Explain why this scenario is a composition of a function:

Please I Really Need Help.The coordinate plane below represents a city. Points A through F are schools in the city.

almond37 [142]

Answer:

Part A) The system of inequalities is

$x\geq2$ and $y\geq2$

Part B) In the procedure

Part C) The schools that Natalie is allowed to attend are A,B and D

Step-by-step explanation:

Part A: Using the graph above, create a system of inequalities that only contain points C and F in the overlapping shaded regions

we have

Points C(2,2), F(3,4)

The system of inequalities could be

$x\geq2$ -----> inequality A

The solution of the inequality A is the shaded area at the right of the solid line x=2

$y\geq2$ -----> inequality B

The solution of the inequality B is the shaded area above of the solid line y=2

see the attached figure N 1

Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Verify point C

C(2,2)

Inequality A

$x\geq2$ -----> $2\geq2$ ----> is true

Inequality B

$y\geq2$ ------> $2\geq2$ ----> is true

therefore

Point C is a solution of the system of inequalities

Verify point D

F(3,4)

Inequality A

$x\geq2$ -----> $3\geq2$ ----> is true

Inequality B

$y\geq2$ ------> $4\geq2$ ----> is true

therefore

Point D is a solution of the system of inequalities

Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend.

we have

$y < -2x+2$

The solution of the inequality is the shaded area below the dotted line $y=-2x+2$

The y-intercept of the dotted line is the point (0,2)

The x-intercept of the dotted line is the point (1,0)

To graph the inequality, plot the intercepts and shade the area below the dotted line

see the attached figure N 2

therefore

The schools that Natalie is allowed to attend are A,B and D

3 0

2 years ago

A bakery sells 7196 donuts in 2010. The bakery sells 9236 donuts in 2015. Write a linear model that represents the number y of d

-BARSIC- [3]

Answer:

$y=408x+7196$

Step-by-step explanation:

x is number of years after 2010

y is number of donuts

we are given

A bakery sells 7196 donuts in 2010

So, when x=0 , y=7196

Let's assume

$x_1=0,y_1=7196$

The bakery sells 9236 donuts in 2015

$x_2=5,y_1=9236$

now, we can find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

we can plug values

$m=\frac{9236-7196}{5-0}$

$m=408$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y-7196=408(x-0)$

$y=408x+7196$

3 0

3 years ago

What is the power of A if 5a=1/125

a_sh-v [17]

Answer:

5^a= 1/5^3

5^a= 5^-3

a=-3

Step-by-step explanation:

4 0

3 years ago

Can someone please answer this multiple choice questions numbers 2 , 12 and 13 please answer and please please show work

Vinil7 [7]

Answer:

2) D

12) C

13) D

Step-by-step explanation:

2) 4° C at 6:00 PM

A) + 2° - 6° = - 4° 4° - 4° = 0° 0° does not equal 4° A $\neq$ Correct

B) - 5° + 1° = - 4° 4° - 4° = 0° 0° does not equal 4° B $\neq$ Correct

C) + 6° - 4° = + 2° 4° + 2° = 6° 0° does not equal 4° C $\neq$ Correct

D) - 7° + 7° = 0° 4° + 0° = 4° 4° does equal 4° D = Correct

The answer to question #2 is D

12) M = -3

N ----> M = 8.5 units

The only possible options for N are:

-3 + 8.5 = 5.5

-3 - 8.5 = -11.5

-11.5 is not a choice, so the answer to question #12 is C

13) Scale: 1 inch = 70 yards

Abe walks 3.5 inches (on the diagram)

Multiply both sides of the scale by 3.5

3.5 * 1 inch = 70 * 3.5

3.5 inches = 245 yards

Abe walked 245 yards

The answer to question #13 is D

Hope this helps :)

8 0

3 years ago

Sally invests £8600 at a simple interest rate of 6% per year.

AlladinOne [14]

Answer:

a =10148

Step-by-step explanation:

A = P (1 + rt)

a= 8600(1+0.06*3)

a = 10148

5 0

2 years ago