We need to put this equation in y = mx + b form because in this form, the slope will be in the m position and the y intercept will be in the b position. So basically, we solve for y.
6x - 5y = 15 ....subtract 6x from both sides
-5y = -6x + 15...divide both sides by -5
(-5/-5)y = (-6/-5)x + (15/-5)...simplify
y = 6/5x - 3
y = mx + b...remember, m is ur slope and b is ur y int
y = (6/5)x + (-3).....ur slope(m) = 6/5 and ur y int (b) = -3
Start by taking the information we know, and write equations to represent the realationships:
1) "1/8 lbs less flour to make bread than to make cookies"
2) "1/4 lb more flour to make cookies than to make brownies:
3) "she used 1/2 lb of flour ro make bread"
From here you can solve for
using back substitution.
Answer:
x = 23 degrees
Step-by-step explanation:
sin theta = opposite side/ hypotenuse
sin x= 9/23
Take the arcsin of each side
arcsin( sinx) = arcsin (9/23)
x = arcsin (9/23)
x=23.03568411
Rounding to the nearest degree
x = 23 degrees
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
