11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)

Answers

Answer 1

9514 1404 393

Answer:

  y = -6x +9

  y = 9·(1/3)^x

Step-by-step explanation:

In each case, the y-intercept is 9.

Linear

The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...

  y = mx + b . . . . . . . slope m, intercept b

  y = -6x +9

Exponential

The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...

  y = 9·(1/3)^x

11.Write The Equations Of Linear And Exponential Functions That Pass Through The Points (0,9) And (1,3)

Related Questions

PLEASEEEEEEEEEEEE HELPPPPPPPPPP :(
will give brainliest

32,300 is 85% of what

Answers

Answer:

27455

Step-by-step explanation:

32300per of 85

is 27455


Is the equation y=5x+90 proportional?

Answers

Answer:

yes, x does have an exact proportion of y

Step-by-step explanation:

A pet store has 40 freshwater fish. Of all the fish in the store, 80% are freshwater fish. How many fish does the store have in all?

Answers

Answer:

50 fish

Step-by-step explanation:

80% 40 fish :8

10% 5 fish x10

100% 50 fish

Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pound of beef?

Answers

1) $9.60

2)$13.77

3)$4.17

Step-by-step explanation:

13.77 is the correct answer


An equation for a line is 3x + 3y = 18.
What are the slope and Y -intercept point?

Answers

Answer:

y = -1x + 6

slope ^   ^ y-intercept

Step-by-step explanation:

3x + 3y = 18

3y = -3x + 18

y = -1x + 6

hope this helps

Answer:

y int: 6 slope: -1

Step-by-step explanation:

Convert to y=mx+b format

3x + 3y - 18 = 0

3x - 18 = -3y

-1x + 6 = y

in mx+b format, m is the slope and b is the y-int:

m = -1

b = 6

Consider a square-based straight pyramid. Suppose that the base is a square with sides 10 km long, and all other edges are 17 km long. Find an approximate value of the angle formed between the base and a triangular face. Present your answer in degrees, accurate up to four or more decimal places.

Answers

Answer:

72.06

Step-by-step explanation:

Given that :

Side Lenght, a = 10

Edge length, b = 17

Using Pythagoras :

h = height of pyramid

h = sqrt (b² - 1/2a²)

h = sqrt(17^2 - 10^2/2)

h = sqrt(289 - 50)

h = 15.46

Slant height :

L = sqrt(h² + a²/4)

L = sqrt(15.46² + 25)

L = sqrt(239 + 25)

L = sqrt(264)

L = 16.25

Sinα = h/L

α = sin^-1 (15.46/16.25)

α = 72.060933

= 72.06

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:

Square base

[tex]h = 0.5\cdot L[/tex] (1)

Triangular face

[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)

Where:

[tex]L[/tex] - Side length of the square base, in kilometers.[tex]l[/tex] - Remaining side length of the triangular face, in kilometers.

Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:

[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)

If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:

[tex]h = 5\,km[/tex]

[tex]H = \sqrt{17^{2}-5^{2}}[/tex]

[tex]H \approx 16.248\,km[/tex]

[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]

[tex]\theta \approx 72.0775^{\circ}[/tex]

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

We kindly invite to check this question on pyramids: https://brainly.com/question/16303112

X^2+17x+50=0 to the nearest tenth.

Answers

Since you cannot really factor this problem easily, we are going to resort to the quadratic formula!

x= -b+or- sqrt(b^2-4ac)    / 2a

x=-17+ or - sqrt(17^2-4*50)   /2

x=-17+ or - sqrt89 /2

Now we just need estimate sqrt 89 which is about 9.43 and I will not bother to show the step I did to estimate its about 9.43.

So x= -17+ or -9.43 /2

x= -26.43/2 or -7.57/2

x=-13.215 or -3.785

Round to nearest tenth digit.

x= -13.2 or -3.8

Hope this helps any questions just ask in the comments.

in which equation is y a nonlinear function of x ? will Mark brainiest is for the correct answer please help me​

Answers

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

The power of x is 1 everywhere except equation (B), where it is 1/2.

Equation B is a nonlinear function of x.

Answer:

Step-by-step explanation: D

PLEASE HELP ME!!!!!!!!

Answers

Answer:

x = 50

Step-by-step explanation:

x = 180 - 130 = 50

Answer:

x=50

Step-by-step explanation:

$18.99 CD, 28% markup what is the mark up on the CD

Answers

Answer:

twenty four dollars thirty cents

Pls help me this is 7th grade (ADVANCED)

Answers

Answer:

10,24,33 could form a triangle

Step-by-step explanation:

5 + 19 is not greater than 25

6 + 12 is not greater than 19

15 + 17 is not greater than 44

Please see image below. What is the value of X in the figure to the right? What is the measure of angle DGC in the figure to the right?

Answers

Answer:

x = 50

DGC: 130 degrees

Step-by-step explanation:

x and the angle next to the angle x-10 are vertical angles are equal, so that means the two angles that add up to 90 are x and x-10.

x + x - 10 = 90

2x - 10 = 90

2x = 100

x = 50

The measure of angle DGC is:

180 - x

180 - 50

130

Write three equivalent fractions for 4/5

Answers

Answer:

8/10, 16/20, 12/15

Step-by-step explanation:

Just multiply both the 4 and the 5 by the same number (any number), and you have an equivalent fraction.

Answer:

4/5

8/10

12/15

it's your answer

From $5 to $8 in percent

Answers

Answer:

Step-by-step explanation:

That would be 8/5 = 1.3 = 130/100 = 130%

66666666666666666666

Evaluate
2a+2b when a=10.8 and b=8.3.

Answers

38.2!! 10.8 x 2 + 8.3 x 2

A truck travels from a factory to a gas station in 2 minutes. It stops at the gas station for 5 minutes. The truck then returns to the factory in 3 minutes. Which graph best represents the distance in milies of the truck from the factory after a certain
amount of time. x. in minutes?


Answers

Answer:

x=16

Step-by-step explanation:

Convert 6 over 15 to a decimal.
0.2
0.3
0.4

Answers

Answer:

0.4

Step-by-step explanation:

just do 6 divided by 15

Answer: 0.4 :)

Step-by-step explanation:

What is the average rate of change between:
x= 1 and x = 2?
x = 2 and x = 3?
x= 3 and x = 4?

Answers

Answer:

The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.

Step-by-step explanation:

Find the slope and y-intercept of the graph of the equation y=1/2x+7

Answers

slope: 1/2
y int: 7

nsnfjwjfjsj

GUYS please help ;)
The volume inside a rectangular storage room is 2061 feet The room is 9 feet high find the area of the floor

Answers

Answer:

The area of the floor equals 229 square feet.

Step-by-step explanation:

The volume of a rectangular storage is given by the area of the floor multiplied by the height of the room. (It follows directly from the formula of a bar.) So the area of the floor is given by the volume of the rectangular storage divided by the height of the room. In symbols: [tex]V=Ah[/tex] gives [tex]h=\frac{V}{A}[/tex]. Substituting the given gives that [tex]h=\frac{2061}{9}=229[/tex] square feet, precisely what we were asked.

Answer:

The area of the floor is 229 ft.

Mila and Ava play a number game. Mila gives Ava a number and she does three computations:

She subtracts 5 from that answer.
She multiplies the number by 2.
Then, she adds 8 to the answer.
What number should Mila give Ava so that the final answer is 92?

Answers

Answer:

Step-by-step explanation:

(x-5)2+8 = 92

2x-10+8 = 92

2x = 94

x = 47

Answer:

Step-by-step explanation:

2(n-5)+8=92

2n-10+8=92

2n-2=92

2n=94

n=47

which of the value of x satisfies the equation below -2x-7=12

A: x= -9.5

B: x= -9

C: x=9

d:x=9.5

Answers

Answer is A.
You start by adding the 7 to the opposite side. Giving you 19. You divide both sides by -2 which gives you x on one side and -9.5 on the other.

-2x-7=12
-2x=12(+7)
-2x=19
x=19/-2
x=-9.5

An urn contains four dice. Two have faces numbered 1,2,3,4,5, and 6; one has faces numbered 2,2,4,4, 6 and 6; and one has all six faces numbered 6. One of the dice is randomly selected from the urn and rolled. The same die rolled a second time. Calculate the probability that a 6 is rolled both times ( hint Law of total probability) Group of answer choices

Answers

Answer:

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

Step-by-step explanation:

Two have faces numbered 1,2,3,4,5, and 6

So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:

(1/6)^2 = 1/36

So

[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]

One has faces numbered 2,2,4,4, 6 and 6;

The probability of rolling 2 faces six with this dice is:

(2/6)^2 = 4/36

This dice has 1/4 probability of being chosen. So

[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]

One has all six faces numbered 6.

The probabilityu of rolling two six is given by:

(6/6)^2 = 1^2 = 1

This dice has 1/4 probability of being chosen. So

[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]

Calculate the probability that a 6 is rolled both times

[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]

21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times

A car can travel 41 miles on 1 gallon of gasoline. How far can it travel on 14
gallons?

Answers

Answer:

574

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

The car goes 28 miles on 1 gallon of gas. If you have 14 gallons you would go 14 times faster than if you only have 1 gallon

At Pizza Pi, 32% of the pizzas made last week had extra cheese. If 16 pizzas had extra cheese, how many pizzas in all were made last week?

Answers

Answer:

50

Step-by-step explanation:

you need to put  first the 32 on top of 100 since it always goes over 100 then you put 16 over a blank and you divide 32 by 16 which equals 2 so since you divided at the top you need to divide at the bottom so you divide 100 by 2 and you get 50 so 50 is your answer

I need help with this is there any chance someone can pls also include the work thanks!

Answers

Answer:

Triangle C

Step-by-step explanation:

Given

Triangle A, B, C and D

Required

Pick the odd triangle

From the attachment, we can see that:

A = Right angled triangle

B = Right angled triangle

C = Obtuse triangle

D = Right angled triangle

This is so because triangle C has one of its angles to be greater than 90 (i.e. 115) and other triangles (A, B and D) have an angle equal to 90, each.

Because C is obtuse and others are right-angled, then C is the odd triangle.

The University of South Texas is interested in determining if there is a difference in the average weight gain between male students (group 2) and female students (group 1) during their freshman year. They take a random sample of 10 male students and 10 female students. Find the confidence interval with 95% confidence. The 95% confidence interval is (2.4, 20.4). A. We are 95% confident that the population mean weight gain for male University of South Texas students is 2.4 more to 20,4 more than female University of South Texas students. B. We are 95% confident that the population mean weight gain for female University of South Texas students is 2.4 more to 20.4 more than male University of South Texas students. C. We are 95% confident that the sample mean weight gain for female University of South Texas students is 2.4 more to 20.4 more than male University of South Texas students. D. We are 95% confident that the sample mean weight gain for male University of South Texas students is 2.4 less to 20.4 more than female University of South Texas students.

Answers

Answer: A. We are 95% confident that the population mean weight gain for male University of South Texas students is 2.4 more to 20,4 more than female University of South Texas students.

Step-by-step explanation:

Given a 95% confidence interval of : (2.4, 20.4)

The lower boundary of the interval = 2.4

The upper boundary of the interval = 20.4

Male = group 2, Female = group 1

P2 - P1 is between lower boundary more and upper boundary more ;

Hence

Population mean weight for male is 2.4 more to 20.4 more than female

Rotate the figure 90 degrees about vertex A.

Answers

Answer:

A' is (1,1) B is (4,1) C is (1,-1)

Step-by-step explanation:

Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).

All the teachers at a school are either left footed or right footed.
At the school
the number of left footed teachers:the number of right footed teachers = 3:13
At the school, there are 18 left footed teachers.
How many right footed teachers are there?

Answers

Answer:

78

Step-by-step explanation:

Ratio of left-footed teachers to right-footed teachers = 3:13

18 left-footed teachers; 3x6 = 18 (3:13 is a simplified ratio and to get 18, you have to multiply 3 by 6)

13x6 = 78 (whatever you do to one side, you have to do the other)

78 right-footed teachers

The are 78 teachers are right footed.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The ratio of the number of left footed teachers: the number of right footed teachers = 3:13

Total left footed teachers = 18

let the Common ratio be x.

Then , number of left footed teachers= 3x

and, number of right footed teachers= 13x

So, 3x= 18

x= 6

Hence, there are 78 teachers are right footed.

Learn mor about algebra here:

https://brainly.com/question/24875240

#SPJ2

The prom committee has no more than $600 to spend on centerpieces for the prom. If each centerpiece costs $25, what is the maximum number of centerpieces the committee can buy?

Answers

Answer:

600/25 = 24

Brainiest plz :)

Answer:

600/25 = 24

Have a good day I hope this helps.

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