The last number line the correct answer!
-2a-5>3
-2a>8
a<-4
( the sign is flipped in the end because when you multiply or divide by a negative number, the sign flips the other way around)
Answer:
23. 16x² + 4x + 0.25
24. 16x² - 4x + 0.25
Step-by-step explanation:
Given the functions f(x) = 4x + 0.5 and g(x) = 4x - 0.5, questions 23 and 24 are asking you to square the entire function. So, you will take the expression given in each function and square it:
(f(x))² = (4x + 0.5)(4x + 0.5) Using FOIL:
(4x*4x) + (4x*0.5) + (4x*0.5) + (0.5*0.5)
16x² + 2x + 2x + 0.25 = 16x² + 4x + 0.25
(g(x))² = (4x - 0.5)(4x - 0.5) Using FOIL:
(4x*4x) - (4x*0.5) - (4x*0.5) + (0.5*0.5)
16x² - 2x - 2x + 0.25 = 16x² - 4x + 0.25
Answer:
Take 10 and subtract 5 1/6
Ax^2 + bx + c is standard form
the LCD is 40,
so 25y + 120 -56x in standard form is -56x + 25y + 120
B = 25
Elga's age = x
Alvin's age = x + 7
x + x + 7 = 97.
Simplify the left side of the equation
2x + 7 = 97.
Subtract 7 from each side
2x = 90.
Divide each side by 2
x = 45
Since x is equal to Elga's age, Elga is 45 years old