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3 years ago

Describe the graph of y = |x - 2| + 4

Mathematics

1 answer:

Usimov [2.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

Note that this function resembles the absolute value function y = |x|.

The graph of y = |x| has its vertex at (0, 0) and opens up in a v-shape.

The graph of y = |x - 2| looks the same as that of y = |x|, but the entire graph has been translated 2 units to the right.

The graph of y = |x - 2| + 4 is that of y = |x - 2|, translated 4 units up.

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One bag of apples costs $4. Five bags of apples costs $15. Which has the better unit<br> price?

Ivenika [448]

The first one is $4 per bag, as given

For the he second one, you divide $15 by 4, you got $3,75 per bag

Therefore, the second one has the better unit price

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2 years ago

Read 2 more answers

Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31.

Rashid [163]

Answer:

The present age of Mark is 25 years.

And present age of Lindsay is 20 years.

Step-by-step explanation:

Let us assume:

The present age of Lindsay = l

The present age of Mark = m

⇒ Age of Lindsay seven years ago = (l -7) years

and Age of Mark seven years ago = (m -7) years

According to question:

Lindsay is 5 years younger than Mark ⇒ l = m - 5

Seven years ago, the sum of their ages was 31 ⇒ (l-7) + (m -7) = 31

So, the given set of equation are:

l = m - 5 ......... (1)

(l-7) + (m -7) = 31

⇒ ((m - 5) -7) + (m -7) = 32 (from (1)

or, m -12 + m - 7 = 31

or, 2m = 31 + 19 = 50

⇒ m = 50 / 2 = 25, or m = 25

Hence,the present age of Mark = 25 years

So,the present age of Lindsay = 25 - 5 = 20 years

7 0

3 years ago

A large scale commercial bakery makes cream filling for snack cakes. The bakery puts a new machine into production. The machine

lana [24]

Answer:

The new machine makes 4002.8 pounds of cream filling during the first week of production.

Explanation:

Assuming the rate of cream filling production is 230e^0.23x pounds per day.

8 0

3 years ago

I need help on this for math class dont mind how i answered a

Scrat [10]

Step-by-step explanation:

I think its c cus its more relatable .

7 0

3 years ago

Read 2 more answers

Tina was asked to determine the possible dimensions of a given rectangle whose area is 12a4b3-18a6b3-72a7b3. Tina stated that th

Rufina [12.5K]

Answer:

Tina is correct

Step-by-step explanation:

Given

$Area = 12a^4b^3 - 18a^6b^3 - 72a^7b^3$

Required

State if $3a^4b^3(4-6a^2-24a^3)$ is a possible dimension

To do this, we simply expand $3a^4b^3(4-6a^2-24a^3)$

$3a^4b^3(4-6a^2-24a^3)$

$3a^4b^3 * 4-3a^4b^3 * 6a^2-3a^4b^3 * 24a^3$

$12a^4b^3 - 18a^{4+2}b^3 * -72a^{4+3}b^3$

$12a^4b^3 - 18a^{6}b^3 * -72a^{7}b^3$

By comparison, the result of the expansion

$12a^4b^3 - 18a^{6}b^3 * -72a^{7}b^3$

and the given expression

$Area = 12a^4b^3 - 18a^6b^3 - 72a^7b^3$

are the same.

<em>Hence, Tina is correct</em>

7 0

2 years ago