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allochka39001 [22]
3 years ago
8

-4 is less than or equal to 2t + 5 which is less than 11

Mathematics
2 answers:
dlinn [17]3 years ago
7 0
Not sure what you’re trying to find but here’s the simplified version:

-4<=2t+5<11
-9<=2t<6
-9/2<=t<3
xz_007 [3.2K]3 years ago
5 0

Answer:

Step-by-step explanation:

-4≤2t+5<11

subtract 5 from each inequality

-4-5≤2t+5-5<11-5

-9≤2t<6

divide by 2

-9/2≤2t/2<6/2

-4.5≤t<3

or t∈ [-4.5,3)

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Can anyone help me I don’t understand plz
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There we have an information of two functions g(t)\,  and \, h(t)

Using this two functions g(t)\,  and \, h(t), we need to find the composition of functions (h\circ g)(t).

The composition of two functions h and g is the new function , by performing g first and then performing h.

(h\circ g)(t)=h(g(t))

g(t)=3(t+1)

h(t)=2t

Composition of h and g (t) = (h\circ g)(t)

=h(g(t))

First plugin the value of g(t)=3(t+1)

h(g(t))=h(3(t+1))

=h(3t+3)

We know that h(t)=2t, we need to find h(3t+3),

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=2(3t+3)

Now distribute 2 into 3t+3,

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To shop a package, a company charges a one-time fee plus a fee based on the weight of the package. The table below shows the tot
fiasKO [112]

Answer:

C = $5 + $1.5(w)

Step-by-step explanation:

Given the following information :

Total shipping cost :

One time fee + fee based on package weight

Given the table :

Weight in pounds - - - - Total shipping cost($)

___4__________________11

___8__________________17

___12_________________23

___16_________________29

We can deduce from the table

For a package that weighs (w) 4 pounds

Total shipping cost = $11

Let one time fee = f

Fee based on weight = r

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For a package that weighs (w) 8 pounds

Total shipping cost = $17

One time fee = f

Fee based on weight = r

f + 8r = 17 - - - - - (2)

From (1)

f = 11 - 4r - - - (3)

Substitute f = 11 - 4r in (2)

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Put r = 1.5 in (3)

f = 11 - 4(1.5)

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Hence one time fee = $5

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Hence, Total shipping cost 'C' for a package weighing 'w' will be :

C = $5 + $1.5(w)

7 0
3 years ago
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