First you get "y" by itself. To do so you divide 2 on both sides.
y = 3/2x + 5
To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.
You then use the equation:
y = mx + b
SInce you know "m" you plug it in.
y = 3/2x + b
Now you need to find b. To do so you plug in the point (2, -5) into this equation.
-5 = 3/2(2) + b
-5 = 3 + b
-8 = b
Finally you plug in b and you get your new equation.
y = 3/2x - 8
Answer:
24 pounds
Step-by-step explanation:
let Andy's bike be x pounds then Barry's bike is x + 6 ( 6 pounds more )
The total weight of their bikes is 42, hence
x + x + 6 = 42
2x + 6 = 42 ( subtract 6 from both sides of the equation )
2x = 36 ( divide both sides by 2 )
x = 18
Hence Barry's bike weighs x + 6 = 18 + 6 = 24
Answer:
Unit rate is $7 per pound.
6 pounds will cost $42
You can buy 10 pounds for $70
Step-by-step explanation:
28/4 = $7 --> Unit rate is $7 per pound.
7 × 6 = $42 --> 6 pounds will cost $42
70/7= 10 --> You can buy 10 pounds for $70
Answer:
D: -86.156
F: -3
Step-by-step explanation:
D: Convert Mixed numbers to improper fractions then remove the parenthesis and multiply the fractions. Next you have to multiply the numbers then again multiply the fractions. And once more you Multiply the numbers and finally you have to divide the numbers to get your answer.
F: Convert mixed numbers to improper fractions then cancel out whats not needed Which also means cross-cancel common factor: 4 then apply the rule a(-b)=-ab. Then again you cross-cancel common factor: 2 then last for this you will divide to get your answer.
We need to facto the trinomial:
Notice that the first term can be factored as:
Thus, one possible way of factoring the trinomial is:
When we multiply the terms represented by "?" and "??", we need to obtain -18. Thus, we need to factor -18 and try each pair of possible factors.
We have:
Notice that:
Then, the pair of factors of -18 must satisfy:
One possible pair of factors of -18, whose sum is 17, is: -1 and 18.
Using those numbers, we obtain:
Then, we see that:
is a way of factoring the given trinomial. Notice, though, that terms of the second factor can both be divided by 9. Then, we can write the expression as:
Then, the trinomial can be factored as:
