So your base equation would be y = 15x - 45
(The -45 is the free three months)
Then you would substitute 90 into the y position and solve, so your answer would be 9 months.
First you have to turn 8/10 and 1/3 into equivalent fractions. 8/10 turns into 24/30 and 1/3 turns into 10/30. 24/30 minus 10/30 equals 14/30. After u simplify 14/30 you get 7/15.
Your answer is 7/15
Answer:
h= 0.25c +4
Step-by-step explanation:
➀ Define variables
Assuming that you are asking for the equation representing the height of the stack, let's start by letting the height of the stack be h inches and the number of cups be c.
➁ Find the increase in height with every additional cup
If an additional cup is stacked on the first cup, the height increment is 0.25 inches. When 2 cups are added, the height increment is 2(0.25)= 0.5 inches. Thus the expression for the increase in height is 0.25c, where c is the number of cups as we have already defined in step 1.
➂ Find the total height of the stack
Since the height of the first cup remains constant at 4 inches tall, the total height of the stack can be represented by the equation:
h= 0.25c +4
Answer:
Step-by-step explanation:
ax² + bx + c = a(x - 
)(x - 
)
D = b² - 4ac
= ( - b ± √D ) / 2a
~~~~~~~~~~~~
Let x² = y , then y² + 8y - 9
Find the roots of equation y² + 8y - 9 = 0
D = 64 + 36 = 100 = 10²
= ( - 8 - 10) / 2 = - 9
= ( - 8 + 10) / 2 = 1
y² + 8y - 9 = (y - 1)(y + 9) = (x² - 1)(x² + 9)
x² = 1 ⇒ = ± √1
+ 8x² - 9 = (x - 1)(x + 1)(x² + 9)
You distribute the -4 with the -8x and -8 which results in 32x+32.
