Answer:
Step-by-step explanation:
Given:
Vertex of the parabola is, 
Equation of the parabola in vertex form is given as:
Plug in 
. This gives,
Therefore, the equation of the given graph is
.
Answer:
Step-by-step explanation:
y intercept is <u>8.53 hrs</u>
-0.73(4) + 8.53 = <u>5.61 hrs</u>
slope is -<u>0.73 hr</u>
f(x)= -2x-3
Step-by-step explanation:
Step 1:
Let the sequence given here is -5, -7, -9, -11, -13 ......
Here the first term (a₁) of sequence is -5
And the common difference between the numbers in the sequence is
d= (-7-(-5)) = -7+5 = -2
Let the number of terms be x
Step 2;
To find the sequence function basic arithmetic sequence formula is
aₙ = a₁ + d( x-1)
Applying the values we get
f(X) = -5 + ((-2)(X-1))
on simplification
f(X) = -5 + (-2X+2)
f(X)= -5+2-2X
f(X)= -3-2X
Let's x represents the first odd integer
The next consecutive integer would be represented as x+2.
So x and x+2 being multiplied together will give us 1443:
(x)(x+2)=1443
x^2+2x=1443
x^2+2x-1443=0
By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.
Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.
With that said you 1st pair will be: 37,39
Your second pair will be: -37,-39.
The length and width of the rectangle are: 
<h3>What is the area of the rectangle?</h3>
The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The area of a rectangle is represented by the expression 
.
The area of the rectangle = 
=
So, the length and width of the rectangle are:
Learn more about the area;
brainly.com/question/1658516
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