The answer is choice B in the upper right hand corner.
Choice B is the graph that is a straight line and it's a single unbroken straight line. There are no gaps or jumps or any kinds of bends like choice A shows. Choice A is an absolute value graph, which is the result of gluing together two linear functions. Overall, graph A is considered nonlinear. Choices C and D are nonlinear as well.
Answer:
x = 17
Step-by-step explanation:
∠6 and ∠7 are vertically opposite angles and thus are congruent, hence
4x = 2x + 34 ( subtract 2x from both sides )
2x = 34 ( divide both sides by 2 )
x = 17
The result of multiplying the polynomials is (2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
<h3>How to multiply the
polynomials?</h3>
The polynomial expression is given as
(2x + 3) (-x + 2y - 4)
Expand the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = 2x * (-x + 2y - 4) + 3 * (-x + 2y - 4)
Open the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 8x + -3x + 6y - 12
Evaluate the like terms in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
Hence, the solution is -2x² + 4xy - 11x + 6y - 12
Read more about polynomials at
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Answer:
a. 0.58
b. 0.78
Step-by-step explanation:
a. The probability of egg come from B1 or B2
P(B1) = 3000/10000 = 0.3
P(B2) = 4000/10000 = 0.4
P(P1 ∪ B2) = 0.3 + 0.4 -(0.3)(0.4)
P(P1 ∪ B2) = 0.7 - 0.12
P(P1 ∪ B2) = 0.58
b. The probability that the market received an egg that is acceptable
P(received an egg that is acceptable) = P(B1 acceptable) + P(B2 acceptable) + P(B3 acceptable)
P(received an egg that is acceptable) = 0.80*3000 + 0.90*4000 + 0.60*3000 / 10000
P(received an egg that is acceptable) = 2400 + 3600 + 1800 / 10000
P(received an egg that is acceptable) = 7800 / 10000
P(received an egg that is acceptable) = 0.78
4 - 3 - 6x³ - 2y³ + 3x³ + 5 + 2y³
4 - 3 + 5 - 6x³ + 3x³ - 2y³ + 2y³
6 - 9x³
