Answer:
−2 is a member of the domain of f.
f(0) > 0
Step-by-step explanation:
Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.
Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.
Statement 3 is TRUE.
f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.
Therefore, f(0) > 0.
Statement 4 is INCORRECT.
f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.
The product of the given polynomials is 12
y+8x²
.
The given polynomial is 4x²y(3x⁴+2y³).
We need to find the product of the given polynomials.
<h3>How to multiply the polynomials?</h3>
To multiply two polynomials: multiply each term in one polynomial by each term in the other polynomial. add those answers together, and simplify if needed.
Now, using the distributive property we get 4x²y(3x⁴+2y³)=4x²y×3x⁴+4x²y×2y³
=12
y+8x²
Therefore, the product of the given polynomials is 12
y+8x²
.
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Answer:
40
Step-by-step explanation:
The equation used to for slope intercept form is commonly used.
y = mx + b
Let us find the y-intercept first.
The place where the line crosses the y axis is 2.
y = mx + 2
Now, find the slope.
Find two points on the line, then solve.

Alright, I found two points on the line:- (-2,8) and (2, -4)

m = -12/4
m = -3
The slope is -3. The y-intercept is 2
Lets put them into the equation
y = -3x + 2
Final answer: <span>
B. y = -3x + 2</span>
The areas of the square pyramid are the amount of space on it
- The lateral surface area is 292.5 square cm
- The total surface area is 354.85 square cm
<h3>How to determine the lateral surface area?</h3>
The given parameters are:
Base (b) = 15 cm
Slant height (l) = 13 cm
The lateral surface area is calculated using:
L = 1.5bl
So, we have:
L = 1.5 * 15 * 13
Evaluate the product
L = 292.5
<h3>How to determine the total surface area?</h3>
This is calculated using:
T = L + 0.25√3b^2
So, we have:
T = 292.5 + 0.25√3 * 12^2
Evaluate
T = 354.85
Hence, the total surface area is 354.85 square cm
Read more about areas at:
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