Consider the piecewise-defined function given by the graph. What are these values?

f(–3) =

f(–1) =

f(3) =

x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Learn more on equation here: https://brainly.com/question/2972832

#SPJ2

Answer:

Step-by-step explanation:

The angles of a triangle add up to 180°.

∠4 = 180°-35°-90° = 55°

Answer:

The answer is 1/10

Step-by-step explanation:

Answer:

13m-6z+3

Step-by-step explanation:

5m-4z+8m+3-2z

5m+8m-4z-2z+3

13m-6z+3

Answer:

C nnnnnnnnñnnnnn

Step-by-step explanation:

That is the answer C

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

Answer:

gdfgdf

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

d=(−0.306)(1.67)+0.9979

Step 1: Simplify both sides of the equation.

d=(−0.306)(1.67)+0.9979

d=−0.51102+0.9979

d=(−0.51102+0.9979)    (Combine Like Terms)

d=0.48688  

Answer:

108 women

Step-by-step explanation:

add the parts of the ratio together

5 + 4 = 9

divide the total number of employees by 9

243/9 = 27

now multiply the parts of the ratio by 27.

5 X 27 = 135

4 X 27 = 108

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

Answer:

Step-by-step explanation:

hope the above solution will help you

Answer:

f(x)=x^(2),[2,3]

-2x-h+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Tammy has $550 in debt, and she pays it off in one day, then the equation to represent her situation would look like this.

$550 - $550 = $0

Hope this helps!

Answer:If I let +t+=+0+ ( no months have passed )

+D%280%29+=+550+

-----------------

+t+=+1+

+D%281%29+=+550+-+.19%2A550+

+D%281%29+=+550%2A%28+1+-+.19+%29+

-------------------------

+t+=+2+

+D%282%29+=+550%2A%28+1+-+.19+%29+-+.19%2A%28+550%2A%28+1+-+.19+%29+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%2A%28+1+-+.19+%29+

+D%282%29+=+550%2A%28+1+-+.19+%29%5E2+

--------------------------

This pattern continues, so the general formula is:

+D%28t%29+=+550%2A%28+1+-+.19+%29%5Et+

+D%28t%29+=+550%2A.81%5Et+

I hope you see this. Each month 19% of the

PREVIOUS months balance gets subtracted.

Step-by-step explanation:

Answer:

Ill help if u still need

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Substitute y for 9: 7x - 36 = 6

Add 36 to both sides: 7x = 42

Divide both sides by 7: x = 6

It's 6, do you need something more simplified?

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal  to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to   3 seconds then we get 24 + 3 = 27

Answer:

21.5

Step-by-step explanation:

(solve in parentheses first)

43/(7-3)x2

(43/4)x2

86/4

21.5

Answer:

[tex]21.5[/tex]

Step-by-step explanation:

First you have to simplify 7 - 4 to 3.

[tex]43 \div 4\times 2[/tex]

Then Simplify 43 ÷ 4 to 10.75.

[tex]10.75 \times 2[/tex]

And lastly, Simplify.

[tex]21.5[/tex]

Therefor, the answer is, 21.5.

Answer:

In Python:

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

if exam >= project and exam >= lab:

   print("Highest Grade: "+str(exam))

elif project >= exam and project >= lab:

   print("Highest Grade: "+str(project))

else:

   print("Highest Grade: "+str(lab))

if exam <= project and exam <= lab:

   print("Lowest Grade: "+str(exam))

elif project <= exam and project <= lab:

   print("Lowest Grade: "+str(project))

else:

   print("Lowest Grade: "+str(lab))

print("\nGrades below 70")

if exam < 70:

   print("Exam: "+str(exam))

if project < 70:

   print("Project: "+str(project))

if lab < 70:

   print("Lab: "+str(lab))

print("\nAverage: "+str((exam+project+lab)/3))

if exam > 70 and project >70 and lab > 70:

   print("All grades are above 70")

Step-by-step explanation:

The next three lines get input for exam, project and lab

exam = int(input("Exam: "))

project = int(input("Project: "))

lab = int(input("Lab: "))

This condition checks if exam is the highest grade

if exam >= project and exam >= lab:

If true, exam is printed as the highest grade

   print("Highest Grade: "+str(exam))

This condition checks if project is the highest grade

elif project >= exam and project >= lab:

If true, project is printed as the highest grade

   print("Highest Grade: "+str(project))

If otherwise

else:

lab is printed as the highest grade

   print("Highest Grade: "+str(lab))

This condition checks if exam is the lowest grade    

if exam <= project and exam <= lab:

If true, exam is printed as the lowest grade

   print("Lowest Grade: "+str(exam))

This condition checks if project is the lowest grade    

elif project <= exam and project <= lab:

If true, project is printed as the lowest grade

   print("Lowest Grade: "+str(project))

If otherwise

else:

lab is printed as the lowest grade

   print("Lowest Grade: "+str(lab))

This prints the header "Grades below 70"

print("\nGrades below 70")

This checks if exam is below 70.

if exam < 70:

If true, exam score is printed

   print("Exam: "+str(exam))

This checks if project is below 70

if project < 70:

If true, project score is printed

   print("Project: "+str(project))

This checks if lab is below 70

if lab < 70:

If true, lab score is printed

   print("Lab: "+str(lab))

This calculates and prints the average

print("\nAverage: "+str((exam+project+lab)/3))

This checks if all three scores are above 70

if exam > 70 and project >70 and lab > 70:

If true, the the message that all are above 70, is printed

   print("All grades are above 70")

Answer:

rectangles

Step-by-step explanation:

Answer:

rhombii

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

iTS JUST a

Answer:

Step-by-step explanation:

i cant see it

Answer:

you gonna answer it

Step-by-step explanation:

Because that's yours book

Answer: fraction

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

For example, 10% can also be .10.

You just move the decimal two places to the right or left depending on which one you want.

Answer:

the 8 for 9.25

Step-by-step explanation:

that is the best deal because 1.25 dollars per apple for for the 5 apples for 6.25 dollars rather than 1.15 dollars per apple for the 8 apples for 9.25 dollars so therfore 8 for 9.15 is overall a better for the price per apple

Answer:

a.) 0.115

b.) 0.087

Step-by-step explanation:

Given,

P(A) = 20% = 0.20

P(B) = 30% = 0.30

P(C) = 50% = 0.50

Let M - major repairing during first year

P(M/A ) = 0.05

P(M/B) = 0.10

P(M/C) = 0.15

a.)

P(M) = P(M∩A) + P(M∩B) + P(M∩C)

       = P(M/A).P(A) + P(M/B).P(B) + P(M/C).P(C)

      = (0.05)(0.20) + (0.30)(0.10) + (0.15)(0.50)

     = 0.01 + 0.03 + 0.075

     = 0.115

⇒P(M) = 0.115

b.)

P(A/M) = P(A∩M)/ P(M) = P(M/A).P(A)/P(M)

                                     = (0.05)(0.20) / 0.115

                                     = 0.01 / 0.115 = 0.087

⇒P(A/M) = 0.087

Answer:

The correct answer is 128

Answer:

the answer is option (b)

Answer:

First option: y= -4/3x + 7

Step-by-step explanation:

It's perpendicular

Answer:

Step-by-step explanation:

[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]