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Akimi4 [234]
3 years ago
5

Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5

Mathematics
2 answers:
bearhunter [10]3 years ago
6 0
(2,-5) https://www.mathpapa.com/algcalc2/?utm_expid=69051716-16.tNCYGchyRSmAD_peBBMf2Q.1&utm_referrer=https...
Kobotan [32]3 years ago
4 0

Answer:

vertex point is (2,-5)

Step-by-step explanation:

f(x) = 6|x - 2|- 5

The general form of the absolute function is

y=a|x-h|+k

where (h,k) is the vertex

WE compare the general form of the equation with our given equation to find vertex

y=a|x-h|+k

f(x) = 6|x - 2|- 5

h= 2 and k = -5

So vertex point is (2,-5)

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Guys I would really like the help pls
kipiarov [429]

Answer:

#1: 345

#2: 10%

#3: 7.35

#4: 290.50

Step-by-step explanation:

3 0
3 years ago
What is the ratio for the surface areas of the cones shown below, given that
andreyandreev [35.5K]

Answer:

The ratio for the surface areas is equal to 4

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z -----> the scale factor

In this problem

The scale factor is equal to

z=\frac{2}{1} ----> the ratio of its corresponding radii or its corresponding altitudes

step 2

Find the ratio for the surface areas of the cones

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z -----> the scale factor

x ----> the surface area of the larger cone

y ----> the surface area of the smaller cone

z^{2} =\frac{x}{y}

we have

z=\frac{2}{1}

substitute

(\frac{2}{1})^{2}=\frac{x}{y}

4=\frac{x}{y}

The ratio for the surface areas is equal to 4

That means-----> The surface area of the larger cone is 4 times the surface area of the smaller cone

5 0
3 years ago
A triangle has base 7m and area 17.5 m squared what is the height
ikadub [295]
To find the area of a triangle, the formula is 

\frac{1}{2} (b)(h)=A

Since you have the area and the base you can replace the variables and place the numbers into its place.

17.5 = \frac{1}{2} (7)(h)

From here you need to solve for h by first multiplying the (1/2) and 7 which would equal 7/2 or 3.5

Then you would have

17.5 = 3.5(h)

Now you divide both sides by 3.5 which would make h equal to 

h=5

Double check and do 
\frac{1}{2} (7)(5)

which would equal to 

\frac{1}{2} (35)

All of that equals to 17.5, which is the correct answer so the height is 5m.

4 0
3 years ago
Which is an x-intercept of the continuous function in the table?
Ad libitum [116K]

Answer:

B. (3, 0)

Step-by-step explanation:

The x-intercept is the point where the graph of the function meets the x-axis.

At x-intercept, y=0 or f(x)=0

So look through the table and find where f(x)=0.

From the table, f(x)=0 at x=3.

We write this as an ordered pair.

Therefore the x-intercept is (3,0)

The correct choice is B.

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