If the profits in your consulting business increase by 6​% one year and decrease by 3​% the following​ year, your profits are up by 3​% over two years

1. it has infinite solutions because since the equations are equal it is a line equation and a line has infinite points

2. It will have only one solutions, because the lines aren't parallel or the same line (we know that because there won't be a number that you can multiply by one of the equations and obtain the other one)

3.it has infinite solutions because since the equations are equal it is a line equation and a line has infinite points

Answer: -2 1/3

Step-by-step explanation:

First, change the word into equation

9*x+3=6

Do division first, so 6/9, simplify into 2/3 then subtract it by 3 which is -2 1/3

Answer:

1.79438504

Step-by-step explanation:

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

For more question on function

https://brainly.com/question/11624077

#SPJ8

Answer:

120 balls

Step-by-step explanation:

Ten dozen is 120.

Given :

A small pot holds 25% as much dirt as a large pot.

To Find :

If the small pot holds 8 cups of dirt, How many cups of dirt does the large pot hold.

Solution :

It is given that small pot holds 25% as much as dirt.

It means that large pot can hold 4 times as small pot.

Let, large pot holds x cups of dirt.

\(x = 4\times 8\\\\x = 32 \ cups\)

Therefore, large pot holds 32 cups.

Answer:

- 2 - 3 is the same thing as -2 + -3. This is because taking away 3 is the same thing as adding - 3. -2 -3 is just a more simplified version of -2 + -3.

Hope this helps!

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

More can be learned about exponential expressions at https://brainly.com/question/25537936

#SPJ1

Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answer: ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{3}{x+2} +\frac{x+1}{x^2+5x+6} \\=\frac{3}{x+2} +\frac{x+1}{x^2+3x+2x+6} \\=\frac{3}{x+2} +\frac{x+1}{x(x+3)+2(x+3)} \\=\frac{3}{x+2} +\frac{x+1}{(x+3)(x+2)} \\=\frac{3(x+3)+x+1}{(x+3)(x+2)} \\=\frac{3x+9+x+1}{(x+3)(x+2)} \\=\frac{4x+10}{(x+3)(x+2)} \\=\frac{4x+10}{x^2+5x+6}\)

\(=\frac{2(2x+5)}{(x+3)(x+2)}\)

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

a) 2

b) 1

c) 5

d) 1

e) 3

f) 4

g) 2

h) 2

Step-by-step explanation:

The exponent of the highest value is the answer.

I hope this is correct!

Answer:

the triangle is isosceles triangle. so, the two angles of the same side are equal.

(5x)°=40°

x = 40/5

x = 8

40° +40°+(2y+20)°=180°

80 + 2y +20 =180°

100° +2y =180°

180°-100°=2y

80° = 2y

80°/2= y

40 = y

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Answer:

Rotation then Transition C on Edge.

Step-by-step explanation

Because im smart like that

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

Since the y-intercept of the estimated line of best fit is at (0, b), the appropriate value of b is 360.

The appropriate slope of the estimated line of best fit is -30

In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0). Therefore, the y-intercept is at (0, 360).

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points on the line:

Substituting the given points into the slope formula, we have the following;

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (360 - 0)/(0 - 12)

Slope, m = -30.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

a. $840

b. $1,260

Step-by-step explanation:

a. 2/5 x 2100 = 840

b. 2100 - 840 = 1,260

Answer:

1. (Draw a vertical line between the x-values 4 and 6)

2. 2

3. (5,-6) and (5,4)

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y  + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

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

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

1 1/3 x 1/3 =234/6

Step-by-step explanation:

your mama

Answer:

  (x -12)^2 -149 = 0

Step-by-step explanation:

Add and subtract the square of half the x-coefficient:

  x^2 -24x +(-24/2)^2 -(-24/2)^2 -5 = 0

  (x -12)^2 -149 = 0

Answer:

Options A and C are correct answers

Step-by-step explanation:

A) \( \angle 5\: and \:\angle 1\) are complementary.

C) \( \angle 3\: and \:\angle 4\) form a linear pair.

Hope it helps you in your learning process.

Correct clear question is;

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? H_0: μ = 5 H_1: μ ≠ 5

Is the hypothesis test left-tailed, right tailed, or two tailed? A Left tailed B Right tailed C Two tailed

What parameter is being used? A population proportion B population mean C standard deviation

Answer:

A) C - Two tailed hypothesis

B) B - Population mean

Step-by-step explanation:

We are given the hypotheses to be;. Null Hypothesis; H_0: μ = 5

Alternative hypothesis; H_1: μ ≠ 5

From the alternative hypothesis, we can see that the critical area of distribution of the parameter being tested could either be less than 5 or greater than 5 due to the not equal to sign. This means it could either be left tailed or right tailed. Thus, it is a two tailed hypothesis.

From the hypothesis, we see that the symbol μ is being used.

In statistics, μ is generally used as a symbol to denote population mean.

Thus, parameter being used/tested is population mean

Answer:

Use a mixed fractional calculator. No one is gonna help u with this many questions...

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

GL

Step-by-step explanation:

Answer:

The graph of g(x) has a lesser y intercept

Step-by-step explanation:

Given

f(x) = 100(-x + 4)

Required

Determine the relationship between f(x) and g(x)

First, we need to get the equation of g(x).

From the question, we have that:

Initial Value = 360

Rate = -90 yearly

[It is negative because the rate shows decrement]

Hence, the equation of g(x) is:

g(x) = Initial Value + Rate * x

Where x represents number of years

g(x) = 360 + (-90 * x)

g(x) = 360 - 90x

g(x) = -90x + 360

Recall that

f(x) = 100(-x + 4)

f(x) = -100x + 400

To solve y intercept, we set x = 0.

f(0) = -100 * 0 + 400 = 0 + 400 = 400

g(0) = -90 * 0 + 360 = 0 + 360 = 360

By comparison, the graph of g(x) has a lesser y intercept

To solve x intercept, we set y = 0

For f(x)

0 = -100x + 400

100x = 400

x = 4

For g(x)

0 = -90x + 360

90x = 360

x = 4

By comparison, they have the same x intercepts.

From the list of given options, option A answers the question.

Answer:

Step-by-step explanation:

16:45 + 14:00

= 30:45

30:45 - 14

= 06:45.