Answer:
heya! ^^
[tex]2x {}^{3} = x {}^{2} + 6x \\ \\ 2x {}^{3} = x(x + 6) \\ \\ dividing \: both \: sides \: by \: x \\ \\ \frac{2\cancel{x} {}^{3} }{\cancel{x}} = \frac{\cancel{x}(x + 6)}{\cancel{x}} \\ \\ 2x {}^{2} = x + 6 \\ \\ 2x {}^{2} - x - 6 = 0 \\ \\ by \: splitting \: the \: middle \: term \: ( - x) \\ \\ 2x {}^{2} - 4x + 3x - 6 = 0 \\ \\ 2x(x - 2) + 3(x - 2) = 0 \\ \\ 2x + 3 = 0 \: \: \: or \: \: \: (x - 2) = 0 \\ \\ x = \frac{ - 3}{2} \: \: \: \: or \: \: \: \: x = 2[/tex]
hope helpful :D
solve for x ~
[tex]{x {}^{2} - 4x = 0}[/tex]
★ list all the possible values ~
thankyou ~
Answer:
x = 0,4
Step-by-step explanation:
Given
x² - 4x = 0Simplifying
Take x to be a common factor so we'll have 2 factors⇒ x(x - 4) = 0⇒ x = 0 and x = 4⇒ x = 0,4Answer:
All values of x are 0 and 4 .Step-by-step explanation:
In this question we have given an equation that is x² - 4x = 0 and we have asked to find all the possible values of x . So finding our answer ,
[tex] \longmapsto \: x {}^{2} - 4x = 0[/tex]
Step 1 : We are taking x common :
[tex] \longmapsto \: x(x - 4) = 0[/tex]
Step 2 : That means :
[tex] \longmapsto \:x = 0 \: and \: (x - 4) = 0[/tex]
Step 3 : Finding value of x for x - 4 :
[tex] \longmapsto \:x = 4[/tex]
[tex] \pink{ \boxed{ \sf{Therefore , \: value \: of \: x \: are \: 0 \: and \: 4 }}}[/tex]
#Keep LearningThe graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.
On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Which graph represents g(x)?
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).
it goes through the point (2, 10), has a vertex at (5, 1) and goes through the point (8, 10)
A random sample of banana tree yields has a sample mean of x=67 banana and sample standard deviation of s= 2 bananas. Use the empirical rule to estimate the percentage of banana yields that are less than 61 bananas. Round your answer to the nearest hundredth.
Using empirical rule, 99.85% of the data falls above 61
Data;
Mean = 67standard deviation = 3Empirical RuleUsing empirical rule, it states that 68% of data is within 1 standard deviation from the mean mean± standard deviation 95% of data falls within 2 standard deviations from the mean mean± 2* standard deviation and 99.7% of data falls within 3 standard deviations from the mean mean± 3sd . So we can say that 0.15% of data are below mean minus 3 * standard deviation and 0.15% of data are above mean+3sd. In this case, the mean is 67 , SD = 3.
And if 61 is 3×SD below mean
[tex]Pr(X > 61)=1-Pr(X\leq 61) = 1 - 0.0015 = 0.9985\\1-0.0015=0.9985[/tex]
99.85% of data is above 61
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Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. K(7, 0), L(3, 4), M(2, -1)
Answer:
triangle KLM is isosceles
Step-by-step explanation:
[tex]kl = \sqrt{(3 - 7) ^{2} + ({4 - 0) ^{2} } } = 4 \sqrt{2} \\ lm = \sqrt{(2 - 3 ) ^{2} + ( - 1 - 4) ^{2} } = \sqrt{26} \\ lk = \sqrt{(2 - 7) ^{2} + ( - 1 - 0) ^{2} = \sqrt{26} } [/tex]
therefore it is isosceles.
Mark stands at the intersection in observes if cars go left right or straight. After watching for a while, he recorded that 10 cars went straight for cars went left and six cars went right. Estimate the probability that the next car goes left then place the probability on the scale below. help me pls. I have way more packets and I need them done by tmr
Answer:
0.2
Step-by-step explanation:
Total number of cars: 10 + 4 + 6 = 20
Number of cars that turned left: 4
p(left) = 4/20 = 0.2
To place 0.2 on the scale, divide the segment from 0 to 1/2 into 5 equal parts, and place 0.2 on rthe second from the left.
Which persons dues are cheaper per month? explain. (please help)
Answer:
Claire
Step-by-step explanation:
A 100g apple is placed on a table. What is the force in newtons of the apple on the table?
Answer:
1N
Step-by-step explanation:
Assuming acceleration of gravity=10m/s²
Force=100/1000kg×10m/s²=1N
kinda confusing problem given by my teacher:
What is the total discount percent as compared to the original price, if trousers are discounted by 12% and then a further 20% discount is given and new price is $281.6. (answer like this xx.x)
Answer:
Below
Step-by-step explanation:
281.6x20%= 56.32
281.6+56.31=337.91
337.91x12%=40.55
337.91+40.55=378.46
During which time period was the ANNUAL rate of increase of the speed the GREATEST?
A) from year 1 to year 2
B) from year 1 to year 3
C) from year 1 to year 4
D) from year 1 to year 5
Answer:
A) year 1 to year 2
Step-by-step explanation:
The increases in speed are found by subtracting the speed from the year before.
1 to 2: 46 -38 = 8
2 to 3: 52 -46 = 6
3 to 4: 57 -52 = 5
4 to 5: 61 -57 = 4
The greatest increase was from year 1 to year 2.
Round your answer to the nearest hundredth. Please help!!
[tex]\tan \angle B = \dfrac{AC}{BC} \\\\\implies \angle B = \tan^{-1} \left(\dfrac{AC}{BC} \right) = \tan^{-1}\left(\dfrac 56 \right)=39.81^{\circ}[/tex]
WILL GIVE BRAINLIEST!!!!
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils. Without looking, Carlos pulls out 22 pencils. If the pencils were distributed randomly in the bin, how many pencils of each color is it most likely that he picked?
A. 8 red, 7 green, 7 blue
B. 10 red, 7 green, 5 blue
C. 10 red, 8 green, 4 blue
D. 11 red, 6 green, 5 blue
E. 12 red, 6 green, 4 blue
Answer:
E. 12 red, 6 green, 4 blue
Step-by-step explanation:
To find the number of colored pencils for each color, we must find ratios.
480 red: 240 green: 160 blue
Then we divide them to the simplest ratios.
We divide all the numbers by 80.
6 red: 3 green: 2 blue
There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.
12 red: 6 green: 4 blue
The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.
Without looking, Carlos pulls out 22 pencils.
The pencils were distributed randomly in the bin.
To find the numbers of pencils of each color:
First, we will find the ratio.
Red : Green : Blue
= 480 : 240 : 160
We will factor out the common factor,
= 12: 6: 4
Therefore, 12 red, 6 green, 4 blue are the pencils of each color.
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Steve drew two circles, one with a radius of 10.0 cm and another
with a diameter of 10.0 cm. Which circle is which
Answer:
Circle 1 = diameter of 10 cm
Circle 2 = radius of 10 cm
Step-by-step explanation:
The radius is half the diameter.
If both the radius and the diameter are the same length, then the circle with the radius of 10 is larger because 10 times 2 is a 20 cm diameter.
The larger circle is circle #2. If we use the logic from above, the larger circle, #2, has a radius of 10 cm. This leaves us with circle #1 having a diameter of 10 cm.
Circle 1 has a diameter of 10
Circle 2 has a radius of 10
Step-by-step explanation:Diameter and Radius
The diameter is the distance from one point on a circle to the opposite side. Radius is the distance from the center of a circle to a point on the circle. This means that the diameter is twice the size of the radius.
Finding Diameter
One way to find out which circle is which is to find the diameter of both. We know that one of the circles had a diameter of 10. The circle that has a radius of 10 must have a diameter of 20 because 10*2=20. Since the circle with a radius of 10 has a diameter of 20, it must be the larger circle, Circle 2.
Reading the Graph
Additionally, you can read the figure given to you. The radius is from the center of a circle to the outside. The line drawn is 10 meters and goes from the center of circle 2 to the outside of circle 2. Thus, this circle must have a radius of 10.
Please Help i need a professional no scam answers that have been happening i need to get allot done bye friday
Answer:
39%
Step-by-step explanation:
21/125=.168
33/125=.264
.432-.044352=.387648*100=39%
An employee wants to invest $50,000 in a pension plan. One investment offers 4% compounded quarterly. Another offers 3.75% compounded continuously.
(a) Which investment will earn more interest in 4 yr?
(b) How much more will the better plan earn?
Using compound interest and continuous compouding, it is found that:
a) The investment at 4% compounded quarterly will earn more interest in 4 years.
b) The better plan will earn $537 more.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.In this problem, the parameters are: P = 50000, r = 0.04, n = 4, t = 4, hence the amount will be of:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(4) = 50000\left(1 + \frac{0.04}{4}\right)^{4 \times 4}[/tex]
A(4) = $58,629.
What is the continuous compounding formula?It is given by:
[tex]A(t) = Pe^{rt}[/tex]
In this problem, this option has r = 0.0375, hence:
[tex]A(4) = 50000e^{0.0375 \times 4} = 58092[/tex]
Then:
Item a:
The investment at 4% compounded quarterly will earn more interest in 4 years.
Item b:
58629 - 58092 = $537.
The better plan will earn $537 more.
More can be learned about compound interest at https://brainly.com/question/25781328
A 10-page play is $0.70 per page to e
dit. How much will I have to pay you to net this amount on Up Work? Please include the UpWork fee in your calculation. (Also, please use digits only, plus decimal and S-sign where necessary. No need for words.)
Answer:
The answer of this question is 7
Step-by-step explanation:
because 1 page=$0.70 and now calculate
10×1×0.70=7
To edit 10-page play you have to pay $7.
What is unitary method?"It is the method of finding the value of a single unit, and based on that value we can find the required value."
For given question,
A play is of 10 pages.
It charges $0.70 per page to edit.
So, to edit 10-page play the cost would be,
10 × $0.70 = $7.0
Therefore, to edit 10-page play you have to pay $7.
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What is the slope of the line that contains these points?
x
39 40 41
42
y
36
29 22 15
Answer:
-7
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
__
Using the first two points from your list, we find the slope to be ...
m = (29 -36)/(40-39) = -7/1 = -7
The slope of the line is -7.
A triangle has sides with lengths of 6 yards, 10 yards, and 12 yards. Is it a right triangle?
yes
no
Submit
Graphs of the following equations are straight lines EXCEPT
A 3x + 2y = 8
B
y = x/2 - 5
С
X = 4y
Dy=x2 + 3
As per linear equation, option-A and option-B are the equations of straight line.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given equations are:
A. [tex]3x + 2y = 8[/tex]
It is an equation of a straight line as it matches the standard form of a linear equation.
B. [tex]y = \frac{x}{2} - 5[/tex]
This is also an equation of a straight line as it matches the standard form of a linear equation.
C. [tex]y = x^{2} + 3[/tex]
It is not an equation of a straight line as it does not match the standard form of a linear equation.
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What is three multiples of 6
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Step-by-step explanation:
If the converse of a conditional statement is false, then what other statement must be false?
Answer:
The statement is false
1. What is the cross section formed by cutting a cylinder perpendicular to its base?
2. What is the cross section formed by cutting a cone parallel to its base?
3. What is Cavalier's Principle? Can you think of an example applying it to everyday life?
…………….
Answer:
1
Depends on the cross section axis
place a cylinder can on a table , circular and side down .Look down at it and you see the other end so the cross section is circle
Turn it on its side and the cross section is rectangle
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the last net, it's the only one with a rectangle and 4 triangels
Answer:
D
Step-by-step explanation:
Again all it takes is for you to image wat the shape would fold into.
Hope this helps!
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Have a great day!
Happy to help! :)
two sides of a parallelogram are 5.8m and 8.2m long. Find the perimeter
Answer:
5.8+5.8+8.2+8.2=28m
Step-by-step explanation:
If you want to find the PERIMETER you just need to add up the length of all of the sides. No multiplication needed. Just add the numbers. Don’t forget that there are multiple sides so even though only two are labeled dont forget to add every single side that the shape has.
Freda bought 700 grams of almonds and 500 grams of cashews. How many kilograms of nuts did Freda buy in all?
Answer:
1.2kl
Step-by-step explanation:
1000grams=1kilogram
700+500=1200
so 1.2kilograms
Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is____
A.40
B.30
C.20
D.10
Solve the following equation
X = 2x+8/x
Answer:
2i*sqrt(2), -2i*sqrt(2).
Step-by-step explanation:
x=2x+8/x
x-2x=8/x
-x=8/x
8=-x(x)
8=-x^2
8-(-x^2)=0
8+x^2=0
x^2+8=0
x=2i*sqrt(2), -2i*sqrt(2).
Step-by-step explanation:
[tex]x = \frac{2x + 8}{x} [/tex]
[tex] {x}^{2} = 2x + 8[/tex]
[tex] {x}^{2} - 2x - 8 = 0[/tex]
[tex](x - 4)(x + 2) = 0[/tex]
[tex]x = 4[/tex]
or
[tex]x = - 2[/tex]
Quadrilateral ABCD is cyclic. Identify what the missing angle measures must be.
Check the picture below.
find the value of 6y - 1 given that 17y - 8 = 9
Answer:
5
Step-by-step explanation:
if 17y-8=9, then you could say that 17y=17, by adding 8 to both sides.
So, y=1
Then, plug that value into the new equation 6y-1.
You recieve 6(1)-1
Therefore, the value of the new equation is 5
a) Patty Stacey deposits $2600 at the end of each of 5 years in an IRA. If she leaves the money that has accumulated in the IRA account for 25 additional years, how much is in her account at the end of the 30-year period? Assume an interest rate of 10%, compounded annually. (Round your answer to the nearest cent.)
$
(b) Suppose that Patty's husband delays starting an IRA for the first 10 years he works but then makes $2600 deposits at the end of each of the next 15 years. If the interest rate is 10%, compounded annually, and if he leaves the money in his account for 5 additional years, how much will be in his account at the end of the 30-year period? (Round your answer to the nearest cent.)
$
(c) Does Patty or her husband have more IRA money?
Answer:
From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.
Step-by-step explanation:
:)
Is this adjacent, vertical, linear, or complimentary?
Adjacent angles share a common side. Think of two neighboring adjacent apartments that share a common wall.