Answer:
D is the answer gggcvfffbhfdchj
I believe Maine Coone would weigh more because its mean is 6.2 and that is a greater amount than 3.
6)
A quadratic function has the form
y = ax^2 + bx + c
Use point (3, 5) in the equation above:
5 = a(3^2) + 3b + c
5 = 9a + 3b + c
9a + 3b + c = 5 Equation 1
Use point (4, 3) in the equation above:
3 = a(4^2) + 4b + c
16a + 4b + c = 3 Equation 2
Use point (5, 3) in the equation above.
5 = a(5^2) + 5b + c
25a + 5b + c = 5 Equation 3.
Now solve the system of equations of equations 1, 2, and 3 to find the coefficients, a, b, and c.
9a + 3b + c = 5
16a + 4b + c = 3
25a + 5b + c = 5
Subtract the first equation from the second equation.
Subtract the second equation from the third equation.
You get
7a + b = -2
9a + b = 2
Subtract the first equation above from the second equation to get.
2a = 4
a = 2
Substitute:
7a + b = -2
7(2) + b = -2
b = -16
9a + 3b + c = 5
9(2) + 3(-16) + c = 5
18 - 48 + c = 5
c - 30 = 5
c = 35
The equation in standard form is
y = 2x^2 - 16x + 35
We can find it in vertex form:
y = 2(x^2 - 8x) + 35
y = 2(x^2 - 8x + 16) + 35 - 32
y = 2(x - 4)^2 + 3
When solving for a variable in an equation, get it separated from the others onto one side typically the left hand side and rest onto the opposite side usually the right hand side.
V = x / t
First, let us get the 't' variable out of denominator position and then it will be easier to work with.
V * t = (x / t) * t
Why did I multiply each side by 't' and not just the "x / t" expression? That is because every operation we do on one side, we must also do on the opposite side.
Okay, now we get the following equation.
V * t = x
We removed the 't' variable from denominator and in fact, it doesn't even exist anymore on the right hand side!
To complete this question, all we have to do is divide each side by 'V' and we are done!
(V * t) / V = x / V
Comes out to:
t = x / V
And there is your answer! Hope this helps with your adventure in learning Algebra!
Answer:
The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.
According to exterior angle theorem: It a triangle
Exterior angle = Sum of opposite interior angles
In triangle BED,
The measure of angle B is 54°.
In triangle ABC,
The measure of angle A is 51°.
In triangle AEF,
Using angle sum property,
Therefore the measure of angle AFE is 47°.