Exponential and Logarithmic Functions

4^x=8^x-1​

Answer:

y = -2x - 2

Step-by-step explanation:

Answer:

Corresponding parts of congruent triangles are congruent

Answer:

Part A. x is greater than or equal to 2.25.

part B. 2.25

Answer:

you should add the 2 last

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

Large candle) $6.25

Small candle) $3.5

Step-by-step explanation:

Let x be the cost of a large candle and y be the cost of a small candle.

Because Lexi bought two large candles and five small candles for $30, the first equation is 2x+5y=30.

Because Carl bought one large candle and three small candles for $16.75, the second equation is x+3y=16.75

We have two equations:

2x+5y=30 and x+3y=16.75

   1) Multiply both sides of x+3y=16.75 by 2 to get 2x+6y=33.5

   2) Subract the two equations

       2x+6y=33.5

      - 2x+5y=30

      =        y=3.5

   3) Plug y=3.5 into one of the equations.

       2x+5(3.5)=30

       2x+17.5=30

       2x=12.5

         x=6.25

   4) Check the work by plugging both variable in the other equation

        6.25+3(3.5)=16.75

        6.25+10.5=16.75

        6.75=16.75

Answer:

$672

Step-by-step explanation:

If there was something that you wanted to buy and it was $800 and you had a coupon that was 16% off then 16% off of 800 is 672.

16% is 800

if 16% is 800, 8% is 400, and 1 % is 50, 50 * 100 = 5000

overall budget is $5000

Check the picture below.

Explanation:

In each case, the problem statement tells you that cost depends on something. The dependent variable is cost. The independent variable is the quantity of that something. You can assign variables in the traditional way: let y = cost; let x = the quantity that costs. Or, you can assign more meaningful letters/names for the variables: let c = cost; let h = hours; let p = number of persons in the car.

The total cost in each case consists of a base cost that does not depend on hours or persons, and a per-unit cost that does. The latter is multiplied by the quantity and added to the former to give you your equation.

Variables: let c = cost in dollars; let h = hours

Equation: c = 2h +3 . . . . $3 is the base cost (for safety equipment); $2 is the per-hour cost.

Table: a few ordered pairs are ...

  (h, c) = (0, 3), (1, 5), (2, 7), (3, 9)

__

Variables: let c = cost in dollars; let p = number of persons in the car

Equation: c = 2h +4 . . . . $4 is the base cost; $2 is the cost per person

Table: a few ordered pairs are ...

  (p, c) = (1, 6), (2, 8), (3, 10), (4, 12)

Answer:

13 and 1/2

Step-by-step explanation:

1/2 gets 4 1/2

1 1/2 could be tbroken down to

1/2+1/2+1/2  each half gets you 4 1/2

so 4 1/2+4 1/2 +4 1/2 =13 1/2

Answer:

i belive its 5 percent

Step-by-step explanation:

5 perent

Answer:

0.04411764705

Step-by-step explanation:

Answer:

0.04411764705 is the correct answer ┌(・。・)┘♪

Answer:

the interest rate was 8% per year.

Explanation:

To begin with, we will find the total amount of interest paid:

$1914-$1650=$264.

Divide by 2 years:

$264/2=$132.

Hence now, we can find the interest rate:

$1650/100%=$16.5;

$132/$16.5=8%.

Answer:

A. is the answer.

i hope the below visual answer helps. as you are not able to post the question properly. you yourself need to compare the graph with the graph given below and that is the right answer.

Answer:

bert had 60 paper clips, while ernie had 36 paper clips, when bert gives ernie 12 paper clips they both have 48 paper clips.

Step-by-step explanation:

b=bert clips; e=ernie clips;

5/3b=e; b-12=e+12; therefore there would have to be a difference of 24 between them, since at the lowest bert has 2 more paper clips than ernie to get a difference of 24 you multiply both sides by 12

Bert has 60 paper clips while Ernie has 36 paper clips.

Equation is used to show the relationship between two or more numbers and variables.

Let x represent the number of Bert paper clips and y represent the number of Ernie paper clip.

Bert has 5 paper clips for every 3 paper clips that Ernie has. Hence:

Also, If Bert gives Ernie 12 paper clips, they will have the same number of paper clips. Hence:

From solving equation 1 and 2 simultaneously:

x = 60, y = 36

Bert has 60 paper clips while Ernie has 36 paper clips.

Find out more on equation at: https://brainly.com/question/13763238

Answer:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.

Step-by-step explanation:

Answer:

The answer is option D

Step-by-step explanation:

The formula for circumference of a circle is [tex]2\pi r[/tex] , since the diameter is double the radius we change the 2 and r of the equation into just the diameter which is D.

Hope you understood  

Answer:

Option D

Step-by-step explanation:

Circumference is usually given by:

C = 2πr

But, since diameter = 2r

So,

C = π (2r)

C = πd

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

Step-by-step explanation:

Diagonals of rectangle are equal

[tex]\\ \tt\longmapsto 4x+6=6x-4[/tex]

[tex]\\ \tt\longmapsto 4x-6x=-4-6[/tex]

[tex]\\ \tt\longmapsto -2x=-10[/tex]

[tex]\\ \tt\longmapsto x=5[/tex]

Answer:

Step-by-step explanation:

6x+x2=7x2=14x+13=0    14x+13

                                        divde both sides by 14 =x=0.92857

Answer: Look at photo

Step-by-step explanation:

Answer:

1/2

((-2)^2-(4*2)^1/3)/abs(-2*2)

-2^2 = 4

4*2 = 8

-2*2 = -4 and abs of that is 4

4-(8)^1/3/4

8^1/3 = 2

4-2 = 2

2/4 = 1/2

Step-by-step explanation:

Answer:

[tex]r\leq 84[/tex]

Step-by-step explanation:

Let's write an inequality:

[tex]7+r\leq 91\\Subtract \ 7 \ from \ both \ sides\\r\leq 84[/tex]

Hi there!

"AT MOST" can be denoted by the sign:

r + 7 ≤ 91

Or, r + 7 has to be LESS THAN or EQUAL TO 91.

We can solve using subtraction; subtract 7 from both sides:

r + 7 - 7 ≤ 91 - 7

r ≤ 84

Answer:

3.82 cm

Step-by-step explanation:

Use the formula for a cylinder; V = π[tex]r^{2}[/tex]h

Plugin the numbers that are given. Solve for h.

48 = (3.14)([tex]2^{2}[/tex])h

48 = (3.14)(4)h

48 = 12.56h

48/12.56 = 12.56h/12.56

h = 3.819 cm