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2 years ago

Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.

Mathematics

1 answer:

Tamiku [17]2 years ago

8 0

Answer:

x = 2

Step-by-step explanation:

To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".

f(x) = 2x + 1

g(x) = -x + 7

f(x) = g(x) <----- Given equation

2x + 1 = -x + 7 <----- Insert functions

3x + 1 = 7 <----- Add "x" to both sides

3x = 6 <----- Subtract 1 from both sides

x = 2 <----- Divide both sides by 3

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Devin runs a factory that makes Blu-ray players. Each R80 takes 9 ounces of plastic and 2 ounces of metal. Each G150 requires 3

alexira [117]

9514 1404 393

Answer:

R80: 12

G150: 54

Best Profit: $582

Step-by-step explanation:

Let x and y represent the numbers of R80 and G150 players, respectively. The constraints of the problem are ...

0 ≤ x ≤ 18 . . . . . a maximum of 18 R80 can be built

0 ≤ y . . . . . . . . . only non-negative numbers can be built

9x +3y ≤ 270 . . . . ounces of plastic used cannot exceed 270

2x +6y ≤ 348 . . . . ounces of metal used cannot exceed 348

The objective is to maximize the profit function ...

P(x, y) = 8x +9y

The attached graph shows profit is a maximum of $582 per week when 12 R80 players and 54 G150 players are produced.

_____

Since the maximum profit is at a value of x less than 18, we didn't bother to graph that constraint.

5 0

3 years ago

Graph the system below and write its solution.

Diano4ka-milaya [45]

Answer:

See the graph attached. It has one solution: (6,-4)

Step-by-step explanation:

The slope-intercept form of a line is:

$y=mx+b$

Where m is the slope and b is the intersection of the line with the y-axis.

Given the first equation $y =\frac{-1}{2}x -1$

You can identify that:

b=-1

Substitute y=0 to find the intersection with the x-axis

$0 =\frac{-1}{2}x -1\\1(-2)=x\\x=-2$

This line passes through the points (0,-1) and (-2,0)

Given the second equation:

$-2 + y = -6$

Solve for y:

$y = -6+2\\y=-4$

It passes through the point (0,-4).

Now, you can graph. See the figure attached.

It has one solution,which is the point of intersection of both lines: (6,-4)

5 0

3 years ago

Determine whether each table represents a linear quadratic or exponential function

Kryger [21]

Answer:

Table A: exponencial function

Table B: quadratic function

Table C: linear function

Step-by-step explanation:

Table A:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 18

for x from 3 to 4, Y increased by 54

So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.

Table B:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 10

for x from 3 to 4, Y increased by 14

The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.

Table C:

for x from 3 to 6, Y increased by -2

for x from 6 to 9, Y increased by -2

for x from 9 to 12, Y increased by -2

The increment of Y is constant for the same increment of X, so this is a linear function.

7 0

3 years ago

FREEE VBUCKS!! GANG GANG

Alenkinab [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Can u pls help me with this thanks

aleksandrvk [35]

Hey!!!

<a and <b are complementary angles.

Those angles which are exactly 90 degree are called complementary angles.

hope it helps..

7 0

3 years ago