Answer:
Amount invested at 8 % rate = x = $ 15000
Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000
Step-by-step explanation:
Total Amount = $ 34000
Let amount invested at 8 % rate = x
Amount invested at 9 % rate = $ 34000 - x
Total interest = $ 2910
291000 = 8 x + 306000 - 9 x
x = 306000 - 291000
x = 15000
So amount invested at 8 % rate = x = $ 15000
Amount invested at 9 % rate = 34000 - x = 34000 - 15000 = $ 19000
D. y = 9 because it has a complete zero slope while the y-intercept of the equation is 9, so the equation is y = 9.
Just do a line crossing another in a angle of 90°
1 is linear pair with 2, 2 is linear pair with 3, 3 is linear pair with 4 and 4 is linear pair with 1.
Question 1)
Let "y" denotes the number of yards and "m" denotes the number of meters. According to the give statement, measurement in yards can be changed to measurement in meters by multiplying the measure in yards by 0.9144.
So,
Measure in Meter = 0.9144 x Measure in Yards
m = 0.9144y
Question 2)
We are to convert 7200 yards into meters. Using the values in above equation we can write:
m = 0.9144 x 7200
m = 6583.68 meters
This means 7200 yards are equivalent to 6583.68 meters..
Question 3)
We are to convert 2500 meters to yards.
Using the value in above equation, we get:
2500=0.9144y
⇒
y = 2500/0.9144
y = 2734.03 yards
So this means 2500 meters are equivalent to 2734.03 yards.
Answer:
Step-by-step explanation:
<em>7).</em> x + y = 4 ⇒ y = 4 - x -----> xy = - 96
x(4 - x) = - 96 ⇔ x² - 4x - 96 = 0
D = ( - 4)² - 4(1)(- 96) = 400 = (20)²
= (- ( - 4) - 20) ÷ 2(1) = - 8
= ( - ( - 4) + 20) ÷ 2 = 12
Numbers are <em>- 8</em> and <em>12</em>
<em>8).</em> <em><u>It's your turn now. You can do it</u></em>
<em>9).</em> x² - 5x + 3 = 0
0 < < 1
4 < < 5
<em>10).</em> - x² + 3x + 1 = 0
-1 < < 0
3 < < 4
<em>11).</em> x² + 2x - 2 = 0
- 3 < < - 2
0 < < 1