solve the equation by factoring: 6x-0.2x^2=0
Please ill give brainliest to the correct answer

Answers

Answer 1

Answer:

The solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]

Step-by-step explanation:

Given the equation

[tex]6x-0.2x^2=0[/tex]

6x - 0.2x · x = 0

Factor out common term -x

-x (0.2x - 6) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x=0\quad \mathrm{or}\quad \:0.2x-6=0[/tex]

solving

[tex]0.2x-6=0[/tex]

Multiply both sides by 10

[tex]0.2x\cdot \:10-6\cdot \:10=0\cdot \:10[/tex]

Refine

[tex]2x-60=0[/tex]

Add 60 to  both sides

[tex]2x-60+60=0+60[/tex]

Simplify

[tex]2x=60[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{60}{2}[/tex]

Simplify

[tex]x=30[/tex]

Thus, the solution to the quadratic equation:

[tex]x=0,\:x=30[/tex]


Related Questions

the product of 5 and 3
less than 7

Answers

-8

5*3=15

7-15=-8

i have to add charcters so i can post

Answer:

[tex]the \: \: product \: \: of \: \: 5 \: and \: 3 = 5 \times 3 = 15 \\ less \: than \: 7 \\ \\ it \: \: meam \: 7 - 15 = - 8[/tex]

I ᴛʜɪɴᴋ - 8 ᴛʜɪs ɪs ᴛʜᴇ ʀɪɢʜᴛ ᴀɴsᴡᴇʀ...

Just confusing..

How will the solution of the system y>2x+2/3 and y<2x1/3 change if the inequality sign on both inequalities is reversed

Answers

Answer:

We have the inequalities:

y > 2*x + 2/3

y < 2*x + 1/3

First, we need to understand how to see the solutions of each one of these.

y > 2*x + 2/3

The solution set of this inequality will be ALL the points above the line:

y = 2*x + 2/3

And the solution of the inequality:

y < 2*x + 1/3

Will be the set of all the points below the line:

y = 2*x + 1/3

Notice that line "y = 2*x + 2/3" is above than the line "y = 2*x + 1/3"

Then the system:

y > 2*x + 2/3

y < 2*x + 1/3

Has no solutions.

If we reverse both inequalities, we will get:

y < 2*x + 2/3

y > 2*x + 1/3

Now the solution of the first inequality will be all of the region below the line, and the solution for the second will be all the region above the line.

In this case, the solution of the system will be all the region between both lines, as we can see on the graph below. Where the solution of the system is the doubled shaded area.

What are the two solutions of 2x2 = –x2 – 5x – 1?

Answers

Answer:

Step-by-step explanation:

quadratic formula

x = -(-5)+

Round the following numbers to the nearest 10
a) 83
b) 127
c) 245

Answers

Answer:

a)80

b)250

c)130

Step-by-step explanation:

Answer:

a)

Step-by-step explanation:

83 = 3 is less than 5

so,83-3=80

b) l27 = 7 is more than 5

so 127 + 3 =30

c) 245 = 5 is equal to 5

so 245+5=250

A rancher needs to build a water storage tank for her cattle. The cattle drink 3 cubic meters of water each day and the rancher wants the new tank to hold a 5-day supply of water. If the new tank has a radius of 2 meters, how tall will the tank need to be?

Answers

Answer:

The height of the storage tank would be approximately 1.2 m.

Step-by-step explanation:

The cattle drink 3 cubic meters of water each day.

For 5 days,

the cattle would drink = 3 cubic meters x 5

                                      = 15 cubic meters of water

Thus,

The volume of the storage tank = 15 cubic meters

But,

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where r is the radius and h the height.

So that,

15 = [tex]\frac{22}{7}[/tex] x [tex]2^{2}[/tex] x h

15 = [tex]\frac{22}{7}[/tex] x 4 x h

15 = 12.57h

h = [tex]\frac{15}{12.57}[/tex]

  = 1.1933

h = 1.2 m

The height of the storage tank would be approximately 1.2 m.

Function or not a function?

Answers

ExplanationHow to see if a shown graph is function or not?

If we want to check that a graph is function or not, we have a way to check by doing these steps.

Draw a vertical line, make sure that a line has to pass through or intercept a graph. See if a line intercepts a graph more than once.

If a line intercepts a graph only one point, a graph is indeed a function. Otherwise, not a function but a relation instead. That includes if a line intercepts more than a point which doesn't make a graph a function.

From the graph, if we follow these steps, we will see that a line will only pass or intercept the graph only one point. Hence, the graph is indeed a function. The following graph that is shown is called "Parabola" for a < 0.

Answer

The graph is a function.

If a =
-5i and b = -4x, then find the value of a+b in fully simplified form.

Answers

-5-4x or if the “i” is a variable instead of a typo then it would be -5i-4x

If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that,a =-5i and b = -4x

We have to find the value of a+b in a fully simplified form.

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

=a+b

= -5i-4x

Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

Learn more about the complex number here:

brainly.com/question/10251853

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A color printer prints 16 pages in 7 minutes.
How many pages does it print per minute?

Answers

The printer can print 2.28 pages a minute. So 2
16 pages = 7 min
1 page = 7÷ 16 = 0.4375 ≈ 0.44 mins
I hope this helps .

a bicyclist traveled 62 miles in 2 hours.the biker tracked at a constant speed and did not stop for a break.if the biker continues to travel at this rate,which equation can be used to determine y,the total number of miles the biker will travel,in x hours

A.y=62x
B.y=x+62
C.y=31x
D.y=x+31

Answers

Answer:

Step-by-step explanation:

if the bicyclist travels 62 miles in 2 h, he travels 62/2=31 miles per hour

y=nr miles

y=31x

choice C

Answer:

C

Step-by-step explanation:

Divide 62 by 2 to get the unit rate (31 miles per hour)

62/2= 31

X is used to show the number of hours. We are trying to determine the number of miles the biker will travel in x hours. So we would need to multiply 31 and "X" or we could write it as "31x"

Hope this helps!

у= -3х + 3
у = 3х – 3
у= 3х - 1/3
у = -1/3х + 3

Answers

Answer:

the answer is D

Step-by-step explanation:

Do rise over run and y intercept is 3

Pleaseee help answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

540

Step-by-step explanation:

(n-2)×180

(5-2)×180

3×180

540

Graph
How to put -31/2 , 21/2 on a graph

Answers

3/1 and put on graph

f(-4); f(x) = x2 + x - 4

Answers

Answer: 8

Step-by-step explanation: In this problem,

we're asked to find f(-4) or the value of the function when x = -4.

To find the value of the function when x = -4,we simply plug in a -4 for

the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.

So f(-4) = 8.

On Tuesday, the price of oranges at a grocery store was $1.20 per pound. Today, the oranges at the same grocery store are on sale at a 15% discount. What is the total price of 5 and 1/2 pounds of oranges this week at the grocery store?
A. $6.00
B. $2.50
C. $5.61
D. $1.02​

Answers

Answer:

$5.61

Step-by-step explanation:

So, first of all, 15% off of 1.20 is 1.02. Then, multiply that by 5 1/2 to get $5.61.

Does the point (2, 5) satisfy the equation y = 5x − 5?

Answers

Answer:

yes

Step-by-step explanation:

so x=2 and y=5

5 = 5 x 2 - 5

0=0

equation is right

2. The graph of a certain geometric sequence can be described as a curve increasing from left to right. Which sequence would have a similar graph?
O {1, 4, 16, 64, 256)
0 (-1,2,-4, 8, -16)
0 (4096, 1024, 256, 64, 16)
O (10, 13, 16, 19, 22)

Answers

Answer:

0 (-1,2,-4, 8, -16) that should help you

Step-by-step explanation:

The sequence 1, 4, 16, 64, 256 shows the similar graph increasing from left to right. Option a is correct.

Sequence which have similar graph as certain geometric sequence increasing from left to right.

What is geometric progression?

It is type of sequence and series that has common and equal ratio between preceding values in series.

Here,
The only geometric sequence seems from observation having increasing from left to right, that implies the curve is also increasing from left to right is 1, 4, 16, 64, 256, having common ratio of 4 with preceding values.

Thus, the sequence 1, 4, 16, 64, 256 shows the similar graph increasing from left to right.

Learn more about geometric progression here:
https://brainly.com/question/4853032

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1. How much taller is the volleyball team
than the gymnastics
team?
o Gymnastics team's heights (in inches): 56, 59, 60, 62, 62,
63, 63, 63, 64, 64, 68, 69
o Volleyball team's heights (in inches): 72, 75, 76, 76, 78, 79,
79, 80, 80, 81, 81, 81/
I
I

Answers

Answer:

I think of having 81inches

I really need help on this problem its on khan academy 27÷(−9)=?

Answers

Answer: -3

Step-by-step explanation:

[tex]\frac{27}{-9} = -3 \\[/tex]

We can check our work my multiplying -3 by -9 and see that it equals 27

[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]

According to the order of operations, what operation should be performed first in the expression 8 minus 2 times 2 divided by left parenthesis 8 plus 5 right parenthesis? 8-2x2÷(8+5)

A. Multiplication

B. Addition

C. subtraction

Answers

Answer:

addition

Step-by-step explanation:

in this case its addition , but the only reson it is going first is bc it sin the parenthasies

PEMDAS

First step is parentheses so 8+5 is first.

the refrigerators at Hal's discount appliances are 30% off the original price during the 12th anniversary spectacular.MR Hanson is shopping for a new refrigerator and has a coupon for a 12% discount off the sale price.if the original price of a refrigerator is 1249 how much will MR.Hanson pay for the refrigerator before tax

Answers

Answer:

$769.38

Step-by-step explanation:

First, find the cost with the 30% off original price:

1249(0.7)

= 874.3

Now, find the cost with the 12% discount off sale price:

874.3(0.88)

= 769.38

So, Mr Hanson would pay $769.38 before tax

Answer:

$769.38

Step-by-step explanation:

Original price: $1249

100% - 30% = 70%

A 30% discount means that you pay 70% of the amount.

Apply a 30% discount: 0.70 * $1249 = $874.30

100% - 12% = 88%

A 12% discount means that you pay 88% of the amount.

Apply a 12% discount: 0.88 * $874.30 = $769.384

Answer: $769.38

1/2+ 4x = 5 Make sure you show all steps Draw or add images here +​

Answers

Answer:

x= 1.125

Step-by-step explanation:

0.5 + 4x = 5

4x = 5 - 0.5

4x = 4.5

x = 4.5/4

x= 1.125

Answer:

x=1.125

Step-by-step explanation:

1/2+4x=5

5-1/2=4.5

4.5/5=1.125

One of Madison's hobbies is to locate hidden geocaches. To find yesterday's cache, Madison was instructed to start at a water fountain at a local park. Then, the directions had her walk 15 yards due west and 8 yards due south. If this was the location of the cache, how far was it from the water fountain where she started?

Answers

Answer:

24 yard of the water fountain

In a cookie jar,
1/4
of the cookies are chocolate chip and
1/3
of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

Answer:

2/4

Step-by-step explanation:

i..dk i think it is 2/4

The radius of the circle on a basketball court is 6 feet. What are the approximate circumference and area of the circle?

Answers

circumference formula - 2pi(r)
area formula - pi(r)^2
in both of the formulas r is the radius so

to find circumstance: 2(pi)(6) = 25.68 feet

to find area: pi(6)^2 = 113.04 feet

Jaya has 26 hockey cards. Jaya has 1 fewer than 3 times the number her brother, Kumar, has. How many cards does Kumar have?

Let x represent the number of cards Kumar has. Then, an equation is 3x - 1 = 26.

Solve the equation. Answer the equation.

Answers

Answer:

the correct answer to the problem is 9

Answer:

9

Step-by-step explanation:

3x - 1 = 26

3x = 27

x = 9

please help with all work/explanation in answer i will mark brainliest

Answers

Answer:

see explanation

Step-by-step explanation:

(10)

let x represent blueberry pie and y blackberry pie, then

x + 2y = 53 → (1)

10x + 3y = 224 → (2)

Multiplying (1) by - 10 and adding to (2) will eliminate x

- 10x - 20y = - 530 → (3)

Add (2) and (3) term by term to eliminate x

0 - 17y = - 306

- 17y = - 306 ( divide both sides by - 17 )

y = 18

Substitute y = 18 into either of the 2 equations and solve for x

Substituting into (1)

x + 2(18) = 53

x + 36 = 53 ( subtract 36 from both sides )

x = 17

Then

the cost of 1 blueberry pie is $17 and 1 blackberry pie is $18

----------------------------------------------------------------------------------------

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

(11)

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (0, 3)

m = [tex]\frac{3-2}{0-4}[/tex] = - [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, 3 ) ⇒ b = 3

y = - [tex]\frac{1}{4}[/tex] x + 3 ← equation of line

(12)

(x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (4, 2)

m = [tex]\frac{2-1}{4+3}[/tex] = [tex]\frac{1}{7}[/tex] , then

y = [tex]\frac{1}{7}[/tex] x + b ← is the partial equation

To find b substitute either of the 2 points into the partial equation

Using (3, 1 ), then

1 = [tex]\frac{3}{7}[/tex] + b ⇒ b = 1 - [tex]\frac{3}{7}[/tex] = [tex]\frac{4}{7}[/tex]

y = [tex]\frac{1}{7}[/tex] x + [tex]\frac{4}{7}[/tex] ← equation of line

Which of the following is a counterexample to the following conjecture? If x2 = 4, then
X = 2

Answers

Answer: X=-2

Step-by-step explanation:

Convert y = 5x2 + 20x + 11 to VERTEX form.

Answers

Answer:

y =5(x+2)2−6 is the correct ans

The vertex form of quadratic equation is expressed as:

y = a (x - h) + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x+ 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x + 4x +4)

We simplify the right-hand side as:

y =5(x+2)2−6

(hope that helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The vertex form is one of the most commonly used forms for quadratic functions, as it emphasizes the dimensions of the substring graph's vertex.

Vertex form:

A vertex form of a solution is a unique way of spelling out such a parabola's equation. Usually, a quadratic equation is expressed as an x² + bx + c, which is a parabola if plotted on a graph.

[tex]\to y= 5x^2+20x+11\\\\[/tex]

Solving the equation:

[tex]\to y= 5(x+2)^2-9\\\\\to y= 5 (x^2+2^2+ 2\times 2 x)-9\\\\\to y= 5 (x^2+4+ 4x)-9\\\\\to y= 5x^2+ 20+ 20x-9\\\\\to y= 5x^2+ 20x +11\\\\[/tex]

So, the value is "5(x+2)²-9".

Find out more about the vertex form here:

brainly.com/question/13921516

David wishes to build a circular fish pond. The diameter of the pond is to be 3m.
a. How many lineal meters of bricks are needed to surround it? Round your answer to two decimal places.
b. What is the coast if the bricks are $45 per meters? ( Use your answer from part a.)

Answers

Answer:

9.42m , $423.9

Step-by-step explanation:

C = 2πR

so, 2*3.14*1.5

=9.42478m

9.42*$45

= $423.9

Answer the attached question. 10 points are yours

Answers

What question? What even is this?
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