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3 years ago

PLEASE SOLVE I DESPERATELY NEED HELP!!! Solve the system of equations by graphing.

Mathematics

1 answer:

Anon25 [30]3 years ago

4 0

Answer:

The steps will be :

1. Draw both equations into the graph.

2. Look for the coordinates where they intersect(curve and line crosses each other). So the coordinates will be (-2,0) and (3,5).

3. The x-value of the coordinates will the solution to the equations.

4. Therefore, the answer will be -2 and 3.

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The length of a rectangle picture frame is 2 centimeters more than twice it’s width. If the area of the frame is 364 square cent

sergeinik [125]

Answer:

Length:28 cm

Width: 13 cm

Step-by-step explanation:

Let

x ---> the length of a rectangle picture frame

y ---> the width of a rectangle picture frame

we know that

The area of a rectangle picture frame is equal to

$A=xy$

we have

$A=364\ cm^2$

$364=xy$ ----> equation A

The length of a rectangle picture frame is 2 centimeters more than twice it’s width

$x=2y+2$ ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (28,13)

see the attached figure

therefore

Length:28 cm

Width: 13 cm

5 0

3 years ago

MIK

rjkz [21]

Answer:

B; 125

Step-by-step explanation:

45% of 500 is 225. 20% of 500 is 100

225 - 100 = 125

Hope this helps :)

7 0

3 years ago

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What is the following profuct?<br><br> ( sqrt 14 - sqrt 3) ( sqrt 12 + sqrt 7)

GalinKa [24]

Using the distributive law:-

this = sqrt 14 sqrt 12 + sqrt 14 sqrt 7 - sqrt 3 sqrt 12 - sqrt 3 sqrt 7

= sqrt1 68 + sqrt 91 - sqrt 36 - sqrt 21

= sqrt 168 + sqrt 91 - sqrt21 - 6

3 0

4 years ago

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A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350 cubic

const2013 [10]

Answer:

x = r = 3,12 cm

h = 11,45 cm

C(min) = 10,09 $

Step-by-step explanation:

Let x be radius of base and h height of cylinder

Let A₁ be Cylinder area of base + lateral area

A₁ = π*x² + 2*π*x*h Now V = 350 cm³ 350 = π*x²*h

h = 350/ π*x²

Then

A₁ = π*x² + 700/x

A₂ area of the top

A₂ = π*x²

Now we write the expression of cost as fuction of x

C(x) = 0,03 * ( π*x² + 700/x) + 0,08*π*x²

C(x) = 0,03* π*x² + 21/x + 0,08*π*x²

C(x) = 0,11* π*x² + 21/x

Taking derivatives on both sides of the equation

C´(x) = 2*0,11*π*x - 21 / x²

C´(x) = 0 0,22*π*x - 21 / x² = 0

0,22*π*x³ - 21 = 0 0.6908* x³ - 21 = 0

X³ = 21/0,6908 X³ = 30,40

x = 3,12 cm

And

h = 350/π*x² h = 350 / 30,57

h = 11,45 cm

C(min) = 0,11* π*(3,12)² + 21/3,12

C(min) = 3,36 + 6,73

7 0

4 years ago

What is the value of x in this equation?<br> Х/2 - x = x/4 + 6

olga nikolaevna [1]

X=-8

Х/2 - x = x/4 + 6
1/2x - x = 1/4x + 6
-1/2x=1/4x+6
-2x=x+24
-2x-x=24
-3x=24
X=-8

5 0

3 years ago

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