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AleksandrR [38]
1 year ago
6

Solve the function. f(x) = x² + 2x - 1 f(-3) = [?]

Mathematics
1 answer:
Andrej [43]1 year ago
5 0

Answer:

2

Step-by-step explanation:

f(-3) represents f(x) evaluated at x=3.

f(-3)=(-3)^2+2(-3)-1 \\ \\ =9-6-1 \\ \\ =2

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John and Annie have two distinguishable ponds. Initially, each of the ponds contains four ducks and five geese. John first picks
Sladkaya [172]

Answer: 4/9

Step-by-step explanation:

The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)

Pt = Po+Pi

Since the total number of birds in the right pond is 10 after the addition of one by john

Po= 4/10

Pi= the of john adding a duck × the probability of annie picking the added bird

Pi= 4/9 × 1/10

Pi = 4/90

Pt= 4/10 + 4/90

Pt = (36+4)/90

Pt=40/90

Pt= 4/9

(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)

Thanks.

4 0
4 years ago
Consider the diagram below.<br> Which of the following statements is correct?
Nutka1998 [239]

Answer:

A

Step-by-step explanation:

The diagram shows two parallel lines XY and WV.

1. Parallel lines XY and WV are cut by transversal XW, then angles YXZ and VWZ are congruent as alternate interior angles.

2. Parallel lines XY and WV are cut by transversal YV, then angles XYZ and WVZ are congruent as alternate interior angles.

AA similarity theorem states if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

So, \triangle XYZ\sim \triangle WVZ by AA similarity

7 0
4 years ago
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A road sign has the shape of an equilateral triangle. If the sides of the sign measure 25 in., what is the height of the sign to
Sever21 [200]

Answer: socratic app

Step-by-step explanation:

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after the first hour of the monsoon 23 mm precipitation has fallen after the second hour a total of 61 mm of precipitation at Fa
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How to simplify 6 +8b^2 +3b -6 - 10b^2
kozerog [31]

Answer:

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Step-by-step explanation:

You just have to add like terms, which is the single numbers, the numbers with just the variables, and the numbers with variables that are squared.

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3 years ago
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