s = 6 + e
s + e = 28
We can use this system of equations to find the exact values of s and e.
We have a current value of s, so we can find the exact value of e now.
e + e + 6 = 28
<em><u>Combine like terms.</u></em>
2e + 6 = 28
<em><u>Subtract both sides by 6.</u></em>
2e = 22
<em><u>Divide both sides by 2.</u></em>
e = 11
Now we have an exact value of e, and can solve for the value of s.
s = 6 + 11
s = 17
Sophia is 17 years old, and Eric is 11 years old.
Find b of y = mx + b first using a modified version of the equation.
b = y - mx
b = -1 -(1.2×-3)
b = 13/5 = 2.6
y = 1.2x + 2.6 ← result of substituting values of m and b into y = mx + b
-1.2x + y = 2.6 ← result of subtracting 1.2x from both sides
12x - 10y = -26 ← result of multiplying previous equation by -10
6x - 5y = -13 ← result of dividing previous equation by 2
ANSWER: 6x - 5y = -13
Answer:
Hence, option: B is correct (11.02 seconds)
Step-by-step explanation:
Spencer hits a tennis ball past his opponent. The height of the tennis ball, in feet, is modeled by the equation h(t) = –0.075t2 + 0.6t + 2.5, where t is the time since the tennis ball was hit, measured in seconds.
Now we are asked:
How long does it take for the ball to reach the ground?
i.e. we have to find the value of t such that height is zero i.e. h(t)=0.

or 
i.e. we need to find the roots of the above quadratic equation.
on solving the equation we get two roots as:
t≈ -3.02377 and t≈11.0238
As time can't be negative; hence we will consider the value of t as t≈11.0238.
Hence it takes 11.02 seconds for the ball to reach the ground.
Hence option B is correct (11.02 seconds).
Answer:

Step-by-step explanation:
Given
When mass = 4kg; Acceleration = 15m/s²
Required
Determine the acceleration when mass = 10kg, provided force is constant;
Represent mass with m and acceleration with a
The question says there's an inverse variation between acceleration and mass; This is represented as thus;

Convert variation to equality
; Where F is the constant of variation (Force)
Make F the subject of formula;

When mass = 4kg; Acceleration = 15m/s²


When mass = 10kg; Substitute 60 for Force



Divide both sides by 10


<em>Hence, the acceleration is </em>
<em />
5 apples is the correct answer:)