Answer:
[tex]x = 0[/tex] and [tex]x = -2[/tex]
Step-by-step explanation:
[tex]\frac{x}{2} = \frac{{x}^2}{x-2}[/tex]
Use cross multiplying to solve the equation.
[tex]x(x-2) = 2({x}^2)[/tex]
[tex]{x}^2 - 2x = 2{x}^2[/tex]
[tex]2{x}^2-{x}^2+2x = 0[/tex]
[tex]{x}^2 + 2x = 0[/tex]
Now factor it.
[tex]x(x+2) = 0[/tex]
Now split into two equations:
Equation A:
[tex]x = 0[/tex]
Equation B:
[tex]x + 2 = 0[/tex]
[tex]x = 0 -2[/tex]
[tex]x = -2[/tex]
Therefore, the solutions are x = 0 and x = -2.
Hope this helped! If not, please let me know! <3
One minus the product of four and a number I.
42dx - 7dx = 70f solve for x
need answer 4x+2+3x+3=180
Answer:
Step-by-step explanation:
4x + 2 + 3x + 3 = 180
7x + 5 = 180
7x = 175
x = 25
are the ratio 1:2 and 9:10 equivalent ?
Answer:
Not in the slightest
Step-by-step explanation:
Patrick is plotting points to show a relation that is not a function. Which point could be the next point that Patrick plots on the graph?
where do i put the lines ? also is it a function
okay if I'm doing this right then
-3 goes to 1
-2 goes to 0
1 goes to 2
3 goes to -4
-3 goes to 5
I think you put the x to the y ones
Examine the three graphs shown below.
Graph 1
Graph 2
Graph 3
Which graphs have same domain?
O A Graphs 1, 2 and 3
B. Graphs 2 and 3
OC. Graphs 1 and 2
D. Graphs 1 and 3
NEED THIS PLEASE :)
I think it's a
Step-by-step explanation:
it's been a while since I done this kind of work
summary of scientific notation
Answer:
Scientific Notation is making a huge number smaller, using exponents. A number like 800000 can be shortened with Scientific Notation. Example:
8 × [tex]10^{5}[/tex]
Step-by-step explanation:
if f(x)= x^2 -2 and g(x)=x-3, what is (f o g)(X)?
x^2 +7
x^2 -6x +7
x^2 -3x +7
x^2 -5
Answer:
Step-by-step explanation:
g(x)= x - 3
f(x - 3)= (x - 3)^2 - 2
x^2 - 6x + 9 - 2 = x^2 - 6x + 7
b is the answer
Any number divisible by 3 is divisible by 6.
A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15
Answer:
C.) False, counterexample of 15
1) 15 is divisible by 3 but not by 6
we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3
BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6
2) 12= 3*4 & 6*2
SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'
Answer:
c. False, counterexample of 15
Step-by-step explanation:
This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3
I am selling 900 yearbooks, making a total of $2820. The large yearbook pages cost $4 and the small cost $2.50. Find how many of each I sold. HELPPP PLS
Answer:
number of large year book sold = 380
number of small year book sold =520
Step-by-step explanation:
Let the no. of large year book pages be x
given that
cost of 1 large year book = $4
cost of x large year book = x*cost of 1 large year book = $4x
Let the no. of small year book pages be y
given that
cost of 1 small year book = $2.5
cost of y small year book = y*cost of 1 large year book = $2.5y
also,
total year books sold were 900
no. of small year book + no. of small year book = 900
x + y = 900
y = 900 - x ------------------>1
also total money made by selling large and small year book = $2820
cost of x small year book + cost of x large year book = 2820
4x + 2.5y = 2820
using y = 900 - x in above equation
4x + 2.5(900-x) = 2820
4x + 2250 - 2.5x = 2820
1.5x = 2820-2250 = 570
x = 570/1.5 = 380
Thus,
number of large year book sold = 380
number of small year book sold = 900-380 = 520
Select the correct answer.
Which property of equality was used to solve this equation?
x − 5 = -14
x − 5 + 5 = -14 + 5
x = -9
A. addition property of equality
B. subtraction property of equality
C. multiplication property of equality
D. division property of equality
The addition property of equality was used to solve this equation. option A is correct.
A solution is given we have to determine the solution contains which property of equality.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
x − 5 = -14
x − 5 + 5 = -14 + 5
x = -9
We can see, in step 2 5 is added to both sides of an equality, which implies the property of additions.
Thus, the addition property of equality was used to solve this equation. option A is correct.
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Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)
Answer:
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
Step-by-step explanation:
Two points (1, -1) and (0, 6) are lying on the given line.
Rule to find the coordinates of a point by the rotation of 90° clockwise is,
(x, y) → (y, -x)
Therefore, image points of (1, -1) and (0, 6) will be,
(1, -1) → (-1, -1)
(0, 6) → (6, 0)
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-1, -1) and (6, 0) will be,
m = [tex]\frac{0+1}{6+1}[/tex] = [tex]\frac{1}{7}[/tex]
Equation of the line passing through (6, 0) and slope = [tex]\frac{1}{7}[/tex]
y - y' = m(x - x')
y - 0 = [tex]\frac{1}{7}(x - 6)[/tex]
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
Round 8.1785 to the nearest hundredth
Answer:
I believe its 8.18 hope I helped. =)
Answer:
8.1785 to the nearest hundredth is 8.18.
Step-by-step explanation:
1. I left 8. and change the .1785 because 17 is the hundredths place. Next I took the .1785 and rounded it to .18 because the 85 is above 50.
2. I put the two numbers together (8. & .18) and I got 8.18.
I hope this helps:)
What is the product of 3/4 and6/ 7?
O -7/8
O -9/14
O 9/14
O 7/8
Answer:
Third choice. 9/14
Step-by-step explanation:
3/4 x 6/7 = 18/28 = 9/14
A car travels 35 miles in 3 hours. At this rate, how many miles will the car travel in ½ hour? (Convert answer to a fraction)
Answer:
5 5/6 miles
Step-by-step explanation:
There are a few ways to do this, but one way is to find out how many miles per hour the car can travel. For this we do 35/3(distance/time) which is 11 2/3 mph. Now, to find half an hour we can divided 11 2/3 divided by 2, which is
5 5/6 miles.
Find the value of 3x-2 when x=4
Answer:
10
Step-by-step explanation:
Step 1:
3x - 2 Equation
Step 2:
3 ( 4 ) - 2 input x
Step 3:
12 - 2 Multiply
Answer:
10 Subtract
Hope This Helps :)
HURRY!!! NEED IT FAST ! WILL MARK BRAINLIEST!!!
Answer:
-6.666
Step-by-step explanation:
Answer:
-2/5
Step-by-step explanation:
Let's plug in all of the numbers: [tex]\frac{-(-2^2)(4(-3)-5(-2))}{3(4)-4(-2)}[/tex]
We get [tex]\frac{-(-4)(-12+10)}{12+8}[/tex]
Simplify further to get [tex]\frac{4(-2)}{20}[/tex]
Or [tex]\frac{-8}{20}[/tex]
Which can be simplified to -[tex]\frac{2}{5}[/tex]
Can someone please help me with this
Answer:
8 and 7, I think...
Step-by-step explanation:
keep it up
Supplementary means that the 2 angles add up to 180 degrees. This means that angles 7 + 8 are supplementary
Angle pair equations!! 10 points :)
Answer:
78°
Step-by-step explanation:
(I'm assuming that segment AB is a straight line {180 degrees})
1. since angles DCA and DCB equals 180°, we can set up the equation 4x+2+3x+3=180.
2. if you solve that, you'll get x=25.
3. plug 25 (x) into 3x+3 -> 3(25)+3
4. 3(25)+3=78
5. answer: 78°
Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for reason “Cannot be determined.”
Chapter Reference
b
∆FSH ≅ △_____
By rule ______
Answer:
∆FSH ≅ △_____
By rule Cannot Be Determined
Step-by-step explanation:
Both do not have an answer.
S = 4LW + 2WH; S = 84, L= 6, W= 3.
H=
Please I need help
Answer:
I got you
Step-by-step explanation:
96 = 4(5)(4) + 2(4)H
96 = 80 + 8H
96 - 80 = 8H
16 = 8H
16/8 = H
2 = H
who can answer this gets all my points, and I'm not giving you five.
Got it!?
answer!
please....plz
Answer:
Spaces are as below:
1. 122. 36 (as 12*3= 36)3. 12 (as 12/1= 12)4. 12 (as 36/3= 12)5. Equal (or same whatever is close)6. Is7. y = 12xI NEED HELP ASAP!! will be willing to mark you brainliest!
Answer:
8/75
Step-by-step explanation:
Three scenarios are given in parts a through c below. For each scenario, determine the sampling method used by the managers. a) The managers select a single branch at random and survey every employee of that branch. A. The managers used a systematic sample. B. The managers used a multistage sample. C. The managers used a cluster sample. D. The managers used a stratified sample. E. The managers used a simple random sample. b) The managers use the company e-mail directory to contact every 3030th employee on the list. Choose the correct sampling method below. A. The managers used a cluster sample. B. The managers used a multistage sample. C. The managers used a stratified sample. D. The managers used a systematic sample. E. The managers used a simple random sample. c) The managers split the company into divisions, with each division containing employees that have similar jobs. Within each division, they select a SRS of employees to contact. Choose the correct sampling
Answer:
1. C. The managers used a cluster sample
2. B)The managers used a systematic sample.
3. The managers used a stratified sample.
Step-by-step explanation:
1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.
2. In systematic sampling we select elements from an ordered sampling frame.
3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process
Find the value of the expression 3m2 + 2p2 − 15 when m = 3 and p = 10. (5 points)
A.) 27
B.) 200
C.) 212
D.) 225
Answer:
The answer is C 212
im stupid and dont want to help my little brother so. and you have to show your work
Answer:
242
Step-by-step explanation:
242
4/968 how many times does 4 go into 9? 2 times put the 2 above the 9
8 4 times 2 equals 8 so you put the 8 below the 9 and subtract
1 6 9 minus 8 equals 1 than you drop the 6
1 6 how many times does 4 go into 16? 4 times. put the 4 above the 6
0 8 than multiply 4 *4 =16 than 16-16=0 drop the 8
8 4 goes into 8, 2 times the 2 goes above the 8. 4*2=8
0 8-8=0
which equation matches the graph
A.y=2x+3
B.y=-2x+3
C.y=-4x+2
D.y=4x+2
are there 5 100s in 0.305?
no, 5 is in the thousandths place
Answer:
Step-by-step explanation:
No there is only .3 hundreds
c. Bradley's dad used a light bulb that consumed 5000 joules in 50 seconds. What is the
unit rate at which this light bulb used energy?
Answer:
100 joules/ second
Step-by-step explanation:
5,000/50 seconds = 100 joules/ second
If a light bulb that consumed 5000 joules in 50 seconds, then the unit rate at which this light bulb used energy is, 100 joules/seconds or 100 watts.
What is the rate?Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.
So formula for the rate is,
m = change in one quantity/change in another quantity = Δy/Δx
Given that,
A light bulb that consumed 5000 joules in 50 seconds,
The unit rate at which this light bulb used energy = ?
To find the unit rate,
we can divide the energy consumed (in joules) by the time it took to consume that energy (in seconds):
Unit rate = 5000/50 joules/seconds
= 100 Watts
Note: 1 Watt = 1 Joule/second,
so the unit rate can also be expressed as joules per second.
Hence, the unit rate at which the light bulb used energy is 100 Watts.
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