What is the solution to the equation below? ​

What Is The Solution To The Equation Below?

Answers

Answer 1

Answer:

The solutions are (2,0) and (3,0)

Step-by-step explanation:

The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.

2x (x - 4) - (x+3)(x - 2)      =    - 4x

=============                   ========

(x -2)(x - 4)                            x^2 - 6x - 8

Multiply both sides by x^2 -6x - 8

2x(x - 4) - (x^2 + x - 6 ) = - 4x       Remove the brackets

2x^2 - 8x - x^2 - x + 6  = - 4x       Combine like terms on the left

2x^2 - x^2 - 8x - x + 6 =  - 4x

x^2 - 9x + 6 = - 4x                        Add 4x from both sides

x^2 - 9x + 4x + 6 = 0

x^2 - 5x + 6 = 0

This factors into

(x - 2) and (x - 3)

x - 2 = 0

x = 2

x - 3  = 0

x = 3

 


Related Questions

which choices are equivalent to the exponential expression below?​

Answers

Answer:

The answer is

B

D

F

Step-by-step explanation:

Squaring a fraction is like squaring a whole number really so you just square the fraction by multiplying it by itself.

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.

Answers

a) The probability of selecting a blue marble is P ( B ) = 1/4

b) The probability of selecting a green marble is P ( G ) = 1/6

c) The probability of selecting not a green marble is P' ( G ) = 5/6

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of blue marbles = 3

Let the number of red marbles = 6

Let the number of green marbles = 2

Let the number of black marbles = 1

So , the total number of marbles = 12

So , the probability is given as

The probability of selecting a blue marble is P ( B ) = 1/4

The probability of selecting a green marble is P ( G ) = 1/6

The probability of selecting not a green marble is P' ( G ) = 5/6

Hence , the probability is solved

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The complete question is attached below :

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.

How can I calculate the maximum height of the ball? h=-16t^2+vt+h v is the initial velocity and I got 4.3cm h is the initial height and I got 14cm Range of the ball is 1.954m and the time in air is 2.1 When I solve the maximum height of the ball, it need to be ft/s.

Answers

Step-by-step explanation:

The path followed by the ball as a function of time is given by :

[tex]h=-16t^2+vt+h[/tex]

Where

v is initial velocity and h is initial height,

v = 4.3 cm/s = 0.043 m/s and h = 14 cm = 0.14 m

The equation becomes,

[tex]h=-16t^2+0.043t+0.14[/tex] ....(1)

It is a quadratic equation,

t = 0.095 s

Put the value of t in equation (1).

[tex]h=-16(0.095)^2+0.043(0.095)+0.14\\\\h=-0.000315\ m[/tex]

or

h = -0.00103 ft (negative sign shows height is in negative direction)

Find the height of triangle

Answers

Answer:

60

Step-by-step explanation:

First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion

60/x = x/60.

Cross multiply

x^2 = 3600

and now find the square root of 3600

60

HELP DUE IN 15 MINS!

Find the area of the bolded sector in the circle below.
Leave your answer in terms of pi. Just type what number should be multiplied to the
pi)

Area sector = ?? π

Answers

Answer:

Area of the sector = 47.52π

Step-by-step explanation:

Area of the sector of the circle;

A = ∅ / 360 * πr²

We know that;

∅ = 120

r = 12

So now we can substitute;

A = (120 / 360) * π(12)²

A = 0.33 * 144π

A = 47.52π

Hope this helps!

Is the point (0,4) a solution to the system
of inequalities below?
y<-3.x +4
y> 5x – 2

Answers

Answer:

No

Step-by-step explanation:

To determine if the point is a solution to either of the inequalities, substitute the variables with the point given. When y<-3.x+4 is substituted with (0,4), the inequality becomes 4<4, which proves that the point is inapplicable to the first inequality. Therefore, you do not need to continue to check its applicability with the second inequality.

100 points
If you tell me to use quizlet or give me a wrong answer or link you will be reported

Answers

[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

height (h) = 4 ftradius. (r) = 0.5 ft

[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]

[tex]3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4[/tex]

[tex] \mathrm{3.14 \: ft {}^{3} }[/tex]

Since volume of each cylinder is equal, so total volume of six cylindrical post :

[tex]3.14 \times 6[/tex]

[tex] { \mathrm{18.84 \: ft {}^{3} }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

18.84 feet with an exponent of 3 hope this helps

Can someone help with this

Answers

Answer:

20

Step-by-step explanation:

A yogurt shop offers five different flavors of frozen yogurt and twenty different
toppings. How many choices are possible for a single serving of frozen yogurt with
one topping?

Answers

I believe that the answer is 84 possible choices

Anyone can help ?

I'm from Indonesian :)​

Answers

Answer:

624

Step-by-step explanation:

[tex] 2(\frac{1}{2} \times 6 \times 8 ) + (24 \times 8) + (24 \times 6) + (10 \times 24)\\ = 624[/tex]

Find the median of the values:
8, 13, 6,-1, 10, 0, -3, 5, 7,1

Answers

Answer:

To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.

It will be:

-3, -1, 0, 1, 5, 6, 7, 8, 10, 13

Now you have to cancel each number out from each end.

You will get the numbers:

5, and 6.

You have to find the average of this so:

5 + 6 = 11

11 ÷ 2 = 5.5

So the answer is 5.5.

Answer:

5.5

Step-by-step explanation:

First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.

For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13

you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.

NEED HELP ASAP PLEASE!!!!A symmetrical canyon is 4850 feet deep. A River runs through the canyon at its deepest point. the angle of depression from each side of the canyon to the river is 60. Round to the nearest tenth. Whats the Distance across the canyon? whats the Length of the canyon wall from the edge to the river? Is it more or less than a mile across the canyon?

Answers

Answer:

what is the formulae for finding a circle

Find the equation of the line through the points (-3,3) and (3,5) using point-slope form. Then rewrite the equation in slope-intercept form.

Answers

Given:

A line passes through the points (-3,3) and (3,5).

To find:

The equation of the line by using point slope form, then rewrite the equation in slope-intercept form.

Solution:

It is given that the line passes through the points (-3,3) and (3,5). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-3}{3-(-3)}[/tex]

[tex]m=\dfrac{2}{6}[/tex]

[tex]m=\dfrac{1}{3}[/tex]

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope.

The point slope form of the given line is:

[tex]y-3=\dfrac{1}{3}(x-(-3))[/tex]

[tex]y-3=\dfrac{1}{3}(x+3)[/tex]

The point slope form of the given line is [tex]y-3=\dfrac{1}{3}(x+3)[/tex].

We need to rewrite this equation in slope intercept form, i.e.,  [tex]y=mx+b[/tex], where m is slope and b is y-intercept.

The above equation can be rewritten as:

[tex]y-3=\dfrac{1}{3}(x)+\dfrac{1}{3}(3)[/tex]

[tex]y-3=\dfrac{1}{3}(x)+1[/tex]

[tex]y=\dfrac{1}{3}(x)+1+3[/tex]

[tex]y=\dfrac{1}{3}(x)+4[/tex]

Therefore, the slope intercept form of the given line is [tex]y=\dfrac{1}{3}(x)+4[/tex].

What does this mean <_ but the line under it

Answers

Answer:

it means less than or equal to :)

Step-by-step explanation:

Solve the equation by using the quadratic formula 15x^2+31x=-10

Answers

here you are this is it !!

Answer:

C.) -2/5, -5/3

Step-by-step explanation:

Edge. :)

Volumes and circles
Determine the amount of space ( volume) he’s allowed for the potted plant in the bottom of the greenhouse who shape is a rectangle or prism. ❤️

Answers

Answer:

A. Volume is 2400 feet^3

B. 1413.7 feet ^3

C. 3814 feet^3

Step-by-step explanation:

given = a rectangular prism having l=8 feet w=12 feet h=25 feet

to find volume

v = l * w * h

v = 8x12x25

v = 2400 feet^3

Amy buys eight apples that each weigh 150 grams. She notices that they are on sale for $3.00 per kilogram, how much will the apples cost? Prove your thinking.

Answers

Answer:

$3.60

Step-by-step explanation:

8 apples × 150 grams

1200 grams

1 kilogram = 1000 grams

x. = 1200 grams

X = 1.2 kg

1kg = $3.00

1.2kg =$3.6

The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Amy buys eight apples that each weigh 150 grams.

And, She notices that they are on sale for $3.00 per kilogram.

Now,

Total weight of the apples is,

⇒ 8 × 150 grams

⇒ 1200 grams

⇒ 1.2 kilograms

Since, She notices that they are on sale for $3.00 per kilogram.

Hence, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.00 × 1.2

⇒ $3.60

Thus, The cost of 8 apples that have weight 1.2 kilograms is,

⇒ $3.60

Learn more about the multiplication visit:

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Ellie want to buy new shoes that is in sale for $80. She saved $60. How much more money does she need

Answers

Answer:

$20

Step-by-step explanation:

New shoes = $80

What Ellie Saved = $60

80 - 60 = 20

To make sure this is correct simply add 20 to 60.

60 + 20 = 80

She need 20$ more to get to 80$

A paperweight in the shape of a hemisphere is shown. It has a volume of 231.6 cubic centimeters.
Enter the radius of the paperweight, in centimeters. Round your answer to the nearest thousandth.

Answers

Answer:

2/3*22/7*r^3=231.6

2/3*22/7=2.0952

2.0952*r^3=231.6

r^3=231.6/2.0952

r^3=

Step-by-step explanation:

2/3*22/7*r^3=231.6

2.0952r^3=231.6

r^3=110.5384

cuberoot 110.5384

=4.7992

Question 8 of 10
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices"?
three
vertices
triangle
triangle
three
vertices
Figure A
Figure B
A. Figure A
B. Figure B

Answers

The answer would be a.figure a
The answer would be Figure A

ummm I’m so bad at math lol

Answers

The correct option is B - Where the given data is plot correctly.

2(x + 10) = -60 solve for x

Answers

Answer:

2x + 20 = -60

-20           -20

2x = -80

Divide by 2 on both sides.

X = -40

Answer:

-40

Step-by-step explanation:

2(x + 10) = -60

step 1 distribute the 2 to the x and 10

2 * x = 2x

2 * 10 = 20

we now have 20 + 2x = -60

step 2 subtract 20 from each side

20 - 20 cancels out

-60 - 20 = -80

we now have 2x = -80

step 3 divide each side by 2

2x / 2 = x

-80 / 2 = -40

we're left with x = -40

Which expression is equivalent to 8r+16

Answers

Answer:

8(r+2)

hope this helps

have a good day :)

Step-by-step explanation:

X^2-x-42=



factor as the product of two binomials

Answers

i’m pretty sure it’s (x-7)(x+6)

to factor you need it to multiply to -42 and add to -1 which gives you -7 and 6

Which of the following is the Perpendicular Bisector Theorem?
A. lf a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
B. Ifa point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.
C. lf a point is proportional from the endpoints ofthe segment then it lies on the perpendicular bisector of that segment
D. f a point is equidistant from the endpoints of the segment, then it lies on the perpendicular bisector of that segment.​

Answers

Answer:

its Ifa point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.

help asap and I give you the brainliest​

Answers

I think it's either A or B probably B is my guess though, it's weirdly worded so I'm not exactly sure what it's asking

PLS HELP URGENT ILL GIVE U BRAINLIST!

lim(x --> 3)(-5x^ 2 -2x+4)

A. -47
B. 47
C. 0
D. 3​

Answers

Hi there!

[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]

Simply substitute x = 3 in the expression.

[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]

Questions can be asked through comment.

Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.

Hope this helps, and Happy Learning! :)

Find (a) the circumference and (b) the area of the circle. Use $3.14$ or $\frac{22}{7}$

for $\pi$ . Round your answer to the nearest whole number, if necessary.
PLEASE HELP ASAP

A circle with a diameter of 70 inches.


(a) circumference: about

in.


(b) area: about

in.²

Answers

Answer:

C = pi d

C = 3.14 × 70

C = 219.8 inches

A = pi r²

A = 3.14 × 1,225

A = 3,846.5

Pretend you got 86% of the questions on a state test correct. The test had 120 problems. How many problems did you get correct?

Please show or explain your work

Answers

Answer:

1 17\43

Step-by-step explanation:

I did the math... i should be right...

Can someone help me find the vertex?

Answers

Answer:

vertex = (2, 264)

Step-by-step explanation:

i just used desmos so um yeah im sorry

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