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pishuonlain [190]
3 years ago
10

If f ( x ) = 1 3 x − 5 , what is f ( − 6 ) ?

Mathematics
1 answer:
RoseWind [281]3 years ago
6 0

Answer:

-4

Step-by-step explanation:

by finding the exact value.

You might be interested in
Determine if the triangles in the figure are congruent
valkas [14]

Answer:

The triangles are congruent by Angle Side Angle congruency statement and the reason is below.

Step-by-step explanation:

Given:

∠ VUW ≅ ∠ XYW

VW ≅ YW

To Prove:

Δ VUW ≅ Δ XYW

Proof:

In Δ VUW and Δ XYW

∠ VUW ≅ ∠ XYW      ……….{Given}

VW ≅ YW                 ............{Given}

∠ VWU ≅ ∠ XWY    …………..{Vertically Opposite Angles are equal}

Δ VUW ≅ Δ XYW   .….{ By Angle-Side-Angle congruence test}

......Proved

6 0
2 years ago
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosin
Andre45 [30]

Answer:

1. Arithmetic: Add 3,500

The annual raise of 3,500 means add 3,500 to the previous year's salary

60,000 + 3,500 = 63,500

63,500 + 3,500 =  67,000

67,000 + 3,500 = 70,500

70,500 + 3,500 = 74,000

74,000 + 3,500 = 77,500

Geometric: Multiply by 1.05

The annual raise by 5% of his current salary means multiply by 1.05.

60,000 x 1.05 = 63,000

63,000 x 1.05 = 66,150

66,150 x 1.05 = 69,457.50

69,457.50 x 1.05 = 72,930.38 rounded

72,930.375 x 1.05 = 76,576.89

The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)

2a. Arithmetic - New salary is $3,500 greater each year than last year's salary

S = 60,000 + 3500(n-1)

Geometric - New salary is 5% more each year than last year's salary

60,000 + (1.05)^(n-1)

2b. Arithmetic Earnings over 3 years

60,000 + 63,500 + 67,000 = 190,500

Geometric Earnings over 3 years

60,000 + 63,000 + 66,150 = 189,150

There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two

3.Arithmetic

a(9) = 3,500 + a(9-1)

a(9) = 3,500 + 89,000

a(9) = 92,500

Geometric

a(9) = 1.05 x a(9-1)

a(9) = 1.05 x 84,425.90

a(9) = 88,647.20

4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.

Step-by-step explanation:

Pls brain list

8 0
3 years ago
Please help me!! ......
fenix001 [56]

Answer:

b)480 cm^2

Step-by-step explanation:

perimeter=(16+12+20) cm

=48 cm

lateral surface area= perimeter × height

=48×10 =480 cm^2

4 0
3 years ago
John sells apples for $5 per bunch and watermelons for $3 a piece. He made $100 today and sold 10 watermelons. How many bunches
harina [27]

Answer:

14

Step-by-step explanation:

3*10=30

5*14=70

30+70=100!!!  

4 0
2 years ago
Read 2 more answers
3x + 3 = 2x + 12 i need help for this answer
Flura [38]

Answer:

x=9

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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