Answer:
y = 2x - 10
Step-by-step explanation:
y2 - y1/ x2 - x1
0 - 2 / 5 - 6
= 2
y = 2x + b
2 = 2(6) +b
2 = 12 + b
-10 = b
The equation is y = 2x - 10
Answer: 14/3
Step-by-step explanation: (7/9) (6) = 54/9 = 14/3
We are tasked to determine the natural logarithm when x = 0.6.
x = 0.6, applying natural logarithm on both sides, we have it:
ln x = ln 0.6 using a scientific calculator, enter ln 0.6 and then this would give an answer of -0.5108256238
As per instruction, we are required to round the answer to the nearest hundredth such as the final answer is -0.51.
The answer is the letter "B".
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
Answer:
The correct option is C.
C) -x + 2
Step-by-step explanation:
In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.
Here in this case, the dividend is written.
-x² x x
which in the equation form is written as
-x² + x + x
add the x terms to simplify
-x² + 2x
The divisor is given as x, divide the equation by x:
(-x² + 2x)/x
(-x²/x) + (2x/x)
-x+2
Which is the quotient.
