Answer:
9+x<12
Step-by-step explanation:
add 9 to an unknown number.
9+x
use the < less than symbol (instead of an equal sign) and write 12.
30% , as:
Let the percentage of people preferring wooden skateboards be 'x'.
Therefore, x/100*643=209
x/100=209/643
x=209*100/643
x=20900/643
x=32.50.......
By rounding it off to 30, we get 30% as answer.
Answer:
x = 9
Step-by-step explanation:
You have to use the Secant Segment theorem:
AB * AC = AD * AE
This means that the external piece of the secant times the whole secant for one is equal to the external piece of the secant times the whole secant for the other.
Now, setup an equation:
8(x + 8) = 4(30 + 4)
Simplify:
8x + 64 = 120 + 16
8x = 72
x = 9
Answer:
(2x - 3) • (x + 4)
Step-by-step explanation:
Step 1 :
Equation at step 1 :
(2x2 + 5x) - 12
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2+5x-12
The first term is, 2x2 its coefficient is 2 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8
2x2 - 3x + 8x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-3)
Add up the last 2 terms, pulling out common factors :
4 • (2x-3)
Step-5 : Add up the four terms of step 4 :
(x+4) • (2x-3)
Which is the desired factorization