Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. It is 35°F at 1:00 p.m.. Write and solve an equation to find how many hours x it will take to reach −1°F.

An equation is

It will take _ hours to reach −1°F.

To find the missing rate and new balance, we used the simple interest formula. The rate was calculated to be 5% and the new balance after 3 years, including interest earned, was determined to be $517.50.

The subject in question here is simple interest calculation, which is a fundamental concept in finance and mathematic subjects. To solve for the missing rate and new balance, we can use the formula Interest = Principal x rate x time.

First, we rearrange the interest formula to solve for the rate:

Rate = Interest / (Principal x Time)

Plugging in the provided numbers:

Rate = $67.50 / ($450 x 3)

Rate = $67.50 / $1350

Rate = 0.05 or 5%

Now, we find the new balance using the formula:

New Balance = Principal + Interest

New Balance = $450 + $67.50

New Balance = $517.50

Therefore, the interest rate is 5% and the new balance after 3 years is $517.50.

Answer:

Correct option is:

C. (f + g)(x) = 3x² – 2x – 1

Step-by-step explanation:

f(x) = –4x + 3 and g(x) = 3x² + 2x – 4

We have to find (f + g)(x).

We know that (f+g)(x)=f(x)+g(x)

⇒ (f+g)(x)=-4x+3+3x²+2x-4

⇒ (f+g)(x)=3x²-2x-1

Hence, Correct option is:

C. (f + g)(x) = 3x² – 2x – 1

The value of b in the equation of the trend line is 21

The equation of the trend line of the scatter plot is given as:

y = 15x + b

The points are given as: (6.4, 117) and (6.6, 120).

Using (6.4, 117), we have:

117 = 15 * 6.4 + b

Evaluate the products

117 = 96 + b

Subtract 96 from both sides

21 = b

Rewrite as:

b =21

Hence, the value of b in the equation of the trend line is 21

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The equation of the line that is perpendicular to y + 1 = -3 (x - 5) and passes through the point (4, -6) is y = 1/3x - 22/3.

The subject of this question is Mathematics, specifically the topic of linear equations.

The line given in the question is y + 1 = -3 (x - 5). To find the equation of a line that is perpendicular to this given line and passes through the point (4, -6), we need to understand the concept of slope.

Simplifying, the equation of the perpendicular line is y = 1/3x - 4/3 - 6 or y = 1/3x - 22/3.

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-5(-2f-6)

 distribute by multiplying -5 by everything inside the parenthesis

-5 * -2f = 10f

-5 *-6 = 30

so you get 10f+30

The simplified expression is -202.2, which can be expressed as a decimal as -202.2.

To simplify the expression, we need to perform the operations in order of operations (PEMDAS/BODMAS). First, we simplify the expressions inside the parentheses:

2.7 + 5 = 7.7

Next, we can rewrite the expression:

3(7.7) - 23(7.7) - 2

Now, we can multiply each term:

3 * 7.7 = 23.1

23 * 7.7 = 177.1

-23.1 - 177.1 - 2

Finally, we can combine like terms:

-202.2

The simplified expression is -202.2, which can be expressed as a decimal as -202.2.

Final answer:

To simplify the expression 3(2.7+5)−23(2.7+5)−2, we first evaluate the addition inside the parentheses and then perform the multiplication and subtraction step by step to get the final simplified answer as -156.

Explanation:

To simplify the expression 3(2.7+5)−23(2.7+5)−2, we first evaluate the addition inside the parentheses: 2.7+5 = 7.7.

Substituting this value back into the expression, we get 3(7.7) - 23(7.7) - 2.

Next, we perform the multiplication: 3(7.7) = 23.1 and 23(7.7) = 177.1.

Substituting these values back into the expression, we have 23.1 - 177.1 - 2.

Finally, we perform the subtraction: 23.1 - 177.1 = -154 and -154 - 2 = -156.

Therefore, the simplified answer as a decimal is -156.

Answer:

A. [tex]f(x)=-4|x+2|+3[/tex]

Step-by-step explanation:

We have been given an image of an absolute function. We are asked to find the formula for our given absolute function.

The formula of parent absolute function is [tex]f(x)=|x|[/tex] with vertex at (0,0)

We can see that the vertex of our given function is at [tex](-2,3)[/tex]. This means that our function is shifted to left by 2 units. We can represent this information as: [tex]f(x)=|x--2|=|x+2|[/tex]

We can also see that our graph is reflected across x-axis, so after reflection our function would be [tex]f(x)=-|x+2|[/tex]

We can see that our graph is shifted upwards by 3 units, so graph after shifting would be [tex]f(x)=-|x+2|+3[/tex].

Our graph is stretched vertically by a scale factor of 4, so after stretching our function would be [tex]f(x)=-4|x+2|+3[/tex].

Therefore, option A is the correct choice.

Final answer:

By adding the distance from A to M to A's coordinate, we find that M's coordinate is 1.

Explanation:

The question asks to find the coordinate of point M on a number line where point A has a coordinate of −1.5, point B has a coordinate of 6, and the ratio of the distances AM to MB is 1:2. To solve this, we first identify that AM and MB are segments on the number line with point M somewhere between A and B. Since AM:MB = 1:2, we know that for every unit distance from A to M, there are 2 unit distances from M to B.

The total distance between A and B is 6 - (−1.5) = 7.5 units. Dividing this distance in the ratio 1:2, implies that AM takes up one-third of the total distance and MB takes up two-thirds of the total distance. Therefore, AM = ¼ * 7.5 = 2.5 units. Adding this distance to the coordinate of A gives us the coordinate for M: −1.5 + 2.5 = 1. So, the coordinate of point M is 1.

Answer:

-250

Step-by-step explanation:

Answer: yeah it's -250

Step-by-step explanation: just submitted the test

The coordinates for the points of intersection of the line y=-1.5x + 3 with the coordinate axes are (0,3) for y-axis and (2,0) for the x-axis.

To find the points of intersection of the line with the coordinate axes, we will set the values of y and x to zero separately. So, let's start from the intersection of the line with the y-axis. For this, we set x=0 in the equation y = -1.5x + 3. Thus, y = 0*(-1.5) + 3 which gives us y = 3. So one point of intersection is (0,3). Next, finding the x-intercept requires setting y=0, which gives 0 = -1.5x + 3. Solving this equation, we get x = 3 / 1.5 or x=2. Hence, the other point of intersection is (2,0). Therefore, the coordinates for the points of intersections are (0,3) and (2,0).

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Answer:

Remaining amount of jeans after x sales = 688 - 2x

In this expression

2x = The number of jeans purchased.

-2 = The number of jeans the stock is reduced by from each sale.

2 = The number of jeans sold with each purchase.

Step-by-step explanation:

Given information:

Total number of jeans = 688

He decides to reduce the stock by having a buy one get one free sale.  It means that every purchase will reduce this inventory by 2 pairs of jeans.

Average rate of change = -2

Let x be the number of purchase.

So, the total amount of jeans in stock after each sale is

Remaining amount of jeans after x sales = 688 - 2x

In this expression

2x = The number of jeans purchased

-2 = The number of jeans the stock is reduced by from each sale.

2 = The number of jeans sold with each purchase

The correct answer is C.

Thanks and have a good day :)

Part A.

We can create a linear equation from this problem. Let us say that C is total cost and m is number of months, therefore:

C = 59.99 + 49.99 m

Part B. For m = 12 months, the total cost is:

C = 59.99 + 49.99 * 12

C = $659.87

Part C. We have already calculated in part B the total cost for the 1st year:

C1 = $659.87

For the 2nd year, the equation becomes:

C = 59.99 + 69.95 m

C = 59.99 + 69.95 * 12

C2 = $899.39

Therefore the total cost C1 + C2 is:

$1,559.26

The total cost of m months of basic cable service, including installation, can be represented by the algebraic expression 59.99 + 49.99m. For installation and one year of basic cable service, the cost is 659.87. For the first two years, including installation and basic cable service, the cost is 1549.23.

Part A:

To represent the total cost of m months of basic cable service, including installation, we can use the algebraic expression:

59.99 + 49.99m

Part B:

To calculate the total cost for installation and one year of basic cable service, we substitute 12 for m in the expression:

59.99 + 49.99(12) = 59.99 + 599.88 = 659.87

Part C:

For the first two years, the cost includes the installation and basic cable service for the first 12 months at $49.99 per month, and the following 12 months at $69.95 per month. So we write the expression as:

59.99 + 49.99(12) + 69.95(12) = 709.83 + 839.4 = 1549.23

To convert 175% to a fraction, write it as 175/100 and then simplify by dividing both numerator and denominator by their greatest common divisor, 25, which gives a simplified fraction of 7/4.

One hundred seventy five percent as a fraction can be converted by writing the value of the percent as a fraction with a denominator of 100. To convert the percent to a fraction, we write 175% as 175/100. This fraction can then be simplified. To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 25.

Here is the step-by-step simplification process:

Write 175% as a fraction: 175/100

Divide both the numerator and the denominator by 25: (175 ÷ 25) / (100 ÷ 25) = 7/4

The simplified fraction for 175% is therefore 7/4.

complete question given below:

What is one hundred seventy five percent as a fraction?