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2 years ago

Write an equation for the graph below in terms of x

Mathematics

1 answer:

monitta2 years ago

6 0

Answer:

x = y/2 - 1/2

Step-by-step explanation:

you can use the slope-intercept form of a line first, then change to terms of 'x'

y = mx + b where 'm' is the slope and 'b' is the y-intercept

if we use two points on the line, such as (-1, -1) (0, 1), we can find the slope

m = 1-(-1) / 0-(-1)

m = 2/1

b = 1

Slope-Intercept form: y = 2x + 1

in terms of 'x':

2x = y - 1

x = y/2 - 1/2

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mina [271]

Answer:

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Step-by-step explanation:

8 0

2 years ago

cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

3 years ago

Anybody can help?????

Vikentia [17]

The formula of an area of a circle:

$A=\pi r^2$

r - a radius

We have r = 14m. Substitute:

$A=\pi\cdot14^2=196\pi\ m^2$

If you want an approximate area, you can accept $\pi\approx3.14$

Then:

$A\approx196\cdot3.14=615.44\ m^2$

7 0

3 years ago

Find the product 3×57

Julli [10]

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