Answer:
x = 14.5
Step-by-step explanation:
<u>Step 1: Subtract 5x from both sides
</u>
7x − 12 - 5x = 5x + 17 - 5x
2x - 12 = 17
<u>Step 2: Add 12 to both sides
</u>
2x - 12 + 12 = 17 + 12
2x = 29
<u>Step 3: Divide both sides by 2
</u>
2x / 2 = 29 / 2
<em>x = 14.5
</em>
Answer: x = 14.5
Answer:
Step-by-step explanation:
1/4x + 1/2x + 1/4x = 360
4(2/4x + 1/2x = 360)
2x + 2x = 1440
4x = 1440
x = 360
1/4(360)= 90 Clermonth
1/2(360)= 180 Central
1/4(360)= 90 other schools
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:
-25
Step-by-step explanation:
You can take 10÷-⅖=-25
