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g100num [7]
2 years ago
8

F(x) = {5x - 1, if x < 2 Find f(-4) x-9, if x ≥ -2

Mathematics
1 answer:
Jobisdone [24]2 years ago
3 0
Since -4 is less than 2, use the first equation
5(-4) - 1 = -20 - 1 = -21
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Given an initial quantity Q0=150 and a growth rate of 7% per unit time, give a formula for the quantity Q as a function of time
rodikova [14]

Answer:

Step-by-step explanation:

From the given information:

(a)

Since growth quantity is not continuous

Q(t) = 150 (1.07)^t

For t = 10

Q(10) = 150 (1.07)^{10}

\mathbf{Q(10) = 295.073}

(b)

Here, for a continuous growth rate, the growth quantity can be computed in terms of initial quantity and the growth rate.

i.e.

Q(t) = 150 e^{0.07t}

At t = 10 for a continuous growth rate;

Q(10) = 150 e^{0.07  \times 10}

Q(10) = 150 e^{0.7}

\mathbf{Q(10) = 302.063}

8 0
3 years ago
Please help. Due soon.
Orlov [11]
The function represents exponential growth (since the exponent is positive).

The percentage increase is, if I'm not mistaken, 181.3% (since 710 is just a constant, we don't need to worry about that - it won't affect the growth rate of the function)
4 0
3 years ago
Lines a and d are
ICE Princess25 [194]

Answer:

perpendicular (90 deg to each other)

Step-by-step explanation:

8 0
2 years ago
Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi
boyakko [2]

The inequality that correctly represents this scenario is given as follows:

2x + 5y \leq 25

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of chocolate chips purchased.
  • Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

2x + 5y \leq 25

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

6 0
1 year ago
Which number from the set of numbers {3, 5, 6, 7} makes the equation below TRUE?
beks73 [17]

Answer:

6

Step-by-step explanation:

replace x with 6 in the ecuation.

4(6)=24 - 8 =16

5 0
3 years ago
Read 2 more answers
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