)}{(x-5)x} + \frac{(x-7)(x-5)}{x(x-5)} \\\frac{(x^2+2x)+(x^2-12x+35)}{(x^2-5x)}\\\frac{2x^2-10x+35}{(x^2-5x)}$

3 0

4 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

xxTIMURxx [149]

Step-by-step explanation:

Let the initial population of a community be P0 and the population after time t is P(t).

If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:

$P(t) = P_0e^{kt}$

at t = 5 years, P(t) = 2P0

substitute:

$2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386$

If the population is 9,000 after 3 years

at t = 3, P(t) = 9000

a) Substitute into the formula to get P0

$9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24$

Hence the initial population is approximately 5938.

b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:

$P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97$

Hence the population of the community after 10 years is approximately 23,746

4 0

4 years ago

Given the Arithmetic series A1+A2+A3+A4

andreev551 [17]

The answer would be 185 bc if you add all of them up that’s what u get

3 0

3 years ago

Artemisia moves to a new house and she is "fifty-percent sure" that the phone number is 2537267. To verify this. she uses the ho

lana [24]

Answer:

My answer was wrong :/

Step-by-step explanation:

My answer was wrong :/

6 0

4 years ago