The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
<h3>What is transformation of a function?</h3>
Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
- Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
- Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.
The given function is,
This function is changed to the function,
Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.
Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
Learn more about the transformation of a function here;
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Answer:
1. $82,500
2. 169 : 110
Step-by-step explanation:
The computation is shown below:
Given that
1. Ratio between two computers is 3:2
And the first computer cost is $55,000
Let us assume the price of the second computer be x.
As we know that
Product of extremes = Product of mean.
2 : 3 :: 55000 : x .
Now cross mutiplication is to be done
2x = $55,000 × 3
x = $1,650,000 ÷ 2
= $82,500
2. Now if the price of the 2nd computer rised by $2,000
So the new cost would be
= $82,500 + $2,000
= $84,500
Now the ratio would be
= $55,000 : $84,500
= 169: 110
Answer:
Step-by-step explanation:
Final concentration % = [grams of salt / mililiters of solution] * 100
grams of salt = grams of salt from solution 1 + grams of salt from solution 2
grams of salt from solution 1 = mililiters * %/100 = 80 mililiters * 0.25 g/mililiters = 20 g
grams of salt from solution 2 = mililiters *%/100 = x*0.10 g/mililiters = 0.1x
mililiters of final solution = mililiters from solution 1 + mililiters from solution 2
mililiters of final solution = 80 mililiters + x mililiters
=> Final concentration, % = [0,10x + 20 g] / [x + 80 mililiters] * 100
Two lines are parallel if they intersect.
Answer:
1. X = 17/A --- answer is (A)
2. (6, 0.7) (10, 1.9)
3. $10.99D + $9.99 ≤ $100
Step-by-step explanation:
1. AX + 4AX = 51 + 2AX
5AX = 51 + 2AX .... -2AX both side
3AX = 51 .. divide 3A
X = 17/A --- answer is (A)
2. 10y = 3x -11
(2, 0.5): 3*2 -11 = - 5 10y = 10*0.5 = 5 ..... not correct
(4, 1) 3*4 - 11 = 1 10y = 10*1 = 10 ....... not correct
(6, 0.7) 3*6 - 11 = 7 10y = 10*0.7 = 7 .....Correct
(8,2.3) 3*8 -11 = 13 10y = 10*2.3 =23 ..... not correct
(10, 1.9) 3*10 -11 = 19 10y = 10*1.9 = 19 .... correct
3. 1D cost $10.99
D piece cost: $10.99D
Shipping: $9.99
No more than $100: ≤ 100
D piece DVD + Shipping withtotal no more than $100:
$10.99D + $9.99 ≤ $100
