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Anastaziya [24]
3 years ago
7

Y = -3x + 10 Y = -2x + 6 The solution to this system is ( ? , ? )

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

(4, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -3x + 10

y = -2x + 6

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                         -3x + 10 = -2x + 6
  2. Add 3x on both sides:             10 = x + 6
  3. Isolate <em>x</em>:                                   4 = x
  4. Rewrite:                                    x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = -2x + 6
  2. Substitute in <em>x</em>:                       y = -2(4) + 6
  3. Multiply:                                  y = -8 + 6
  4. Add:                                        y = -2
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3 years ago
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On a piece of paper, graph f(x)=16x0.5^x. Then determine which answer choice matches the graph you drew.
Reil [10]

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Answer:

  A

Step-by-step explanation:

You can use x=0 and x=1 to find points that must be on the graph.

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7 0
3 years ago
What is the solution to the system? <br><br> (___,___)
Rina8888 [55]
For the first line we have a slope of (y2-y1)/(x2-x1)

(2--2)/(1--1)=4/2=2 so we have:

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2=2(1)+b

b=0 so the first line is:

y=2x

Now the second line:

(1-10)/(4--2)=-9/6=-3/2 so far then we have:

y=-3x/2+b, using point (4,1) we solve for b...

1=-3(4)/2+b

1=-6+b

b=7 so 

y=-3x/2+7 or more neatly...

y=(-3x+14)/2

...

The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...

2x=(-3x+14)/2

4x=-3x+14

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6 0
3 years ago
She decides to change the length of the top of the top of the trapezoid shaped garden from 32 to 24 ft. Which expression finds t
gulaghasi [49]

Answer:

<h3>The change in the scale factor is \frac{3}{4} ft</h3>

Step-by-step explanation:

Given that Sienna planned a trapezoid-shaped garden.

And She decides to change the length of the top of the trapezoid-shaped garden from 32 ft to 24 ft.

Let Old length of the top be 32 ft

Let New length of the top be 24 ft

Scale factor =\frac{New length}{old length}

Scale factor = \frac{24}{32}

=\frac{3}{4} ft

<h3>∴ the change in the scale factor is \frac{3}{4} ft</h3>
7 0
4 years ago
A manufacturer wishes to make a cereal box in the shape of a golden rectangle, based on the theory that this shape is the most p
soldier1979 [14.2K]
Let w be the width and l the length of the rectangle. 
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Solving the above system we get:
l= \frac{1+\sqrt5}{2}w\\= \frac{1+\sqrt5}{2}\frac{104}{l}
Therefore:
l^2=\frac{1+\sqrt5}{2}104 then l=13,which is the length, 
And then the width w=\frac{104}{13}=8 
3 0
3 years ago
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