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
Answer:
y = -3.3 then -7.1
y = -7.1 then -10.9
y = -2.6 then -6.4
y = 1 then -2.8
y = 4.2 then 0.4
Step-by-step explanation:
(-3.8)+0+y can be simplified to -3.8 + y. Evaluate each value for y by substituting it into the expression and solving.
y = -3.3 then -3.8 + -3.3 = -7.1
y = -7.1 then -3.8 + -7.1 = -10.9
y = -2.6 then -3.8 + -2.6 = -6.4
y = 1 then -3.8 + 1 = -2.8
y = 4.2 then -3.8 + 4.2 = 0.4
Answer:
42 child and 70 adult
Step-by-step explanation:
Let a = number of adult tickets
c = number of child tickets
a+c = 112
2.25a + 1.75c = 231
Solve the first equation for a
a = 112-c
Substitute this into the second equation
2.25(112-c) + 1.75c = 231
Distribute
252 - 2.25c +1.75c = 231
Combine like terms
252 -.5c = 231
Subtract 252 from each side
252-252 -.5c = 231-252
-.5c = -21
Divide each side by -.5
-.5c/-.5 = -21/ -.5
c = 42
Now can find a
a = 112-c
a = 112-42
a = 70
Answer:
0.105 or 21/200
Step-by-step explanation:
2/8= 0.375 cups
0.375x0.72= 0.27 cups or 27/100
0.375-0.27= 0.105
Answer: -8
Explanation: If g(x) = x² + 2x - 8, then g(-2) = (-2)² + 2(-2) - 8
which simplifies to 4 + (-4) - 8 or 0 - 8 which is -8.
Remember to always use parentheses when
substituting your given value in for <em>x</em>.
