Find the equation of the exponential function represented by the table below:

Answer:

x=22

Step-by-step explanation:

Reorder the terms:

3(-4 + x) = 2(x + 5)

(-4 * 3 + x * 3) = 2(x + 5)

(-12 + 3x) = 2(x + 5)

Reorder the terms:

-12 + 3x = 2(5 + x)

-12 + 3x = (5 * 2 + x * 2)

-12 + 3x = (10 + 2x)

Solving

-12 + 3x = 10 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-12 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x

-12 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0

-12 + 1x = 10 + 0

-12 + 1x = 10

Add '12' to each side of the equation.

-12 + 12 + 1x = 10 + 12

Combine like terms: -12 + 12 = 0

0 + 1x = 10 + 12

1x = 10 + 12

Combine like terms: 10 + 12 = 22

1x = 22

Divide each side by '1'.

x = 22

Simplifying

x = 22

Answer:

y = x - 8

Step-by-step explanation:

Slope intercept form:  y = mx + b, where b is the y-intercept.

Solve the given equation for y and then compare the result with this y = mx + b:

3y = 3x - 24

Dividing all three terms by 3 yields:

y = x - 8 (answer).  The slope is 1 and the y-intercept is -8.

Answer:

a) 5/6

b) 7/8

c) 3/4

Step-by-step explanation:

Draw models for the fractions provided and compare.

Hope this helps.

Answer:

5/6<6/7  3/4<5/6>7/8     2/3>3/4>7/12

Answer:

180 of the drinks sold were soda

Step-by-step explanation:

if we divide 600 by 0.30, which is 30%, we would get 180, so your answer would be 180.

Answer:

[tex]x^{2}[/tex]-4x+4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6 divided by 2/3 = 6 x 3/2 = 18/2 = 9

hope this helped!

Answer:

2/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6 blue cassettes × 45 min = 270 min

8 green cassettes × 55 min = 440 min

270 min + 440 min = 710 min

Answer:

Step-by-step explanation:

The dashed vertical line indicates that -3 is not included so x is greater than -3. The diagonal line is solid indicating that it is included so y is greater than or equal to -4x/5 -2. So it is second answer.

Answer:

The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)

So, the required 8th term is 49152.

The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.

The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]

And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]

The given series is,

3, 12, 48, ....

First term=3

The common ratio is,

[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]

So, the given series is geometric series so the 8th term by the above formula is,

[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]

Learn more about the topic Geometric Series:

https://brainly.com/question/26042879

Answer:

multiply length x width x height.

l x w x h

Answer:Case 1: Principal: 10,000; Period: 1 year Case 2: Principal: 1,000; Period: 10 years Case 3: Principal: 5,000; Period: 2 years Case 4: Principal: 2,500; Period: 4 years Simple Interest is a product of period, principal and interest rate, for a given interest rate, the interest earned would be equal if the product of principals and period is same for any number of cases. In our examples, we see that the product of principal and period comes out to be 10,000 in each case.

Step-by-step explanation:

Answer:

I cant draw 4 u sry

Answer:

A. c = 3.5h + 15

Step-by-step explanation:

I can't exactly draw the problem BUT I can still help.

C represents the cost altogether but we do not know how much the total cost would be.

So we're paying $15 as a fee, no more from that.

Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.

Now, c = 3.5h + 15.

(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)

Answer:

57 x 457 x 4.3 = 10 x (5.7 x 4.3) = 10 x 24.51 = 245.1

Step-by-step explanation:

If we look closely at the two equations you will see the following...

57 x 4.3 = 10 x (5.7 x 4.3)

(Since we know what 5.7 x 4.3 equals to we just substitute the value of 24.51 and get...)

57 x 4.3 = 10 x 24.51

57 x 4.3 = 245.1

Answer:

C. Trapezoid

Step-by-step explanation:

A hexagon is a polygon with six sides, thus and six interior angles ABCDEF. After the segment AD (which is the diameter of the circle P) has been drawn, it divides the hexagon into two halves. With each half forming the shape of a trapezoid, so that ADEF is a trapezoid.

Thus, the appropriate option is C, trapezoid.

Answer:

10

Step-by-step explanation:

Let XY = a

Since,

XY + YZ = XZ

a + YZ = 24

YZ = 24 - a

By angle bisector property:

[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]

Answer:

47.5 y²

Step-by-step explanation:

The formula for finding the area of a circle: πr²

The radius (r): 5.5

Square (multiply by itself) 5.5.

5.5² = 30.25

Multiply by pi (3.14).

94.985

This figure is a semicircle, therefore, divide the area by 2.

47.4925

Round to the nearest tenth.

47.5

The area of this figure is 47.5 y².

Answer:

The answer is "Option e"

Step-by-step explanation:

use formula:

[tex]N(\mu\ , \ \sigma)= N(555,101)\\\\ \frac{N}{\mu}= 326\\\\\sigma=80\\\\\text{manny has weight}=700 \ lbs\\\\\to z-score= \frac{x-\mu}{\sigma}[/tex]

                   [tex]=\frac{(700-555)}{101} \\\\ = \frac{(145)}{101} \\\\ = 1.44[/tex]

Answer:

Bobcats (i am assuming you need the team with the higest ratio of wins to losses)

Step-by-step explanation:

As a decimal cougars is 1.2 Bulldogs is 1.6 tgers is 0.6 and the largest is bobcats which os 2.0 so the answer is bobcats.

Answer:

B

Step-by-step explanation:

Answer:

1, 1, 2, 2, 4, 5, 8

Step-by-step explanation:

Hope this helps :)

Maybe brainliest?

Answer:

40.5

Step-by-step explanation:

if y varies jointly as the square of x and the cube of z and inversely as the square root of w, this is expressed as;

y ∝ x²z³/√w

y = kx²z³/√w

If x = 2, z = 2, y = 12 and w = 64

Substitute;

12 = k (2)²(2)³/√64

12 = 32k/8

12 = 4k

k = 12/4

k = 3

To get y when x = 1, z = 3, and w = 4.

y = 3 (1)²(3)³/√4

y = (3*27)/2

y = 81/2

y = 40.5

Hence the value of y is 40.5

Answer:

below in explanation

Step-by-step explanation:

This basically means that for any value of x, the answer will always be 6

Answer And Step-by-step explanation:

F(x) = 6

^^ the domain of a constant function is the set of all real numbers.

so therefore; the answer is all real numbers

x is -31 because you had to add -11 and -20

Answer:

Let F = The number of $5 bills and T = the number of $10 bills.  She has 15 bills total, so:

F+T = 15                

T = 15-F

She has $120 total:

$120 = ($5)*F + ($10)*T

$120 = $5*F + ($10)*(15-F)         [Substitute 15-F in place of T]

120 = 5F + 150 - 10F

-30 = -5F

6 = F

Check:

T= 15-F = 15=6 = 9

$120 = ($5)*6 + ($10)*9

$120 = $30 + $90

$120 = $120

Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.

Let x represent the number of $10 bill, y represent the number of $5 bill and z represent the number of $1 bill. Hence:

10x + 5y + z = 101   (1)

Also:

y = x + 5     (2)

And:

z = 4x    (3)

From equation 1, 2 and 3:

x = 4, y = 9, z = 16

Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.

Find out more on equation on: https://brainly.com/question/2972832

Answer:

difference between x and 2

Step-by-step explanation:

x-2< 9

x< 11

Answer:

Step-by-step explanation:

Answer:

0.07017543859

Step-by-step explanation:

I hope this helps have a nice day!

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