I guess by slope, you mean gradient.
By knowing the gradient, and a coordinate at which the line passes through, we can use:
y - y1 = m(x - x1)
to get the equation of the line in the form (y = mx + c).
y - 5 = (-3 / 4)(x - 4)
y - 5 = (-3 / 4)x + 3
Rearrange.
y = (-3 / 4)x + 8
The answer is A. You can check by plugging in the numbers for x.
You don’t need to do the math, think logically.
35% is almost 33%.
1/3 (33%) of 64,000 is 21,000.
The closest choice is H. 22,400.
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)
Alright, so plugging it in, we get 2(-4)^2=2(2)^4+3^2-(-4)^2+2^4. Use PEMDAS with parenthesis and exponents to then get (2)(16)+9-16+16. Multiplying 1 and 16, we get 32+41-16+16=73
