Answer:
x=3 is the extraneous solution
Step-by-step explanation:
|4x-42| = -10x
Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.
1st equation:
4x - 42 = -10x2nd equation:
4x - 42 = 10xSolve both equations for x:
1st equation:4x - 42 = -10x14x-42 = 014x=42x = 32nd equation:4x-42=10x-6x-42=0-6x=42x=-7Plug in both values for x in the original equation to find the extraneous solution:
x=-7
|4x-42|=-10x|4(-7)-42|=-10(-7)|-28-42|=70|-70|=7070=70x=3
|4x-42|=-10x|4(3)-42|=-10(3)|-30|=-3030≠-30Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5. Which set would be considered a subset of set V? Set W is all the unique three-digit numbers using the digits 1, 3, and 5. Set X is all the unique three-digit numbers using the digits 2, 4, and 6. Set Y is all the unique three-digit numbers using the digits 0, 2, and 4. Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.
Answer: Choice A) Set W is all the unique three-digit numbers using the digits 1, 3, and 5
==========================================================
Explanation:
The original set uses the digits {1,2,3,4,5}. We can only use those digits. Nothing else. So that means we can't use 0, 2, 4, 6, or 7. This rules out choices B through D.
Only choice A is left. This answer choice involves 1,3 and 5 which is the correct subset of digits to use.
--------
Put another way, if set B was a subset of set A, then everything in B must also be found in A. Having B = {2,4,6} and A = {1,2,3,4,5} shows B is not a subset of A. We see a counter example has 6 in B, but not in set A.
This allows us to rule out choice B. Similar ideas apply to the answer choices C and D as well.
Answer:
A
Step-by-step explanation:
ed2020
please help me solve this math problem, tryna graduate here
Answer:
141°
Step-by-step explanation:
Rural and urban students are equally
likely to get admission in a college. If 100
students get admission, then the probability
that more rural students get admission than
urban students is
Answer:
The answer is below
Step-by-step explanation:
Using binomial probability:
p = probability of a rural student getting admission = 1/2
q = probability of a rural student not getting admission = 1/2
n = number of students = 100
P(x) = [tex]C(n,x) p^xq^{(n-x)[/tex]
But [tex]p^xq^{n-x}=\frac{1}{2}^x\frac{1}{2}^{n-x}=\frac{1}{2}^{n}[/tex]
P(x > 50) = P(x = 51) + P(x = 52) + P(x = 53) + . . . + P(x = 100)
P(x > 50) = [tex]\frac{1}{2} ^{100}[C(100,51)+C(100,52)+C(100,53)+\ .\ .\ .+C(100,100)]\\[/tex]
[tex]P(x>50)=\frac{1}{2}^{100} (\frac{1}{2}( 2^{100}-C(100,50)))\\\\P(x>50)=(\frac{1}{2}^{100} *\frac{1}{2}*2^{100})- (\frac{1}{2}^{100} *\frac{1}{2}*C(100,50))\\\\P(x>50)=\frac{1}{2}[(2^{-100}*2^{100})-(\frac{1}{2}^{100} *C(100,50))]\\ \\P(x>50)=\frac{1}{2}[1-\frac{1}{2}^{100} *C(100,50)][/tex]
***ECONOMINCS*** Which statement best summarizes the role of households in the flow of
goods?
A. Households sell products created in product markets.
B. Households provide natural resources to businesses.
C. Households trade goods between product and resource markets.
D.Households act as consumers for goods made by businesses.
The final customers of a companies' products and services are the households. They generate demand in the market dependent on their preferences, and further discussion can be defined as follows:
As per the market demand, the businesses manufactured and provided items in the market and the nation's production line is determined by its families.Households consume the commodities supplied by the companies in a circular flow diagram.It could contribute land for the production of goods, or it may offer itself as the source of employment.It also provides capital, which would be a monetary type of investment that enables businesses to generate consumer products.Therefore, the final answer is "Choice D"
Learn more:
brainly.com/question/22097439
Answer:
D.Households act as consumers for goods made by businesses.
Step-by-step explanation:
Point N is on line segment M O ‾ MO . Given M O = 12 MO=12 and M N = 5 , MN=5, determine the length N O ‾ . NO .
Answer: NO = 7
Step-by-step explanation:
If the total length of MO is 12, and one segment, MN, is 5, the other segment, NO, must have a length so that they add up to 12.
MN + NO = MO
5 + 7 = 12
M_____ N+ N_______O= M____________O
Use the points H(-4,3) and K (4,3)
Determine whether the given segments have the same length. Drag and drop each number
into the correct box to complete the justification of your answer. BC and EF
Answer:
Step-by-step explanation:
Length of a segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of extreme ends of BC and EF are,
B(1, 4), C(3, -2), E(-3, -2) and F(-1, 1)
Length of BC = [tex]\sqrt{(1-3)^2+(4+2)^2}[/tex]
= [tex]\sqrt{4+36}[/tex]
= [tex]2\sqrt{10}[/tex] ≈ 6.32 units
Length of EF = [tex]\sqrt{(-3+1)^2+(-2-1)^2}[/tex]
= [tex]\sqrt{4+9}[/tex]
= [tex]\sqrt{13}[/tex] ≈ 3.61 units
The length of BC is 6.32. The length of EF is 3.61.So, BC and EF don't have the same length.
Courtney and Malik are buying a rug to fit in a
50-square-foot space, which rug should they
purchase? Explain.
$99 Rug Sa
Find the inverse of the equation f(x)=ln(x/x-2)
Answer:
inverse of f(x) = (2e^x)/(e^(x)-1)
Step-by-step explanation:
how do you round answer to two decimal place
Answer:
please give brainlist
Rounding to a certain number of decimal places
If we want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places).
hope this helped
Solve
- 2 + 3x + 24 = x
Answer:
x=-1
Step-by-step explanation:
thank me later it correct did the workhope this works
A house shaped like an octagon has a large porch, as shown. What is the area of the house
and the porch?
5 feet
5 feet
5 feet
5 feet
House
10 feet
15 feet
Porch
30 feet
Answer: 875 square feet
Step-by-step explanation: none atm
t=h+kg isolate g rearrange the formula above
Answer:
[tex]\frac{\left(t-h\right)}{k}\\[/tex] = g
Step-by-step explanation:
Subtract the h
t = h+kg
-h -h
you get:
t-h=kg
now divide the k from both sides
[tex]\frac{\left(t-h\right)}{k}\\[/tex] = [tex]\frac{\left(kg\right)}{k}[/tex]
so,
[tex]\frac{\left(t-h\right)}{k}\\[/tex]=g
a can of paint covers 400 square feet how many cans will needed to cover 3,000 square feet
Answer:
7 and a half cans of Paint ( 7.5 cans of paint )Step-by-step explanation:
If one can of paint covers 400 square feet then this should be easy. Since you need 3,000 square feet covered with paint (and one paint can cover 400 sq) then just divide 3,000 by 400.
This will show you how many times 400 can go into 3,000 which is the same as saying "how many cans of paint can i used to cover 3,000 square feet?"
Hope this helped!-GregItem 3 A snail travels 3/8 feet in 1/2 hour. How many feet does the snail travel in one hour? Express your answer in simplest form. 3/16ft 1/4ft 1/8ft 3/4ft
20+8(x-11)=-12 answer and how to solve it?
Answer: x=7
Step-by-step explanation:
To solve for x, you want to use algebraic properties.
20+8(x-11)=-12 [distribute]
20+8x-88=-12 [combine like terms]
8x-68=-12 [add both sides by 68]
8x=56 [divide both sides by 8]
x=7
Now we know that x=7.
Barbara has 9 stuffed animals. Trish has 3 times as many stuffed animals as Barbara. How many stuffed animals does Trish have?
Answer:
27
Step-by-step explanation:
9 + 9 + 9 = 27
I hope this helps :)
Answer:
trish has 27 because 9 times 3=27 love yall
Step-by-step explanation:
Brianna is playing darts. So far, she has hit the bullseye 6 times and missed the bullseye 27
times. Considering this data, how many bullseyes would you expect Brianna to get during her
next 88 tosses?
Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 3; containing the point (5,-4)
What is the equation of the line?
y =
Answer:
y = 3x - 19
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define variables
Slope m = 3
Random point (5, -4)
Step 2: Plug in known variables
y = 3x + b
Step 3: Find b
-4 = 3(5) + b
-4 = 15 + b
b = -19
Step 4: Write linear equation
y = 3x - 19
While chasing its prey, a cheetah is running slowly and then increases its speed by 42.5 miles per hour to reach a top speed of 70 miles per hour. What is the cheetah's initial speed?
42.5 miles per hour
or
112.5 miles per hour
or
27.5 miles per hour
or
35.5 miles per hour
Answer: 27.5 miles per hour
Step-by-step explanation: 70 - 42.5 = 27.5
Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?
Answer:
17
Step-by-step explanation:
Answer:
22-5=17 the answer is 17
The cost (y) to rent a car is $45 per day plus 22 cents per mile. Which is the constant value in this situation?
A)
0.22x
B)
45
х
D)
у
Answer: is b andrea
Step-by-step explanation: i just took the same test
Answer:
Thy answer is B my queen
Step-by-step explanation:
what is -66 2/3 - 24 1/8 + -78 3/4
Answer:
-169.541667
Step-by-step explanation:
Answer:
Step-by-step explanation:
i belive your asnwer would be -257/24 but what are u trying to find?
2x = 8
X - 3 = 5
5x + 2 = 12
7x + 4 = 25
3x + 1 = 5x – 13
3 (2x + 1) = 2x + 11
3 (2x - 6) = 2 (2x- 1)
2 (x + 3) - 3(2x - 5) =x
Step-by-step explanation:
2x=8
x=8÷2
x=4
x=5+3
×=8
Is 3.14596387 a rational number?
327.8 in scientific notation
Answer:
3.278 * 10 ^ 2
Step-by-step explanation:
To change a number to scientific notation you:
Move the decimal point to the left to make the number have 1 number before the decimal point.
From there you multiply by 10 to the power 2 the number of decimal points you moved.
So the answer is 3.278 * 10^2
HOPE IT HELPED
A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earnings the cupcake shop earns in 5 days.
The correct answer is $4750
Explanation:
If the money earned varies directly with the number of days, this means one factor makes increase the other. In other others, the more days, the higher the earnings. Moreover, the total earnings can be calculated by multiplying the amount earned in one day ($950) by the total days (5). The process is shown below.
Total earnings = Amount earned by day x days
Total earnings= 950 ×5
Total earnings= $4750
nobody can answer this by their own part 4
Answer:
28 days
Step-by-step explanation:
Day 1 = 3 m, day 1 end = 3 - 1 = 2 m
Day 2 end = 2 + 3 -2 = 3m
Day3 end = 3 + 3- 2 = 3 +1 = 4m
On 27th day end = 26+ 3 - 2 = 27 m
On 28th day =27 + 3 = 30 m
can someone answer this please.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12\pi \: mm}}}}}[/tex]
Step-by-step explanation:
[tex] \star[/tex] Radius of a circle ( r ) = 6 mm
[tex] \star[/tex] Circumference of a circle ( C ) = ?
Finding the circumference of a circle having radius ( r ) of 6 mm
[tex] \boxed{ \sf{circumference \: of \: a \: circle = 2\pi \: r \: }}[/tex]
[tex] \hookrightarrow{ \sf{circumference = 2 \times \pi \: \times \: 6}}[/tex]
[tex] \hookrightarrow{ \sf{circumference = 12\pi \: \: mm}}[/tex]
Circumference of the given circle = 12π mm
Hope I helped!
Best regards ! :D
~TheAnimeGirl
An air conditioning system can circulate 400 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Answer:
14.814 i belive