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Lubov Fominskaja [6]
3 years ago
15

Which description matches the transformations y=cosx undergoes to produce y=3cos(-2x)

Mathematics
2 answers:
kap26 [50]3 years ago
7 0

Answer:

d) horizontal stretch by factor 2, reflection across the x-axis, then vertical stretch by factor 3.

Step-by-step explanation:

a p e x :)

Hoochie [10]3 years ago
4 0
Let us check the transformations. The first step is regarding the argument of the function, the -2x part. So, first of all, the minus sign implies that the function is reflected along the y-axis since f(x) is replaced with f(-x). However, cosx is symmetric along that axis so there is no change on the graph. Also, the 2 factor means that the function is compressed along the x-axis, since now f(2) corresponds to f(1) etc. (if we substitute 1 in the cos(2x), it is as if substituting 2 in the origninal function cosx). Finally, we have that the factor 3 in front of cos, implies that the function is dilated along the y-axis; the highs become 3 times higher and the lows 3 times low.
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10 POINTS <br><br> Could someone please answer these questions please
Natasha_Volkova [10]

Answer:

dont lie, thats only 5 points

5 0
4 years ago
The area of a square can be represented by the trinomial 9x^2 - 54x + 81. Which of the following is the length of one side of th
Mnenie [13.5K]

Use\ (a-b)^2=a^2-2ab+b^2\\\\9x^2-54x+81=\underbrace{(3x)^2-2(3x)(9)+9^2}_{(*)}=(3x+9)^2\\\\\text{The formula of an area of a square with a side x:}\ A=x^2.\\\\\text{Therefore we have answer:}\ The\ length\ of\ side\ of\ the\ square\ is\ 3x+9.

3 0
4 years ago
in a window display at a flower shop, there are 3 spots for 1 plant each. to fill these 3 spots, adam has 7 plants to select fro
Andrej [43]

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

So, number of ways to select 3 plants out of 7 = C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

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5 0
3 years ago
The Pretty Pizza Company wants to open a new pizza place either on the north side of town or the south side of town. They want t
egoroff_w [7]
Target: ratio of pizza places / person < 0.01

<span>The population of 15 blocks of the north side of town is 221 people per block, but there are already 32 pizza places in the area.

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ratio: 32 pizza places / 3315 people = 0.0097 pizza places per person

Which indeed is less than 0.01 => this area is good for their purpose.

The population of 22 blocks of the south area is 150 people per block, and there are 28 pizza places in the area.</span>

population: 22*150 = 3300

ratio: 28 pizza places / 3300 people = 0.00085 which is also less than 0.01

Both places meet the target of less than 0.01 places per person, but the south area seems better than north area.
6 0
3 years ago
In my number, both digits are even numbers. The digit in the tens place is less than the digit in the ones place. The sum of the
valina [46]

Answer:

I think it's 24.

Step-by-step explanation:

2 and 4 are both even numbers. 2, the digit in the tens place is less than 4, the digit in the ones place. 2 + 4 = 6

Hope this helps!

8 0
4 years ago
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