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2 years ago

The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is

1 answer:

5 0

$a_3=21;\ a_8=56\\\\a_8-a_3=5d\\\\5d=56-21\\5d=35\ \ \ |divide\ both\ sides\ by\ 5\\d=7\\\\a_1=a_3-2d\\\\a_1=21-2\cdot7\\a_1=21-14\\a_1=7\\\\Answer:\boxed{a_1=7}$

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What is the reflection image of P (0, 0) after two reflections, first across x = −3 and then across y = −3? (−6, −6) (−6, −3) (−

Nadya [2.5K]

Answer:

(-3,-3)

Step-by-step explanation:

If we reflect P (0,0) across x=-3 and then across y=-3, then the new point of P would be (0-3,0-3)=(-3,-3)

4 0

3 years ago

Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2

ololo11 [35]

<h3> $6w^2 +8w +4$ is the simplified expression</h3>

<em><u>Solution:</u></em>

Given that,

We have to simplify

$w^2 + 7w^2 + 8w -5+9-2w^2$

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

$w^2 + 7w^2 + 8w -5+9-2w^2$

Group the like terms

$w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4$

Thus the given expression is simplified

4 0

2 years ago

Question #8 help me plz

valina [46]

Answer:

UH HOLD ON RIGHT QUICK CAN YOU TELL ME THE QUESTION

Step-by-step explanation:

4 0

2 years ago

Which steps transform the graph of

vitfil [10]

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of $y = x ^ 2$ into $y = -2(x - 2) ^ 2 + 2$ the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let $y = f (x-2)$ then $y =(x-2) ^ 2$ Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do $y = -f(x)$ Then $f (x) = -(x-2) ^ 2$

3) Stretch according to factor 2.

For this we do $y = 2f(x)$

Then we have $f(x) = -2 (x-2) ^ 2$

4) Move up the graph in two units:

We do $y = f(x) +2$

Then $y = -2(x-2) ^ 2 +2.$

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

4 0

2 years ago

In hours Mariah can rake 3 backyards. how much of a backyard can she rake in 1hour?

Leviafan [203]

Answer: 3 or the whole backyard

Step-by-step explanation: In a hour she can rack 3 backyard. The question asked that how much of a backyard can she rake in 1 hour. She can rake the whole backyard in a hour.

7 0

2 years ago