All categories

3 years ago

(x+3)²(65)=x(6)Solve using quadric formula

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

6 0

Step 1: Simplify both sides of the equation.

65x²+390x+585=6x

Step 2: Subtract 6x from both sides.

65x²+390x+585−6x=6x−6x
65x²+384x+585=0

For this equation: a=65, b=384, c=585

65x²+384x+585=0

Step 3: Use quadratic formula with a=65, b=384, c=585

x=−b±√b2−4ac/2a
x=−(384)±√(384)2−4(65)(585)/
2(65)
x=−384±√−4644/130

Therefore, There are no real solutions.

lakkis [162]3 years ago

5 0

Answer:

Use the commutative property to reorder the terms ==> 65(x + 3)^2 = x × 6 ==> 6(x + 3)^2 = 6x

Use (a + b)^2 = a^2 + 2ab + b^2 to expand the expression ==> 65(x^2 + 6x + 9) = 6x

Distribute 65 through the parentheses ==> 65^2 + 390x + 585 = 6x

Move the variable to the left-hand side and change its sign ==> 6x^2 + 390x + 585 - 6x = 0

its sign ==> 6x^2 + 390x + 585 - 6x = 0Collect like terms ==> 65x^2 + 384x + 585 = 0

its sign ==> 6x^2 + 390x + 585 - 6x = 0Collect like terms ==> 65x^2 + 384x + 585 = 0Solve the quadratic equation ==> (that part and onward is in the attachment)

You might be interested in

Write and solve the equations. A number y is five less than thirteen.

Genrish500 [490]

We can follow the following steps to make an equation and solve it.

Step 1:

five less than 13 means we have to subtract 5 from 13

so it becomes 13-5

Step 2:

A number y is five less than thirteen.

Now in algebraic expressions, "is" stands for "="

So we have:

$y=13-5$

Step 3:

Solving the equation to find y.

$y=13-5$

Subtracting 5 from 13, we get :

y=8

Answer:

For the given equation the solution is y=8.

4 0

3 years ago

Look at picture because I cannot put square roots in

monitta

Answer:

Step-by-step explanation:

7 0

3 years ago

9. A box of cereal is packaged and sold at a local

emmasim [6.3K]

Answer:

288 Cubic Inches

Step-by-step explanation:

Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.

First, do Base x Width x Height for the volume of the box.

10 inches x 3 inches x 1 foot (1 foot is 12 inches)

10 x 3 x 12 = 360

Now, take 80% of 360 cubic inches.

80% is 0.8 times a number

0.8 x 360 = 288

288 Cubic Inches

8 0

3 years ago

Use the information frompart a to write an equation representing the number of colories burned each minute while bowling. Let m

Fofino [41]

Answer:

To find the number of calories burned:

Find the Metabolic Equivalent of Task (MET) value of the task.

Calculate the number of calories burned per minute. (MET x body weight in kg x 3.5) / 200.

Multiply the calories burned per minute by the number of minutes of activity.

Now, as per the question, weight is 125 pounds (lb), we will convert the weight in kilogram (kg) which is 1 lb = 0.453 kg, it means 125 lb = 56.7

Now we have to find the MET,

A metabolic equivalent (MET) value is a measurement of the energy cost of a specific physical activity for a specific period of time.

For example. A MET of 1 would be roughly equivalent to a person's energy expenditure from sitting still in a room temperature and not actively digesting food.

As per the Calorie guide value of MET for bowling is 3.9

Now the overall formula is

Calorie Burn (x) = ((MET * body weight in kg * 3.5) / 200) * (Number of minutes) m

x = ((3.9*56.7*3.5)/200) * m

Finally, x = 3.87 m represents the number of calorie burned (x) while bowling m minutes.

8 0

3 years ago

Which set of rational numbers is arranged from least to greatest?

Aleksandr-060686 [28]

Answer:

-0.5, negative 1 over 5, 1 over 9, 1

Step-by-step explanation:

Hope this helps! :) please mark me as brainly :)

3 0

3 years ago

Read 2 more answers

(x+3)²(65)=x(6)Solve using quadric formula​

(x+3)²(65)=x(6)Solve using quadric formula