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2 years ago

Which is the graph of y = 2(x - 3)^2+2

Mathematics

1 answer:

makvit [3.9K]2 years ago

5 0

go to demos. com press graphing calculator then type it in

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What is the inverse of the function f(x) = x – 12?

maxonik [38]

Answer:

f(x)^-1=x+12

Step-by-step explanation:

f(x)=x-12

y=x-12

x=y-12

y=x+12

f(x)^-1=x+12

Hope it helps.

6 0

3 years ago

Read 2 more answers

Five widgets and three gadgets cost $109. 90.

erma4kov [3.2K]

Answer:

one gadget costs $15.80

Step-by-step explanation:

Let w = cost of one widget

Let g = cost of one gadget

Given:

Five widgets and three gadgets cost $109. 90

⇒ 5w + 3g = 109.9

Given:

One widget and four gadgets cost $75. 70

⇒ w + 4g = 75.7

Rewrite w + 4g = 75.7 to make w the subject:

⇒ w = 75.7 - 4g

Substitute into 5w + 3g = 109.9 and solve for g:

⇒ 5(75.7 - 4g) + 3g = 109.9

⇒ 378.5 - 20g + 3g = 109.9

⇒ 378.5 - 109.9 = 20g - 3g

⇒ 268.6 = 17g

⇒ g = 15.8

Therefore, one gadget costs $15.80

To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:

⇒ w = 75.7 - 4(15.8)

⇒ w = 75.7 - 63.2

⇒ w = 12.5

Therefore, one widget costs $12.50

5 0

2 years ago

The area of the rectangle as a single expression

Ne4ueva [31]

Answer: $A=15x^2+6x-48$

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

$A=l*w$

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

$length=3(x+2)\\width=5x-8$

Then, you need to substitute this lenght and this width into $A=l*w$ :

$A=3(x+2)(5x-8)$

Now, apply Distributive property:

$A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48$

Finally, you need to add the like terms. Then, you get:

$A=15x^2+6x-48$

5 0

3 years ago

How to factor this expression <br><br>x^3 - 4x^2 + 4x - 16

Natalija [7]

X²(x - 4) +4 (x - 4)

(x² + 4) (x - 4)

First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)

Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)

8 0

2 years ago

The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level

aleksandrvk [35]

Answer:

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.* (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level x