Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the equivalent to -2(4-3x)+(5x-2)
Using the associative property,
-2(4-3x) = -2(4)+2(3x)
= -8+6x
So,
-2(4-3x)+(5x-2) = -8+6x +5x-2
taking like terms together,
-2(4-3x)+(5x-2) = 6x+5x-8-2
= 11x-10
The equivalent expression is equal to (11x-10).
To solve your X int you substitute 0 for y.
X int-
-5x+9(0)=-18
-5x=-18
X= 18/5 and the coordínate is (18/5,0)
Then to solve for y int you substitute 0 for x.
-5(0)+9y=-18
9y=-18
Y= -2 and the coordinate is (0,-2)
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds
Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II
Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds
Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds
Hope this helps :)
J------------K------------L
8x+11 14x-1
<span>If K is the midpoint of JL then JK = KL
8x+11 = 14x-1
11 + 1 = 14x - 8x
12 = 6x
x = 12/6
x = 2
JK = 8x + 11 = 8*2 + 11 = 16+11 = 27
KL = JK = 27
JL = JK + KL = 27 + 27 = 54</span>
