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STALIN [3.7K]
2 years ago
15

Find the constant rate of change for each linear function and interpret its meaning

Mathematics
1 answer:
Marina CMI [18]2 years ago
3 0

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}

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What kind of transformation converts the graph of f(x) = 10x + 71 - 2 into the graph of
Over [174]

Answer:

A transition down six units

Step-by-step explanation:

-2-6=-8

8 0
3 years ago
Please help me with acellus
Bezzdna [24]

Answer:

66

Step-by-step explanation:

angle 1 and 4 are supplementary so the 2 added together equal 180. 180-124=56.

The sum of the triangles angles equal 180

180-56-58=66 which is the value of angle 2

5 0
3 years ago
Read 2 more answers
Ask Your Teacher The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials t
SCORPION-xisa [38]

Answer:  

a)  28,662 cm²  max error

    0,0111     relative error

b) 102,692 cm³  max error

   0,004     relative error

   

Step-by-step explanation:

Length of cicumference is: 90 cm

L = 2*π*r

Applying differentiation on both sides f the equation

dL  =  2*π* dr    ⇒  dr = 0,5 / 2*π

dr =  1/4π

The equation for the volume of the sphere is  

V(s) =  4/3*π*r³     and for the surface area is

S(s) = 4*π*r²

Differentiating

a) dS(s)  =  4*2*π*r* dr    ⇒  where  2*π*r = L = 90

Then    

dS(s)  =  4*90 (1/4*π)

dS(s) = 28.662 cm²   ( Maximum error since dr = (1/4π) is maximum error

For relative error

DS´(s)  =  (90/π) / 4*π*r²

DS´(s)  = 90 / 4*π*(L/2*π)²      ⇒   DS(s)  = 2 /180

DS´(s) = 0,0111 cm²

b) V(s) = 4/3*π*r³

Differentiating we get:

DV(s) =  4*π*r² dr

Maximum error

DV(s) =  4*π*r² ( 1/  4*π*)   ⇒  DV(s) = (90)² / 8*π²

DV(s)  =  102,692 cm³   max error

Relative error

DV´(v) =  (90)² / 8*π²/ 4/3*π*r³

DV´(v) = 1/240

DV´(v) =  0,004

3 0
3 years ago
Read 2 more answers
A blouse that regularly sells for $28.50 is on sale for one-third off. what is the sale price of the dress?
egoroff_w [7]
You have to multiply the original price by 1/3 and then multiplying it by 2:
y=1/3x(2)
y=1/3(28.5)(2)
y=9.50(2)
y=19
$19.5
This is 2/3 of the original price (1/3 off).
Hope I helped...


7 0
3 years ago
Hey! i just need you to tell me how you got your answer! thank you!
Yakvenalex [24]

5 + 27 ÷ 3 / 6 + 1 - Remember PEMDAS, so start by dividing 27 by 3.

5 + 9 / 6 + 1 - Next, add

14 / 7 Lastly, Divide.

2

5 0
4 years ago
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