Model each pair of situations with exponential functions f and g. Find the approximate value of x that makes f(x) = g(x).
25. F: initial value of 100 decreasing at a rate of 5%
G: initial value of 20 increasing at a rate of 5%

Answer:

56.ft

Step-by-step explanation:

Answer:

56 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5h

Step-by-step explanation:

there isnt any out numbers so the answer is just 5h.

Answer:

Option  - What number , when divided by four , is equal to negative twenty  is correct

Step-by-step explanation:

Given equation is

Rewrittting the given equation as below :

The number a is divided by 4 is equal to -20

Option question describes the given equation What number , when divided by four , is equal to negative twenty  is correct

Answer: I'm not 100% sure what you're asking for, but the full answer to the last question is a .25 increase or a 25% increase.

Step-by-step explanation:

First, we need to see how much it increases.

We would take 1.50, and minus 1.25 from it to get our first answer of .25.

To get the percentage of increase, we would take our .25, and times it by 100 equaling 25%.

Answer:

2. 14 and 42

i hope it's right :)

Step-by-step explanation:

Let the number be x

So, the larger number = 3x

So the # is 14

Other #

42

The ages of John and Sam are 47.34 and 17.66 years respectively.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, John’s age is 12 more than 2 times Sam’s age. The sum of their ages is 65.

Let, The age of Sam be 'x'.

Therefore, 2x + 12 + x = 65.

3x = 53.

x = 17.66.

So, Sam is 17.66 years old and john is (65 - 17.66) = 47.34 years old.

learn more about numerical expressions here :

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Answer:

20%

Step-by-step explanation:

9/45 x 100

Answer:

20% of the pot is filled when it contains 9 litres of water.

Step-by-step explanation:

45 litres (total)

9 litres (filled)

9 ÷ 45 = 0.2

0.2 × 100 = 20

(Basically:  [tex]\frac{9*100}{45}[/tex])

Answer: the slope is -5/8

Step-by-step explanation: use desmos graphing calculator, it helps a lot. just put the 2 coordinates in and you see that the y value drops from 9 to 4, and the x value moves right from 1 to 9, hence -5/8

Answer:

5

Step-by-step explanation:

The points have a distance of 5 away from eachother

Answer:

[tex]\huge\boxed{\sf w = 16}[/tex]

Step-by-step explanation:

-5w = -80

Divide -5 to both sides

w = -80/-5

w = 16

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

Answer:

Step-by-step explanation:

Angle ACD and Angle DCA you will realize that they represent the same angle.

Answer:    3x or 1 4/2x

Step-by-step explanation:

3/2x+1/2x+x=1 4/2x=3x

she earns $10.25 an hour

Answer: 41/4

Step-by-step explanation:

1. Calculate 164/16

2. Simplify 41/4

3. Alternative Forms 10.25 or 10 1/4

Answer: f(x)=20(1.0125)^t

Step-by-step explanation:

use the formula P(1+r)^t when considering exponential growth (make it 1-r if decay)

P - principal (initial) value

r - growth rate (as a decimal! so divide by 100)

t - time (can be years, months, days, etc)

so now that we know the formula, just plug in everything you know!

P=20, r=0.0125, t=x

so the function is

20(1+0.0125)^t or 20(1.0125)^t

since we dont have a defined time, that becomes the variable for x, the one we can manipulate, so if they ask for 10 years, just replace t with 10!

Simplified form of the fraction is -9/8. Therefore, option A is the correct answer.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, (7-2×8)/(∛8+6).

= (7-16)/(2+6)

= -9/8

Therefore, option A is the correct answer.

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Answer:

Repeating

Repeating

Non-Repeating

repeating

Step-by-step explanation:

Y intercept is the value of y at x = 0

At x = 0, y = 3

Y intercept is 3

The rate of growth of the cat is positive, meaning thats it gains, not loses, weight.

Option C is the only correct one.

It has a positive slope, and a y intercept of 3

To solve for slope mathematically, pick two points.

(0, 3)    (6,12)

(x1, y1)  (x2, y2)

or

(x2, y2) (x1, y1)

Pick which one is x1 and y1 and x2 and y2 based on what seems easier to calculate

Slope is equal to [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{12-3}{6-0}[/tex]

9/6

slope is 3/2

Hope this helps,

Jeron

:)

Answer:

Part A:

8 x 7 = 56; 56 x 10 = 560

Part B:

504

Part A & B explanation:

If you notice, there are no decimals in the answers so it's clear they round them. 8.4 rounded is 8 & 6.9 rounded is 7. To find the area of a singular rectangle is length x width. 8 x 7 = 56. In part A the directions say "best estimate" signaling that it isn't the exact answer you're looking for. 8 x 7 = 56; 56 x 9 = 504 would be the exact answer. (Answer for part b).Therefore, the answer for part A is 8 x 7 = 56; 56 x 10 = 560. Because 560 is the closest to 504 on the board.

Hope this helped <3

Answer:it’s 4 units to the left

Step-by-step explanation: The point (4,3) reflected the x-axis,

=> The x remains the same, the y flips over the x-axis to be negative

     (4,3) ==>> (4,-3)

The point (-3,-8) is reflected in the y-axis.

=> The y remains the same, the x flips over the y axis to be negative

     (-3,-8)==>>(3,-8)

The point (2,4) is reflected in the line x = -3.

=> The x remains the same, the y flips over the x= -3 line.

     Instead of reflecting over the x-axis (or the x = 0) line

     and just being +4 or 4 above the x-axis to -4 or 4 below the x-axis-axis-axis

     you have +4 being 7 above the x= -3 line so you need

     7 below the x= -3 line or -10  SO

      (2,4)==>>(2,-10)

The point (a, b) is reflected in the line y = x

     Consider that the line x=y is a 45-degree diagonal.

     Imagine a point on the 45-degree at +3  i.e. (3,0)

     Imagine a line perpendicular to x=y from the point (3,0)

           (sorry there is no way to draw on here - try drawing it)

    The line would hit the x-axis-axis at (0,3)

    So you can see the x becomes y and y become x.

     (a,b)==>>(b,a)

For

ΔXYZ is defined by its vertices X(1,3), Y(-3,5), and Z(0, -5).

       ΔXYZ is reflected in the y-axis.

So for each of the 3 points X, Y, and Z reflect about

       the y-axis the same way in the second example above

       and you will have the 3 new points X’,  Y', and Z’

The translation T: (x, y) → (x -2, y + 4) maps the point (2, -3) to

The translation T: (x, y) → (x + 3, y - 2) maps the point (-4, -3) to

     What you need to do here is just plug the values for X and Y into the translation.

     e.g. for T: (x, y) → (x -2, y + 4)  plug (2,-3) of x=2 y=-3 into (x -2, y + 4) and get the new values.

Answer:

2/3

Step-by-step explanation:

5/6-(1/8 / 3/4)

Skip flip multiply

5/6-(1/8x4/3)

5/6-(4/24)

5/6-(1/6)

4/6

2/3

hopes this helps please mark brainliest

Answer: 2 1/2 as a fraction

Hope this helps!

Answer:

9

Step-by-step explanation:

Answer:

14.2% increase

Step-by-step explanation:

Corey’s pay increases from £12.36 per hour to £14.11 per hour. Find the percentage increase to 1 decimal place.

(14.11 - 12.36)/12.36 = 0.141586

0.141586 as a percent:

0.141586 * 100 = 14.2% increase

Answer:d

Step-by-step explanation: