Which expression can be used to find the sum of the polynomials? (9 – 3x2) + (–8x2 + 4x + 5)

Mathematics

1 answer:

Brums [2.3K]4 years ago

6 0

Answer:

- 11x² + 4x + 14

Step-by-step explanation:

Given

(9 - 3x²) + (- 8x² + 4x + 5) ← distribute both parenthesis by 1

= 9 - 3x² - 8x² + 4x + 5 ← collect like terms

= - 11x² + 4x + 14 ← sum of the polynomials

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor

xenn [34]

Answer:

The required probability is $\dfrac{13}{50}$

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle $\times$ Probability of selecting a lemon bottle out of water bottles.

Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle $\times$ Probability of selecting a lemon bottle out of tea bottles.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$