Answer:
transformed function, g (x) = (1/5)(-x)+7
Step-by-step explanation:
Assuming
f (x) = -x (and not f(x)-=x)
To compress/expand, we apply
g (x) = a*f(bx-k)+h
where
a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)
b=horizontal compression factor (=1 i this case)
h=vertical translation (=7)
k=horizontal translation (=0)
So the transformed function,
g (x) = (1/5)(-x)+7
Can someone help me with this question please.....
Answer:
9g/cm3 (g/ml)
Step-by-step explanation:
d(roe)=m/v=63g/7cm3=9g/cm3(g/ml)
d(roe)=m/v=117g/13cm3=9g/cm3(g/ml)
Step-by-step explanation:
We can get the density either by converting both the masses and the volumes or we solve them like like that using the formula Density = P = Mass/Volume. After converting both mass and volume, your unit will be in kg/m^3..........Without converting, your unit will be in g/cm^3The function f(x) = 4e* when evaluated for f(2) is:
Answer:
The function f(x) = 4e* when evaluated for f(2) is:
Step-by-step explanation:
Its slope must be m= f'(0).
f'(x) = 8e2x ⇒ m = f'(0) = 8
y - y1 = m(x - x1)
m = 8
y1 = 10
x1 = 0
cause
In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
Answer:
16
Step-by-step explanation:
75/5 is 15 and in order to start making a profit than you have to wash 16 cars
hope this helps
Answer:
Step-by-step explanation:
The idea is to find out after what number car washed will they begin to make money. That means that this is an inequality. If they charge $5 per car, and the number of cars is our uknown, then the expression for that charge is 5x. If they need to make more than what they spent on setting up, they want to make more than $75, which looks like this: > 75. Putting that together:
5x > 75 and solving for x,
x > 15.
That means that they have to wash 15 cars to just break even and starting on the 16th car on up, they will see a profit.
PLEASE HELP WITH GEOMETRY HOMEWORK!! WILL GIVE BRAINLIEST ANSWER TO THE PERSON WHO CAN GIVE ME A ANSWER WILL ALL THE WORK SHOWN TO PROVE THEIR ANSWER!!
Information needed to solve:
- Points O and P are the midpoints to the two circles
- The length between O and P is 6
-The two circles are of the same size
-DONT ASSUME ANYTHING OTHER THAN THE INFORMATION GIVEN UNLESS YOU HAVE PROOF AND EVIDENCE TO SHOW IT IS TRUE!!
Answer:
Shaded area = 6^2 * ( pi/3 - sqrt(3)/2 )
= 6.52 square units (to 2 places of decimals)
Step-by-step explanation:
see solution by same author given in
https://brainly.com/question/17023327?answeringSource=feedPersonal%2FhomePage%2F2
(question 17023327)
Please refer to the diagram for additional letters and measures.
Let
r=radius (OA and PA) of each circle
Area of sector PAOB
= (60+60)/360 * pi * r^2
=pi*(r^2)/3
Area of triangle PAB
= 2* (r cos(60) * r sin(60) /2)
= 2* ((r/2) * r (sqrt(3)/2) /2)
= sqrt(3) * r^2 / 4
= r^2 * sqrt(3)/4
Area of segment AOB
= area of segment PAOB - area of triangle PAB
= r^2 * ( pi/3 - sqrt(3)/4 )
By symmetry, area of shaded area
= area of segment AOB - area of triangle AOB
= area of segment AOB - area of triangle PAB
= r^2 * ( pi/3 - sqrt(3)/4 ) - r^2 * ( sqrt(3)/4)
= r^2 * ( pi/3 - 2*sqrt(3)/4 )
= r^2 * ( pi/3 - sqrt(3)/2 )
Since r = b, we substitute
Shaded area
= b^2 * ( pi/3 - sqrt(3)/2 )
Substitute b=6
area
= 6^2 * ( pi/3 - sqrt(3)/2 )
= 6.522197 square units
please simplify this
Answer:
root 10
Step-by-step explanation:
Create a statement or a situation based on the given equation
a)
[tex]3x - 22 = \frac{x}{4} [/tex]
where x is an integer
Answer:
[tex]3x - 22 = \frac{x}{4} [/tex]
When twenty two is subtracted from a number multiplied by three the result is the same as the number divided by 4.
Hope this helps you
Answer:
here is the answer
Step-by-step explanation:
statement- the result obtained when 22 is subtracted from 3 times of a number is one-fourth of the number.
situation- rahul sees the price of a toy he wants to buy. after two years he comes to the shop again to buy the product. he notices that the price has become thrice the original. the shopkeeper agrees to reduce an amount of 22 rupees and he pays one fourth of the original price to the shopkeeper and buys the producet. find the original price of the toy.
Directions: Use the acronym PANIC to find the confidenceintervals.1.An SRS of 60 women showed that the average weight of a purse is 5 pounds with a standard deviation of 1.2 pounds. Find the 90% Confidence Interval for the actual average weight of purses.
Answer:
90% Confidence Interval for the actual average weight of purses.
(4.7412 , 5.2588)
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 60
mean of the sample x⁻ = 5 pounds
Standard deviation of the sample 'S' = 1.2 pounds
Level of significance = 0.10
90% Confidence Interval for the actual average weight of purses.
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]
[tex](5 - 1.6711\frac{1.2}{\sqrt{60} } , 5 +1.671\frac{1.2}{\sqrt{60} } )[/tex]
( 5 - 0.2588 , 5 + 0.2588)
90% Confidence Interval for the actual average weight of purses.
(4.7412 , 5.2588)
RST is dilated about the origin,O, to creat R’S’T’. Point R is located at (3,9) and point R is located at (1.2, 3.6). Which scale factor was used to perform the dilation
Answer:
The scale factor used is 0.4
Step-by-step explanation:
Given
[tex]R = (3,9)[/tex]
[tex]R' = (1.2, 3.6)[/tex]
Required
Determine the scale factor of RST
The question can be solved using scale factor formula
Scale factor is calculated as thus;
[tex]Scale\ Factor = \frac{New\ Length}{Old\ Length}[/tex]
In this case; R' is the new length and R is the old length
[tex]Scale\ Factor = \frac{R'}{R}[/tex]
Substitute the values of R and R'
[tex]Scale\ Factor = \frac{(1.2,3.6)}{(3,9)}[/tex]
Factorize the denominator
[tex]Scale\ Factor = \frac{(1.2,3.6)}{2.5(1.2,3.6)}[/tex]
[tex]Scale\ Factor = \frac{1}{2.5}[/tex]
[tex]Scale\ Factor = 0.4[/tex]
Hence, the scale factor used is 0.4
12
y= x2 + x-2
x+ y=1
If (x, y) is a solution of the system of equations
above, which of the following is a possible value of
xy?
A) 7
B 1
C) -1
D) -12
Answer:
D,xy=-12
Step-by-step explanation:
y=x²+x-2
x+y=1
or x+x²+x-2=1
x²+2x-3=0
x²+3x-x-3=0
x(x+3)-1(x+3)=0
(x+3)(x-1)=0
either x=-3
or x=1
when x=-3
x+y=1
-3+y=1
y=1+3=4
one solution is (-3,4)
xy=-3×4=-12
if x=1
1+y=1
y=0
second solution is (1,0)
xy=1×0=0
P(x) = 2x^4 - x^3 + 2x^2 - k where k is an unknown integer. P(x) divided by (x+1) has a remainder of 2. What is the value of k?
Answer:
k = 3
Step-by-step explanation:
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answer:45 I think
Step-by-step explanation:
Helppp!!!! please!!!
Answer:
d. 15 square yard
Step-by-step explanation:
[tex]area \: of \: shape \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 3 \\ \\ = \frac{1}{2} \times 30 \\ \\ = 15 \: {yd}^{2} [/tex]
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached
In the 5th year
Step-by-step explanation:For the first year, the salary is 1.2million = 1,200,000
For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000
.
.
.
For the last year, the salary is 1.5million = 1,500,000
This gives the following sequence...
1,200,000 1,275,000 . . . 1,500,000
This follows an arithmetic progression with an increment of 75,000.
Remember that,
The last term, L, of an arithmetic progression is given by;
L = a + (n - 1)d ---------------(i)
Where;
a = first term of the sequence
n = number of terms in the sequence (which is the number of years)
d = the common difference or increment of the sequence
From the given sequence,
a = 1,200,000 [which is the first salary]
d = 75,000 [which is the increment in salary]
L = 1,500,000 [which is the maximum salary]
Substitute these values into equation (i) as follows;
1,500,000 = 1,200,00 + (n - 1) 75,000
1,500,000 - 1,200,000 = 75,000(n-1)
300,000 = 75,000(n - 1)
[tex]\frac{300,000}{75,000} = n - 1[/tex]
4 = n - 1
n = 5
Therefore, in the 5th year the maximum salary will be reached.
Hi! I need help with my maths the question is 69x420=? (i dont have calculator)
Answer:
69×420=28980
just use calculator
Step-by-step explanation:
i hope this will help you :)
Answer:
28,980
Step-by-step explanation:
After substituting, what is the first step when evaluating x + 3 x minus 4.2 when x = 5?
Answer:
Multiply the 3*5
Step-by-step explanation:
x+3x -4.2
Substitute x=5
5 + 3*5 -4.2
PEMDAS states multiply first
Multiply the 3*5
5 + 15 -4.2
Answer:
a!
Step-by-step explanation:
yw
Ten friends want to play a game. They must be divided into three teams with three people in each team and one field judge. In how many ways can they do it?
Answer:
16,800 number of waysStep-by-step explanation:
Let the ten friends represents the 10 letters ABCDEFGHIJ. If they must be divided into three teams with three people in each team and one field judge, the arrangement will become (ABC)(DEF)(GHI)J
This shows that ABC, DEF and GHI are the three teams and J is the chief judge. Since each groups are now a team, we can represent everyone in each teams with the same letter except the judge as shown;
(AAA)(BBB)(CCC)J where J is the judge
Since there are 10 friends in all and there are A, B and C are repeated three times, the arrangement can be done in the following way as shown;
[tex]\frac{10!}{3!3!3!1!}[/tex]
[tex]= \frac{10*9*8*7*6*5*4*3!}{3!*6*6*1}\\ = \frac{10*8*7*6*5}{1} \\= 16,800ways[/tex]
This shows that they can do it 16,800 number of ways
The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answer:
8 is the difference, and 19 and 11 are the numbers. Hope this helped!
Answer: The difference is 8.
Step-by-step explanation:
We will let l represent the larger number s represent the smaller number.
so we know that L + S =30
Also 2L - 3S = 5 shows the relationship between the numbers.
Now we have two equations.
L + S =30
2L - 3S = 5 solve using any method.
L + S =30 solve for L and substitute it into the second equation.
L + S = 30
-S -S
L = 30 -S
2(30-s) - 3s = 5 Distribute
60 - 2s - 3s = 5 combine like terms
60 -5s = 5
-60 -60
-5s = -55
s = 11
We know the smaller number is 11 so to find the larger number we will subtract 11 from 30.
30 -11 = 19
The larger number is 19
so To find the difference we will subtract 11 from 19.
19 -11 = 8
The graph of y=4x[tex]x^{2}[/tex]-4x-1 is shown
Answer:
i.) (-0.25, 0), (1.25, 0)
ii.) (0.5, 2), (1.5, 2)
Step-by-step explanation:
For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.
For ii, it is asking for the x-values when y = 2.
PWAESE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
In the given figure, LMNO and GHJK are rectangles where GH = 1/2 LM and HJ = 1/2 MN. What fraction of the region is bounded by LMNO that is not shaded? (figure not drawn to scale)
A. 1/4
B. 1/3
C. 1/2
D. 3/4
Answer:
3/4
Step-by-step explanation:
To answer this question we must first calculate the area of GHJK:
A= GH*HJ A= (LM/2)* (MN/2) A= LM*MN/4 LM/MN is the area of LMNO So the area of LMNO is 4 times the area of GHJK A is the area of LMNO and S the area of GHJK S= A/4 A-S= A-A/4 = 3A/4 so the area that is not shaded is 3/4Find the distance between 1, 4) and (4,0).
Please helpppp meee
Answer:
5
Step-by-step explanation:
Distance formula
[tex]\sqrt{ (0-4)^2 + (4-1)^2}\\\sqrt{16 + 9)}\\ \sqrt{25\\[/tex]
A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Answer:
d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.
Step-by-step explanation:
The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc
As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated
Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased
Therefore the option d is correct
Answer:
D
Step-by-step explanation:
I got it right on the test.
Trust me
The graph of g(x) is the result of translating the graph of f(x) = 3* six units to the right. What is the equation
g(x) = 3*-6
g(x) = 3*+6
g(x) = 3X-6
g(x) = 3* + 6
Answer:
Step-by-step explanation:
Pls help me with my question roo
The graph of g(x) is g(x) = [tex]3^{x-6}[/tex]
What is translation?A translation is a rigid transformation because it does not change the size or shape of the original figure. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.
Given that, graph of g(x) is the result of translating the graph of f(x) = 3ˣ, 6 units to the right.
Translation the graph of the function y = f(x) a units to the right gives the function y = f(x-a)
So, here, f(x) = 3ˣ will be transformed to g(x) = [tex]3^{x-6}[/tex]
Hence, the graph of g(x) is g(x) = [tex]3^{x-6}[/tex]
Learn more about translation, click;
https://brainly.com/question/12463306
#SPJ5
please hellp please helllp
Answer:
a) y = [tex]\frac{7}{17}[/tex]
b) x = 4
Step-by-step explanation:
a) [tex]\frac{3y+2}{5} =4y-1[/tex]
3y + 2 = 20y - 5
2 = 20y - 3y - 5
2 = 17y - 5
2 + 5 = 17y
7 = 17y
y = [tex]\frac{7}{17}[/tex]
b) x² + 5 = 21
x² = 21 - 5
x² = 16
x = √16
x = 4
Check the attachment... hope it helps :)
x= +4 or -4
y= 7/17
Mary has $311.75 to convert into yen. The currency exchange she is using charges a surcharge of 6% when converting currency. About how many more yen will Mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate?
Answer:
¥1,512.49
Step-by-step explanation:
Here is the complete question:
The exchange rate between non-fixed currencies continually fluctuates. The chart below shows the exchange rate of the US dollar to the Japanese yen over the course of six days.
Day
$:¥
Monday
1:88.6122
Tuesday
1:90.8305
Wednesday
1:87.5507
Thursday
1:91.2323
Friday
1:92.7120
Saturday
1:89.4477
Mary has $311.75 to convert into yen. The currency exchange she is using charges a surcharge of 6% when converting currency. About how many more yen will Mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate?
Solution:
Of all the days of the week, the most favorable exchange rate day is Friday where the exchange rate is ¥92.7120 and the lease favorable exchange rate day is on Wednesday where the exchange rate is ¥87.5507.
If Mary converted the currency, she will receive only 94% of her money excluding 6% surcharge.
Favorable day(Friday)= ($311.75) x (92.7120/1) x 0.94
=¥27,168.788
Least Favorable day(Wednesday) =($311.75) x (87.5507) x 0.94
=¥25,656.294
The difference between most favorable day and least favourable day = ¥27,168.788 - ¥25,656.294
= ¥1,512.49
Answer:
¥1,513
Step-by-step explanation:
Given \qquad m \angle AOC = 104^\circm∠AOC=104 ∘ m, angle, A, O, C, equals, 104, degrees \qquad m \angle AOB = 7x + 30^\circm∠AOB=7x+30 ∘ m, angle, A, O, B, equals, 7, x, plus, 30, degrees \qquad m \angle BOC = 9x + 42^\circm∠BOC=9x+42 ∘ m, angle, B, O, C, equals, 9, x, plus, 42, degrees Find m\angle BOCm∠BOCm, angle, B, O, C:
Answer:
∠BOC = 60°
Step-by-step explanation:
Given the following angles.
∠AOC=104°
∠AOB = (7x + 30)°
∠BOC= (9x + 42)°
Since all the angles have a common point at O, it can be inferred that;
∠AOC = ∠AOB + ∠BOC
104° = (7x + 30)° + (9x + 42)°
104° = 16x+72
16x = 104-72
16x = 32
x = 32/16
x = 2°
To get ∠BOC:
Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC
∠BOC = 9(2) + 42
∠BOC = 18+42
∠BOC = 60°
please could someone help me with these questions?? brainliest for quickest!
Answer:
523 -61= 462
456-187=269
Step-by-step explanation:
subtract the last numbers first 3-1 which is 2 then 2-6 which is impossible so you borrow from 5 and add 10 to 2 which become 12-6 which is 6 the the first number has only 4 left because you borrowed from it which is 4 so 523-61= 462.
subtract the last number 6-7 it not possible because 6 is less than 7 so borrow from 5 then add 10 to 6 which become 16-7=9 then the second number you have 4-8 since you borrowed from 5, 4-8 is also not possible so borrow from 4 which become 14-8 which is 6 and the first number which is now 3- 1 which is 2 so all the result become 269
6. Trail Bike Rentals charges a $16 fixed fee plus $8 per hour for renting a bike. Matt paid $72
to rent a bike. How many hours did Matt use the bike? Write an equation to represent this
scenario and solve for the variable. (2 marks)
please please help asap!
Answer:
7 hours
Step-by-step explanation:
The total amount is the flat fee plus the amount per hour times the number of hours
16 + 8h = 72
Subtract 16 from each side
16+8h-16 = 72 -16
8h = 56
Divide by 8
8h/8 = 56/8
h = 7
7 hours
Answer:
The equation is p = 8h+16
Mike rented a bike for 7 hours
Step-by-step explanation:
[tex]equation=8h+16\\Mike\\paid \\72\\\\72 = 8h+16\\Divide\\9=h+2\\Subtract\\7=h[/tex]
Hope it helps <3
Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.
Answer:
Check it below
Step-by-step explanation:
Hello!
By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.
In the triangle PQR::
Use a compass, open its legs with a little more than half of [tex]\overline{PQ}[/tex] . Place the needle point in the vertex of P. Mark!Do the same, placing the needle point in Q, following [tex]\overline{QP}[/tex] direction. MarkRepeat it with the other triangle's line segment, namely:[tex]\overline {QR},\:\overline{PR}[/tex]
4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.
5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.
Answer:
edg but few yrs later
Step-by-step explanation:
if f(x) = 3x^2-2x+4 and g(x)=5x^2+6-8 find (f+g)(x)
Answer: 8x²+4x-4
Step-by-step explanation:
(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.
3x²-2x+4+5x²+6x-8 [combine like terms]
8x²+4x-4
Which of the following are possible side lengths of a triangle? (select all that apply) a. 1, 1, 2 b. 3, 4, 5 c. 5, 5, 11 d. 7, 8, 12 e. 4, 4, 4 f. 4, 8 ,13
Choice B
Choice D
Choice E
=================================================
Explanation:
Use the triangle inequality theorem. This is the idea where adding any two sides must lead to a result larger than the third side; otherwise, a triangle is not possible. I recommend cutting out strings of paper of these lengths to confirm that you can make a triangle or not.
----------------------------------
For choice A, a triangle is not possible since the first two sides add to 1+1 = 2, but this isn't larger than the third side of 2 units. All we can do really is just form a straight line and not a triangle. We can rule choice A out.
----------------------------------
Choice B is a triangle. Specifically it is a 3-4-5 right triangle that is famous with the pythagorean theorem. Note how...
3+4 = 7 is larger than 54+5 = 9 is larger than 33+5 = 8 is larger than 4so adding any two sides of this triangle leads to the sum being larger than the third remaining side. Choice B is one of the answers.
----------------------------------
Choice C is not a triangle. We have 5+5 = 10 but that isn't larger than 11. We can rule this out.
----------------------------------
Choice D is a triangle since
7+8 = 15 is larger than 127+12 = 19 is larger than 88+12 = 20 is larger than 7any two sides sum to a value larger than the third side
----------------------------------
Choice E is a triangle. We have an equilateral triangle with all sides the same length, and all angles the same value (60 degrees). This is another answer.
----------------------------------
Choice F is similar to choice C. We have the first two sides add to something smaller than the third side (4+8 = 12 is smaller than 13). We can rule this out.