Answer:
8x⁴ - 7x³ + 12x
Step-by-step explanation:
=(4x⁴ + 7x + 5x³) + (8x⁴ + 6x³ - 3x)- (4x⁴ + 4x³ - 8x)
=4x⁴ + 7x + 5x³ + 8x⁴ + 6x³ - 3x - 4x⁴ - 4x³ + 8x
=4x⁴ + 8x⁴ - 4x⁴+ <em>5x³ + 6x³ - 4x³</em> + <u>7x - 3x + 8x</u>
=8x⁴ + 7x³ + 12x
10=7-m
Subtract 7 from both sides.
10-7=7-m-7
3=m
Answer:
f(g(x)) = 10x + 7
Step-by-step explanation:
(f . g)(x) = f(g(x)) is the composition of the functions f(x) and g(x).
f(g(x)) means that g(x) becomes the input for f.
Now, f(x) = 2x - 3 and g(x) = 5x + 5.
f(g(x)) = f(5x + 5)
= 2((5x + 5) - 3)
= 10x + 10 - 3
= 10x + 7
f(g(x)) = 10x + 7 is the required answer.
Answer:
The y-intercept of this line is 1.
Step-by-step explanation:
We are looking for the y-value when x=0. And that value is 1
Answer:
A. 2⅓ and D.1
Step-by-step explanation:
We are required to select the values of x that makes the inequality x>½ true.
A. 2⅓
B. 0
C.-1½
D. 1
E.-¾
Options C and E are negative numbers and are therefore less than the positive number ½.
Option B(i.e. 0) is also less than ½ or 0.5 and therefore do not satisfy the inequality given.
Options A and D are greater than ½ and therefore satisfies the inequality given.