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3 years ago

(-7, -3) reflected across y-axis (8, 2) reflected across x-axis

1 answer:

8 0

(7,-3) and (8, -2) When flipping over the y-axis, the x changes its symbol. When flipping over the x-axis, you y changes its symbol.

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Help me with this 1,2,3. For each sequence, Determine with whether it appears to be arithmetic If it does find a common differen

pshichka [43]

Problem 1

<h3>Answer: Arithmetic, common difference = -4</h3>

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Explanation:

Pick any term of the sequence, and subtract off the previous term to find that,

term2 - term1 = -12 - (-8) = -12 + 8 = -4
term3 - term2 = -16 - (-12) = -16 + 12 = -4
term4 - term3 = -20 - (-16) = -20 + 16 = -4

Each time we get the same result, so that means we have an arithmetic sequence with common difference -4

This indicates that adding -4 to each term, or subtracting 4 from each term, will generate the next one.

Eg: term2 = term1 - 4 = -8-4 = -12.

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Problem 2

<h3>Answer: Arithmetic, common difference = 5</h3>

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Explanation:

Similar to problem 1, this sequence is also arithmetic because we add on 5 to each term to get the next one

-6+5 = -1
-1+5 = 4
4+5 = 9

Or you could subtract adjacent terms as done in problem 1, to find that the common difference is 5.

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Problem 3

<h3>Answer: Not arithmetic</h3>

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Explanation:

Unlike the previous two problems, this sequence is not arithmetic.

We can see that

term2 - term1 = 12 - 3 = 9
term3 - term2 = 48 - 12 = 36

The gaps of 9 and 36 aren't the same. We need the same common difference between any adjacent terms to have an arithmetic sequence.

This sequence is instead geometric because

term2/term1 = 12/3 = 4
term3/term2 = 48/12 = 4
term4/term3 = 192/48 = 4

Each quotient is 4, showing the common ratio is 4. To find the next term, we multiply the current term by 4. So the next term after 192 would be 4*192 = 768, then 4*768 = 3072 is next, and so on.

3 0

3 years ago

If it takes 1/5 cup of flour to make 1/8 of a cake, how many cups of flour are needed to make a whole cake

Alexeev081 [22]

Answer:

D.) 1 3/5

Step-by-step explanation:

You need 1/5 cups of flour 8 times so you need to multiply 1/5 by 8.

1/5 × 8 = 8/5

Then simplify.

8/5 = 5/5 + 3/5 = 1 3/5

3 0

3 years ago

Read 2 more answers

Solve the equation 5(a – 7) + 11 = 2a – 3(a + 4) for a

Lady bird [3.3K]

The answer is a equals 6.

6 0

3 years ago

Read 2 more answers

The sixth grade class sold sweatshirts with their school logo to raise money for a field trip they bought 220 sweatshirts for $8

IRINA_888 [86]

They made a profit of $1,430. Simple math. Multiply 8*220 to see how much they spent. Then multiply 14.50*220 to see how much they received from all the sweatshirts. Lastly, subtract how much they spend versus how much the made.<span />

7 0

3 years ago

One serving of the food product contains 1g total saturated fat or 5% daily value (DV) for saturated fat. What is the daily valu

Leona [35]

Answer:

The daily value for saturated fat is 20g.

Step-by-step explanation:

Percentage problems can be solved by rule of three

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

A percentage problem is an example where the relationship between the measures is direct.

The problem states that 1g is 5% of the daily value for saturated fat. The daily value(100%) for saturated fat is x, so:

1g - 5%

xg - 100%

5x = 100

$x = \frac{100}{5}$

x = 20g

The daily value for saturated fat is 20g.

6 0

3 years ago