What is the average rate of change of g over the interval -8<x<-2​

Answer:

out of 100

Step-by-step explanation:

Step-by-step explanation:

X+Y=53 HERE YOU GO I HOPE IT HELP

Answer:

Step-by-step explanation: 10 minutes are taken out of the hour so you are left with 50. 50 minutes into seconds is 3,000. Next you add the average amount of seconds for each task totaling to 234.6. The last step is to divide   the amount of time she has with the amount of time it takes to do the the task. 3,000/234.6 is 12.7877 or 12.79

Answer:

\(slope=-\frac{1}{3}\)

Step-by-step explanation:

To find the slope of the two points (1, -1) and (4, -2) we have to use the slope formula.

\(slope=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)             \(slope=\frac{(-2)- (-1)}{4 -1}\)      

\(slope=\frac{-1 }{3}=-\frac{1}{3}\)  can also be written as a decimal  \(slope=-0.333333\)

The sale price of the shirt can be found by calculating 30% of the original price, which in this case would be $22.40 x 0.30 = $6.72. Thus, the sale price of the shirt would be $22.40 - $6.72 = $15.68.

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Answer:

it's either 42 If you add all the sides, or 1769472 if you multiple

Answer:

\(-2x+28\) or \(28-2x\)

Step-by-step explanation:

\(2x+4\left(7-x\right)\)

Expand:

\(2x+28-4x\)

SImplify:

\(-2x+28\) or \(28-2x\)

Answer:

-2x+28

Step-by-step explanation:

2x+4(7-x)

2x+28-4x

2x-4x+28

-2x+28

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

By answering the above question, we may infer that We may reduce this equation to: Applying the rule that log base an of ab = b 4 = x Hence, x = 4.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The equation may be changed to read:

x = log base 3 of 81.

81 being equivalent to 3 to the power of 4, we get the following:

x Equals log base 3 of 34.

We may reduce this to: Applying the rule that log base an of ab = b

4 = x

Hence, x = 4.

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The probability of a chance event is a number between 0 and 1 that expresses the likelihood that an event would occur.

As a general rule in probability, we have:

The above represents the range of a valid probability (both inclusive).

This also represents the likelihood that an event would occur

Hence, the words that complete the blank are likelihood and would.

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Answer:

-181 - 79x

Step-by-step explanation:

I am not sure your comment fits the given problem.

I get the following approach and solution :

T(1 + 4x) = 1×a + 4x×b = 2 + 2x

a = 2 + 2x - 4xb

T(4 + 15x) = 4×a + 15x×b = -3 + 3x

4×(2 + 2x - 4xb) + 15xb = -3 + 3x

8 + 8x - 16xb + 15xb = -3 + 3x

11 + 5x - xb = 0

11 + 5x = xb

b = (11 + 5x)/x

a = 2 + 2x - 4x(11 + 5x)/x = 2 + 2x - 44 - 20x = -42 - 18x

T(3 - 5x) = 3×a - 5xb = 3(-42 - 18x) - 5x(11 + 5x)/x =

= -126 - 54x - 55 - 25x = -181 - 79x

control :

T(1 + 4x) = a + 4xb = -42 - 18x + 44 + 20x = 2 + 2x

T(4 + 15x) = 4a + 15xb = -168 - 72x + 165 + 75x = -3 + 3x

Answer:

The Expression: 120 + 5m

The absolute value equation that has the solution set  is |x + 6| = 2

From the question, we have the following parameters that can be used in our computation:

Solution set = -4 and -8

The midpoint of the above solution is

c = (-4 - 8)/2

So, we have

c = -6

So, we have

|x + 6| = d

Using any of the points, we have

|-4 + 6| = d

Evaluate

d = 2

So, we have

|x + 6| = 2

Hence, the absolute value equation that has the solution set  is |x + 6| = 2

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Answer is Social Security tax: $2,194.80,

Answer:

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

The expected rate of inflation is 0.068627 or 6.86%.

Real Rate of return:

The real rate of return defines the actual amount of return earned by an investment. Inflation reduces the real rate of return, so investor tries to invest in securities that could fetch more return than inflation.

The general formula of the inflation rate is:

\(IR=\frac{1+R_1}{1+R_2} -1\)

Given information is that

Nominal rate of return(R1)=9%

Real rate of return(R2)=2%

Now substitute these values in the above formula:

\(IR=\frac{1+R_1}{1+R_2} -1\\\\IR=\frac{1+0.09}{1+0.02} -1\)

IR=1.068627-1

IR=0.068627 or 6.86%

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Answer:

Amadi: 20 years old

Chima : 4 years old

The equation of the graphed on the coordinate grid parallel to line M y = x and passing through the point P(4, -7) is equal to y = x - 11.

As given in the question,

Equation of the line M is given by :

y = x

Slope of the line M by comparing it with standard equation of the line with slope m is given by :

y = mx + c

Equation of the line M is y = x

Here m = 1

Slope of the required line is m₁ = 1 as it is parallel to line M

Equation of the required line which passes through ( x₁ , y₁) = ( 4, -7) with slope m₁ = 1 is given by:

y - y₁ = m₁( x - x₁)

⇒ y + 7 = 1( x - 4)

⇒ y= x - 4 -7

⇒ y= x - 11

Therefore, the equation of the required line which is parallel to line M and passing through point P is equal to y = x - 11.

Line M is graphed on the coordinate grid. y = x. Which equation can be used to represent a line parallel to M passing through the point P(4, -7)?

A.  x = 4          B. x = -7             C. y = -7              D. y = 4

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Answer:

work is shown and pictured

Answer:

Step-by-step explanation:

is this the whole question?

Segment, ray and line are one-dimensional figures.

We need to check from the given options which are one-dimensional figures.

One-dimensional: Only a single measurement is possible for a one-dimensional figure. A line segment drawn on a surface is a one-dimensional object, as it has only length and no width.  

Here, the segment is a one-dimensional figure.

Ray is a one-dimensional figure.

Angle is a two-dimensional figure.

A line is a one-dimensional figure.

The plane is a two-dimensional figure.

A cube is a three-dimensional figure.

Therefore, segment, ray and line are one-dimensional figures.

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The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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Answer:

7%

Step-by-step explanation:

Given the following :

Total Number of cards left in deck = 10

Number of hearts left in deck = 3

Probability = (required outcome / Total possible outcomes)

Required outcome = hearts card in deck

Two cards are to be dealt to Satara without replacement :

Probability of 1st card being hearts :

P(1st card being hearts) = required outcome / Total possible outcomes

P(1st card being hearts) = 3 / 10

Probability of 2nd card being hearts :

Since it is without replacement :

Required outcome = (3 - 1). = 2

Total possible outcomes = (10 - 1) = 9

P(2nd card being hearts) = 2 /9

Probability of the two cards being hearts :

(3 / 10 × 2/9) = 6 /90 = 0.0666

0.06666 × 100% = 6.66%

= 7% (nearest whole number)

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

for the lake one i THINK its 3

Step-by-step explanation: