1.
a. 12d² -6d
b. 6c^5 + 8c^4 -10c³
c. correct
2.
a. correct
b. correct
c. 12r^8-6r^4 + 9r^2, then multiply the rest by -1
3. correct
4. x² + 10
5. d=4, -1/3
Step-by-step explanation:
A. y-5=-4x+4
y=-4x+4+5
y= -4x +9
(0,9)(9/4,0)
Answer: (13 + y) / 5
Step-by-step explanation:
Since Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters, the total jewellery given to the sisters will be:
= 13 + y
Since there are 5 Carlson sisters, the number of pieces of jewelry that each sister receive will be:
= Total jewelries / Number of sisters
= (13 + y) / 5
Answer:
Highest received is by department Y
Step-by-step explanation:
Given that the research funds of a certain company were divided among three departments, X, Y, and Z.
The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
The research funds received by departments X and Z were in the ratio 2 to 1, respectively
X:Y = 3:5
X:Z = 2:1
X is common in both the equations so let us take lcd for 3 and 2 = 6
Multiply I equation by 2 and II equation by 3
X:Y = 6:10
X: Z = 6:3
Since X has the same numerical value we can combine these two tog et
X:Y: Z =6:10:3
Highest received is by department Y
Answer:
Step-by-step explanation:
Suppose, on the contrary, a and b are both odd integers, that is:
m and n being some integers numbers.
This way you have to:
The last expression cannot be divisible by 4 since 2 is not divisible by 4. The previous conclusion leads to a contradiction, which was generated from the assumption that a and b were both odd integers. In conclusion, at least one of the two a and b should be an even integer
