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katrin2010 [14]
3 years ago
6

Which table might represent ava's line ?

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

The correct option is 3.

Step-by-step explanation:

To find the slope of a line Ava wrote the expression

m=\frac{4-2}{3-1}       ..... (1)

The formula to find the slope is

m=\frac{y_2-y_1}{x_2-x_1}            .... (2)

On comparing (1) and (2), we get

x_1=1, y_1=2

x_2=3, y_2=4

It means the value of y is 2 at x=1 and the value of y is 4 at x=3.

Therefore table 3 represents the Ava's line and option 3 is correct.

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What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.
nikitadnepr [17]

Answer:

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

f(x) =  {x}^{2}

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

g(x) = a {(x   + h)}^{2}  + k

+h moves the parent graph to the left by h units

-h moves the parent graph to the left by h units.

+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

f(x) =  {x}^{2}

given

f(x) = 2( {x  + 2)}^{2}  + 1

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

3 0
3 years ago
Prove that A is in the subset B if P(A) is in the subset P(B)
natima [27]
Show that if p(a) ⊂ p(b) then a ⊂ b. 

<span>I will assume p() means power set. </span>

<span>proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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5 0
3 years ago
The sum of 8 times a number and 5 is equal to 3
saw5 [17]
8x+5=3
8x=3-5
8x=-2
X=-1/4
5 0
3 years ago
Read 2 more answers
5,049 +48=105
Alborosie
<h2>Solution (a) :-</h2>

Let the cost of the less expensive comic book be x .

Then :-

1284 - 11x = x

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

1284 - 11x = x

11x + x = 1284

12x = 1284

x =  \frac{1284}{12}

x = 107

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

<h2>Solution (b) :-</h2>

Cost of the more expensive book = 11x

Which means :-

1284 - x = 11x

11x + x = 1284

12x = 1284

x = 107

11x = 11 \times 107

= 1177

Therefore , the price of the more expensive book = $ 1177 .

4 0
3 years ago
6 1/4 (x− 2/3 )=9 3/8 please help SOON
Pie

Answer:

x = 2 1/6

Step-by-step explanation:

6 1/4 (x− 2/3 )=9 3/8

Change the mixed numbers to improper fractions

6 1/4 = (4*6+1) / 4 = 25/4

9 3/8 = (8*9 +3) /8 = 75/8

25/4 (x-2/3) = 75/8

Multiply each side by 4/25

4/25*25/4 (x-2/3) = 75/8 *4/25

x-2/3 = 75/25 *4/8

x-2/3 = 3 *1/2

x-2/3 = 3/2

Add 2/3 to each side

x-2/3 +2/3 = 3/2 +2/3

x= 3/2 +2/3

Get a common denominator of 6

x  = 3/2 *3/3    + 2/3 *2/2

x = 9/6 + 4/6

x = 13/6

6 goes into 13 2 times with 1 left over

x = 2 1/6

3 0
3 years ago
Read 2 more answers
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