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sashaice [31]
4 years ago
9

If g(x)=f(x+k), what is the value of k?

Mathematics
2 answers:
lianna [129]4 years ago
6 0
G(x) is f(x) shifted left by (4 -(-2)) = 6 units.

The value of k is 6.
Andre45 [30]4 years ago
4 0

Answer:

k= 6

Step-by-step explanation:

From the graph of f(x) , the vertex is at (4,1)

In the graph of g(x), the vertex is at (-2,1)

From the vertex point (4,1) the graph of g(x) is shifted 6 units to the left to reach the point (-2,1)

x is 4,  

g(x)= f(x+k)

g(-2) = f(4+k)

4-(-2)= 6

So k= 6

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The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags
Romashka-Z-Leto [24]

Answer:

17.5 Ounces

Step-by-step explanation:

14/100=.14                 .14x25=3.5              14+3.5=17.5

4 0
3 years ago
Which expression is equivalent to sqrt128x^5y^6/2x^7y^5 ? Assume x 0 and y > 0.
kolbaska11 [484]

<u>Answer:</u>

\frac{8\sqrt{y} }{x}

<u>Step-by-step explanation:</u>

We are given the following expression and we are to simplify it:

\sqrt {\frac {128x^5y^6} {2x^7y^5} }

To make it easier to solve, we can also write this expression as:

\sqrt {\frac{128}{2} * \frac {x^5} {x^7} * \frac {y^6} {y^5}}

Now we will cancel out the like terms to get:

\sqrt {64*\frac{1} {x^2}*y }

Taking the square root of the terms to get:

8*\frac {1}{x} .\sqrt{y}

\frac{8\sqrt{y} }{x}

4 0
3 years ago
Read 2 more answers
Which of the following expressions is equivalent to xy^3?<br> (options in the pic)
Alex

Answer:

A

Step-by-step explanation:

{xy}^{3}

means that xy is being multiplied with itself thrice.

Hence,

xy \times xy \times xy

5 0
3 years ago
Help pleaseeeeeeeeee​
Viktor [21]

Answer: Area of Δ DUO = 12.0 square units.

Step-by-step explanation:

From the diagram, Δ DPA is a right angled triangle and right angled at P.

Therefore ∠D will be

Tan ∅° = PA/DP ie, opposite side all over the adjacent.

            = 4.5/3.75

Tan∅°   = 1.2

to calculate ∅°, we know find the inverse of Tan 1.2

∅ = Tan^-1 1 .2 from your log tables or calculator

         ∅° = 50.20°.

               = 50°

Since line DR is ⊥ to line OP

∠ADR = 90° - 50°

            = 40°.

From the diagram,

     ∠ADR = ∠UDR = 40°

Therefore,

    ∠ODU = 180 - ( 40 + 40 + 90 )  { Angle on a straight line }

                 = 180 - 170

                 = 10°

From Δ UDM , line MU is he height of the required Δ DUO whose area is to be determined.

Now find the height MU

            Tan10.0° = MU/10, where MU is the opposite side and 10.0 is the adjacent from the diagram given.

             MU = Tan10.0 x 10.0

                    =  0.1763 x 10.0

                    =  1.763

Therefore to calculate the area of Δ DUO

                    =   1/2 x base x height

                    = 1/2 x line OD x line MU

                    = 1/2 x 14.0 x 1.763

                    = 7 x 1.763

                    = 12.341

                    = 12.0 square units.

         

           =  

                   

6 0
3 years ago
Bob can type 2 letters in 4 hours while bill can do it in six. How many hours will it take them, working together, to type six l
Mnenie [13.5K]

Answer:

7hr 12 min

Step-by-step explanation:

Given that

Bob  can type 2 letters in 4 hours

while on the other hand bill can do it in six hours

We need to find out the no of hours in which they type 6 hours

So,

Bob's rate is

= 2 ÷ 4

= 1 ÷ 2 letter per hour

And,  

Bill's rate is

= 2 ÷ 6

= 1 ÷ 3 letter per hour

Now

Together rate is

= 1 ÷ 2 + 1 ÷ 3 = 5 ÷ 6 letter per hour

We know that

rate × hours = production

Let us assume the hours be x

So,  

(5 ÷ 6)x = 6

x = (6 ÷ 5) × 6

x = 36 ÷ 5

= 7 1 ÷ 5

= 7hr 12 min

8 0
3 years ago
Read 2 more answers
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