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Phoenix [80]
3 years ago
10

What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,

Mathematics
1 answer:
lidiya [134]3 years ago
6 0

Answer:

The common difference between successive terms in the sequence is -0.1

Step-by-step explanation:

Common difference in an arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

0.36, 0.26, 0.16, 0.06, -0.04, -0.14

Subtraction of each term by its predecessor. So

0.26 - 0.36 = 0.16 - 0.26 = -0.1

The common difference between successive terms in the sequence is -0.1

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Answer:

D

Step-by-step explanation:

it is a graph of x^{2}

5 0
3 years ago
Read 2 more answers
Please check my answers for me.
agasfer [191]
QUESTION 1

The given equation is

2.5(10 - x) + 10 = 72 - 1.5(5x + 12)
Clear the decimal by multiplying through by 10 to get,

25(10 - x) + 100 = 720 - 15(5x + 12)

Expand the bracket using the distributive property to get;

250 - 25x + 100 = 720 - 75x - 180

Group similar terms to get,

- 25x + 75x = 720 - 250 - 100 - 180

50x = 720 - 530

50x = 190

Divide through by 50 to get,

x = \frac{190}{50}

x = \frac{19}{5}

QUESTION 2

We want to solve the inequality,

16x \: > \: 12(2x - 6) - 24

We expand the bracket using the distributive property to obtain,

16x \: > \: 24x - 72 - 24

Group similar terms to get,

16x - 24x \: > \: - 72 - 24

Simplify to get,

- 8x \: > \: - 96

We divide both sides of the inequality by -8 and reverse the sign to obtain,

x \: < \: \frac{ - 96}{ - 8}

x \: < \: 12

QUESTION 3


Step 1.

Given:4(-6x – 3)+24x= -72x + 132

Step 2.

Distributive property:
-24x – 12 + 24x = -72x + 132

Step 3.

Combine like terms:
–12 = -72x + 132

Step 4.

Addition property of equality:

-144 = -72x

Step 5.

Division property of equality:

2=x

All the properties stated are correct.
3 0
3 years ago
X+4y=−3
VARVARA [1.3K]

Step-by-step explanation:

<u>Substitute x = -3, y = -3 into the </u><u>g</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>equation:</u>

- 3 + 4( - 3) =  - 3

<u>Simplify and Solve:</u>

- 3 +  - 12  \neq - 3

The point (-3, -3) doesn't satisfy the given equation.

6 0
3 years ago
What is the equation of the line below?
Licemer1 [7]

Answer:

y = -\frac{2}{3}x + 1

Step-by-step explanation:

The equation of the line shown can be expressed in the slope-intercept formula as y = mx + b

Let's find m = slope, and b = y-intercept.

Using two points on the line, (0, 1) and (1½, 0),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{\frac{3}{2} - 0} = \frac{-1}{\frac{3}{2}} = - \frac{2}{3}

y-intercept, b is where the line intercepts the y-axis = 1.

To create an equation for the line, substitute m = -⅔, b = 1 in y = mx + b.

✅The equation would be:

y = -\frac{2}{3}x + 1

4 0
3 years ago
Value of 5^-3 x 2^-1
Andreyy89

Answer: 1/250

Step-by-step explanation:

5^-3 × 2^-1

=> 1/5³ × 1/2

=> 1/125 × 1/2

=> 1/250

mark as brainly plss

3 0
3 years ago
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