8x-6>-9x+5x
8x-6>-4x
8x+4x>6
X>1/2
Answer:
a = 0.4 and b=1.6
Step-by-step explanation:
Both expressions are simply divided
(2x + 8y = 60) ÷ (ax + by = 12)
60÷12 = 5, Hence coefficient of x and y in the bigger equation is divided by 5 to find a and b
2/5 = 0.4 = a
8/5= 1.6 = b
Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.
To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:
1) y < 2x – 1
3<2(2)-1
3<3 Not True.
2)y ≤ 2x – 4
3≤ 2(2) -4
3≤ 0 .Not true.
3) y > 2x – 4
3> 2(2)-4
3> 0 True.
4) y < 2x + 4
3<2(2)+4
3<8 True
5) .y < 3.5x – 4
3< 3.5(2)-4
3<3 Not true
6) y < 4x – 4
3<4(2)-4
3<4 True.
Options 3 ,4 ,6 holds true for the point (2,3)
Answer:
<em>k=2/3</em>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form <em>y/x = k or y = kx</em>
In this problem we have <em>3y = 2x</em>
Isolate the variable y
Divide by 3 both sides
<em>y = 2/3x</em>
Remember that
In a proportional relationship the constant of proportionality k is equal to the slope m of the line
The slope of the line m is
<em>m = 2/3</em>
therefore
The constant of proportionality k is
<em>k = 2/3</em>
<em>I hope this helped have a wonderful day/night ! <3 </em><em>(depends what time it is)</em>
Multiply amount sold by commission rate:
4500 x 0.13 = 585
She made $585 last week.
Multiply amount made in 1 week by 52 weeks ( 1 year = 52 weeks)
585 x 52 = 30,420
She made $30,420 in 2011