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3 years ago

9

Which of the following is true about the sequence graphed below? (and Why)

2 answers:

WITCHER [35]3 years ago

5 0

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

MatroZZZ [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

$a_n=-1.5n+12$

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The circle below is centred at point (2,-1) and has a radius of length 3 what is its equation ?

NeTakaya

Answer:

Option C

Step-by-step explanation:

The standard form of equation of a cirle is:

(x-h)^2+ (y-k)^2=r^2

In the given question as the point is given and the radius of circle is given:

So,

(h,k)=(2,-1)

and

r=3

Here,

h=2

k= -1

Putting the values of h,k and r in standard form

(x-2)^2+ (y-(-1))^2=(3)^2

(x-2)^2+ (y+1)^2=(3)^2

So the equation of circle is:

(x-2)^2+ (y+1)^2=9(3)^2

Option C is the correct answer ..

7 0

3 years ago

The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?

elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

$15x+7y=15$

The given inequality is

$15x+7y\geq 15$

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

$15(0)+7(-3)\geq 15$

$-21\geq 15$

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

$15(-3)+7(0)\geq 15$

$-45\geq 15$

This statement is false, therefore option b is incorrect.

Check the point (3,3),

$15(3)+7(3)\geq 15$

$66\geq 15$

This statement is true, therefore option c is correct.

Check the point (-3,-3),

$15(-3)+7(-3)\geq 15$

$-66\geq 15$

This statement is false, therefore option d is incorrect.

7 0

3 years ago

Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42

Margarita [4]

Answer:

6, 8 and 10

Step-by-step explanation:

2x+3(x+4)=42

5x+12=42

5x=30

x=6

The numbers are 6, 8 and 10.

6 0

3 years ago

Please help me asap!!

Katena32 [7]

Answer:

Step-by-step explanation:

TU/26=(TU+24)/(26+39)

TU/26=(TU+24)/65

65TU=26TU+624

39TU=624

TU=16

6 0

3 years ago

Which pair of fractions is equivalent to this pair?

Andrews [41]

Answer:

the answer would be 10/18 & 3/18

Step-by-step explanation:

6 0

4 years ago

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