<h3>The solution is (x, y) = (-2, 3)</h3>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
4x + 5y = 7 ------ eqn 1
3x -2y = -12 ------- eqn 2
Multiply eqn 1 by 2
8x + 10y = 14 ------ eqn 3
Multiply eqn 2 by 5
15x - 10y = -60 ------- eqn 4
Add eqn 3 and eqn 4
8x + 10y = 14
15x - 10y = -60
( + ) -------------
23x = -46
<h3>x = -2</h3>
Substitute x = -2 in eqn 1
4(-2) + 5y = 7
-8 + 5y = 7
5y = 15
<h3>y = 3</h3>
Thus the solution is (x, y) = (-2, 3)
<h2>
Number of boards required is 24</h2>
Step-by-step explanation:
A builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps.

We need to build a fence that is 150 in long.
Length of fence = Number of boards required x Length of 1 board

Number of boards required = 24
Answer:
y = 3
Step-by-step explanation:
Substitute the given points into the function and solve for a and b
Using (2, 12)
12 = ab² → (1)
Using (5, 96)
96 = a
→ (2)
Divide (2) by (1)
=
, that is
b³ = 8 ( take the cube root of both sides )
b =
= 2
Substitute b = 2 into (1) and solve for a
12 = a2² = 4a ( divide both sides by 4 )
3 = a
Thus
y = 3
← is the exponential function
Answer:
p = 10.8
Step-by-step explanation:
Given that p is directly proportional to (p-1)² and p is always positive, then;
q = k (p-1)²
If q = 30 and p = 7
30 = k(7-1)²
30 = 6²k
30 = 36k
5 = 6k
k = 5/6
To get p when q = 80
q =k (p-1)²
80 = 5/6((p-1)²
480 = 5(p-1)²
480/5 = (p-1)²
(p-1)² = 96
p-1 = √96
p-1 = 9.8
p = 9.8 + 1
p = 10.8
B) 6
Ch 10.82