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suter [353]
3 years ago
5

Which scenario is best represented by a linear function?

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

Answer:

<h3>P=6s</h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • linear function
<h3>tips and formulas:</h3>
  • a linear function is function with two variables one dependent another one is independent
<h3>let's solve:</h3>

since we can see what linear function is

the second condition is the best fit

<h3>The perimeter of a square, P, where the length of each side of the square is B represented by s</h3><h3>(P = 4s)</h3>

therefore

our answer is b

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Solve the system by elimination: <br> -2x + 2y + 3z = 0<br> -2x - y + z = -3 <br> 2x+ 3y + 3z = 5
Greeley [361]
First= -2x+2y+3z=0

= -2x+2y+3z +-2y=0+(-2y)

-2x+3z=-2y

-2x+3z=-2y+-3z

-2x=-2y-3z

Divide both by negative two
-2x/-2=-2y-3z/-2

x=y+3/2z that’s the answer.


Use this to help you with other equations

3 0
3 years ago
A box has the shape of a rectangular prism with height 30 cm. If the height is increased by 0.9 ​cm, by how much does the surfac
crimeas [40]

Answer:

The corresponding increase in surface area of the rectangular prism for an increase of 0.9 cm in height is given by

ΔS = [1.8 (L + B)] cm

where L = length of the rectangular prism

B = Breadth of the rectangular prism

Step-by-step explanation:

A rectangular prism is essentially a cuboid.

The surface area of the cuboid is given as

S = 2[LB + LH + BH]

where

L = length of the rectangular prism

B = Breadth of the rectangular prism

H = Height of the rectangular prism

S = 2LB + 2LH + 2BH

Derivative explains that, for small changes in the two quantities,

(∂S/∂H) = (ΔS/ΔH)

ΔS = ΔH × (∂S/∂H)

S = 2LB + 2LH + 2BH

(∂S/∂H) = 2L + 2B = 2(L + B)

ΔH = 0.9 cm

ΔS = ΔH × (∂S/∂H)

ΔS = 0.9 × 2(L + B) = 1.8 (L + B)

A rectangular prism is essentially a cuboid.

The surface area of the cuboid is given as

S = 2[LB + LH + BH]

where

L = length of the rectangular prism

B = Breadth of the rectangular prism

H = Height of the rectangular prism

S = 2LB + 2LH + 2BH

If the height of the rectangular prism increases by 0.9 cm

S(new) = (2×L×B) + 2L(H + 0.9) + 2B(H + 0.9)

S(new) = 2LB + 2LH + 1.8L + 2BH + 1.8B

S(new) = 2LB + 2LH + 2BH + 1.8L + 1.8B

The old surface area, S = 2LB + 2LH + 2BH

Hence, the change or increase in surface area is S(new) - S

[2LB + 2LH + 2BH + 1.8L + 1.8B] - [2LB + 2LH + 2BH] = 1.8L + 1.8B = 1.8 (L + B)

Still the same increase in surface area as obtained by the first method.

Hope this Helps!!!

4 0
3 years ago
19. If the pg", and "terms of an A.P. are a,b, and c respectively. prove that: p(b-c) + (ca) + rſa-b) = 0 50 Approved by Curricu
professor190 [17]

Answer:

Step-by-step explanation:a = m + (p-1)*d

b = m + (q-1)*d

c = m + (r-1)*d

p(b-c) = p*(q-r)*d

q(c-a) = q*(r-p)*d

r(a-b) = r*(p-q)*d

p(b-c)+q(c-a)+r(a-b)

= p*(q-r)*d + q*(r-p)*d +r*(p-q)*d

= (pq-pr+qr-pq+rp-qr)*d

= 0*d = 0

So i prove p(b-c)+q(c-a)+r(a-b)=0 hope this is helpfull

4 0
3 years ago
Michael has a total of 15 bills that are either $1 bills or $5 bills. If the total amount of money he has is $47, how many $5 bi
HACTEHA [7]
He has 8 five dollar bills and 2 dollar bills.
3 0
3 years ago
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PLS HELP WILL GIVE BRANLIEST In the first event, the eighth graders are running a baton relay race with three other classmates.
never [62]

Answer:

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Average Time in Minutes = 3.89 min / 4 = 0.97 minutes

Average Time in Seconds = 0.97 *60 = 58.38 Seconds

Step-by-step explanation:

6 0
3 years ago
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