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padilas [110]
3 years ago
15

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0

Answer:

a. T² - T¹ = d ( A. P) -5

b. T²/T¹ = r (G. P) 3/4

Step-by-step explanation:

a. 15 - 20 = -5

b. 15/20 = 3/4

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JWISOSOOS someone help me n show me how to do it 2. Thanks goodnight:>>
posledela

Answer:

2/3(3x+9)=-2(2x+6)

2/3(3x+2x)=-2(9+6)

2/3×5x=-2+15

10x/3=13

3x=13

x=13-3

x=10

4 0
3 years ago
What is the value in cents of 2 quarters 3 dimes and 4 nickles
Nuetrik [128]

Answer: 2 quarters = 50 cents, 3 dimes = 30 cents, 4 nickels =20 cents. 50+30+20=100 cents.


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
A 3 L bottle of oil costs $36 and contains 12 cups. Dinesh puts 1 cup of oil, 10 garlic gloves and 1 cup of lemon juice in each
lys-0071 [83]

Answer:

$15

Step-by-step explanation:

Let's start by figuring out how much 1 cup of oil costs.

12 cups of oil is 36$

Let's set up a proportion.

12/36=1/x

Cross Multiply

12x=36

Divide both sides by 12.

x=3

1 cup of oil is $3.

Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.

5*1=5

This means he needs 5 cups of oil.

5*3=15

He used $15 worth of oil in the 5 batches of his recipe.

However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.

7 0
3 years ago
Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t
andrew-mc [135]

Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

  • A(-3,3)→A'(5,3);
  • B(1,-3)→B'(1,3);
  • C(-3,-3)→C'(5,-3).

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

  • A'(5,3)→A''(10,6);
  • B'(1,3)→B''(2,6);
  • C'(5,-3)→C''(10,-6)

See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

7 0
3 years ago
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ExtremeBDS [4]

Answer:

-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2

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