Answer:
10
Step-by-step explanation:
x-1 = 0
x = 1
f(x) = 3x⁵+2x⁴+5
f(1) = 3(1)⁵+2(1)⁴+5
= 3+2+5
= 10
I hope this helps
Answer:
Actual height of church = 512 feet
Step-by-step explanation:
Given:
Scale model;
1 inch = 256 feet
Height of church (Scale model) = 2 inches
Find:
Actual height of church
Computation:
Actual height of church = Height of church (Scale model) x scale length
Actual height of church = 2 inches x 256 feet/inches
Actual height of church = 2 x 256 feet
Actual height of church = 512 feet
Answer:
D) 12x² - 20x + 7
Step-by-step explanation:
Use FOIL when multiplying 2 binomials...
FOIL is Firsts, Outsides, Insides, Lasts. It's the order in which you multiply the numbers in the binomials...
(2x - 1)(6x - 7)
Firsts: (2x)(6x) = 12x²
Outsides: (2x)(-7) = -14x
Insides: (-1)(6x) = -6x
Lasts: (-1)(-7) = 7
Now add them up...
12x² - 14x - 6x + 7
12x² - 20x + 7
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
Thw answer is 571430 because 28 rounds to 30
