Does this exponential function represent exponential growth or decay? g(x)=3^z-2

9514 1404 393

Answer:

  (d)  The mean of X, the mean of Y, and the slope

Step-by-step explanation:

A point on the linear regression curve is (mean(x), mean(y)). With that point and the slope, the equation of the line can be found. That equation will reveal the y-intercept.

  y-intercept = mean(y) -slope·mean(x)

Answer:

25000

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

If x ≥ 4, then the equation simplifies to x+4 = x-4, which gives 8=0, which is not true. Therefore, there are no solutions in this case.

If x < -4, then the equation becomes -(x+4) = -(x-4), which simplifies to -x-4 = -x+4. Simplifying further gives -8 = 0, which is not true. Therefore, there are no solutions in this case either.

If -4 ≤ x < 4, then the equation becomes x+4 = -(x-4), which simplifies to 2x = 0. Therefore, x = 0 is a solution.

If we plug x = 0 back into the original equation, we can see that it works:

|0+4| = |0-4|,

which simplifies to 4 = 4.

Therefore, the solution to the equation |x+4|=|x-4| is x = 0.

Answer:

x = 0

Step-by-step explanation:

Because |-4| = |4| = 4, then the only way x+4 can be -4 is if x=0, and the only way x-4 can be -4 is if x=0 as well. x can't be 4 for instance because then we have |8|≠|0|.

Answer:

Step-by-step explanation:

90 i think?

Answer:

Step-by-step explanation:

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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The sequence 11, 6, 1 ....  is an example of an Arithmetic Sequence. The common difference in this sequence will be d = -5.

Arithmetic Progression

It is a mathematical sequence in which all the consecutive terms in a sequence are separated from each other by a common difference throughout the whole sequence i.e. every term is separated from the previous term by a difference which is called a common difference throughout the sequence.

In the given situation, the sequence is 11, 6, 1....

to find the common difference we need to subtract two consecutive terms to know the difference between them.

In this sequence, a₁ = 11 and a₂ = 6. We know Common differences can be represented by d = a₂ - a₁. Putting values we get :

       => d = 6 - 11   => d = -5

Hence, here is a common difference, d = -5 and it is an example of an Arithmetic Sequence.

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hi the answer is ( - ∞, -25/152) U (0, +∞)

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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Answer:

x = 0.39 or

x = -1.72

Step-by-step explanation:

The quadrateic formula is:

\(x = \frac{-b\pm\sqrt{b^2 - 4ac} }{2a}\)

eq: 3x² + 4x - 2

which is of the form ax² + bx + c = 0

where a = 3, b = 4 and c = -2

sub in quadratic formuls,

\(x = \frac{-4\pm\sqrt{4^2 - 4(3)(-2)} }{2(3)}\\\\=\frac{-4\pm\sqrt{16 + 24} }{6}\\\\=\frac{-4\pm\sqrt{40} }{6}\\\\=\frac{-4\pm2\sqrt{10} }{6}\\\\=\frac{-2\pm\sqrt{10} }{3}\\\\=\frac{-2+\sqrt{10} }{3} \;or\;=\frac{-2-\sqrt{10} }{3}\\\\=0.39 \;or\; -1.72\)

Answer:

You didn't pull up a link but the exact definition from the dictionary is, "a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)."

Answer:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation:

Answer:

m4 = 90 - x

m1 = 90 - x

m5 = 90 + x

Step-by-step explanation:

m4 = 90 - x

m1 = 90 - x

m5 = 180 - (90 - x)

m5 = 90 + x

Answer:

t = 55

Step-by-step explanation:

The figure is a  straight line and the sum of angles that make a straight line is 180 degrees

90 + t+ 35 = 180

125+t = 180

Subtract 125 from each side

125 +t-125 = 180-125

t = 180-125

t = 55

Answer:

The point at f(-3) is at (-3,1).

Step-by-step explanation:

To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.

So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.

Remember that ordered pairs are formatted as (x,y).

Hope this helps.

Answer:

Assuming you mean like a savings account. A financial reserve is created to save money over time to cover events such as emergency surgery, etc.

Answer:

-6 +8d -2c

Step-by-step explanation:

\(\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c\)

Answer:

<PQS = 47

<SQR = 43

Step-by-step explanation:

A right angle equals 90°.

7x + 145 + 6x + 127 = 90  Combine like terms

13x + 272 = 90  Subtract 272 from both sides

13x = 90 - 272

13x = -182  Divide both sides by 13

x = -14

Substitute -14 for x

<PQS

7x + 145

7(-14) + 145

-98 + 145

47

<SQR

6x + 127

6(-14) + 127

43

43 + 47 = 90

Step-by-step explanation:

5.|12 - r| > 15

|12 - r| > 15/5

|12 - r| > 3

12 - r < -3 or 12 - r > 3

-r < -3 - 12 or -r > 3 - 12

-r < -15 or -r > -9

r > 15 or r < 9

Answer:  

The distance between them is 91 mi/h

Step-by-step explanation:

Answer:

t = 23/32 + (i sqrt(623))/32 or t = 23/32 - (i sqrt(623))/32

Step-by-step explanation:

Solve for t:

16 t^2 - 23 t + 18 = 0

Divide both sides by 16:

t^2 - (23 t)/16 + 9/8 = 0

Subtract 9/8 from both sides:

t^2 - (23 t)/16 = -9/8

Add 529/1024 to both sides:

t^2 - (23 t)/16 + 529/1024 = -623/1024

Write the left hand side as a square:

(t - 23/32)^2 = -623/1024

Take the square root of both sides:

t - 23/32 = (i sqrt(623))/32 or t - 23/32 = -(i sqrt(623))/32

Add 23/32 to both sides:

t = 23/32 + (i sqrt(623))/32 or t - 23/32 = -(i sqrt(623))/32

Add 23/32 to both sides:

Answer: t = 23/32 + (i sqrt(623))/32 or t = 23/32 - (i sqrt(623))/32

Answer:

The volume of the sphere is 3053. 63 inches.

Step-by-step explanation:

Formula for volume of a sphere is : V = 4 /3 · π · r³

V = 4/3 · π · 9³

V ≈ 3053. 63

The volume of the sphere is 3053. 63 inches.

Answer:

\(A_{total} = 14\ in^2\)

Step-by-step explanation:

Step 1:  Determine the area of the left rectangle

We can tell that the total shape seems like two rectangles glued together.  We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them.  Lets first solve the left rectangle.

\(A = l * w\)

\(A_{left\ rectangle} = 2\ in * 4\ in\)

\(A_{left\ rectangle} = 8\ in^2\)

Step 2:  Determine the area of the right rectangle

\(A = l * w\)

\(A_{right\ rectangle} = 3\ in * 2\ in\)

\(A_{right\ rectangle} = 6\ in^2\)

Step 3:  Determine the total area

\(A_{total}=A_{left\ rectangle} + A_{right\ rectangle}\)

\(A_{total} = 8\ in^2 + 6\ in^2\)

\(A_{total} = 14\ in^2\)

Answer: \(A_{total} = 14\ in^2\)

Area of right rectangle

Area of left rectangle

Total

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Answer:

  ∠B = 79°

Step-by-step explanation:

Vertical angles are congruent, so you have ...

  6x -11 = 5x +4

  x = 15 . . . . . . . . . . . add 11 -5x to both sides

  5x +4 = 5·15 +4 = 79

The angles measure 79°.

_____

Checkk

  ∠A = 6x -11 = 6·15 -11 = 90 -11 = 79

Th approximate area of each cross section of the cone and pyramid  is shown below:

Circle 1 = 144πunits²

circle 2 = 36πunits²

circle 3 = 9πunits²

Triangle 1 = 144πunits²

triangle 2= 36π units²

triangle 3= 9π units²

A pyramid is described as  a structure whose outer surfaces are triangular and converge to a single step at the top, making the shape roughly a pyramid in the geometric sense.

for circle 1 + π*12² = 144πunits²

for Circle  2 = 26²* π = 36πunits²

for Circle 3 = 3²* π = 9πunits²

for Triangle 1 = 1/2*(12π)*(24) =  6π(24) = 144πunits²

for Triangle 2 = 1/2* (6π)* (12) = 36π units²

for Triangle 3 = 1/2* (3π)* (6) =- π units²

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Based on the above, David must save $150 each month to cover the money left over for his first year of college.

To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:

His uncle gave him $12,000 so we must subtract this value from the total he needs.

So he must save $9,000 in 5 years.

According to the above, he must save $1,800 per year, so each month he should save $150.

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