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elena55 [62]
3 years ago
6

MODULE 1

Mathematics
1 answer:
Andre45 [30]3 years ago
4 0
A. Yes B. Yes C. No.
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Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g
Firlakuza [10]

Answers:

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

Given:

Ava graphs the function h(x) = x^2 + 4.

Victor graphs the function g(x) = (x + 4)^2

To find y intercept we plug in 0 for x

h(x) = x^2 + 4

h(x) = 0 + 4= 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function h(x) = x^2 + 4

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function g(x) = (x + 4)^2

If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.


7 0
3 years ago
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Why does fast- moving grader erosion and then slow- moving water?
Triss [41]
It have more energy picking up more particles in less time 
5 0
3 years ago
Which is 2logx - 6 log(x-9) written as a single logarithm.
Anton [14]

Answer: option c

Step-by-step explanation:

To solve this problem you must keep on mind the properties of logarithms:

log(b)-log(a)=log(\frac{b}{a})\\\\log(b)+log(a)=log(ba)\\\\a*log(b)=log(b)^a

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

2logx-6log(x-9)\\logx^2-log(x-9)^6\\\\log\frac{x^2}{(x-9)^6}

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3 years ago
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Find the first four terms of the sequence an = 4n-6
natulia [17]

Answer:

The first four terms of the sequence are-6, -2, 2 and 6

Step-by-step explanation:

The given sequence is a_n=4n-6

In order to find the first four term of the sequence we put n =0, 1, 2 and 3.

For n =0

a_0=4(0)-6=-6

For n =1

a_1=4(1)-6=-2

For n =2

a_2=4(2)-6=2

For n =3

a_3=4(3)-6=6

Therefore, the first four terms of the sequence are

-6, -2, 2 and 6

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Help ASAP! Please explain!
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All real numbers greater than or equal to -8. You can see 3 is a minimum point because at 3 the numbers start to increase again. -8 is the lowest number and the function is increasing as x approaches infinity starting at 3. 
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