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maw [93]
3 years ago
9

Which equation is the inverse of y = x2 + 16? 0 y=x²-16 y=i -16 y=+-16 y = x2 - 4

Mathematics
1 answer:
denpristay [2]3 years ago
8 0

Answer:

y = ±√(x-16)

Step-by-step explanation:

To find the inverse of an equation, swap the x- and y-variables:

y = x² + 16

x = y² + 16

Then, solve for the y-variable:

x = y² + 16

y² = x - 16

y = ±√(x-16)

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Four points are placed on a circle. How many segments will it take to connect each point to every other point?
alexandr1967 [171]

Answer:

6 segments are required to connect each point to every other point.

Step-by-step explanation:

If four points are placed on a circle.Then as we know the segment is a line that join two points.

Now as we are given four points on the circle.

  • so we will firstly start with the first point; the first point requires 3 segments to connect to the remaining three points.
  • Next second point will just require 2 segments to connect to the two points as it is already connected to the first point.
  • similarly third point requires just one segment to connect to the last point as it is already connected to first and second point as done above.
  • and hence by the above three steps the fourth point is connected to all the points.

Hence, 6 segments are required to connect each point to every other point.

3 0
3 years ago
Read 2 more answers
Choose the graph of the function <br><br>g(x) = 2 x 4^x
dexar [7]

Answer:

its B

Step-by-step explanation:

hope it helped you

8 0
3 years ago
WILL MAKE BRAINLIEST !!!!! The equation y = 35.25x + 40 gives the labor cost y of repairing a car if takes x hours to repair the
seraphim [82]
Y = $35.25(6) + 40

y = $211.5 + $40= $251.50

the answer is a
5 0
3 years ago
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
Do problem 6 show work i will give brainliest if ur correct.
aliina [53]

Step-by-step explanation:

they forget the last step which is to take the square root of the sum

7) a = 4

b = 17

a² + b² = c²

4²+ 17² = c²

16 + 289 = c²

305 = c²

√305 = c

17.464249196572980 = C

7 0
3 years ago
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