So he is over budget by $90 and he needs to allocate his bills to allow for it
Answer:
-x³ + 3x² - 14x + 12
Step-by-step explanation:
Area of outer rectangle = (x² + 3x - 4) * (2x - 3)
= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)
=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)
=2x³ + 6x² - 8x - 3x² - 9x + 12
= 2x³ + <u>6x² - 3x²</u> <u>- 8x - 9x</u> + 12 {Combine like terms}
= 2x³ + 3x² - 17x + 12
Area of inner rectangle = (x² - 1)* 3x
= x² *3x - 1*3x
= 3x³ - 3x
Area of shaded region = area of outer rectangle - area of inner rectangle
= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)
= 2x³ + 3x² - 17x + 12 -3x³ + 3x
= 2x³ - 3x³ + 3x² - 17x + 3x + 12
= -x³ + 3x² - 14x + 12
5/9 times 2 = 10/18
AND
5/6 times 3 = 15/18
15/18 is bigger SO
THE HOLE IS TO NOT BIG ENOUGH FOR THE SCREW.
Answers:
bio = 258
sociology = 169
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Work Shown:
x = number of bio textbooks
y = number of sociology textbooks
x+y = 427 books sold total
y = x-89 since 89 less sociology textbooks were sold compared to bio
Apply substitution to get the following
x+y = 427
x+x-89 = 427 ... replace y with x-89
2x-89 = 427
2x = 427+89
2x = 516
x = 516/2
x = 258 bio textbooks were sold
y = x-89
y = 258-89
y = 169 sociology textbooks were sold
To solve (8/5 + 4)7, you first have to add 8/5+4. But you cannot simply add the too because they have to be in a common denominator 'form'. To do that, we find a common denominator which is 5. We then multiply 4/1 by 5.
8/5 + 4/1= 8/5 +20/5.
Now you can solve; 8+20= 28. You leave the denominator as 5.
You get 28/5 and now you have to multiply it by 7/1. Another of saying 28/5 is 5 3/5. So 5 3/5 x 7/1= 39 2/10 (final answer)
