Answer: Second option.
Step-by-step explanation:
1. To solve this problem you can applly the quadratic formula, which is shown below:
2. The quadratic equation is:
3. Then:
a=1
b=-10
c=-10
4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:
x=5±√35
He ate 8/15 of a pound of the cookies.
If we are looking for 4/5 of something, we just multiply the amount by 4/5.
To multiply fractions, just multiply straight across.
2 x 4 = 8 in the numerator
3 x 5 = 15 in the denominator
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
10x + 7y = - 8 → (1)
7x + 7y = - 14 → (2)
Subtract (2) from (1) term by term to eliminate y
(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is
3x = 6 ( divide both sides by 3 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
10(2) + 7y = - 8
20 + 7y = - 8 ( subtract 20 from both sides )
7y = - 28 ( divide both sides by 7 )
y = - 4
solution to the system of equations is (2, - 4 )
Answer:
<u>t = t₀ - 3n</u>
Step-by-step explanation:
Let t be the temperature and t₀ be the initial temperature of the day
Let n be the number of hours after the initial temperature ( t₀) was registered
Let -3 be the constant of change of temperature ( In 4 hours it went down 12 degrees)
Now, let's write down the expression that shows the temperature change each hour, this way:
t = t₀ - 3n
After 2 hours
t = t₀ - 3 * 2 = t₀ - 6
After 5 hours
t = t₀ - 3 * 5 = t₀ - 15
After 3 hours and 30 minutes
t = t₀ - 3 * 3.5 = t₀ - 10.5
