Answers
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
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
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]
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
To learn more about probability click :
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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.
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
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]
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
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
What does this mean <_ but the line under it
Answers
Answer:
it means less than or equal to :)
Step-by-step explanation:
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.
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.
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! :)
ummm I’m so bad at math lol
Answers
The correct option is B - Where the given data is plot correctly.
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
Which expression is equivalent to 8r+16
Answers
Answer:
8(r+2)
hope this helps
have a good day :)
Step-by-step explanation:
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
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)
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...
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.
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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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
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.
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!
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].
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
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
X^2-x-42=
factor as the product of two binomials
Answers
to factor you need it to multiply to -42 and add to -1 which gives you -7 and 6
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
Solve the equation by using the quadratic formula 15x^2+31x=-10
Answers
Answer:
C.) -2/5, -5/3
Step-by-step explanation:
Edge. :)
Can someone help with this
Answers
Answer:
20
Step-by-step explanation:
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