Answer:
length = 8m and width = 5.5m
Step-by-step explanation:
Let the width be w
Length = 2w - 3
Given, Area = 44m2
Remember, area = length x width
Area = (2w - 3) X w. (expand the bracket)
Area = 2w² - 3w
2w² - 3w = 44
2w² - 3w - 44 = 0
Solve the quadratic equation
2 Factors of -44 that the sum would give -3 = +8 & -11
Rewrite the equation
2w² +8w - 11w -44 = 0 (factorise)
2w(w +4) - 11 ( w + 4) = 0
(2w - 11) ( w + 4) = 0
2w - 11 =0 or w + 4 = 0
2w = 11 or w = -4
W = 11/2 or -4
Width = 5.5m because we can't have a width that is negative.
Therefore length = 2w - 3
Length = 2(5.5) - 3
Length = 11 -3
Length = 8m
Dimension of rectangle is length = 8m and width = 5.5m
That is 8m by 5.5m
I hope this was helpful, Please mark as brainliest.
Answer:
32
4 cups
Step-by-step explanation:
Solutions
1) <span>Lets use n as alex's number
</span>⇒ n x 1000
⇒ n ÷ 10
⇒ = 475
To solve the problem do the opposite steps
475 ÷ 1000 = n
n = <span>0.475
</span>
0.475 x 10 = n
n = 4.75
CHECK YOUR WORK
4.75 x 1000 = 4750
4750 ÷ 10 = 475
The answer is correct
⇒ The answer Alex is thinking of is 4.75
Answer: Han’s backpack is 16.05 pounds heavier than Priya’s.
Step-by-step expl
9514 1404 393
Answer:
- f(x) = x
- g(x) = -2x+1
- f(x) -(-g(x)) = -x+1
- f(x) +g(x) = -x+1
- f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not
Step-by-step explanation:
We can define a couple of linear functions as ...
f(x) = x
g(x) = -2x+1
Then the reflected function -g(x) is ...
-g(x) = -(-2x +1) = 2x -1
And the difference from f(x) is ...
f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))
We want to compare that to the sum of the functions:
f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)
The two versions of the function expression have the same value.
These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.