5. Is the sequence arithmetic? If so, identify the common difference. 14, 21, 42, 77, ...

yes; 7
yes; –7
yes; 14
no
6. What is the 12th term of the sequence 10, 6, 2, …?
–16
–24
–34
–38
7. Find the missing term of the arithmetic sequence 22, ___ , 34, ...
46
16
28
40

Answers

Answer 1

Answer: 5.
aritmetic is same increase per term
14 to 21 is 7
21 to 42 is 21
7≠21
no

6.
decreases by 4 each time
an=a1+d(n-1)
an=10-4(n-1)
n=12 for 12th term
a12=10-4(12-1)
a12=10-4(11)
a12=10-44
a12=-34

it is -34

7.
missing term is y
22+n=y
y+n=34
22+n+n=34
22+2n=34
minus 22 from both sides
2n=12
divide both sides by 2
n=6
22+n=y
22+6=y
28=y

28 is answer

5. no
6. -34
7. 28

Answer 2

Answer:

Answer:

5. The correct option is 4. No, the given sequence is not arithmetic.

6.The option 3 is correct and the 12th term of the sequence is -34.

7. The option 3 is correct and the missing term of the arithmetic sequence is 28.

Step-by-step explanation:

The given sequence is

$14,21,42,77$

$d_1=a_2-a_1=21-14=7$

$d_2=a_3-a_2=42-21=21$

Since $d_1\neq d_2$ , therefore it is not an arithmetic sequence. Option 4 is correct.

The given sequence is

$10,6,2,...$

First term is 10 and common difference is -4.

The formula for nth term is

$a_n=a+(n-1)d$

$a_(12)=10+({12}-1)(-4)=10-44=-34$

Therefore option 3 is correct and the 12th term of the sequence is -34.

The given sequence is

22, ___ , 34, ...

In an arithmetic sequence

$2b=a+c$

$2b=22+34$

$2b=56$

$b=28$

Therefore option 3 is correct and the missing term of the arithmetic sequence is 28.

Answer

g(x) = (x + 5^)2

Explanation

Remember that:

- The translation $f(x+b)$ shifts the function $b$ units to the left

- The translation $f(x-b)$ shifts the function $b$ units to the right

We can infer from our vertices, that the vertex of g(x) is the vertex of f(x) shifted 2 units to the right. Since $f(x-b)$ shifts the function $b$ units to the right, we just need to subtract 2 units from f(x) = (x + 7)^2 to find g(x):

$g(x)=(x+7-2)^2$

$g(x)=(x+5)^2$

Answer:

The answer is B.

Step-by-step explanation:

I took the test

Which function has the same why intercept as the graph below

Answers

you mean 'y' intercept not 'why' intercept
y intercet means where the line crosses or intersepts the y axis

that also is when x=0
bsically, y intercept point is (0,yintercept)
in this graph , the y intercept is 3 units below the 0 so y intercept is -3 at point (0,-3)
y=mx+b
b=y intercept
we want to find an equation that is
y=mx-3
convert them into that

(1) y=(12-6x)/4
y=-3/2x+3
nope

(2)
27+3y=6x
subtract 27
3y=6x-27
divide 3
y=2x-9
nope

(3)
6y+x=18
subtract x
6y=-2x+18
'divide 6
y=-1/3x+3
nope

(4)
y+3=6x
subtract 3
y=6x-3
correct

answer is number 4

A cab charges $1.45 for the flat fee and $0.55 for each mile. Write and solve an inequality to determine how many miles Ariel can travel if she has $35 to spend. $1.45 + $0.55x ≥ $35; x ≥ 61 miles $1.45 + $0.55x ≤ $35; x ≤ 61 miles $0.55 + $1.45x ≥ $35; x ≥ 23 miles $0.55 + $1.45x ≤ $35; x ≤ 23 miles

Answers

Answer:

Step-by-step explanation:

To answer this question you first need to know what the inequality symbols mean!

≤ Less than or equal to

≥ Greater than or equal to

So if Ariel has $35 this mean the following:

$1.45 is the flat fee or y-intercept

$0.55 is the slope

This mean the following:

$1.45 + $ 0.55x ≤ $35

$0.55x ≤ $33.55

x≤61

What is the answer to : 20 / 2(5+5)

Answers

Answer:

100

Explanation:

Before we begin, you should remember the order of operations from left to right:

1- Parentheses

2- Exponential

3- Division/multiplication

4- Addition/subtraction

Now , the given is:

$(20)/(2) * (5+5)$

We will start by resolving the brackets:

5+5 = 10

Therefore, the expression now is:

$(20)/(2) * 10$

Note that multiplication/division both have the same rank in the order of operations. This would mean that we will go from left to right and resolve whichever of them comes first.

In our expression, we can see that division comes first. So, we will start by division:

$(20)/(2) = 10$

The expression now became:

10 * 10

We will finally do the multiplication:

This would give us the final answer 100.

Combining all the above steps:

$(20)/(2) * (5+5) = (20)/(2) * 10 = 10 * 10 = 100$

Hope this helps :)

100

Further explanation

In the 1500s special rules of order of operations were issued. This sequence of work states which process takes precedence as the priority before other operations.

Operation priorities are as follows.

Parentheses (simplify in it)
Exponent
Multiplication or Division (from left to right)
Addition or Subtraction (from left to right)

Let's implement the rule.

$\boxed{ \ 20/2(5 + 5) \ } \rightarrow \boxed{ \ 20 / 2 (5 + 5) = \ ? \ }$

Inside the brackets, do the addition.

$\boxed{ \ 20 / 2 (10) = \ ? \ }$

Let us apply rule number 3 from the priority operation above. Operate on the left to right. We have to divide 20 by 2.

$\boxed{ \ 10(10) = \ ? \ }$

The continuous operation ends with multiplication.

$\boxed{ \ 10 * 10 = 100 \ }$

Thus, the answer is

$\boxed{ \ 20/2(5 + 5) \ } \rightarrow \boxed{\boxed{ \ 20 / 2 (5 + 5) = 100 \ }}$

Notes:

What if we don't follow the priority of the operation?

Look carefully at the following discussion.

At this crucial point:

$\boxed{ \ 20 / 2 (10) = \ ? \ }$

We decide to multiply 2 by 10, even though there are no parentheses from them, only parentheses for 10.

$\boxed{ \ 20 / 2 * 10 = \ ? \ }$

$\boxed{ \ 20 / 20 = 1 \ }$

Hence, $\boxed{ \ 20 / 2 (5 + 5) = 1 \ }$

That's what happens if we don't follow operating priorities.

Unless the problem like this:

$\boxed{ \ 20 / (2 (5 + 5)) = 1 \ }$

$\boxed{ \ 20 / (2 * 10) = 1 \ }$

$\boxed{ \ 20 / 20 = 1 \ }$

Thus, the difference must be considered. Consequently, obey the priority of the operation and look at the problem in detail.

Learn more

The simplified form of 5(14 - 2)^2÷2 brainly.com/question/1602237
2/7m-1/7=3/14 solve step by step brainly.com/question/4853649
Add and simplify 9/16 + 1/2 brainly.com/question/894273

Keywords: 20/2(5+5), 100, the order of operation, operation priorities are as follows, parentheses, brackets, simplify, exponent, multiplication, division, from left to right, add, subtract, obey the priority

How do I solve this?

Answers

Answer:

Step-by-step explanation:

2•3=6 +2=8 8 squared is 8•8 which is 64. This problem is quite simple.

Answer:

X=3

Step-by-step explanation:

Step 1: Find the square root of 64

since there is an exponent of 2 around your paranthesis, you must get rid of that first, by finding the square root of the first part of the equation and 64. then you will have (2x+2)=8

Step 2: Subtract 2

next subtract 2 from both sides of the equation, and you will have 2x=6

Step 3: divide by 2

lastly, divide each side by 2. you will get x=3

5. What is the value of tan 45°?
A. √2/2
B. √3/2
C. 1
D. √3

Answers

If we use the unit circle:
sin 45° = √2/2
cos 45° = √2 / 2
tan x = sin x/ cos x
tan 45° = sin 45°/ cos 45° = √2 / 2 : √2 / 2 = 1
Answer: the value of tan 45° is C ) 1

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