Answer:
Slope of top rail f(x) is 7
Slope of top rail g(x) is 7
Top and bottom rails are parallel.
Step-by-step explanation:
The table shows the distance, in inches, of the top rail f(x) and bottom rail g(x) from the floor for the middle of each numbered stęp x.
x f(x) g(x)
1 9 43
2 16 50
3 23 57
To find the slope of top rail :
x f(x)
1 9
2 16
3 23
[tex](x_1,y_1)=(1,9)\\(x_2,y_2)=(2,16)\\Slope = m = \frac{y_2-y_1}{x_2-x_1}=\frac{16-9}{2-1}=7[/tex]
Slope of top rail f(x) is 7
To Find the slope of bottom rail:
x g(x)
1 43
2 50
3 57
[tex](x_1,y_1)=(1,43)\\(x_2,y_2)=(2,50)\\Slope = m = \frac{y_2-y_1}{x_2-x_1}=\frac{50-43}{2-1}=7[/tex]
Slope of top rail g(x) is 7
We know that if the slopes of two lines are equal then are said to be parallel lines
Since the slopes of both the rail are equal . So, Top and bottom rails are parallel.
A person bought some articles at the rate of 5 per rupee (₹) and the same number of articles at the rate of 4 per rupee (₹). He mixed both the types and sold them at the rate of 9 for ₹2. In this business, he suffered a loss of ₹3. The total number of articles bought by him was:
a. 1090
b. 1080
c. 540
d. 545
Answer:
B. 1080Step-by-step explanation:
Lets assume the number of articles was x.
Half of the articles was bought at the price 1/5 rupee each and the other half was bought at the price 1/4 rupee each.
Cost of articles:
1/2x*1/5 + 1/2x*1/4 = 1/2x(1/5 + 1/4) = 1/2x(4/20 + 5/20) = 9/40xMoney made after sale is:
2/9x according to rateThe difference is 3 rupees:
9/40x - 2/9x = 381/360x - 80/360x = 31/360x = 3x = 3*360x = 1080Correct choice is B
A fancy new brand of laundry detergent just launched an aggressive advertisement campaign in the hope that people will use the brand despite its higher price point. An avid consumer is trying to determine whether this fancy new brand of laundry detergent cleans clothes better than his regular brand of laundry detergent. To do this, over the course of a month he randomly uses one of the detergents in each load of laundry and then, when the wash cycle is complete, assigns a value to how clean the clothes are based on the number of garments that are "sufficiently clean," with higher scores being better. If the consumer were to perform a test to tell the difference between the mean scores of each detergent (ignoring the flaws in this test design), what hypothesis would he use?
Step-by-step explanation:
Here is the answer to this question,
His hypothesis would be:
Null hypothesis:
H0: μ(new) - μ(regular) = 0
Alternate hypothesis:
H1: μ(new) - μ(regular) > 0
The consumer is testing to know if his new detergent is better off in cleaning than the regular. The question says that higher scores after cleaning is used to signify which is better based on sufficiently clean garment. Since he is interested in knowing the mean scores of the differences, he should use the hypothesis I stated above.
the question is in the image below
f(x)=x^3- X-1; between 1 and 2
Answer:
Here's one way to do it.
Explanation:
Let
f
(
x
)
=
x
3
−
2
x
2
+
3
x
.
(Needed because the intermediate value theorem is a theorem about functions .)
Observe that the equation
x
3
−
2
x
2
+
3
x
=
5
has a root (a solution) exactly when
f
(
x
)
=
5
So the question now is to show that for at least one number
c
, in
[
1
,
2
]
, we get
f
(
c
)
=
5
.
f
is continuous on
[
1
,
2
]
(Because it is a polynomial and they are continuous everywhere.)
f
(
1
)
=
2
and
f
(
2
)
=
6
5
is between
f
(
1
)
and
f
(
2
)
, so
by the intermediate value theorem, there is at least one number
c
, in
[
1
,
2
]
, for which
f
(
c
)
=
5
.
That is, the original equation has a solution.
Step-by-step explanation:
Scenario: Stephanie has been driving for four years without any major auto accidents-until today. It was pouring rain when she left class, and within minutes of leaving, she was forced to make an evasive maneuver that caused her to go into a spin on the wet road. After knocking an expensive, high-end luxury car down an embankment, Stephanie came to a stop by smashing into the side of a mid-range sedan.
She was found to be at fault in the accident, so let's look at the extent of the damage she caused:
Luxury car: This car was totaled at a value of $95,000.
Sedan: This car will need $4,000 in repairs.
Hospital bills: The driver of the luxury car had $15,000 in medical bills for a broken arm, while his passenger had $185,000 in medical bills for emergency surgery and recovery.
Like many Americans, Stephanie carries a 100/300/100 liability policy.
What is the total dollar value of the property damage Stephanie caused?
Select one:
$95,000
$110,000
$99,000
$299,000
Answer:
95,000
Step-by-step explanation:
Because I did the math
Kim sold a house for 250,000$,and made a 2% commission.how much money did Kim make from commission for selling the house
Answer:
$5000
Step-by-step explanation:
250000*2%=5000
PLEASE HELP!!!! ⚠️⚠️⚠️⚠️⚠️⚠️
Answer: C
Step-by-step explanation:
I think it’s C
8. Pls don’t lie. id appreciate that.
Answer:
The answer for your question is C.
A spinner with 12 equally sized slices has 12 yellow slices. The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a yellow slice?
Write your answer as a fraction in simplest form.
Answer:
1/1
Step-by-step explanation:
The reason why is because the spinner has 12 slices and on that spinner there is 12 yellow slices meaning all the slices on the spinner are yellow.
This means it is a 100% chance to land on yellow but 100% aas a fraction is 100/100.
You can simplify 100/100 a hundred times to 99/99 to 98/98 you can keep doing it but it's lowest form is the lowest number besides zero and that is 1 so it's lowest form is 1 out of 1 or 1/1 or 100%.
Hope this helps have a great afternoon:)
5×100+4×10+6×1+2×(
10
1
)+8×(
1000
1
)
Answer:
5×100+4×10+6×1+2×(101)+8×(10001) =
80756
Choose the best solution to the following system of linear equations.
Answer:
(-7;-1).
Step-by-step explanation:
1) to make up and solve the equation:
[tex]\frac{5}{7}x+4=-\frac{1}{7}x-2; \ = > \ x=-7.[/tex]
2) to substitute x=7 into any given equation and calculate the value of y:
[tex]y=\frac{5}{7}*(-7)+4=-1.[/tex]
3) finally, (-7;-1).
A baseball bat is approximately
Distar
Tune
C. A person walks to a friends house
where she stays overight.
Distance from
home
Time
Create a graph, table and mapping diagram from the following set of points
{(-3,5). (5, 1), (2,5).(-1,-4).(-3, 6))
00
Domain:
Range:
5. The ordered pair below represents a point on the line 3y + 4x = 5. What is
the missing y-coordinate of this point? (5, ?). Show work.
Answer:
The value of the missing y coordinate is -5.
Step-by-step explanation:
The given line is :
3y + 4x = 5
We need to find the value of missing y-coordinate of this point? (5, ?). Let it is k. This point will satisfy the given equation. It means, put the value of x 5 in given equation.
[tex]3k+4(5)=5\\\\3k+20=5\\\\3k=-15\\\\k=-5[/tex]
So, the value of the missing y coordinate is -5.
Answer: -5
(Haven't been on in a while lol, hope this helps!)
-Astolfo
Using the digits 1 to 9, at most one time each, create an equation where x has the smallest possible value. (▢ is empty values)
▢/▢ (▢x+▢) +▢x=▢x+▢
Answer:
1/8(7x +2) +3x = 4x +9
Step-by-step explanation:
The value of x will be smallest when it is most negative. Here, that will occur when the numerator of the rational solution for x is as large a positive number as possible, and the denominator is a small negative number.
If we call the spaces a, b, ..., g, then the value of x is ...
x = (bg -ad)/(ac +b(e-f))
This is smallest (most negative) when bg is as large as possible (8·9), and ad is as small as possible (1·2). Then values for c, e, f can be chosen to make the denominator -1. The solution for x looks like ...
x = (8·9 -1·2)/(1·7 +8(3 -4)) = 70/-1 = -70
The smallest possible value of x is -70. One way to obtain that value is ...
1/8(7x +2) +3x = 4x +9
_____
There are numerous ways to obtain "indeterminate" results where the equation reduces to one with no solution. And there are a number of ways to have the solution be infinity: (ac-b(e-f)) = 0.
∠A and ∠B are supplementary. m∠A = (3x + 6), m∠B = (4x + 20). Find the measure of each angle.
Answer:
Step-by-step explanation:
3x + 6 + 4x + 20 = 180
7x + 26 = 180
7x = 154
x = 22
m<A= 3(22) + 6 = 66 + 6 = 72°
m<B = 4(22) + 20 = 88 + 20 = 108°
3. Which relation is not a function?
A {(1,5), (2,6), (3,6), (4,7)}
B{(4,7, (2,1), (-3,6), (3,4)}
C {(-1,6), (1,3), (2,5), (1,7)}
D {(-1,2), (0,5), (5,0), (2,-1)}
Answer:
C. A function CANNOT have a repeating x-value and C has 1 as an x value twice.
Step-by-step explanation:
answer quickkkkkkkkkkk
Answer:
last oneeee
Step-by-step explanation:
Find the value of each variable in the parallelogram.
Diagonals bisect eachother in a paralleogram
So
2u+2=5u-103u=12u=4And
v/3=6v=6(3)v=18Answer:
u = 4
v = 18
Step-by-step explanation:
The diagonals of a parallelogram bisect each other (bisect means to divide into two equal parts).
2u + 2 = 5u - 10
Add 10 to both sides:
⇒ 2u + 12 = 5u
Subtract 2u from both sides:
⇒ 12 = 3u
⇒ 3u = 12
Divide both sides by 3:
⇒ u = 4
[tex]\sf \dfrac{v}{3}=6[/tex]
Multiply both sides by 3:
⇒ v = 18
12/20 + 9/20 = Write as BOTH an
improper fraction and a mixed number.
Improper fraction: 21/20
Mixed number: 1 1/20
Find the measure of angle RPF
Answer: 124°
Step-by-step explanation: Notice that angles CPF and RPB are vertical <'s.
Vertical angles are two angles that share a common
endpoint and whose sides form opposite rays.
Since these angles have the same measure,
we can setup the equation 4t + 88 = 2t + 72.
Now subtract 2t from both sides and we have 2t + 88 = 72.
Now subtract 88 from both sides to get 2t = -16.
Solving from here, we find that t = -8.
Now notice that <FPB is a straight angle which
means that it measures exactly 180 degrees.
So let's substitute a 4 into the measure of angle CPF.
So we have 4(-8) + 88 or -32 + 88 which is 56°.
Since FPC and CPB are a linear pair, we know that are supplementary.
If two angles are supplementary, then the sum of their measures is 180 degrees which means we take 180 minus the measure of <CPF.
So we have 180 - 56 which is 124°.
Now since <CPB and <FPR are vertical angles
So<FPR must also measure 124°
Make a number line and mark the points that represent the following values of x.
x squared=16
Please mark where this is suppose to go on the number line :)
Answer:
Positive 4
Step-by-step explanation:
4 squared is equal to 16 as 4 x 4 = 16. However, if it was -4 squared, it would equal -16.
what the fact family for 4,6,10 I got b 10-6=4 10-4=6 4+6=10 6+4=10 what your answer
Answer:
B
Step-by-step explanation:
These numbers form an addition and subtraction, fact family.
4, 6, 10
Choose the fact family formed by these numbers.
A.
10 – 6 = 4
10 – 6 = 4
4 + 6 = 10
4 + 6 = 10
B.
10 – 6 = 4
10 – 4 = 6
4 + 6 = 10
6 + 4 = 10
C.
4 + 6 = 10
10 – 6 = 4
D.
6 + 4 = 10
10 – 4 = 6
PLEASE HELP IM CONFUSED HOW TO FACTORISE THESE
Answer:
c-(y-1)(y+1)
d-(x-8)(x+8)
g-(a-9)(a+9)
h-(x-y)(x+y)
k- -1(x-5)(x+5)
i- -1(b-1)(b+1)
o- (x-20)(x+20)
p- -1(y-30)(y+30)
Step-by-step explanation:
k(special)
-1(x^2-25)
-1(x-5)(x+5)
i
-1(b^2-1)
-1(b-1)(b+1)
(continue with same procedure for such)
c -difference of square
there are all difference of square
10! Or 10 factorial please
Answer:
3628800
Step-by-step explanation:
just use a calculator if you need these types of things
if you're using this for a equation then substitute with 10*9*8*...
Two less than the quotient of 15 and a number
I need help
Answer:
15 ÷ x -2
Step-by-step explanation:
you do 15÷x bc it says the quotient which is division and then you take whatever you get from 15÷x and subtract 2 from that.
write a equation 2 solve for x you are only writing the equation they said it was wrong 8x+10 12x -18 or did i do it backwards did I write it backwards was I supposed to start the other numbers or do it can you tell me how to write it without spaces
Answer:
x=1.25
Step-by-step explanation:
8x+10=12x-18-10=7
8x+12x=10-18+10+7
20x=25
d.b.s by 20
20x/20=25/20
1=1.25
I thinks I am right if not pls reply me with the correct answer pls
x=1.25
8(3x-2+w) help meee plz
Answer:
24x -16 +8w
Step-by-step explanation:
Just distribute
Answer:
8w+24x=-16
Step-by-step explanation:
All you do is times 8 to all those numbers!!!!!
if 3 = 1/2gt^2, make t the subject of the formula
Answer:
t = √1.5/g
Step-by-step explanation:
1/2gt^2 = 3
Divide both sides by 1/2
gt^2 = 1.5
Divide both sides by g
t^2 = 1.5/g
Square root both sides
t = √1.5/g
please help! ASAP!
Find the perimeter of the figure below.
Answer:
30 ft
Step-by-step explanation:
The Pythagorean theorem can be used to find the length of the unknown side. It tells you the sum of the squares of the legs is equal to the square of the hypotenuse.
12² +a² = 13²
a² = 169 -144 = 25
a = √25 = 5
The sum of the side lengths is ...
(12 +5 +13) ft = 30 ft
The perimeter is 30 feet.