If he finished his last five spelling tests I’m thinking 81, and 85 are the ones that aren’t true
You are given either the x value or the y value.
Replace the x or y in the equation and solve for the missing values.
-4x + 5y = 3
First you are given x = 0:
So you have -4(0) + 5y = 3
Simplify:
0 + 5y = 3
Divide both sides by 5:
y = 3/5
Next you have x = 1:
-4(1) + 5y = 3
Simplify:
-4 + 5y = 3
Add 4 to both sides:
5y = 7
Divide both sides by 5:
y = 7/5
Third you are given y = 3
-4x + 5(3) = 3
Simplify:
-4x +15 = 3
Subtract 15 from both sides:
-4x = -12
Divide both sides by -4:
x = 3
Number of cone left is 75 cone
<u>Given that;</u>
Cost of each cone = $3.75 each
Starting number of cone = 300
Total amount earn = $843.75
<u>Find:</u>
Number of cone left
<u>Computation:</u>
Number of cone sale = Total amount earn / Cost of each cone
Number of cone sale = 843.75 / 3.75
Number of cone sale = 225 cone
Number of cone left = Starting number of cone - Number of cone sale
Number of cone left = 300 - 225
Number of cone left = 75 cone
Learn more:
brainly.com/question/4115571?referrer=searchResults
Answer:
Step 6 is missing the fact that the left hand side is raised to the second power.
Step-by-step explanation:
First cancel c from the left hand side by subtracting it from each side:
ax²+bx+c = 0
ax²+bx+c-c = 0-c
ax²+bx = -c
Next cancel a from the left hand side by dividing all terms by a:
ax²/a + bx/a = -c/a
x² + (b/a)x = -c/a
Next we will complete the square. We do this by dividing the second coefficient, b/a, by 2 and then squaring it; (b/a)÷2 = b/2a; (b/2a)² = b²/4a²
Add this to each side:
x²+(b/a)x+(b²/4a²) = -c/a + (b²/4a²)
Next we will find a common denominator on the right hand side. To do this, multiply the first term by 4a (to make the denominator 4a²):
x²+(b/a)x+(b²/4a²) = (-c*4a)/(a*4a) + (b²/4a²)
x²+(b/a)x+(b²/4a²) = -4ac/4a² + b²/4a²
We can write the left hand side as a squared binomial:
(x+b/2a)² = (b²-4ac)/4a²
Take the square root of both sides:
√(x+b/2a)² = √((b²-4ac)/4a²)
x+b/2a = √(b²-4ac)/2a
Subtract b/2a from each side:
x+b/2a - b/2a = √(b²-4ac)/2a - b/2a
x = (-b ± √(b²-4ac))/2a
1. Answer;
Force = 98.1 Newtons
Explanation;
-On the hanging mass the net force is
Fnet = Mh*g - T = Mh*a where Mh is the mass = 10kg, g = 9.81m/s², and T the tension in the string. Its acceleration is a ( same as g)
Thus; Force = 10 kg × 9.81 m/s²
= 98.1 Newtons.
2. Answer;
a = 4.905 m/s²
Solution;
-We know that that T = Ms*a, but Fnet = Mh*g - T = Mh*a
Substituting; T with Ms*a
Mh*g - Ms*a = Mh*a
Mh*a + Ms*a = Mh*g
a = Mh*g/(Mh + Ms)
= 10.0kg*9.81 m/s²/(10kg + 10kg)
= 4.905 m/s²