Let's focus on g(x) for now.
0.2 = 1/5
f(x) = log(x) is the parent function
0.2*f(x) = 0.2*log(x) .... vertical compression by factor of 5
0.2*f(x+14) = 0.2*log(x+14) .... shift 14 units to the left
0.2*f(x+14)+10 = 0.2*log(x+14)+10 .... shift 10 units up
g(x) = 0.2*log(x+14)+10
The transformations to go from f(x) to g(x) are:
vertical compression by factor of 5shift 14 units to the leftshift 10 units upThe domain of g(x) is x > -14 to ensure that x+14 > 0. This is so we avoid applying a log to 0 or a negative value. The parent function domain was x > 0. Note how the domain shifted 14 units to the left (step 2)
======================================================
Now onto h(x)
f(x) = log(x)
5f(x) = 5log(x) .... vertical stretch by factor of 5
5f(x+14) = 5log(x+14) ... shift 14 units left, just like earlier
5f(x+14)-10 = 5log(x+14)-10 ... shift 10 units down
h(x) = 5log(x+14)-10
The transformations to go from f(x) to h(x) are:
vertical stretch by factor of 5shift 14 units to the left (same as g(x))shift 10 units down (instead of up compared to g(x))This time h(x) is taller compared to f(x), while g(x) is more vertically squished compared to f(x). Both involve being shifted 14 units to the left, so both g(x) and h(x) have the same domain. Vertical shifting and compressing/stretching does not affect the domain.
The range of f(x), g(x) and h(x) is the set of all real numbers.
If you can answer this question please do it as soon as you can.
PLZZZ HELP< MY LAST ATTEMPT!
Answer:
A
Step-by-step explanation:
cos that's the midpoint
quadrilateral ADCD Is the image of quadrilateral ABCD UNDER TRANSLATION
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Answer:
ABCD-AEFG
Step-by-step explanation:
mr george has a bank balance of 42 dollar at the start of the mouth.after he depostite 6 dollar the new balance is
Answer:
48 dollars.
Step-by-step explanation:
If Mr. George starts with 42, and adds 6, his new balance should equal 48 because you add the two numbers.
help me solve b=3x+9xy
Ok so I just need to match the letter with the definition but I don’t get it help please!
Answer:
m = slope
b = y-intercept
y = output
x = input
y = mx + b
y2 - y1 / x2 - x1
20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.
Answer:
125 birr
Step-by-step explanation:
80%=100
1%=1.25
100%=125
4x - 8 = 12
4x - 8 + 8 = 12 + 8
4x = 20
4/4x = 20/20
x=
Answer:
x=5
Step-by-step explanation:
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5. Also, if replace x with 5 within any of the equations it works.
Hope this helps!
The solution is: The value of x is: x=5
Here, we have,
given that,
the expression is: 4x - 8 = 12
we get,
4x - 8 = 12
or, 4x - 8 + 8 = 12 + 8
or, 4x = 20
now, we have,
If 4x=20 then all we need to do is to divide both sides by 4 and we get x=5.
i.e. 4x/4 = 20/4
or, x = 5
Also, if replace x with 5 within any of the equations it works.
Hence, The solution is: The value of x is: x=5
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M is the midpoint of CF for the points C(3, 7) and F(5, 5). Find MF.
√600 and ∛56 and show work
Answer:
√600 is around 24.5 while ∛56 is around 3.83
Step-by-step explanation:
Method: TRIAL AND ERROR
For √600, we can follow trial and error method:
30^2 is 900, so too big
20^2 is 400, so too small
25^2 is 625, too big
24^2 is 576, too small
Considering that 600 is between 24^2 and 25^2, we can try in between:
24.5^2 is 600.25, which is very close, therefore 24.5 is the answer
For ∛56, we can also follow trial and error method:
5^3 is 125
4^3 is 64
3^3 is 27
Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;
3.7^3 is 50.6
3.8^3 is 54.8
3.9^3 is 59
3.85^3 is 57
3.84^3 is 56.6 (still larger)
3.83^3 is 56.1
So the answer is 3.83
But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.
Hope this helped. :)
~ Janice, year 10
PLEASE ANSWER WILL GIVE BRAINLIEST
You are considering a $3,500 investment. The table shows the possible outcomes in cash flow next year. What is the expected rate of return on this asset?
(see attachment)
Answer:
The expected rate of return is $442.5
Step-by-step explanation:
The expected rate of return is given by the following formula;
[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]
Where;
E[R] = The expected return
[tex]R_i[/tex] = The return received in the instance i
[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i
n = The number of instances for the calculation
Therefore, we have;
The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5
Answer the answer is D 12.6%
Step-by-step explanation:
I need help with this
Answer:
a and d
Step-by-step explanation:
pls mark brainliest
A man starts out on a trip driving his car at a constant rate of 48 mph. A man riding a motorcycle starts out on the same route 1.5 hours later, traveling at a constant rate of 64 mph. How long will the car have been traveling when the motorcycle catches up?
Answer:
6 hours
Step-by-step explanation:
Jeremiah is 68 inches tall. This is ten inches less than three times Kyle’s little brothers height. How tall is Kyle’s little brother?
Help, please. I will give brainliest to anyone that answers first.
Answer:
5000 I think bc 5 times 1000 is 500
Answer:
Step-by-step explanation:
1000 meter = 1 kilometer
1 km= 1000 meter
constant proportionality
y/x=k
y is km , x is meter
1/1000=k
y=1/1000 x (x is the number of meters)
meter Km
250 0.25
12 12/1000=0.012
1 1/1000
kilometer meter
5 5000
20 20000
0.3 300
I don’t get it !!! Do I multiply by 4 to get the answer? Please show your work!
Answer:
Im not sure. but isnt the answer 15
Step-by-step explanation:
Because to find the shaded amount you would do 3x5 and get 15.
Answer:
I'm not sure tbh but I'm pretty sure the answer is 15
Step-by-step explanation:
PLEASE HELP ME BRO LITERALLY ANYONE OUT THERE, COMEEE ON
Which statement must be true?
Answer:
The first option 3~=6
Step-by-step explanation:
The two angles are alternate interior which means the angles are congruent
Answer:
The first option.
That is true because <3 and <6 are vertical angles. You can test this by replacing <3 with angle <1, which are equal. Then you can see <3 is equal to <6. So the first option must be true.
Hope this helps.
2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descends 6 ½ feet. B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees.B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees. C. A carbon atom has 6 negatively charged electrons and 6 positively charged protons. D. A person has a bank balance of negative $325.50 and makes a withdrawal of $325.50. E. B and C only
Answer: B and C only
Step-by-step explanation:
The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees
Initial temperature = 0
Temperature rise = 4
Fall in temperature = - 4
(Initial temperature + rise in temperature + fall in temperature)
Summing all : (0 + 4 - 4) = 0
carbon atom has 6 negatively charged electrons and 6 positively charged protons.
Net charge of atom :
(number of proton + number of electrons)
( 6 + (-6)) = 0
A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35 teaspoons of blue paint, how much red paint would you need? Complete the double number line below to find the amount of red paint and circle this ratio.
Answer:
87.5 teaspoons
Step-by-step explanation:
Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.
So, Purple paint : Blue paint = 6 :15
To make the same shade the ratio of purple and blue paint must be the same.
In the new mixture, the amount of purple paint =35 teaspoon.
let the amount of red paint =x teaspoon.
So, in the new mixture,
Purple paint : Blue paint = 35 : x
So, to make the same shade, the ratio of purple and red paint must be the same, i.e
35 : x = 6 :15
[tex]\Rightarrow \frac {35}{x}=\frac{6}{15}[/tex]
[tex]\Rightarrow x={35\times15}{6}=87.5[/tex]
Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.
A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones? $1,400 $1,600 $1,700 $1,800
Answer:
The minimum cost for the transportation for the field trip is $1700
Step-by-step explanation:
Let x be the no. of large buses and y be the no. of small buses
Number of students in large bus = 60
Number of students in x large buses = 60x
Cost of 1 large bus =$300
Cost of x large buses = 300x
Number of students in small bus = 45
Number of students in y small buses = 45y
Cost of 1 small bus =$200
Cost of y small buses = 200y
Cost = 300x+200y
We are given that A school district needs to arrange transportation for at least 360 students
[tex]60x+45y \geq 360[/tex]
The district only has chaperones for, at most, seven buses.
[tex]x+y \leq 7[/tex]
Plot the lines on graph
[tex]60x+45y \geq 360[/tex] --- Black region
[tex]x+y \leq 7[/tex] --- Red region
Feasible points :
At(3,4)
Cost = 300x+200y=300(3)+200(4)=1700
At(7,0)
Cost = 300x+200y=300(7)+200(0)=2100
At(6,0)
Cost = 300x+200y=300(6)+200(0)=1800
So, The minimum cost for the transportation for the field trip is $1700
Answer:
1700
Step-by-step explanation:
2020 edge
Triangle ABC is translated 4 units down and 6 units right, resulting in triangle A'B'C'.
What are the coordinates of the point B'?
A. (-6,7)
B. (-1,6)
C. (4, -3)
D. (6,-1)
Answer:
The new coordinate of B' will be ( -1, 6)
The translated coordinate of the point B' will be (-1,6).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the coordinates of point B of the triangle are (1,6). The translated coordinates will be,
B = ( 3, 0 )
Translated 4 units down and 6 units right,
B' = ( 3 - 4 , 0 + 6 )
B' = ( -1, 6 )
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HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
SHOW THE WORK BRO PLEASEEEE
What is the value of x?
Answer:
14
Step-by-step explanation:
∠AOB is a straight angle, meaning that it is 180°. Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.
∠AOC + ∠COD + ∠DOB = ∠AOB
(5x) + (3x + 30) + (2x + 10) = 180
5x + 3x + 30 + 2x + 10 = 180
10x + 30 + 10 = 180
10x + 40 = 180
10x + 40 - 40 = 180 - 40
10x = 140
10x/10 = 140/10
x = 14
Solve for I.
-30 = 5(x + 1)
Answer:
x or I=-7
Step-by-step explanation:
In ΔFGH, the measure of ∠H=90°, GF = 37, HG = 12, and FH = 35. What ratio represents the sine of ∠F?
Answer:
[tex]\frac{HG}{FG}[/tex] or [tex]\frac{12}{37}[/tex]
sin= opposite over hypotenuse
The ocean exploration institute has a submarine that is used to study patterns of fish moment the submarine started at the surface of the water and collected data at three different depths each time the submarine dove 40 feet down write an integer equation to model the situation and determine the lowest depth of the submarine
Answer:
120 feet
Step-by-step explanation:
Given that the submarine started at the surface of the water and collected data at three different depths.
As each time the submarine dove 40 feet down, so,
the depth covered in one dive = 40 feet.
From the surface, the depth covered in 1 drive, [tex]d_1= 40[/tex] feet
Similarly, the total depth covered in 2 drive, [tex]d_2 = 2\times 40= 80[/tex] feet.
So, for any integer [tex]n[/tex], the depth covered in [tex]n[/tex] drive,
[tex]d_n=40n[/tex]
This is the required integer equation to model the situation.
Since, for three different depths, there must be 3 drive and the submarine will be at the lowest depth after 3rd dive.
So, for the lowest depth, n=3
Hence, the lowest depth = 40x3= 120 feet.
Which graph shows four points that represent equivalent ratios?
Answer:
b
Step-by-step explanation:
Only option b from the available options represents equivalent ratios.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not.
The function of a line that shows the equivalent ratio always goes through the origin point of a cartesian plane.
The general form of the equation that shows the equivalent ratio:
Y = MX
Where M is Slope
therefore, From the given Options only option b is representing equivalent ratios.
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Complete Question:
Jon is stuck on the side of a cliff. Jon is at the midpoint from the ground to the top of the
cliff. Jon is 40 + 2 feet away from the bottom of the cliff. The cliff is 200 feet tall.
Solve for x.
How far is Jon from the top of the cliff
Complete question is;
Jon is stuck on the side of a cliff. Jon is at the midpoint from the ground to the top of the cliff. Jon is 40 + 2x feet away from the bottom of the cliff. The cliff is 200 feet tall.
Solve for x.
How far is Jon from the top of the cliff
Answer:
x = 30 ft
Jon is 100 ft from the top of the cliff
Step-by-step explanation:
We are told that Jon is at the mid point of the Cliff.
Since The cliff is 200 feet tall, the Jon is; 200/2 ft = 100 ft from either the top or bottom.
Now, we are told that Jon is 40 + 2x from the bottom of the cliff.
Thus;
40 + 2x = 100
Subtract 40 from both sides;
40 - 40 + 2x = 100 - 40
2x = 60
x = 60/2
x = 30 ft
And Jon is 100 ft from the top of the cliff as earlier seen
Dolly earns $6.40 per hour. She worked 28.25 hours last week. How much did Dolly earn last week?
Answer:
180.8
Step-by-step explanation:
multiply 6.40 with the hour 28.25
Hope this helps!
10 x = − 19 Give your answer as an improper fraction in its simplest form.
Answer:
10/19
Step-by-step explanation:
Answer:
-19/10
Step-by-step explanation:
10x= - 19
divide 10 by each side to get -1.9
convert -1.9 to a fraction -1u9/10
then convert it to an improper fraction -19/10
hope this helps;)
I need help in this before 11:59 please
Step-by-step explanation:
√7 * √7 = 7 , which is not a irrational number