Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Answers

Answer 1

Answer:

y = 7 [tex]3^{x}[/tex]

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus

a = 7

y = 7 [tex]b^{x}[/tex]

Using (5, 1701 )

1701 = 7 [tex]b^{5}[/tex] ( divide both sides by 7 )

243 = [tex]b^{5}[/tex] ( take the fifth root of both sides )

b = [tex]\sqrt[5]{243}[/tex] = 3 , thus

y = 7 [tex]3^{x}[/tex]

Answer 2

Answer: y=7(3)^x

Step-by-step explanation:

Just did it


Related Questions

Sylvie finds the solution to the system of equations by graphing.
y =2/3x + 1 and y = -2/3x-1. Which graph shows the solution to Sylvie's system of equations?​

Answers

Answer:

The third graph is your answer.

Step-by-step explanation:

I included a graph below with the correct graphing.

5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?​

Answers

Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

Answer:

63cm

Step-by-step explanation:

2 pieces of rope, and one is shorter by 18cm.

piece 1: x

piece 2: x-18

Add the equations together, combine both pieces

2x-18

2x-18 = 108

108+18 = 2x

126 = 2x

x = 63

The surface area of a sphere with a diameter of 12 units is:

Answers

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

ASAP HELP Which equation is equivalent to: 3r=90−5 ?
A. 3r+5=90
B. −3r=−90−5
C. −3r=90+5
D. 3r=90+5

Answers

Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is equivalent equations?

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

Learn more about equation here:

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Which point is located at (–1, 3)? On a coordinate plane, point A is 1 unit to the right and 3 units down. Point B is 3 units to the left and 1 unit up. Point C is 1 unit to the left and 3 units up. Point D is 3 units to the right and 1 unit down. A B C D

Answers

Answer:

Point C.

Step-by-step explanation:

When the x-value is negative, the point is moving left. In this case, the point is moving left 1.

When the y-value is positive, the point is moving up. In this case, the point is moving up 3.

Only Point C fits the description.

Answer:

point c

Step-by-step explanation:

hope i helped c:

At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays both a string and a brass instrument?

Answers

Answer:

0.09

Step-by-step explanation:

Total = 35+5+10+5 = 55

P(string&brass) = 5/55

= 1/11 = 0.09090909

What is the decimal multiplier to decrease by 1.7%?

Answers

Answer:

0.983

Step-by-step explanation:

100(0.983)=98.3

Answer:

[tex]0.983[/tex]

Step-by-step explanation:

[tex]\frac{100-17/10}{100}[/tex]

[tex]\frac{100-1.7}{100}[/tex]

[tex]=0.983[/tex]

SOMEONE PLS HELP!! its due in 10 minutes

Answers

Answer:

option 2 is better( 3 pizza with 30 inches diameter)

Step-by-step explanation:

Area of the large pizza = A=πr^2=962.11 * 2( for two pizzas)=1924.22

Area for small pizza : A=πr^2=706.86*3 pizza=2120.58

your buying more pizza for less price

(there are more than one way to figure the answer)

What is the product?
1
12
64
2
78
30
6
32
78 30
6
64
78 30
6
32
39
15
6
64
39 30

Answers

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

Answer:

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

PLEEEEEEEEEEEASE HELP
The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)?

Answers

Step-by-step explanation:

5f

5 + n times of a number

Find the of this circle in terms of pi

Answers

Answer: π / 4

Step-by-step explanation:

Area of a circle = π x r^2

= π x 0.5^2

= π / 4

Answer:

A = 0.25 π m²

Step-by-step explanation:

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

Where r = 0.5 m

A = (0.5)^2 × π

A = 0.25 π m²

*WILL MARK BRAINLIEST* What solutions to the system of equations graphed below?

Answers

Answer:

(-2, 0) and (0, 4)

Step-by-step explanation:

The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)

Find the value of x.

Answers

Answer:

its 1

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

All angles in a circle add up to 360°.

8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5

Answers

Step-by-step explanation:

8-4(-x + 5)

8 + 4x - 20

4x - 12

find the surface area of sphere please help me i’ll give u brainlest

Answers

Answer:

[tex]Surface Area = 84.9 cm^2[/tex]

Step-by-step explanation:

Surface Area = [tex]4\pi r^2[/tex]

Putting r = 2.6 cm

SA = 4(3.14)(2.6)²

SA = 4(3.14)(5.76)

SA = 84.9 cm²

Answer:

[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]

Johnny rode his bike StartFraction 4 over 7 EndFraction of a mile from his house to the lake on a straight path. Then, he turned around and rode his bike 3 and StartFraction 1 over 8 EndFraction miles in the opposite direction. About how far is Johnny from his house? 1 and one-half miles 2 miles 2 and one-half miles 3 miles

Answers

The answer is A!! I took the test

Answer:

1 1/2 miles

Step-by-step explanation:

(aka option A on edge)

En comsumo combustible de u camion durante un dia de viaje es el 21,77 litros ,el consumo del siguiente dia es de 15,22 litros¡cuanto combustible consumio el camion en total

Answers

Answer:

36.99 litros de combustible.

Step-by-step explanation:

En este problema debemos calcular el combustible total de consumió el camión, para eso debemos sumar el valor que consumió el día 1 más el valor que consumió el día 2, de la siguiente manera:

Consumo total = Consumo día 1 + Consumo día 2

Consumo total = 21.77 + 15.22

Consumo total = 36.99

Es decir que el consumo total del camión es de 36.99 litros de combustible.

WILL GIVE BRAINLIEST AND 20 POINTS IF ANSWERED FULLY AND CORRECTLY. Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course(geometry). a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given. b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other? c. What is the measure of the angle between the bikers? d. What is the relationship between the measure of the angles and the paths the bikers took? e. Classify the triangle the paths created. f. How many miles did they travel together?

Answers

Answer:

See below

Step-by-step explanation:

See attached for reference

The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg

a) Biker A travels a straight line (hypotenuse of triangle)

It is likely the bikers meet at the bottom point of the triangle

They make almost same displacement from the start point:

24 miles ≈ √12²+21² miles

b) they meet each other

c) 30 deg

d) e) as per picture attached, it is almost right triangle

f) Together they traveled 12+21+24= 57 miles

if (5,k) is a solution of 2x+y-6=0,then find the value of k.

Answers

[tex]answer \\ k = - 4 \\ solution \\ 2x + y - 6 = 0 \\ (5 \: k) \: is \: a \: solution \: so \\ x = 5 \: and \: y = r \\now \\ 2x + y - 6 = 0 \\ or \: 2 \times 5 + r - 6 = 0 \\ or \: 10 + r - 6 = 0 \\ or \: 10 - 6 + r = 0 \\ or \: 4 + r = 0 \\ or \: r = 0 - 4 \\ r = - 4 \\ hope \: it \: helps[/tex]

Can someone please help me with this

Answers

I think its B. 7

Its less than 15 and all the others.

Answer:

it b7

Step-by-step explanation:

I NEED HELP PLEASE, THANKS! :)

Answers

Answer: b) increasing for x < -4/3 and x > 4/3

                    decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and the follow the curve from left to right.  When you are going up, it is increasing.  When you are going down, it is decreasing.

see the image below.  Red is increasing. Blue is decreasing.

The vertices occur when x = -4/3 and x = 4/3

Here is the photo if you can see it, but what is the equation and if anyone answers , whats the value of A?

Answers

Answer:

35-17

Step-by-step explanation:

Answer: A + 17 = 35

Step-by-step explanation:

Because both sections are equal to the same amount as 35.  

The rectangle for "a" plus the rectangle for 17 put together equal the same rectangle size as 35.

The measurement of the supplement of an angle is 39 more than half the angle. find the measure of the angle and its complement​

Answers

Answer: 94, 86

Step-by-step explanation:

x + x/2 + 39 = 180

x + x/2 = 180 - 39

x = 94

Other angle is 180 - 94 = 86

Answer this please thanks

Answers

Answer:

m∠BOC = 60°

Step-by-step explanation:

Step 1: Find x

7x + 30 + 9x + 42 = 104

16x + 72 = 104

16x = 32

x = 2

Step 2: Plug x into ∠BOC equation to find m∠BOC°

9(2) + 42

18 + 42 = 60

Find the difference 6/19-9/17

Answers

Answer:

-69/323

Step-by-step explanation:

6/19-9/17=6*17-19*9/19*17

=102-171/323

= -69/323

-69/323 = -0.21362.

What is the quotient of the division?

742 ÷ 7 = ?

16
61
106
116

Answers

Answer:

c, 106

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

pls mark as brainliest

I will give you brainliest!!!!! Use the elimination method to solve the system of equations 3x-y=8 3x+3y=12

Answers

Answer:

x=3

y=1

(3,1)

Step-by-step explanation:

Answer: c. (3, 1)

Step-by-step explanation:

(3x - y = 8) + (3x + 3y = 12) = 6x + 2y = 20

Divide by 2

3x + y = 10

Plug in 3 for x

3(3) + y = 10

9 + y = 10

10 - 9 = 1

y = 1

Which of the binomials below is a factor of this trinomial?
X2-16x + 28
O A. x+7
O B. x2 + 7
O c. x+4
O D. X-14

Answers

Answer:

x-14

Step-by-step explanation:

The binomial which is a factor of this trinomial is (x- 14).

What is Trinomial?

An algebraic expression with three terms is called a trinomial.

Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.

Given:

p(x) = x²-16x + 28

If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.

factorizing p(x)

x²-16x + 28

= x²-14x + 2x + 28

= x( x- 14) + 2 (x+ 14)

= (x- 14)(x+ 2)

Hence, the binomial is (x- 14).

Learn more about Trinomial here:

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A car used 1

64 of a gallon of gas to drive 1

4 of a mile. At this rate, how many miles

can the car travel using 1 gallon of gas?

Answers

Answer:

64 gallon = 4 miles

1 gallon = 4/64

= 0.0625 miles

-5(x - 1) = 2x - 7x + 5

Answers

Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

-5(x - 1) = 2x - 7x + 5

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

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

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

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