Y =mx+b Where m = slope And b = is y intercept Y=1/5x-4 Slope is 1/5Y intercept is -4
The graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have a polynomial function:
f(x) = x⁴ + x³ – 8x² – 12x
First, find the roots or zeros of the polynomial.
Using the factorization method:
We can write the above polynomial as:
f(x) = x(x³ + x² - 8x - 12)
Or
f(x) = x(x + 2)(x + 2)(x - 3)
Or
f(x) = x(x + 2)²(x - 3)
The zeros are:
x = 0
x = -2
x = 3
Thus, the graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
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Answer: 2
Step-by-step explanation:
Solution:
The equation solved by Bradley is
→4(5x – 6) = 2(8x + 10)
Step Work
1. 20 x – 24 = 16 x + 20 → [ Distributive property]
Taking variable on one side of equation
2 . 4 x – 24 = 20 → [Subtraction property of equality.]
Taking constant on one side of equation
3 . 4 x = 44 →[Addition property of equality.]
Dividing both sides by 4
4 . x = 11 → [Division property of equality.]
Out of all the four options given ,Fourth option [ 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality ], completely satisfies the work done in equation.
The answer to the given expression 3 - 3 × 6 + 2is -13. This expression is simplified using the concepts of PEMDAS.
In mathematics, an expression is a combination of numbers, variables, and operators that represents a mathematical value.
An expression consists of letters or numbers and mathematical operations.
For instance, the following expression: "2 + 3" is a mathematical expression that represents the value 5.
The operations are ordered as follows:
According to PEMDAS, first, the numbers inside the parentheses are operated, and then the exponential function is solved. Then after, multiplication took place, followed by division, addition, and at last subtraction.
.
Hence, we conclude that the answer to the above expression is -13.
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