Infinitely amounts of solutions because -3y and 3y cancel each other out which means no matter what y is the outcome will always be 4.
Answer:
The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B
Step-by-step explanation:
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x), which means the signs of the y-coordinates of the points on f(x) are opposite in g(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x), which means the signs of the x-coordinates of the points on f(x) are opposite in g(x)
∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)
∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)
∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)
→ By using the 2nd rule above
∴ g(x) is the image of f(x) after reflection across the y-axis
∴ The relationship between the graphs of the two functions is
"They are reflections of each other across the y-axis"
–2x<span> + 6. (</span>f<span> – </span>g)(x<span>) = </span>f<span> (</span>x<span>) – </span>g(x). = [3x + 2] – [4 – 5x]. = 3x + 2 – 4 + 5x. = 3x + 5x + 2 – 4. = 8x – 2. (f<span> × </span>g)(x) = [f<span> (</span>x)][g(x)]. = (3x + 2)(4 – 5x). = 12x + 8 – 15x2<span> – 10x ... of the </span>functions<span> at </span>x<span> = 2 and then work from there. It's probably simpler in this case to evaluate first, so: </span>f<span> (2) = 2(2) = 4. </span>g(2) = (2) + 4 = 6. h(2) = 5<span> – (2)</span>3<span> = 5 – 8 = –</span><span>3</span>
1.25 divided by 3/4, convert to decimals. 1.25/0.75 ≈ 0.66
