To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)
Answer:
The answers to each part are:
Part A.
- <u>The quantity of apples is one-third of the quantity of grapes</u>.
Part B.
- <u>The quantity of apples is a quarter of the quantity of strawberries</u>.
Part C.
- <u>The number of cherries is two-elevenths of the total fruit</u>.
Step-by-step explanation:
To identify the answer in each case, you must remember that all the parts are equal, then:
Part A.
The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:
So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.
Part B.
The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:
In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.
Part C.
First, you must add all the part of fruit:
- <em>1 part apple</em>
- <em>1 part orange</em>
- <em>4 parts strawberry</em>
- <em>2 parts cherry </em>
- <em>3 parts grape</em>
The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:
- 2 / 11 = 2/11 (two-elevenths)
Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.
Answer: I would say -8,-1
Step-by-step explanation:
