All categories

2 years ago

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

Mathematics

1 answer:

Usimov [2.4K]2 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.

You might be interested in

A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\tex

denpristay [2]

Answer:

The tanks by volume per fish from least to greatest:

Tank C, Tank A, Tank B

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.

Order the tanks by volume per fish from least to greatest.

Tank A holds 40 L and 5 fish.

= 40L/5 fishes

= 8 volume per fish

Tank B holds 100 L and 12 fish

= 100L/12 fishes

= 8.3333333333 volume per fish

Tank C holds 180 L and 23 fish.

= 180L /23 fish

= 7.8260869565 volume per fish

The tanks by volume per fish from least to greatest

Tank C, Tank A, Tank B

6 0

3 years ago

Margaret is thinking of a number. She says, “My number is odd. It is a factor of 36 and a multiple of 3” There are two possible

Novay_Z [31]

Answer:

3,9

Step-by-step explanation:

Factors of 36 = 1,2,3,4,6,9,12,18,36

Those factors which are odd = 1,3,9

Odd Factors which are multiple of 3 = 3,9

So, these are the two numbers Margret might be thinking of.

4 0

3 years ago

Find the volume of each cylinder. Use 3.14 for pi. Round your answer to the nearest tenth

otez555 [7]

Answer:

V ≈471.24 mm^3

Step-by-step explanation:

The formula for cylinder volume is πr^2 x h, so ((π x 25) x h). That's just 25π x 6. That is about 471.238898, which rounded is almost 471.24. Or, in terms of π, you could leave your answer as 150π mm^3

8 0

3 years ago

If 3x+54+(65 × 32)+ 902- (43/12) =y, then what is y?

IceJOKER [234]

Answer:

We cannot solve without a value for x. The simplified form is $3x+\frac{36,389}{12} =y$

Step-by-step explanation:

If the equation is $3x+54+(65)(32)+902-\frac{43}{12}=y$ then we cannot solve it until we know the value of x. We can simplify it using order of operations such as PEMDAS.

$3x+54+(65)(32)+902-\frac{43}{12}=y \\3x+54+2,080+902-\frac{43}{12}=y \\3x+3,036-\frac{43}{12}=y \\3x+\frac{36,432}{12} -\frac{43}{12} =y\\3x+\frac{36,389}{12} =y$

6 0

2 years ago

Some students were asked what kinds of animals they have at home.

Nataly_w [17]

(a) Animals by popularity; Dogs, Cats, Others, Horses.

(b) If 250 students were interviewed, 20 students have other pets.

(c) No, it was incorrect.

Step-by-step explanation:

Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;

1. Dogs - 67%,

2. Cats - 20%

3. Others - 8%,

4. Horses - 1%.

None is not included in this list.

Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.

8% of 250 = $\frac{8}{100}$ × 250 = 0.08 × 250 = 20.

So 20 students had other pets.

Step 3; 20% of the interviewed students had cats. If 75 students had cats, we need to equate 20% to the 75 and find out how many students were actually interviewed.

20% × x = 75, 0.2 × x = 75,

x = $\frac{75}{0.2}$ = 375.

So if 375 students were interviewed, 75 students would have cats. So the estimate of 250 students being interviewed is incorrect.

8 0

3 years ago