For question 3. A
4. A
5. B
Answer:
-2.5
I got -2.5 as slope because slope is equal to rise over run so that means
the equation would turn out as -29+9/15-7=-20/8
-20/8=-2 4/8,-2 1/2,1/2=0.5,so the answer turns into -2.5
Answer:
goldfish is 15 and guppies is 11
Step-by-step explanation:
Given data
let the number of goldfish be x
and the number of guppies be y
so
x+y= 25----------1
and
3x+4y= 86-------2
solve 1 and 2
x+y= 25
3x+4y= 86
from 1
x= 25-y
put this in 2
3(25-y)+4y= 86
75-3y+4y= 86
75+y= 86
y= 86-75
y=11
put y= 11 in 1
x+11= 26
x= 26-11
x= 15
Hence goldfish is 15 and guppies is 11
Answer:
1) 15a - 15c + 3
2) -7n + 31 + 13m + 7p or 13m - 7n + 7p + 31
3) 44x + 6y + 3
4) 9m - 6n + 23
Step-by-step explanation:
1. Add like terms. 6a + 9a=15a. -8c - 7c=-15c
2. Add like terms. You can rearrange them in descending order based off of exponents and variables.
3. Multiply what's in parentheses first (distribute the 6). It should end up being (6y + 42x). Then you add like terms and put in descending order.
4. Distribute the (-3) to what in the parentheses. It should end up being (-6n + 15 - 3m). Then you add like terms and put the expression in descending order.
Answer:
See Explanation
Step-by-step explanation:
(a) Proof: Product of two rational numbers
Using direct proofs.
Let the two rational numbers be A and B.
Such that:
The product:
Proved, because 1/3 is rational
(b) Proof: Quotient of a rational number and a non-zero rational number
Using direct proofs.
Let the two rational numbers be A and B.
Such that:
The quotient:
Express as product
Proved, because 3/4 is rational
(c) x + y is rational (missing from the question)
Using direct proofs.
Let x and y be
Such that:
The sum:
Take LCM
Proved, because 7/6 is rational
<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>
