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3 years ago

Is (4, 4) a solution of the graphed system of inequalities?answers are A) Yes B) No

Mathematics

1 answer:

Softa [21]3 years ago

8 0

Answer: A) Yes

If (4, 4) lies within the double-shaded area that covers the solution set of both inequalities, then it's a solution.

It does, therefore, it's a solution to the system of inequalities.

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Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

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Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

Legs 3 and 4 are present what is the hypotenuse?

andrew11 [14]

Answer:

4 is hypotenuse

Step-by-step explanation:

6 0

3 years ago

Of his 94 compact discs, Raul plans to donate 17 to the thrift store. To the nearest tenth of a percent, what percent is this?

Masteriza [31]

For this case we can solve the problem by means of the following rule of three:
94 --------> 100%
17 --------> x
Clearing x we have:
x = (17/94) * (100)
x = 18,08510638%
To the nearest tenth of a percent:
x = 18.1%
Answer:
This is 18.1% of his compact discs.

6 0

3 years ago

Ammar hikes 2 3/4 miles of nature trail in 1 hour15 minutes. How many miles of trail does am mar hike per hour

AleksandrR [38]

Change 1 hour 15 minutes = 1.25 hour because 15 ÷ 60 = 0.25 so we add 0.25 hour and change 2 3/4 to 2.75
Equation: $\frac{2.75}{1.25}= \frac{?}{1}$
Multiply 2.75 × 1 = 2.75 ÷ 1.25 = 2.2 miles
I'm pretty sure this is correct

4 0

3 years ago

Justine made 3 loaves of banana bread.

Radda [10]

Answer:

3/5 of a serving. Or 6/10. Since he doesn't have a whole serving.

5 0

2 years ago

Is (4, 4) a solution of the graphed system of inequalities?answers are A) Yes B) No​

Is (4, 4) a solution of the graphed system of inequalities?answers are A) Yes B) No