Answer:
-6x + 15 = - 69 which x = 14
Step-by-step explanation:
You cannot solve this equation. There is no equal sign anywhere. Either you mean
-6x = 15 in which case the answer is
-6x/-6 = 15/-6
x = - 2 1/2 or x= - 2.5
or you mean that you use the distributive property
- 3(2x + 5)
You may have left something out of this.
-6x + 15 = - 69
You can do it now that you have the complete equation. But you need the entire equation before you can answer the question.
Subtract - 15 from both sides.
-6x + 15 - 15 = -69 - 15
-6x = - 84
Divide by - 6
-6x/-6 = - 84/-6
x = 14
But what you want is
-6x + 15
-6*14 + 15
-84 + 15
-69
-6x + 15 = - 69
when x = 14 which is usually what you are asked.
This is a well known joke:
Why six afraid of seven? Because seven ate nine!
It is supposed to be a "word game" where instead of writing eight, the authour wrote ate, which sound the same but means something different.
Hope it helped,
Happy homework/ study/ exam!
Answer:
A linear equation in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, we know that the rate of change (the slope) is -5
Then we just replace a by -5
y = -5*x + b
Now we also know that this line passes through a point, and the point is (3, 0)
This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.
Replacing these values in our equation we get:
0 = -5*3 + b
0 = -15 + b
15 = b
Now we know the value of b, so we can replace it in the line equation to get:
y = -5*a + 15
Which is the complete equation of the line.
Answer:
dA/dt = k1(M-A) - k2(A)
Step-by-step explanation:
If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)
Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:
Rate forgotten = k2(A)
Where k2 is the constant of proportionality for the rate at which material is forgotten.
Finally, the differential equation for the amount A(t) is equal to:
dA/dt = Rate Memorized - Rate Forgotten
dA/dt = k1(M-A) - k2(A)
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