2x^2 + 14x + 12 = 0
x^2 + 7x + 6 = 0
( x + 1 )( x + 6 ) = 0 ==》 x = - 1 Or x = - 6
Answer:
There were (4x + 2) grapes in the bowl
Step-by-step explanation:
Here, we are interested in calculating the total number of grapes in the bowl.
We have 3 people sharing the total
Damien are x grapes
Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes
Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes
And now, we have 6 grapes left.
To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.
Mathematically, that would be;
x + 1 + 2x + x -5 + 6
= 4x + 2
In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.
Now that we know the vertices of the surface
, we can parameterize it by
where
and
. The surface element is
With respect to our parameterization, we have
, so the surface integral is
<h2>
What we know</h2>
We know that Kate has 3/4 of a cake. She wants to cut the cake into 1/12 sized pieces.
<h2>What we need to know</h2>
We need to know how many slices of cake will she have?
<h2>Show your work</h2>
If Kate wants to cut 3/4 of her cake into 1/12 sized pieces, that would mean 1/4 of the whole cake is 12/12. If there are 3 of the 1/4 slices, then we would need to find out how much that is in twelfths by multiplying:
12 x 4 = 48
36/48 is equal to 3/4. If she is having 3/4, she is having 36 slices.
<h2>Check your work</h2>
To check our work we divide:
48 ÷ 12 = 4
<h2>Answer</h2>
Kate will have 36 slices of cake.
#LearnWithBrainly
<u>brainly.com/question/21087460</u>
