Answer:
6x² + 4x + 10
Step-by-step explanation:
(2x - 2)(3x + 5)
2x(3x + 5) - 2(3x + 5)
6x² + 10x - 6x + 10
6x² + 4x + 10 ans.
hope this helps you !
Answer:
114.666666667
Step-by-step explanation:
Step 1:
6/86 = 8/x Equation
Step 2:
6x = 688 Multiply
Step 3:
x = 688 ÷ 6 Divide
Answer:
x = 114.666666667
Hope This Helps :)
Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
Answer:
He have <u>47</u> ducks and <u>7</u> cows.
Step-by-step explanation:
Given:
Farmer Jones raises ducks and cows.
He looks out his window and sees 54 animals with a total of 122 feet.
Now, to find the each type of animal he have.
Let the number of ducks be 
And the number of cows be 
So, total number of animals are:
....( 1 )
As, the feet of cows are 4 and ducks are 2.
Now, the total number of feet are:
Substituting the value of 
from equation (1) we get:
<em>Subtracting both sides by 108 we get:</em>
<em>Dividing both sides by 2 we get:</em>
<em>The number of cows = 7.</em>
Now, to get the number of ducks we substitute the value of 
in equation (1):
<em>The number of ducks = 47.</em>
Therefore, he have 47 ducks and 7 cows.
Answer:
105
Step-by-step explanation:
add up the terms including x it gives 545+x/6=103
multiply both sides by 6 it will gives you 545+x=618
then collect like terms you have x=618-546
then you have 73 as your answer
