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Elena-2011 [213]
2 years ago
5

PLZ HURRY 30 POINTS!!!!!!

Mathematics
1 answer:
VLD [36.1K]2 years ago
8 0

Answer:

has a slope of 1/3 and passes through the point (-3, 1)

You might be interested in
Dmitri wants to cover the top and sides of the box shown with glass tiles that are 3 5 mm square How many tiles does he need 20
Anna35 [415]
Lets split the box in pieces and then add:
top = 20*15 = 300
sidesA = 2*20*9 = 360, is multiplied  by 2 cause there are 2 sides like this
sidesB = 2*9*15 = 270, is multiplied  by 2 cause there are 2 sides like this
so in total we have:
total = 300 + 360 + 270 = 930 cm^2
if we express this quantity in mm^2 we have:
<span>1cm² = 100 mm²</span>total = 930*100 = 93000 mm^2
so if the tiles are 5 mm^2 we need:
total tiles = <span>93000/5 = 18600
we need 18600 tiles of 5 mm^2</span>
8 0
3 years ago
The width of a box in the shape of a rectangular prism is 4 inches more than the height h . The length is the difference of 9 in
Doss [256]

Answer:

(a) V = -H^3+ 5H^2 + 36H

(b) Length = 5in; Width = 9in; Height = 5in or Length = 3in; Width = 10in; Height = 6in

Step-by-step explanation:

Let:

W=Width; L = Length; H = Height

Given

W = 4 + H

L = 9 - H

Solving (a): The polynomial for the volume in terms of height

Volume (V) is calculated using:

V = L * W * H

V = (9 - H) * (4 + H) * H

Expand

V = (9 - H) * (4H + H^2)

Open brackets

V = 36H + 9H^2 - 4H^2 - H^3

V = 36H + 5H^2 - H^3

Rewrite as:

V = -H^3+ 5H^2 + 36H

Solving (b): The dimensions when Volume = 180

Substitute 180 for V in: V = -H^3+ 5H^2 + 36H

180 = -H^3+ 5H^2 + 36H

Rewrite as:

H^3 - 5H^2 - 36H + 180 = 0

Factorize:

H^2(H - 5) - 36(H - 5) = 0

(H^2 - 36)(H - 5) = 0

Express H^2 - 36 as difference of two squares

(H - 6)(H + 6)(H - 5) =0

This gives:

H - 6 =0==> H = 6

H + 6 =0==> H = -6

H - 5 =0==> H = 5

Since the height can not be negative, then H = 5 or H = 6

Recall that:

W = 4 + H

L = 9 - H

When H = 5

W = 4 + 5 = 9

L = 9 - 5 = 4

When H = 6

W = 4 + 6 = 10

L = 9 - 6 = 3

Hence, the dimensions of the box are:

Length = 5in; Width = 9in; Height = 5in

or

Length = 3in; Width = 10in; Height = 6in

3 0
3 years ago
Which of the following represents the graph of f(x) = 3x − 2?
kodGreya [7K]

Answer:

graph of exponential rising up to the right, through the point 0, negative 2

Step-by-step explanation:

I graphed the function on the graph below so you can see that it rises to the right and goes through the point (0,-2).

6 0
3 years ago
Read 2 more answers
Explain how you know that 7/12 is greater than 1/3 but less than 2/3
PtichkaEL [24]
Or this question you should know that:
1/3 = (1*4)/(3*4) = 4/12 
and 
2/3 = (2*4)/(3*4) = 8/12 
so you can see that 7/12 is greater than 4/12 which is 1/3 and less than 8/12 which is 2/3 :))))
i hope this is helpful
have a nice day
7 0
3 years ago
Read 2 more answers
F(x) = 4x^2 + 3x - 11<br> f(-3)
Mnenie [13.5K]
Just plus in x for -3
f(x) = 4(-3)^2 + 3(-3) - 11
f (x) = 4(9) -9 - 11
f(x) = 36 - 20
f(x) = 16
3 0
3 years ago
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