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

What is one formula containing pi that would be useful in life. This could be any type of formula: circumference, area, volume,

Answers

Answer:

Area of semi-circle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Perimeter of semi-circle = [tex]\pi r + 2r[/tex]     where r is the radius

Step-by-step explanation:

Pi has been used in the construction of arches, bridges, churches and buildings.

Since the bridges and arches are semicircles, Pi helps in determining perimeter of the semicircle which in turn helps in calculating the amount of material required for construction.

Area of semi-circle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Perimeter of semi-circle = [tex]\pi r + 2r[/tex]     where r is the radius

Simplify (write without the absolute value sign):

|x÷3|, if x < 0

Answers

Answer:

0

Step-by-step explanation:

zero divided by anything that is integral is zero and 3 in a integer

0

Answer:

0

Step-by-step explanation:

Please someone help me with this... and please thouroughly explain, i have no clue what to do.

Answers

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

You place two wooden support beams under a shelf, as shown. Find the value of x. (3x-13 ) (x- 3) x=

Answers

Answer:

x = 49

Step-by-step explanation:

Fins the similar diagram attached;

The sum of the angles is 180 degree since they lie on the same straight line. Hence;

3x - 13 + x - 3 = 180

Collect the like terms;

3x+x -13 - 3 = 180

4x - 16 = 180

4x = 180 + 16

4x = 196

x = 196/4

x = 49

Hence the value of x is 49

Note that the values in question is different from that of diagram but the diagram is similar to what we need

The scale of a map is 1/2 in : 8 mi. What is the actual distance of the map if it is 2 in?

Answers

1/2 in= 8 miles so 2 inches on the map=32 because there is 4 half inches in 2 inches and then you times 8 by 4 because that’s how many 1/2 inches are in 2 inches and that gives you 32.

Brainliest if correct

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

7.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.


Time (hours)
4
6
8
10
Distance (miles)
212
318
424
530

A. [tex]\frac{1}{53}[/tex]; Your car travels 53 miles every 1 hour.

B. [tex]\frac{53}{1}[/tex]; Your car travels 53 miles every 1 hour.

C. 212; Your car travels 212 miles.

D. 10; Your car travels for 10 hours.

Answers

Answer:

The answer is A) The car travels 53 mph(Miles Per Hours).

212/4 = 53

318/6 = 53

424/8 = 53

530/10 = 53

Step-by-step explanation:

Answer:

B)  rate of change is 53, your car travels 53 miles every 1 hour .

Step-by-step explanation:

Given : Table for time and distance.

To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

Solution : We have given that Table for time and distance.

rate  of  change= .

rate  of  change= .

rate of change =  53.

rate  of  change= .

rate of change =  53

rate of change =  .

rate of change =  53.

rate of change =    .

rate of change =  53.

Therefore, B)  rate of change is 53, your car travels 53 miles every 1 hour .

Answer: A

Step-by-step explanation:

If 9(x + 5) = 63 , what is the value of x + 5 ?

Answers

x=2 so the value of x+5 is 7

Can someone please help me with math.

Answers

Answer:

9

Step-by-step explanation:

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.​

Answers

Answer:

x = 7[tex]\sqrt{2}[/tex] and y = 7

Step-by-step explanation:

Since this is 45 45 90 triangle, each leg is the same length so y = 7 too and x is always [tex]a\sqrt{2}[/tex]  so x = 7[tex]\sqrt{2}[/tex]

The values of [tex]x[/tex] and [tex]y[/tex] are required.

The required values are

[tex]x=9.9\ \text{units}[/tex]

[tex]y=7\ \text{units}[/tex]

The given triangle is a right angled triangle.

Two given angles are [tex]90^{\circ}[/tex] and [tex]45^{\circ}[/tex]

The sum of the angles is [tex]180^{\circ}[/tex]

The missing angle is

[tex]180-(90+45)=45^{\circ}[/tex]

Since, the two angles are equal the side opposite the angles will also be equal.

So,

[tex]y=7[/tex]

Applying the Pythagoras theorem.

[tex]7^2+7^2=x^2\\\Rightarrow x=\sqrt{7^2+7^2}\\\Rightarrow x\approx 9.9[/tex]

Learn more:

https://brainly.com/question/17307037?referrer=searchResults

Use the Distributive Property to expand the expression. 0.2(15m − 25n)

Answers

Answer:3m-5n

Step-by-step explanation:

Kara bought a gift for her nephew. She spent $25 on the gift. Sales tax was 6.75%. What was the total cost for the gift , including tax?

Answers

To find total price multiply the cost of the item by 1 + tax rate.

25 x 1+6.75% = 25 x 1.0675 = 26.69

The total cost was $26.69

The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%

Answers

Complete question is;

The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?

Answer:

0.14 or 14%

Step-by-step explanation:

We are told that the probability that the comic book readers prefers comics published by company A is 25%.

Thus; P(A) = 25% = 0.25

Also, we are told that the probability that comic book reader is male 70%.

Thus; P(M_r) = 70% = 0.7

We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.

Thus; P(A|M_r) = 40% = 0.4

To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.

Thus;

P(M_r|A) = [P(A|M_r) × P(A)]/P(M)

P(M_r|A) = (0.4 × 0.25)/0.7

P(M_r|A) ≈ 0.14

Welp, the last one before the test

Answers

Answer:

y=2x-3

Step-by-step explanation:

y=mx+c

m=gradient=

5-(-5)/4-(-1)

=10/5

=2

c=y intercept=-3

y=2x-3

Answer:

y = 2x - 3

Step-by-step explanation:

(4, 5) and (0, -3)

m=(y2-y1)/(x2-x1)

m=(-3-5)/(0-4)

m=(-8)/(-4)

m=2

y - y1 = m(x - x1)

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 3

Find the triangles area drawing not to scale.

Answers

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

All repeating decimals are irrational True or false

Answers

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

Write an algebraic expression for the following situation: 12 3/4 less than the product of 7 and a number x *

Answers

Answer:

7x - 12 3/4

product of 7 and a number x: 7x

12 3/4 less than the... : - 12 3/4

Answer:

7x - 12 3/4

Step-by-step explanation:

The area of circle Z is 64Pi ft2. Circle Z is shown. Radius D has length r. R = StartRoot StartFraction Area Over pi EndFraction EndRoot What is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft

Answers

Answer:

r = 8 ft

Step-by-step explanation:

Area of a circle => πr²

We are told in the question that:

The area of circle Z is 64Pi ft²

= 64π ft²

What is the value of r

We equate

πr² = 64 π

r² = 64 π/π

r² = 64

We square root both sides.

√r² = √64

r =>8 ft

The radius of the given circle Z is 8ft which was solved using the area of the circle

Data;

Area = 64π ft^2radius = r

Area of a Circle

The formula of area of a circle is given as

[tex]A = \pi r^2[/tex]

Let's substitute the values and solve

[tex]A = 64\pi\\A = \pi r^2 \\64 \pi = \pi r^2\\[/tex]

divide through by π

[tex]64\pi = \pi r^2\\\\64 = r^2\\[/tex]

Let's take the square root of both sides

[tex]r^2 = 64\\r = \sqrt{64} \\r = 8ft[/tex]

The radius of the circle Z is 8ft

Learn more on area of a circle here;

https://brainly.com/question/15673093

4Please help!! Geometry, will mark brainliest!

Answers

Rhombuses have four congruent sides, perpendicular diagonals, and their diagonals bisect opposite angles. Rectangles have four right angles and congruent diagonals. Squares contain all the properties from both the rhombus and rectangle.

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

(-2) and 3

Step-by-step explanation:

Answer:

f=-2, f=3, f=-4, they are all smaller than 4!!!

write (3a^3)^2 without exponents

Answers

Answer:

9 x a x a x a x a x a x a

Step-by-step explanation:

[tex](3a^{3})^{2} = 9a^{6} \\[/tex]  Here, we use the law of indices. Everything inside the bracket has to be squared, so 3^2 = 9 and (a^3)^2 = a^6 We use the rule of when one power is within a bracket and one outside, we multiply the two powers together instead of adding.

3^2 can be simplified to 9 as this is simply 3 x 3, but a^6 (this is still a value with an exponent) cannot be simplified so we break this down into the notation of a x a x a x a x a x a

Therefore 9 x a x a x a x a x a x a is the answer.

I hope this helps you!! ^-^

The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a.

What is expansion?

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given the expression,

(3a³)²

By the law of indices

(3a³)² = 3²(a³)²

(3a³)² = 9a⁶

But we cannot write it in exponent form

So,

9a⁶ = 9 × a x a x a x a x a x a.

Hence "The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a".

For more information about the expansion,

brainly.com/question/14447197

#SPJ2

To estimate the percentage of a state's voters who support the current
governor for reelection, three newspapers each survey a simple random
sample of voters. Each paper calculates the percentage of voters in their
sample who support the governor and uses that as an estimate for the
population parameter. Here are the results:
• The Tribune, n = 600 voters sampled; sample estimate = 58%
• The Herald: n = 400 voters sampled; sample estimate = 54%
• The Times. n = 200 voters sampled; sample estimate = 68%
All else being equal, which newspaper's estimate is likely closest to the actual
percentage of voters who support the governor for reelection?
A. The Tribune, at 58%
B. The Times, at 68%
C. The Herald, at 54%

Answers

A.
More people= more accurate results

25 POINTS HELP NOWW
a curcle has a diameter of 14. What is the circumference of the circles exact value?

Answers

Answer:

i dont know math stinks

Step-by-step explanation:

Answer:

I guess the answers in the photo?

If Kate is traveling at 6 m/s and speeds up to 12 m/s in 3 seconds. What is Kate's acceleration?

Answers

Acceleration is 2.......

Someone help plz and make sure its right

Answers

Answer:

12.1 yd

Step-by-Step Explanation:

12.14 yd; round and get 12.1 yd

dis is for my friend to answer
A pool table supply company is making a cardboard box to package new cubes of pool cue chalk. Each cube of chalk is 1 cubic inch. The company considers all the ways to arrange 16 cubes of the chalk. (Which arrangement of chalk would require the most cardboard for the box?)
16 inches by 1 inch by 1 inch
8 inches by 2 inches by 1 inch
4 inches by 4 inches by 1 inch
4 inches by 2 inches by 2 inches

Answers

Answer:

-they all require the same amount of card board because if you take all of the numbers times eachother they all come out as 16

-Soo 16 inches by 1 inch by 1 inch

Step-by-step explanation: Hope this help :D

16 inches by 1 inch by 1 inch

Your answer would be D

Shannon wants to buy some muffins and a greeting card for her friend's party. A local grocery store sells muffins for $2.75 each and greeting cards for $2.00.
If Shannon buys 12 muffins and 1 card, how much money does she spend at the grocery store?

A. $57.00
В. $33.00
C. $35.00
D. $26.75

Answers

Answer:

$35

Step-by-step explanation:

jus trust

I NEED HELP ASAP PLEASE DON'T SPAM :(​

Answers

Answer:

Answer is D hope this helps

Step-by-step explanation:

Its D If this helps thank me lol

Write the equation of the line shown on the graph in slope-intercept form.

Has to be in slope-intercept form.

Answers

Answer:

1/1

it would be rise over run (rise/run) where the line rises 1 and runs 1. good luck. the answer could just be 1.

answer for points and brainiest!

Answers

Step-by-step explanation:

Yes

yes

yes

no

hope this helps

Yes yes yes and no that is the answer
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