Step-by-step explanation:
f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)
Combine like terms
5x^2 + 9x -4
f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)
Distribute the negative
(2x^2 + 5x +6) + (-3x^2 -4x + 10)
Combine like terms
-x^2 +x +16
Answer:
Boys : 210
girls: 240
Step-by-step explanation:
7+8=15
450/15=30
boys: 30*7= 210
girls: 240
to make sure......
210+240=450
Solve it by substitution. First let's rewrite the first equation (3x+4y=16) so we have y = something, then we'll substitue that in to the other equation.
3x+4y=16
4y=-3x+16
y=-3/4x+4
Now we can substitute this into the other equation.
Let's focus on 0.7*0.8 for now.
Start by drawing a large square. Cut this figure into 10 rows and 10 columns. So this means you'll have 10*10 = 100 little squares.
Now highlight the first 7 rows. Shade in all 70 squares (7*10 = 70)
Starting on the left side, highlight the first 8 columns. You'll shade in 80 squares (8*10 = 80)
Use different colors for your highlighting or somehow indicate different shading styles. This way you can see the overlapping region. The overlapping region consists of 56 squares (7 rows, 8 columns ---> 7*8 = 56 little squares)
Each little square represents 0.01, so having 56 of them means we have 0.56
This shows that 0.7*0.8 = 0.56
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How is this different if we had 1.7*0.8? Well we can break 1.7 into 1+0.7 to have
1.7*0.8 = (1+0.7)*0.8
1.7*0.8 = (1)*0.8+(0.7)*0.8
1.7*0.8 = (1*0.8)+(0.7*0.8)
The portion (0.7*0.8) was done earlier. That result was 0.56. So we just need to compute (1*0.8), which is simply 0.8; recall that 1 times any number is that number itself.
Now simply add 0.8 to 0.56 to get 1.36
So, 1.7*0.8 = 1.36
Answer:
111101011 subscript 2
Step-by-step explanation:
491 / 2 = 245 , 1 remainder
245 / 2 = 122 , 1 remainder
122 / 2 = 61 , 0 remainder
61 / 2 = 30 , 1 remainder
30 / 2 = 15 , 0 remainder
15 / 2 = 7 , 1 remainder
7 / 2 = 3 , 1 remainder
3 / 2 = 1 , 1 remainder
1 / 2 = 0 , 1 remainder
Now, we're going to put the remainders together in reverse order to get the final answer.
111101011 ---> this is the final solution
See the image below for how you would write 111101011 subcript 2.
