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sesenic [268]
2 years ago
13

Which equation is the inverse of y=x2 + 16?

Mathematics
2 answers:
kari74 [83]2 years ago
6 0

Answer:

y-16=x^2

Step-by-step explanation:

VLD [36.1K]2 years ago
6 0

Answer:

f^{-1}(x)=\pm\sqrt{x-16}

Step-by-step explanation:

The given equation is y=x^2+16

Interchange the positions of x and y

x=y^2+16

Now, solve this equation for y. That would be the inverse of this function.

Subtract 16 to both sides of the equation

x-16=y^2

Take square root both sides

y=\pm\sqrt{x-16}

This is the inverse of the given function.

f^{-1}(x)=\pm\sqrt{x-16}

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Elodia [21]

There is 179 hours left.

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6 0
2 years ago
Joshua is five years older than David. Simon is four years older than Joshua and nine years older than David. Simon’s and David’
Tasya [4]
David's age: x
Joshua: x + 5
Simon: (x+5) + 4 or x + 9

Simon's age + David's age = 15
(x+9) + (x) = 15
2x = 15 - 9
2x/2 = 6/2
x = 3

The ages of the boys:

David: x = 3 years old
Joshua: 3+5 = 8 years old
Simon: 3+9 = 12 years old



Read more on Brainly.ph - https://brainly.ph/question/1602102#readmore
8 0
2 years ago
The director of a marching band asks the band members to line up in rows of four, but one is left over. Then she tries to line t
Hatshy [7]
There are 81 band members.  :-)

4 rows of 20 = 80 ... with one left over   = 80 + 1  (81)
6 rows of 13 = 78 ... with three left over = 78 + 3  (81)
7 rows of 11 = 77 ... with four left over   = 77 + 4  (81)
5 0
2 years ago
Read 2 more answers
circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what
zloy xaker [14]

Answer:

The length of side st is 15.

Step-by-step explanation:

A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.

Then,

     /rn/ = /rp/

    /tm/ = /tn/

   /sm/ = /sp/

But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.

Then,

 /rt/ = /rn/ + /tn/

17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)

⇒ /tn/ = 10

Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)

So that,

 /st/ = /sm/ + /tm/

     = 5 +10

 /st/ = 15

The length of side st is 15.

7 0
2 years ago
Paul owns a gym and needs to replace the carpeting on the floor. The gym's floor plan is shown.
zubka84 [21]

Answer:

<em>24 square yards</em>

Step-by-step explanation:

Find the diagram attached.

The area of the diagram = Area of rectangle + Area of triangle

Area of rectangle = 3 * 4

Area of rectangle = 12 square yards

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 4

Area of triangle = 12 square yards

Area of the diagram = 12 + 12

Area of diagram =  24 square yards

<em>Hence 24 square yards of carpeting is needed</em>

7 0
2 years ago
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