Answer:
-4 and -3.
Step-by-step explanation:
Let the numbers be x and x+1.
From the given information:
x^2 + (x + 1)^2 + x = 21
x^2 + x^2 + 2x + 1 + x - 21 = 0
2x^2 + 3x - 20 = 0
(2x - 5 )(x + 4 ) = 0
x = 5/2 or -4 We ignore 5/2 as its not an interger
So the required integers are -4 and -3.
Using translation concepts, the changes are described as follows:
a) The function is vertically stretched by a factor of 3, and shifted down 2 units.
b) The function is shifted 1 unit right and 4 units down.
c) The function is horizontally compressed by a factor of 2 and shifted up 5 units.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The changes are as follows:
- y -> 3y, hence the function is vertically stretched by a factor of 3.
- y -> y - 2, hence the function is shifted down 2 units.
Item b:
The changes are as follows:
- x -> x - 1, hence the function is shifted right 1 unit.
- y -> y - 4, hence the function is shifted down 4 units.
Item c:
The changes are as follows:
- x -> 0.5x, hence the function is horizontally compressed by a factor of 2.
- y -> y + 5, hence the function is shifted up 4 units.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
Two expressions equivalent to 48j + 36.
Use distributive property of multiplication.
<u>Since 6 is the factor, divide each term by 6 to get the other factor;</u>
- 48j + 36 =
- 6*8j + 6*6 =
- 6*(8j + 6) =
- 6*2(4j + 3)
7/9. 1/9 plus 2/3. You have to get the lest common denominator, so change 3 to 9 by multiplying it by three. Remember, you have to do the same thing you do to the denominator to the numerator. So, 2/3 would be 6/9. 6/9 plus 1/9 is easy, basic facts. 1 and 6 is 7, and you put the nine under. You get 7/9
Answer:
Well you see Is this GCSE