Answer:
See Explanation
Step-by-step explanation:
Given
[tex]3x^2 = 6x[/tex]
Required
Why dividing by [tex]3x[/tex] is not reliable
The reason is that, the given expression is a quadratic equation and as such, it will most likely have two solutions.
So, when the expression is divided by [tex]3x[/tex], the solution will be [tex]x = 2[/tex], leaving out the other possible solution.
The right way is:
[tex]3x^2 = 6x[/tex]
Subtract 6x from both sides
[tex]3x^2 - 6x = 6x - 6x[/tex]
[tex]3x^2 - 6x = 0[/tex]
Factorize
[tex]3x(x - 2) = 0[/tex]
Split
[tex]3x = 0\ or\ x - 2 = 0[/tex]
Solve for x in both cases:
[tex]x = 0\ or\ x = 2[/tex]
solve simultaneously
2 log y=log 2 + log x
2 to power y = 4 to power x
Answer:
Step-by-step explanation:
hello : here is an solution
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.
she will need two more hours to buy the dress
Angles in circle solve for each variable
Answer:
Step-by-step explanation:
In 1987, a survey of 1000 young people found that 540 said they smoked cigarettes, whilst
460 said they did not. In 2017, a similar survey of another 1000 young people found that
125 said they smoked cigarettes, whilst 875 said they did not.
Calculate the ratio of smokers to non-smokers in 2017. Give your answer in simplest form:
Show your workings.
[2 marks]
Answer:
1:7
Step-by-step explanation:
125:875
Then simply
The GCF between the two is 125:
125/125 = 1
875/125 = 7
So, the answer is 1:7!
............................
Answer:
Thaey are proportional
Step-by-step explanation:
Lena made a scale drawing of an arcade. She used the scale 1 inch : 4 feet. If an air hockey table is 2 inches long in the drawing, how long is the actual air hockey table?
Answer:
it's 8ft
Step-by-step explanation:
1=4 2=8just put 2and2 together
Find the angle relationship in the table
Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear
Step-by-step explanation:
plz give some one answrer
Answer:
x=120 (opp. angles of //gram)
Step-by-step explanation:
Because DA//CB and AB//DC (given)
Therefore ABCD is a parallelogram (opp. sides equal)
Therefore,
∠DAB = ∠DCB (opp. ∠s of //gram)
x = 120
What is the area of the base?
Answer:
24 in²
Step-by-step explanation:
Hello there!
the figure shown is a triangular prism
The base is the triangle
So we need to find the area of the triangle using this formula
[tex]A=\frac{bh}{2}[/tex]
where b = base and h = height
The base (triangle) has a base length of 8 inches and a height of 6 inches
Having found the information we needed, we plug it into the formula
So
[tex]A=\frac{6*8}{2} \\6*8=48\\\frac{48}{2} =24\\A=24in^2[/tex]
So the area of the base is 24 in²
can someone please help me.
Answer:
y=70° x=11
Step-by-step explanation:
.............ur welcome...........
A recent survey of 800 seventh graders from across the state shows 4 out there of 10 like to play paper football. How many students said they like to play paper football?
Answer:
320
Step-by-step explanation:
800 = 10
x = 4
800 x 4 = 10 x
3200= 10x
x = 320
I need an answer ASAP!!
Answer:
x = 8
Step-by-step explanation:
because wy bisects XZ , XY and ZY are equal so ..
2x+3=3x-5
then x is 8❤
A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in meters, of the rectangle?
Your answer:
16 meters
32 meters
48 meters
Answer:
24 800cm.
Step-by-step explanation:
Length in metres =12×100=12000cm
Perimeter. =2[l+b]
Perimeter. =2[12000+400]
Perimeter. =2×12400
Perimeter. =24 800cm
Perimeter. =24 800cm÷100
Perimeter. =24.8m
PLEASE GIVE BRAINLIEST
Mr. Davies plans to place an aquarium on a shelf in his living room. The length of the shelf is inches, and the aquarium is inches long. Which estimation is best for centering the aquarium on the shelf?
The question is incomplete as the length of the shelf and aquarium isn't given. However, steps to take in other to make the estimation of centering the aquarium on the shelf would be described.
Answer:
Kindly check explanation
Step-by-step explanation:
Let :
Lenght of shelf = x
Length of aquarium = y
Usually, the length of shelf will be > length of aquarium
The shelf will have the right and left hand side ;
Subtract Length of aquarium from length of shelf and divide the difference by 2 ;
(x - y) / 2 ; this will give the space or length left on either side of the shelf with the aquarium centered in the middle.
Hence, the aquarium should be placed at (x - y) / 2 meters either to the right or left of the shelf.
Just input the omitted values of shelf length and aquarium length to obtain the solution.
7/15 multiplied by 5/6
Answer:
The answer will be 35/36
Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
I need help pls I don’t understand it
help me please??????
Answer:
I'm pretty sure it's D
if not then maybe B
Milo is volunteering at a food pantry. In the first hour, he packs 3 boxes every
5 minutes. In the second hour, he packs 5 boxes every 6 minutes. What is the
difference of his packing rates during each hour of his volunteer shift, in boxes
per hour?
An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are white? Round your answer to three decimal places.
Answer:
The probability is 0.022
Step-by-step explanation:
Firstly, we need to get the total number of balls in the urn
mathematically, we have this as ;
8 + 9 = 17
now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls
Mathematically, we have this as 9/17
Now, since the event is carried out with replacement, the probability for the six times is the same
So, we have the probability as;
(9/17)^6 = 0.022
A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelters collectively house 1,485 dogs each year. About how many dogs in all of the city's animal shelters are puppies?
Answer: The number of dogs in all of the city's animal shelters is puppies = 270
Step-by-step explanation:
Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.
The city's animal shelters collectively house 1,485 dogs each year.
The number of dogs in all of the city's animal shelters is puppies = [tex]1485\times\dfrac{10}{55}=270[/tex]
Hence, The number of dogs in all of the city's animal shelters is puppies = 270
Practice identifying reflectional and rotati Which letters have 2 or more lines of symmetry? Check all that apply. here's the better one
Answer:
O, H, X
Step-by-step explanation:
i did this on edg hope this helps
Answer:
O H X
Step-by-step explanation:
The first five terms in a pattern are shown below. -0.5, -0.25, 0 , 0.25, 0.5, . . . Which equation represents the pattern?
Answer:
x + 0.25
Step-by-step explanation:
In this equation, x is representing an integer ( - 0.5, - 0.75, 0, 0.25) whilst 0.25 is a constant
PLEASE HELP !!!!!!!!
What is the arc measure of arc PQO? Type the answer as a number only.
Answer: !50 is the answer hope this helped
Step-by-step explanation:
please can someone help me it’s urgent i need it done by 8:00‼️
Answer: need to clam and not worry to much and study a lot to be come great and great at math
Step-by-step explanation: i try and i give it all i can and not give up
Find the perimeter of the figure.
Answer:
97
Step-by-step explanation:
The perimeter is adding each side together, the equation is 3+33+15+33+3+10
Which statement about the graphs is true? NEED HELP!
Graph A is a valid density curve because the part of the graph from 2 to 6 is below the horizontal axis.
Graph A is not a valid density curve because the part of the graph from 1 to 2 is above the horizontal axis.
Graph B is not a valid density curve because part of the horizontal axis has negative values.
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Answer:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Step-by-step explanation:
A density curve is a graph that shows probability.
There are a few properties that those curves have:
The curves are normalized, which means that the area inside the curve is always equal to 1 (or the 100% of possibilities).
And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.
From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).
Now let's look at graph B.
We can see that all points are above the horizontal axis, so that is good.
Now let's compute the area inside the curve.
We can see two triangles, remember that the area of a triangle of base b and height h is:
A = (b*h)/2
To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.
The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25
Then the area is:
A1 = (2*0.25)/2 = 0.25
The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25
Then the area of this triangle is:
A2 = (6*0.25)/2 = 0.75
If add these areas, we get:
Total area = A1 + A2 = 0.25 + 0.75 = 1
Total area = 1
So we have an area under the curve equal to 1, which means that graph B is a valid density curve.
And the correct option is then:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
2\0.1 x 10\10 = it would help me a lot
Answer:
The answer is1 thank you
What is the geometric mean of 6 and 8?
Answer:
16 square root 6
Step-by-step explanation:
The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]
What is geometric mean?The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:
[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]
The two given numbers are 6 and 8
That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]
Substitute [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]
[tex]GM=\sqrt{6 \times 8}[/tex]
Simplifying further:
[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]
Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]
Learn more on geometric mean here: https://brainly.com/question/1311687
Please answer this quick
I'm sorry but i can't really see the picture
Answer:
1/4
Step-by-step explanation:
what information does the standard form of a linear equation reveal about a line
Answer:
Look Below
Step-by-step explanation:
It reveals what type of slope it has. It reveals whether it is positive or negative. It tells when the line will cross the Y-Axis. This is just the groundwork of it but there is a whole list I think on what one equation can reveal about a line on a graph. Hope This Helps! If you find any fault in my answer please let me know! Have a good day!