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3 years ago

I need help, is this an inverse function and explain if it is or not please and thank you

Mathematics

1 answer:

galben [10]3 years ago

5 0

No. It is not since you didnt put the x and f together for one variable and dividing the 5x+1 by x is not the inverse of dividing x by 5x+1.

Im not sure if this makes sense because im not really good at explaining but the answer is no.

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PLEASE HELP ME!!!!!!

Nata [24]

9514 1404 393

Answer:

vertex: (2, -3.2)

axis of symmetry: x = 2

zeros: x=0, x=4

formula for axis of symmetry:

x = <x-coordinate of vertex>
x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

x = 2

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

x = h . . . . . . equation of axis of symmetry

8 0

2 years ago

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac

Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

$20x+50y\leq 400$

Larry must purchase at least nine items.

$x+y\geq 9$

Check both inequalities of all given ordered pairs.

For (5,6),

$20(5)+50(6)\leq 400\Rightarrow 400\leq 400$

$5+6\geq 9\Rightarrow 16\geq 9$

Point (5,6) satisfy both inequalities.

For (10,4),

$20(10)+50(4)\leq 400\Rightarrow 400\leq 400$

$10+4\geq 9\Rightarrow 14\geq 9$

Point (10,4) satisfy both inequalities.

For (20,0),

$20(20)+50(0)\leq 400\Rightarrow 400\leq 400$

$20+0\geq 9\Rightarrow 20\geq 9$

Point (20,0) satisfy both inequalities.

For (15,2),

$20(15)+50(2)\leq 400\Rightarrow 400\leq 400$

$15+2\geq 9\Rightarrow 17\geq 9$

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0

3 years ago

The body of a person who weighs 50 kilograms contains around 2 × 102 grams of sodium chloride. How much sodium chloride is conta

Zolol [24]

I'm not sure but I.think it's C

4 0

3 years ago

A farmer estimated that there were 25 gallons of water left in a tank. If this is an underestimate by 16%, how much water was ac

djyliett [7]

Answer:

The actual water in the tank is 29.76 gallons.

Step-by-step explanation:

It is given that the farmer estimated amount of water is 25 gallons.

It is also given that he underestimate the water in tank by 16%.

Let the actual water in tank be x.

$(1-\frac{16}{100})x=25$

$(\frac{100-16}{100})x=25$

$84x=25\times 100$

$x=\frac{2500}{84}$

$x=29.7619$

$x\approx 29.76$

Therefore the actual water in the tank is 29.76 gallons.

8 0

3 years ago

60 eggs is $3.88 what is cost per ounce/individual item

Lena [83]

Answer: 6 cents

Step-by-step explanation:

Divide total price by number of units

3.88 divided by 60 is .064 which rounds to .06 or 6 cents

4 0

3 years ago