Answer:
3,498.921
Step-by-step explanation:
Answer:
(x - 8)(2x + 3)
Step-by-step explanation:
To factor a polynomial of the form
ax² + bx + c,
follow these steps:
1) Multiply ac together.
2) Find 2 factors of ac that add to b. Call these factors p and q.
3) Break up the middle term of the polynomial into px + qx.
4) Factor by grouping.
Now let's follow the steps above with your problem.
You are given the polynomial
2x² - 13x - 24,
so a = 2, b = -13, and c = -24
1) Find ac.ac is the product 2(-24) = -48
2) Now we need to find 2 factors of -48 that add to b, -13.
I know that 48 = 3 × 16, so if we use -16 and 3 for the two numbers, we have
-16 + 3 = -13
and -16 × 3 = -48.
3) Now we break up the middle term of the polynomial, -13x, into -16x + 3x.
The polynomial is now
2x² - 16x + 3x - 24
4) We factor the polynomial by grouping. To factor by grouping, you factor a common factor out of the first 2 terms and factor out a common factor out of the last two terms.
2x² - 16x + 3x - 24 =
= 2x(x - 8) + 3(x - 8)
We now see the common factor of x - 8, so we factor that out.
= (x - 8)(2x + 3)
Answer: (x - 8)(2x + 3)
We estimate the diameter of the larger wheel to be 24 to 25 inches.
The formula for the Circ. of a circle in terms of the diameter is C = pi*d.
Here, the Circ. of the larger wheel is approx C = pi(24 inches) = 24*pi inches,
or
24(3.14) inches = 75.36 inches. You must now choose from the four answer choices. Which one is closes to 75.36 inches?
The answer is A
ABC is translated 1 unite to the right then rotated 180 Clockwise about the original
The answer is y = 2x + 3.
x - Kay's age
y - Jane's age
m - Mary's age
<span>Jane is 3 years older than Mary: y = m + 3
</span><span>Mary is twice as old as Kay: m = 2x
</span><span>
y = m + 3
m = 2x
Substitute m in the first equation:
y = 2x + 3
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