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3 years ago

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:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -3x + 10

y = -2x + 6

Step 2: Solve for x

Substitution

Substitute in y: -3x + 10 = -2x + 6
Add 3x on both sides: 10 = x + 6
Isolate x: 4 = x
Rewrite: x = 4

Step 3: Solve for y

Define equation: y = -2x + 6
Substitute in x: y = -2(4) + 6
Multiply: y = -8 + 6
Add: y = -2

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3 years ago

Read 2 more answers

On a piece of paper, graph f(x)=16x0.5^x. Then determine which answer choice matches the graph you drew.

Reil [10]

9514 1404 393

Answer:

Step-by-step explanation:

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

f(0) = 16·0.5^0 = 16

f(1) = 16·0.5^1 = 8

Only graph A matches these points.

7 0

3 years ago

What is the solution to the system? (___,___)

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:

y=2x+b, now solve for b with either of the points, I'll use: (1,2)

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

7x=14

x=2, and using y=2x we see that:

y=2(2)=4, so the solution occurs at the point:

(2,4)

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>

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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.
Then: $\frac{l}{w}= \frac{1+\sqrt5}{2} \text{ and }lw=104$
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