Answer:
a) There is no solution to the equation.
b) Solution: x = 16
Step-by-step explanation:
Hi there!
a) Let´s write the equation:
√(x + 5) - 9 = -12
add 9 to both sides of the equation
√(x + 5) = -12 + 9
√(x + 5) = -3
Square both sides of the equation
x + 5 = 9
Subtract 5 to both sides
x = 9 - 5
x = 4
Let´s check the solution:
√(x + 5) - 9 = -12
√(4 + 5) - 9 = -12
√9 - 9 = -12
3 - 9 = -12
-6 ≠ -12
Then x = 4 is not a solution to the equation.
b) Let´s write the equation:
√(4x - 7) = √(3x + 9)
square both sides of the equation
4x - 7 = 3x + 9
subtract 3x and add 7 to both sides of the equation
4x - 3x = 9 + 7
x = 16
Let´s check the solution:
√(4x - 7) = √(3x + 9)
x = 16
√(4(16) - 7) = √(3(16) + 9)
√57 = √57
Then x = 16 is the solution to the equation
Answer:
20x² + 25 x + 8
Step-by-step explanation:
f(x) = 4x² + 5x + 3
g(x) = 5x -7
Then:
g(f(x)) = 5(4x² + 5x + 3) -7
g(f(x)) = 20x² + 25x + 15 - 7
g(f(x)) = 20x² + 25x + 8
A: there he ate 1/4 pound of strawberries
B: there is 4 1/8 pounds left.
C: he ate 8/24 pounds of strawberries leaving 4 1/24 pound left.
D: no cause on tuesday he ate more by 8/24 than 6/24 so answer would be 8/24>6/24.
Answer:
5
Step-by-step explanation:
the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.
