Please help me I need it bow

I always prefer quadratic formula as compared to factoring or completing the square to solve a quadratic equation.

What is a quadratic equation?

"A quadratic equation is an algebraic equation of the second degree in 'x'. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term."

In order to solve a quadratic equation, I always prefer quadratic formula as compared to the other methods.

In many cases, a quadratic equation can not be converted into a square or into factors.

Therefore, quadratic formula is the only method to solve all type of quadratic equation.

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I prefer solving quadratic equations with the quadratic formula. The formula is great for solving any equations like ones that factoring can’t. It is also easy to memorize and type in and check with a calculator.

Final answer:

To subtract numbers in scientific notation, both terms must be expressed in the same form. Convert 9.87 x 10^7 to 98.7 x 10^6, subtract 2.5 x 10^6 to get 96.2 x 10^6, and then convert this back to 9.62 x 10^7.

Explanation:

To solve the given problem 9.87 x 10^7 - 2.5 x 10^6, we need to make sure that both terms are in the same form of scientific notation. Here, the base (10) and the exponent (7 and 6) are already in the form of scientific notation. The next step is to perform the subtraction.

Because the two terms are not in the same order of magnitude, we cannot subtract directly. First convert them into the same form: 9.87 x 10^7 is the same as 98.7 x 10^6. Now, we can perform the subtraction: 98.7 x 10^6 - 2.5 x 10^6 = 96.2 x 10^6.

However, the typical form of scientific notation has just one digit before the decimal point, thus convert 96.2 x 10^6 back to 9.62 x 10^7.

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*a clearer picture containing the graph is shown in the attachment

Answer:

20% of the class earned a D

Step-by-step Explanation:

Step 1: Determine the total number of students represented on the graph:

9 students => D

5 students => C

14 students => B

17 students => A

Total number of students = 45

Step 2: Express each category of students who scored a particular grade as a fraction and as percentage.

9 students => D => => as percentage, we have

5 students => C => => as percentage, we have

14 students => B => => as percentage, we have

17 students => A => => as percentage, we have

Step 3: Check each statement to see if they are true or not based on the calculations above.

Statement 1: "⅕ of the students earned a C."

This is NOT TRUE From our calculation, ⅑ of the students earned a C.

Statement 2: "3% more students earned an A than a B." This is also NOT TRUE.

37.8% earned A, while 31.1% earned a B. Thus, about 6.7% more students earned an A than a B.

Statement 3: "20% of the class earned a D".  This is TRUE.

Check calculation in step 2.

Statement 4: "¼ of the class earned a B". This is NOT TRUE.

¼ is 25% of the class. Those who earned a B account for 31.1% not 25% (¼ of the class).

The correct statement is: "20% of the class earned a D"

A map of 720 miles represented by 6 inches.

It is given that 2.5 inches represent 300 miles.

It is required to find the miles represented by 6 inches.

How many miles are represented by 6 inches?

First we have to find how many miles we get in one inch. Then we find in how many miles does 6 inches have.

In  2.5 inches, the map represents 300 miles.

In 1 inch, a map represents 300/2.5miles which are equal to 120 miles.

So, in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

Thus in 6 inches, a map represents (120×6)miles which are equal to 720 miles.

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Answer:

D. 720 miles

Step-by-step explanation:

First, we know that 2.5 inches represents 300 miles. This means that we have to find out how much 1 inch represents in miles. So, we take 300/2.5. This results in 120. So, 1 inch represents 120 miles. Then, we take 6*120 which gets us 720 miles.

Answer:

4 years

Step-by-step explanation:

This is a problem in simple interest:  i = prt, where:

p is the principal (intial amount), i is the interest, r is the annual interest rate and t is the time in years.

                                                    i

Solving i = prt for t, we get t = ------

                                                   pr

                                            $150

which comes out to t = ---------------------  =   4 years

                                       ($500)(0.075)