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dusya [7]
3 years ago
12

Marco solves the equation 4sin(3x) + 0.25 ≤ 2sin(3x) − 0.3 by graphing y = 2sin(3x) and y = −0.55. he then locates the intervals

on which 2sin(3x) is less than or equal to −0.55. is marco's solution method valid? explain.
Mathematics
2 answers:
raketka [301]3 years ago
8 0
Help me with this please 
ch4aika [34]3 years ago
6 0

Answer:

yes, Marco's method is correct.

The given inequality can be rewritten using the properties of inequality.

You can subtract 2sin(3x) and 0.25 from both sides of the inequality.

Subtracting preserves the direction of the inequality, so 2sin(3x) would be less than or equal to –0.55.

Step-by-step explanation:


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Over the last three evenings, Donna received a total of 129 phone calls at the call center. The third evening, she received 3 ti
lakkis [162]

Answer:

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

Step-by-step explanation:

Let

number of calls received in first evening be "x"

number of calls received in 2nd evening be "y"

number of calls received in 3rd evening be "z"

Total, in 3 evenings, we have 129 phone calls, so we can write:

x + y + z = 129

3rd evening, 3 times as first evening. We can write:

z = 3x

2nd evening, 9 MORE THAN FIRST. So we can write:

y = 9 + x

Now we replace 2nd and 3rd equation in 1st equation to get:

x + y + z = 129

x + 9 + x + 3x = 129

Now, first, we solve for x:

x + 9 + x + 3x = 129\\5x+9=129\\5x=120\\x=24

Solving for y:

y = 9 + x

y = 9 + 24

y = 33

Solving for z:

z = 3x

z = 3(24)

z = 72

Thus,

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

5 0
3 years ago
6th grade math easy! (:
vichka [17]
<h3>Answer: A) 20+10h</h3>

Work Shown:

It grows 2h inches for 4 weeks, so 2h*4 = 2*4h = 8h is the amount it grows for those 4 weeks.

Then it grows h inches per week, for 2 more weeks, giving h+h = 2h additional inches.

Overall, 8h+2h = 10h is the amount the plant grows.

It starts off at 20 inches so its final height is 20+10h

6 0
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Pls! What function is it??
SOVA2 [1]

Answer:

the second one is the anwser

Step-by-step explanation:

3 0
3 years ago
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The governor of state A earns ​$54,900 more than the governor of state B. If the total of their salaries is ​$310,850​, find the
AVprozaik [17]

Answer:

$127975, $182875

Step-by-step explanation:

Let the salary in state A be x. Then, the salary in state B is x+54900.

x+x+54900=310850 \\ \\ 2x=255950 \\ \\ x=127975 \\ \\ x+54900=182875

7 0
1 year ago
Exponential functions
Doss [256]

<u>Given</u>:

A population numbers 15,000 organisms initially and grows by 19.7 % each year.

Let P represents the population.

Let t be the number of years of growth.

An exponential model for the population can be written in the form of P=a \cdot b^t

We need to determine the exponential model for the population.

<u>Exponential model:</u>

An exponential model for the population is given by

P=a \cdot b^t

where a is the initial value and

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From the given, the value of a is given by

a=15,000

Also, the value of b is given by

b=\frac{19.7}{100}=0.197

Thus, substituting the values of a and b in the exponential model, we get;

P=15,000 \cdot (0.197)^t

Thus, the exponential model for the given population is P=15,000 \cdot (0.197)^t

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3 years ago
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