Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Answers

Answer 1

Answer:

[tex]y = 2(0.5) {}^{x} [/tex]

Step-by-step explanation:

Use the general formula of exponential equation

[tex]y = ab {}^{x} [/tex]

Plug 0,2 into the function

[tex] - 2 = ab {}^{0} [/tex]

[tex] - 2 = a \times 1[/tex]

[tex]a = - 2[/tex]

[tex]y = - 2b {}^{x} [/tex]

[tex] - 4 = - 2b {}^{ - 1} [/tex]

[tex]2 = b {}^{ - 1} [/tex]

[tex] {2}^{ \frac{ 1}{ - 1} } [/tex]

[tex]2 {}^{ - 1} = 0.5[/tex]

B=0.5

[tex]y = 2(0.5) {}^{x} [/tex]


Related Questions

7x(15+5) plz help me solve this question by formula BODMAS

Answers

The brackets are first, then the multiplication

Which of the following equations has no solutions?
A) 2x – 6 = 2x + 8
B) 4x – 8 = 10
C) 5x + 20 = 5x + 20
D) 9x = 9

Answers

Answer: I did the math in my head and I think it’s B

Step-by-step explanation:

Your answer is A.
2x - 6 = 2x + 8
Just looking at this, it doesn’t make sense. Two times a number - 6 cannot equal two times the same number +8.

But solving it mathematically, we want to get the variables on one side of the equation, so we subtract 2x from both sides:
2x - 2x -6 = 8
Then add 6 to both sides:
2x - 2x = 14
0 = 14 is untrue.


The other options’ answers:

B: x = 4.5
4x - 8 = 10
4x = 18
x = 4.5

C: has an infinite number of solutions. Anything you plug into x on one side of the equation you will plug in on the other side. Both sides are identical.

D: x = 1

Please lmk if you have any questions.

is 1 23/36 the same thing as 263/144 ? ill give brainiest :)

Answers

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

Answers

Answer:

11699 square centimeters

Step-by-step explanation:

In ΔIJK, j = 800 cm, k = 240 cm and ∠I=173°. Find the area of ΔIJK, to the nearest square centimeter.

When given two sides of a triangle and an angle, the area of the triangle is calculated as:

1/2jksintheta

theta = 173°

Hence:

Area of triangle =

1/2 × 800 × 240 × sin 173

= 11699.456967 square centimeters

Approximately = 11699 square centimeters

Please help worth 100 points

Answers

Answer:

I hope you got an answer dude

Answer:

p/rn to the third root of 1^rnt

Step-by-step explanation:

I just this on my edmentum/ plato course so its right

Where does the graph of y = 4x + 24 intersect the x-axis?

Answers

Answer:

(-6, 0)

Step-by-step explanation:

y = 4x + 24

Plug y = 0

0 = 4x + 24

4x = - 24

x = - 24/4

x = - 6

So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)

Answer:

at point x= -6

Step-by-step explanation:

4x+24=0

4x=-24

x=-24/4

x=-6

Lily and Wilder live 810 miles apart. If they leave at the same time and drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph, after how many hours will they meet?

Answers

Given:

Distance between Lily and Wilder = 810 miles

They drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph.

To find:

After how many hours will they meet?

Solution:

Lily driving at 55 mph and Wilder driving at 80 mph towards each other. So, the relative speed is:

Relative speed [tex]=(55+80)\text{ mph}[/tex]

                         [tex]=135 \text{ mph}[/tex]

We know that,

[tex]Time=\dfrac{Distance}{Speed}[/tex]

[tex]Time=\dfrac{810}{135}[/tex]

[tex]Time=6[/tex]

Therefore, Lily and Wilder will meet after 6 hours.

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?

Answers

Answer: y = 10x + 30 is the correct answer

What is the constant rate of change between the two quantities
in the table? PLLSSS HELP PLSSSSSSS GIVING BRAINLIEST

Time (minutes) (x) 15 30 45 60
Number of Pages Read(y) 10 20 30 40

Answers

Answer: number of pages is going by 10. The number of minutes is multiplying 2 times.

Step-by-step explanation:

To find the COP use an in book resource or search it pretty simple

Brand XYZ dog food costs $36 for 15 pounds of dog food . What is the cost per pound?

Answers

Answer:

$2.40

Step-by-step explanation:

36÷15=2.4

since we are talking about money you add a zero.

Hope this helps

Cost of the dog food per pound is $2.4

What is cost?

Cost is the value of money that has been used up to produce something or deliver a service

Cost of 15 pound of dog food = $36

Cost of 1 pound of dog food = [tex]\frac{36}{15}[/tex]= $2.4

Hence, the cost of 1  pound of dog food is $2.4

Learn more about cost here

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write the following number in standard form plezz

7.6 x 10^3

Answers

10^3=1,000

Anything multiplied by 1 is that number. In this case, multiply 7.6 by 1, then add 3 zeroes.

---

hope it helps

Answer:

7,600

Step-by-step explanation:

when you have to multiply by 10 to a power, you just move the decimal to the left as many times as by the power

during the first part of a hike, Andre drank 1.5 liters of the water he brought. If this is 50% of the water he brought, how much water did he bring?
3 liters
6 liters
9 liters
12 liters

Answers

Answer:

50/100 x X = 1.5

x 100       x100

50x = 150

÷50   ÷50

X = 3

X = 3 liters I am pretty sure

what is a simulation

A: the probability of two or more events happening at once

B: a model of a real-world situation that can be used to find probabilities

C: a probability based on expected results

D: a probability based on actual results from an experiment ​

Answers

Answer:

b

Step-by-step explanation:

its a simulation of the real work or place etc

Please help me I need ASAP

Answers

Answer:

y = x² + 10

Step-by-step explanation:

Plz telll me someoneeee

Answers

Step-by-step explanation:

part 1

Area =2L×2B

2(9in) ×2(6in)

18in×12in

=216in²

Part 2

Area of a triangle =½×base ×height

½×9in×14in

=63cm²

Timothy spent 1 hour 22 minutes less than Bill reading last week. Bill spent 47 minutes less than Pete. Pete spent 3 hours reading. How long did Timothy spend reading?

Answers

Answer: 51 minutes

Step-by-step explanation:

Firstly, Pete spent 3 hours reading. Bill spent 47 minutes less than Pete reading so Bill spent:

= 3 hours - 47 minutes

= 2 hours 13 minutes

If Bill spent 2 hours 13 minutes reading and Timothy spent 1 hour 22 minutes less than this, the amount of time that Timothy read for was:

= 2 hours 13 minutes - 1 hour 22 minutes

= 51 minutes

please help with this vocab will mark brainliest​

Answers

Answer:

1. Semicircle

2. Arc Length

3. Minor arc

4. Arc Measure

5. Circumference

6. Diameter

7. Radius

If the radius of a circle is 10cm, what will be the area of the circle?

Answers

Answer:

314

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Can someone help me please

Answers

Answer:

15

Step-by-step explanation:

Tuesdays interquartile range is 45, and monday's is 30. 45 - 30 = 15. Hope this helps!

Just need points sorry

1. Bernardo de Gálvez was a friend to the United States. He helped in providing _____________ and weapons.

Answers

Galvez allowed shipments of weapons, medicine and fabric for military uniforms to be sent to the Continental Army via the Mississippi

A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow. Which numbers are solutions of the inequality? Choose all that apply. 20% 35% 17% 30% 29 and one-half percent% 1.5%

Answers

Answer: 20%, 17%, 29%, 1.5%

Step-by-step explanation:

Given

The likelihood of rain is given by the inequality

[tex]s<30[/tex] i.e. solution to this inequality is less than 30%

So, among the given values, the following are the solution

20%, 17%, 29%, 1.5%

These values are less than 30%; therefore, they are the solution

Answer:

20%, 17%, 29 1/2%, and 1.5%.

Step-by-step explanation:

good luck on your other work

You have a hemisphere with a volume of 6. What is the surface area with a sphere with the same diameter. Round to the nearest thousandth.

Answers

Answer:

(the volume of the hemisphere has no units, so i will suppose that it is 6m^3)

For a sphere of radius R, the volume is:

V = (4/3)*pi*R^3

Where pi = 3.14

And a hemisphere is half of a sphere, then the volume of a hemisphere of radius R is:

V = (1/2)*(4/3)*pi*R^3

We know that the volume of the hemisphere is 6 m^3, then we have the equation:

6 m^3 = (1/2)*(4/3)*3.14*R^3

Now we can solve this for R.

6 m^3 = 2.1*R^3

∛(6 m^3/2.1) = R = 1.41 m

The radius of the hemisphere is 1.41m

Now we want to find the surface of a sphere with this radius (if the radius is the same, then the diameter is the same)

For a sphere of radius R, the surface is:

S = 4*pi*R^2

Then the surface of this sphere is:

S = 4*3.14*(1.41 m)^2 = 24.971 m^2

Write a brief summary of what you know about
slope.

Answers

The slope of a line refers to its steepness. When finding slope, you calculate it as rise over run, which means the change in y divided by the change in x.

Abigail is 54 inches tall. Which of the following is Abigail's height?

Answers

Answer:

If you wanted it to be converted to ft, then her height would be: 4 ft , 5 inches

~hope this has helped you out, have a gr8 day!~

Step-by-step explanation:

HELP!

Find the measure for
A)
127°
B)
131°
C)
135°
D)
139°

Answers

Answer:

B) 131°

Step-by-step explanation:

-4a + 139 = 4a + 123 because they are vertical angles

-4a + 139 = 4a + 123

reduce:

8a = 16

a = 2

4(2) + 123 = 131°

will give brainliest if you help me

Answers

Answer:

1120 in³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = area of base × height , then

V = 80 × 14 = 1120 in³

1. A scientist is growing cell cultures and examining the effects of various substances on them as part of his research. The culture in one petri dish increases according to the expression +47 + 4 for timet in minutes. Another increases according to 12 + 2t+4. He needs to feed all the cells equally, so he needs to know the expression for the total number of cells in both dishes because the food is proportional to the total number of cells. Find the expression.​

Answers

Pay attention in class

6 – [ - 2( - 3 – 5)] =

Answers

Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

Please do 6-7 ASAP

Answers

the answers are
6) y=7/3
7) y=4

Answer:

Step-by-step explanation:

(6). y = [tex]\frac{1}{3}[/tex] x + 2 [ linear function ]

(7). y = 4 [ horizontal line, linear function ]

(8). x = 2 [ vertical line, not a function ]

If the value of y varies inversely with x , which function represents the relationship between x and y if y = 48 when x = 3?

A. Y= 144/x

B. Y= 16/x

C. Y= x/16

D. Y= x/144

Answers

Answer:

A. Y = 144/x

Step-by-step explanation:

Inversely means y = 1/x

If y = 48, when x = 3

so 144/3 = 48

Therefore the answer is A

If the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

What is a function?

A relation is a function if it has only One y-value for each x-value.

If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.

To find k, we can use the given values of y and x:

y = k/x

48 = k/3

k = 144

Now that we know k, we can write the function that represents the relationship between x and y:

y = 144/x

Therefore, if the  value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3

To learn more on Functions click:

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