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2 years ago

I need to solve these systems using substitution.

Mathematics

1 answer:

Georgia [21]2 years ago

8 0

y is some number and it is equal to -4x+2

y being that same number is also equal to x-3

therefore, we can equate -4x+2 and x-3 to get x-3 = -4x+2

This is the same as starting with y = -4x+2 and replacing the y with x-3

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Let's solve for x

x-3 = -4x+2

x-3+4x = -4x+2+4x .... add 4x to both sides

5x-3 = 2

5x-3+3 = 2+3 .... add 3 to both sides

5x = 5

5x/5 = 5/5 .... divide both sides by 5

x = 1

With this x value, you can now find the y value. Pick any equation that has x and y in it. If we picked the first equation, then

y = -4x+2

y = -4*1+2 ... plug in x = 1

y = -4+2

y = -2

Or we can pick the second equation

y = x-3

y = 1-3 .... plug in x = 1

y = -2

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<h3>The solution to the system is (x,y) = (1, -2)</h3>

Graphing the two lines will have them intersect at this location.

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What’s the code?<br> I’m really confused on “high lighted numbers”

ELEN [110]

Answer:

Meter

Step-by-step explanation:

Take the letters of the words with a blue-ish, thicker line and unscramble them. It becomes meter.

7 0

2 years ago

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia

Alla [95]

Answer:

$0.2122\text{ ft per min}$

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ $r=\frac{3h}{2}$ feet,

∵ Volume of a cone,

$V=\frac{1}{3}\pi R^2 H$

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

$V=\frac{1}{3}\pi r^2 h$

$=\frac{1}{3}\pi (\frac{3h}{2})^2 h$

$=\frac{3}{4}\pi h^3$

Differentiating with respect to t ( time )

$\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}$

We have,

$\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}$

$6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}$

$6=9\pi \frac{dh}{dt}$

$\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}$

4 0

2 years ago

PLS HELP NEED THIS ASAP

lisabon 2012 [21]

Step-by-step explanation:

The equations that could be used to determine the number of chicken wings and sliders in the combination meal is:

75w + 250s = 800

w = 2s

Where:

w = chicken wings

s = sliders

The two equations derived from the question are known as simultaneous equations. Both equations have to be solved together in order to determine the number of wings and sliders.

The total calories of wings = number of wings x calories of each wing

75 x w = 75w

The total calories of sliders = number of sliders x calories of each sliders

250 x s = 250s

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1 year ago

What times what equals 4

ElenaW [278]

A number times 1 always equals itself, so: 4×1 = 4, OR 2×2 = 4

3 0

2 years ago

Read 2 more answers

Parallel to y=2x+1<br> Goes through (5,4)

Ket [755]

      y = mx + b
      y = 2x + 1
y - y₁ = m(x - x₁)
y - 4 = 2(x - 5)
y - 4 = 2(x) - 2(5)
y - 4 = 2x - 10
+ 4     + 4
   y = 2x - 6

6 0

2 years ago