The line of the equation would be y = -1/4x + 11/16.
In order to find that, we'll put the ordered pair and the slope into slope intercept form. Then we can solve for the intercept.
y = mx + b
1 = -1/4(-5/4) + b
1 = 5/16 + b
11/16 = b
So then we put that in the equation with slope for the final equation.
Answer:
-49
Step-by-step explanation:
In order to fill in the given expression, we need to know ...
- f(-2) = -4
- f(-3) = 5
- f(-4) = 7
- g(0) = -7
- g(-3) = 3
Then the expression is ...
√(5 -(-4)) -(-7)² +7÷(-7)·(3) = √9 -49 +7/(-7)(3)
= 3 -49 +(-1)(3) = 3 -49 -3
= -46 -3 = -49
The length and width of the fence should be made 76.25 feet and 23.75 feet respectively. Also, the expression for the length is L = 3W + 5 and the perimeter is P = 2(4W + 5).
<h3>How to determine the fence's dimension?</h3>
Mathematically, the perimeter of a rectangle can be calculated by using this formula;
P = 2(L + W)
<u>Where:</u>
- P is the perimeter of a rectangle.
- L is the length of a rectangle.
- W is the width of a rectangle.
Since the length of this fence is 5 more than 3 times the width, we have:
L = 3W + 5
Substituting the given parameters into the formula, we have;
200 = 2(3W + 5 + W)
200 = 2(4W + 5)
200 = 8W + 10
8W = 190
W = 190/8
W = 23.75 feet.
For the length, we have:
L = 3W + 5
L = 3(23.75) + 5
L = 76.25 feet.
Read more on perimeter of a rectangle here: brainly.com/question/17107023
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The Equation: 25 + 15= 40. 40 x 5 = 200
The answer is 5 months
I am pretty positive this is correct. Sorry if I am wrong. Good luck!
The transformations are
- (b) A vertical shift 16 units downward.
- (d) A horizontal shift 16 units to the right
<h3>How to determine the transformation?</h3>
The functions are given as:
f(x) = x
g(x)= x - 16
When a function is shifted right, the transformation rule is:
(x, y) = (x - h, y)
This means that the transformation is (d) A horizontal shift 16 units to the right
Since the parent function is a base linear function.
The transformation can also be represented as:
(x, y) = (x, k - h)
This gives
g(x)= x - 16
This means that the transformation is (b) A vertical shift 16 units downward.
Hence, the transformations are (b) and (d)
Read more about transformation at:
brainly.com/question/11709244
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