Answer:
(3x - 4)(8x - 3)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 24 × 12 and sum = - 41
The required factors are - 32 and - 9
Use these factors to split the x- term
24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )
= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term
= (3x - 4)(8x - 3) ← in factored form
Answer: x = -3
set them equal to each other and reverse pemdas as shown in my image
If the given number is in base 2, that means
11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1
8 = 2³, and so we have
11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1
11100111₂ = 3 • 8² + 4 • 8 + 7
11100111₂ = 347₈
Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:
11 100 111
11₂ = 2 + 1 = 3
100₂ = 2² = 4
111₂ = 2² + 2 + 1 = 7
so again we get 347₈.
The equation of the line is
Step-by-step explanation:
The slope is
Also, the line passes through the points
To find a line with slope that passes through the points , let us use the equation of a line with slope that passes through the point is given by where m is the slope and are the points .
Thus, substituting the values in the equation of a line, we get,
Multiplying the term by -5, we get,
Adding both sides by 5x,
Subtracting 35 from both sides of the equation,
Thus, the equation of the line is
Fact #1:
A cube has six faces.
Fact #2:
Every one of them has the same area.
Fact #3:
The surface area of each face is (the length of the cube's side)²
Now that I look at this one more carefully, the only thing you need to know
to solve it is Fact #3. (But you can keep the others and save them for later.)
The surface area of each face is (the length of the cube's side)²
64 is the (length of the cube's side)²
Can you find a number that gives you 64 when you multiply it by itself ?
That's the length of the cube's side.
Hint: If you don't get ' 8 ', work on it a little more.