MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

This is a 12% change

Step-by-step explanation:

To find the percent change, use the percent change equation.

(New - Old)/(Old) * 100 = Percent Change

(56 - 50)/(50)*100 = Percent Change

6/50 * 100 = Percent Change

.12 * 100 = Percent Change

12% = Percent Change

HIGH SCHOOL

Solve for x: 3x^2+13x=10

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The determinant is given as:

D = -b ±√(b² - 4ac) / 2a

The values of x are:

x = (-13 + √17) / 6

x = (-13 - √17 ) / 6

What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

x + 3 = 4 is an equation.

3x + 4x = 4 is an equation.

We have,

3x² + 13x = 10

This can be written as:

3x² + 13x - 10 = 0

Using the Middle term factorization.

3x² + (10 + 3)x - 10 = 0

3x² + 10x + 3x - 10 = 0

This is not possible so,

Using determinant.

3x² + 13x - 10 = 0

a = 3, b = 13 and c = -10

Now,

Determinant is given as:

D = -b ±√(b² - 4ac) / 2a

D = -b + √(b² - 4ac) / 2a

D = [-13 + √(169 + 120)] / 6

D = (-13 + √17) / 6 _____(1)

D = -b - √(b² - 4ac) / 2a

D = -13 - √(169 + 120) / 6

D = (-13 - √17 ) / 6 ______(2)

Thus,

The values of x are:

x = (-13 + √17) / 6

x = (-13 - √17 ) / 6

Learn more about equations here:

brainly.com/question/17194269

#SPJ2

The first thing you would do is "bring" the 10 over by subtracting 10 from both sides

Now, you would want to factor

Then, set each factor equal to zero, and solve

3x-2 = 0

3x = 2

x = 2/3

AND

x+5 = 0

x=-5

HIGH SCHOOL

Julia and Kajal make deliveries on their bicycles. For each delivery, they need some time to get ready, and then they each ride at a constant speed. Julia takes 40 minutes to make a delivery 5 kilometers away. She uses 10 minutes of the delivery time to get ready

The time it takes Kajal to make a delivery (in minutes) as a function of the distance of the delivery (in kilometers) is given by the following function:

T(d)=15+6d

Who takes more time to get ready?

Who rides faster?

For Julia’s case, we determine first he time it takes her to ride or cover every kilometre knowing that 10 minutes of the given 40 minutes is used for the preparation.

r (Julia) = (40 – 10 min) / 5 km = 6 minutes per kilometre

A. The time it takes Julia to get ready is only 10 minutes while from the given equation, the time it takes Kajal to get ready is 15 minutes. Hence, the answer is Kajal.

B. From the calculation above, it takes Julia 6 minutes to cover a kilometre. From the equation, it is also given that Kajal takes 6 minutes to cover every kilometre. Hence, the answer is Neither as they travel at the same rate.

Answer:

10 on khan academy

HIGH SCHOOL

Which statement is true for all real values of x and y?

They are all variables

MIDDLE SCHOOL

If the circumference of one of the world's largest pizzas is 215 feet, what is its radius? Use 3.14 to approximate pi. Round to the nearest tenth.

C=2(pi)r, so divide 215 by 6.28. r(radius)=34.2