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sveticcg [70]
3 years ago
13

Which of the following inequalities are true

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer: The answer is E: |-4|<|-7| and C: |-7|>|4|

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If f(x) = 4x^2 and g(x) = x + 1, find (f - g) (x)
777dan777 [17]

Answer:

4x² - x - 1

Step-by-step explanation:

(f - g)(x) = f(x) - g(x) , thus

f(x) - g(x)

= 4x² - (x + 1) ← distribute parenthesis by - 1

= 4x² - x - 1

7 0
3 years ago
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip
DochEvi [55]

Answer:

The expression that represents the population of elk is: \text{elk}(t) = 2*3^t. It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at \text{elk}(0) = 2, then after the first year the population will be:

\text{elk}(1) = \text{elk}(0)*3 = 2*3

While on the second year, it'll be:

\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2

On the third year:

\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3

And so on, therefore the expression that describes the population of elk as the years passes is:

\text{elk}(t) = 2*3^t

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6

The population will reach 1,458 elk in 6 years.

8 0
3 years ago
Who will help me 30 points please help !!! 5 assignments
BartSMP [9]
The correct answers are 1. D, 2. A, 3. A, 4. A, 5. A
4 0
3 years ago
A line has a slope of 3 and passes through the points (12,5). What is the equation of this line?
Amiraneli [1.4K]

Answer:

y = 3x -31

Step-by-step explanation:

y=mx+b

m=3

5 = 3*12 +b

b = 5 - 36

b = -31

y = 3x -31

8 0
3 years ago
Explain how scaling a mixed number by 1/2 will affect the size of the number
DiKsa [7]
<span>It will effect the number because 1/2 is a whole 50% more than the normal number. </span>
7 0
3 years ago
Read 2 more answers
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