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butalik [34]
3 years ago
5

Write a rule for a transformation

Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0
Over the x-axis: (x, y)  (x, –y)
Over the y-axis: (x, y)  (–x, y)
Over the line y = x: (x, y)  (y, x)
Through the origin: (x, y)  (–x, –y)
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PLEASE HELP ME!!!
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Stairs because they can’t possibly walk up the stairs cause then they’ll fall
8 0
3 years ago
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Determine whether the graph table or equation represents a linear or nonlinear function explain
Anna [14]
<h3>Answer: Linear</h3>

Each time x goes up by 3, y goes up by 2. The rate of change is constant.

slope = (change in y)/(change in x) = 2/3

y intercept = 6 since this is where x = 0

The equation of this line is y = (2/3)x+6

5 0
3 years ago
The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

5 0
3 years ago
Which additional information is needed to solve this story problem? The zoo had 3 baby pandas in 2006 and gave 2 of them to othe
Likurg_2 [28]

Answer:

How may pandas were born in 2006

Step-by-step explanation:

7 0
3 years ago
Calculate the quotient. If needed, draw a model. 3/4 divided by 1/5
a_sh-v [17]

Answer:

15/4, or 3.75

Step-by-step explanation:

all i really did was plug it into the calculator like so:  (3/4)/(1/5) and thats what came out

6 0
3 years ago
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