MATHEMATICS HIGH SCHOOL

Which sequences are arithmetic? Select three options.–8.6, –5.0, –1.4, 2.2, 5.8, …
2, –2.2, 2.42, –2.662, 2.9282, …
5, 1, –3, –7, –11, …
–3, 3, 9, 15, 21, …
–6.2, –3.1, –1.55, –0.775, –0.3875, …

Answers

Answer 1

Answer:

From the given options

options I, III and IV are Arithmetic sequences.

Given :

we are given with sequences. we need to check which one is arithmetic sequence.

A sequence is arithmetic when the consecutive terms have common difference.

Lets check one by one

$-8.6, -5.0, -1.4, 2.2, 5.8,......\n-5-(-8.6)=3.6\n-1.4-(-5)=3.6\n2.2+1.4=3.6\n$

Its arithmetic because common difference is same 3.6

2, –2.2, 2.42, –2.662, 2.9282, …

-2.2-2=-4.2

2.42+2.2=6.62

Its not arithmetic

5, 1, –3, –7, –11, …

1-5=-4

-3-1=-4

-7+3=-4

-11+7=-3

Common difference is -4. So it Arithmetic

–3, 3, 9, 15, 21, …

3+3=6

9-3=6

15-9=6

Its Arithmetic

–6.2, –3.1, –1.55, –0.775, –0.3875, …

-3.1+6.2=3.1

-1.55+3.1=1.55

Its not Arithmetic

So, options I, III and IV are Arithmetic sequences.

Learn more : brainly.com/question/12870930

Answer 2

Answer:

Answer:

it should be 2nd option, 3rd, and 5th.

Step-by-step explanation:

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Graph the set of points. Which model is most appropriate for the set? ( -1, 20), (0, 10), (1, 5), (2, 2.5) A. quadratic B. linear C. quadratic D. exponential

Given: 5 > x + 7. Choose the solution set.

{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}

Answers

$5\ \textgreater \ x+7$

Switch sides:

$x+7\ \textless \ 5$

Subtract 7 from both sides :

$x+7-7\ \textless \ 5-7$

$x\ \textless \ -2$

Answer B

{x | x R, x < -2}

hope this helps!

If a=3 and b=5, what is the value of 3a + b to the power of 2?

Answers

3a+b²=3(3)+5²=34

therefore 34 is the answer

$3a+b^2=3\cdot3+5^2=9+25=34$

2. How many solutions does this system have? 2x + y = 3, 6x = 9 – 3yA) 1
B) None
C) Infinite
D) 2

Answers

Answer:

The system of equation has infinite solution.

C is correct.

Step-by-step explanation:

We are given system of equation

2x + y = 3

6x = 9 – 3y

First we re-write the second equation in standard form

So, we add 3y both sides

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

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

Multiply equation 1 by 3

3(2x)+3y = 3(3)

6x+3y=9

Subtract new equation from 2nd equation

6x-6x + 3y-3y = 9-9

0=0

LHS=RHS

This is true statement. If statement is true then infinite number of many solution.

Hence, The system of equation has infinite solution.

2x + y = 3
6x = 9 - 3y
↓
2x + y = 3
6x + 3y = 9

3(2x + y = 3)
3(2x) + 3(y) = 3(3)
6x + 3y = 9

There is an infinite number of solutions in the system (the answer is C).

Show your work !

Thanks

Answers

For 1st.
you can solve it by general law or ,
since the coefficient of r^2 = 1
so u should think of 2 number which if u multiple them gives you 27 and sum of them is 12 and those numbers are 9 , 3
so the answer (x+9)*(x+3)
2nd problem :
g^2 - 9 = (g-3)*(g+3)
3rd problem:
2p^3 + 6p^2 + 3p +9
1st divide it into two parts
(2p^3 +6p^2)+ (3p+9)
from the 1st part
take 2p^2 as a common factor and from part 2 take 3 as a common factor and the equation be like
2p^2(p+3) + 3(p+3)
then take (p+3) as a common factor
so (p+3)* ( 2p^2 +3 )

1: (r+3)(r+9). 2: (g+3)(g-2). 3: (2p^2+3)(p+3). FOIL multiply the first, inside, outside, and last terms. add the inside and outside terms together. :)

What is the area of the kitchen floor in this floor plan?a) 24 square meters

b) 28 square meters

c) 35 square meters

d) 42 square meters

Answers

We know that the Area of a Rectangle is:

A = L × W

From the Floor Plan, we know that the Width of the kitchen is 5m. We also know that the Length is 7m.

Now input what we know into our equation:

A = L × W
A = 7m × 5m
A = $35 m^(2)$

Hope this helps!

Answer:

Option C

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Step-by-step explanation:

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