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Elis [28]
3 years ago
6

3(5-x)<5x-17x>-4x<-4x<4x>4​

Mathematics
2 answers:
Ulleksa [173]3 years ago
8 0

Answer:

X< -4

Step-by-step explanation:

15 - 3x < 5x -17

15 - 17 < - 3x - 5x

-2 < 8x

X= - 4

solmaris [256]3 years ago
7 0

Answer: x > 4

.........................

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Step-by-step explanation:

This is an exponential function. These types of functions have asymtotes. Asymtotes are when x or y is approaching a specific value, but it's not touching it. If you put your function in a graphing calculator, you will find that the y is approaching 0, but it's not quite touching it. What we're looking for, however is domain (x), and there are no asymtotes for x because as you can see, every value on the x axis has a y point. Therefore the domain is all real numbers.

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8 0
2 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)).<br><br> y = 4/x^2+9
dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is f(x) = \frac{4}{x},  \ \ g(x) = x^2+9

Another possible answer is f(x) = \frac{4}{x+9}, \ \ g(x) = x^2

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

4 0
3 years ago
5 Michiko has a metal container in the shape of a cuboid. The container is 2.4 m long, 1.2 m wide and 0.6 m high. Michiko plans
konstantin123 [22]

Answer:

a) Michiko needs to buy 18 tins of paint.

b) cost of paint would be $152.82

Step-by-step explanation:

Surface area of cuboid = 2lw + 2lh + 2hw

Length (l) = 2.4 m

Width (w) = 1.2 m

Height (h) = 0.6 m

SF = 2(2.4 × 1.2) + 2(2.4 × 0.6) + 2(0.6 × 1.2)

   = 5.76 + 2.88 + 1.44

   = 10.08 meter²

Paint coverage is 4.5 meter² per liter.

Total paint used in one coat =

                                              = 2.24 liters

Paint used in double coats = 2.24 × 2 = 4.48 liters

a) Size of one tin paint = 250 ml

1 liters = 1000 ml

4.48 liters = 4.48 × 1000 = 4480 ml

Number of tins needed by Michiko =

                                                          = 17.92 ≈ 18 tins

b) Cost of one tin of metal paint = $8.49

∴ cost of 18 tins of paint = $152.82

a) Michiko needs to buy 18 tins of paint.

b) cost of paint would be $152.82

3 0
2 years ago
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