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PilotLPTM [1.2K]
3 years ago
7

Which expressions are equivalent to 3(-2a-4-)+3a

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:

−6a−12+3a

Step-by-step explanation:

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In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal
OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0
2 years ago
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Assoli18 [71]
39 miles. If d=rt and the rate is 16 mph and the time is 3 hours then 16 times 3 gives the distance of 39 miles. I could be wrong but that is what I would have done. I’m not sure if there are answer choices or not
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Which line intersects the parabola y = x^2 + 6x-2 at two points?
schepotkina [342]

Answer:

C

Step-by-step explanation:

You find y-intercept x=0

3 0
3 years ago
Which of the following statements is true?
madreJ [45]

Answer: choice 2) SAS

AB = DE is one pair of congruent sides that forms the first S in SAS. The other S in SAS refers to the pair of congruent sides BC = EF. The A in SAS is the angle pair angle B = angle E. Note how angle B and angle E are between the two pairs of congruent sides. The order of the letters matters because SAS is different from SSA, which is not a valid congruence argument. Check out the attached image.

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