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Studentka2010 [4]
3 years ago
5

Integers <,>,or =between the pair of number |-13| |19| to make a true statement

Mathematics
1 answer:
kvasek [131]3 years ago
3 0
Because the /-13/ should be positive so /-13/>/19/
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Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(
zavuch27 [327]

Given:

The parent absolute function is

f(x)=|x|

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

g(x)=kf(x+a)+b                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

g(x)=3f(x+0)+5

g(x)=3f(x)+5

g(x)=3|x|+5       [\because f(x)=|x|]

Therefore, the correct option is D.

5 0
3 years ago
2818 people ferried to an island. If the ferry took 70 people in one trip, how many trips did the ferry make.
sasho [114]

Answer:

41

Step-by-step explanation:

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5 0
2 years ago
HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE s
Reptile [31]

Answer:

It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)

Step-by-step explanation:

The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle

8 0
3 years ago
Can the mean (average) be greater than the largest number in a data set?
salantis [7]
No it can never be greater than the largest number in the set because an average (or a mean) is the "<span> number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number." c:</span>
3 0
3 years ago
Find the area of the shaded sector.
Vladimir [108]

Given that,

Radius of the circle, r = 8.91 cm

Angle, \theta=81^{\circ}

To find,

The area of minor sector.

Solution,

The formula for the area of minor sector is given by the formula as follows :

A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{81}{360}\times \pi \times (8.91)^2\\\\A=56.11\ \text{cm}^2

So, the area of the shaded sector is 56.11\ \text{cm}^2.

8 0
3 years ago
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