Let x be the number of running plays
Y be the number of
passing plays
Since the total plays is 110
X + y = 110
And total yard is 378
3x + 7y = 378
Using the first equation
X = 110 – y and substitute to the 2nd equation
3(110 – y) + 7y = 378
And solve for y
Y = 12
Substitute to eqution 1
X = 110 – 12 = 98
Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
Answer:
11. x = -16
12. k = 6
13. x = -19
14. x = -6
15. x = -20
16. Combining like terms isn't to be used on this type of problem. I'm sorry, can you guess on this one?
17. x = 19
18. n = -10
19. b = 11
20. n = 4
21. r = -6
22. n = -4
Again super sorry about question 16 :(
$412 i am pretty sure that is right if not i'm sorry but good luck :)
Answer:
They are 30.93 in³ altogether.
Step-by-step explanation: V = 4/3 π r³
r = 2.7/2 = 1.35
π x 1.35 x 1.35 x 4/3 = 10.31 in³
10.31 x 3 = 30.93