Answer:
5+2x
Step-by-step explanation:
Answer:
5 + 2x
Step-by-step explanation:
Determine the transformations that produce the graph of the functions g(x)=0.2log(x+14)+10 and h(x)=5log(x+14)−10 from the parent function f(x)=logx. Then compare the similarities and differences between the two functions, including the domain and range.
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.
23 teachers at a school take the car to work. Some of the teachers
travel in the same car. Fill in the frequency missing from the table.
Number of Teachers in the car Number of cars (Frequency)
1 x
2 5
3 2
The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint: combine the 2 angles and set equal to 90
Angle A = 3x - 10
Angle B = x
Their angle sum = 90° ( complementary angles form 90° )
This can be written in an equation as =
= 3x - 10 + x = 90
= 3x + × + ( -10 ) = 90
= 4x + (-10) = 90
= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )
= 4x = 100
= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )
= x = 25
Angle A = 3x - 10
= 3 × 25 - 10
= 75 - 10
= Angle A = 65°
Angle B = x = 25°
Their sum = 65 + 25 = 90°
Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .
How much is 200 tens
Answer:
if you're sating 200 tens(10), then it equals 2000
Step-by-step explanation:
because you'd multiply them, and 200 times 10 equals 2000.
and if you ment 200 ton, the it's 400000. because a ton is 2000, so 200 times 2000 equals 400000
Does this represent a function?
y^2 = 16 – 4x^2
When you mix two colors of paint in equivalent ratios, the resulting color is always the same.
Use the table below to help you answer the following question.
How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?
15= 3x−15 what is x?
Answer:
x = 10
Step-by-step explanation:
Original Equation:
15 = 3x - 15
Add 15 to both sides
30 = 3x
Divide both sides by 3
10 = x
Hope this helped :)
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x = 10
All you have to do is add 15 to both sides, and you have
30 =3x
and divide by 3
you get
10 = x
3 + 15 + 3
- 4 2
I need help figuring this out
Answer:
3+15+3-42
=18+3-42
=21-42
=-21
One solution to a quadratic equation is x= -5/3 What is true about any remaining solutions?
There are two or more complex solutions.
There is exactly one more real solution.
There is exactly one complex solution.
There are no complex solutions.
There are no other real solutions.
There are at least two more real solutions.
thers more than one answer i believe but im completely lost
Answer:
There is exactly one more real solution or there is exactly one more complex solution
Step-by-step explanation:
A quadratic equation is a polynomial of degree two
What this means is that a polynomial has two answers.
Now, from the question, we have an answer already which is a real root
Then the other answer which we do not have can take the form of two answers
It can either be a complex root or other wise be a real root
So the answer to this question is that ;
There is exactly one more real solution or there is exactly one more complex solution
please help! i have no clue what i am looking at.
what is the solution to -5x > 15
-5x > 15
Divide both sides by -5
x < -15/5
Simplify
x < -3
One car rental company charges $30 per day plus $0.25 per mile driven. A second company charges $40 per day plus $0.10 per mile driven. What is the minimum number of miles you must drive a one-day rental at the second company to be less expensive than the same rental at the first company?
Answer:
66.67=67mi.
Step-by-step explanation:
plz help me because I need it
Answer:
C
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
51
Answer: x=
Submit Answer
attempt 1 out of 2
Answer:
x = 39°
Step-by-step explanation:
The triangle shown is a right angle triangle having angles 90°, 51° and x°.
Sum of interior angles of a triangle = 180°, therefore:
[tex] 90 + 51 + x = 180 [/tex]
Add like terms
[tex] 141 + x = 180 [/tex]
Subtract 141 from each side
[tex] 141 + x - 141 = 180 - 141 [/tex]
[tex] x = 39 [/tex]
x = 39°
True or false
Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.
Answer:
im pretty sure its true
Step-by-step explanation:
so sorry if its wrong, hope it helps!
straws are sold in packs and boxes
there are 15 straws in each pack
there are 48 straws in each box
Tricia buts p packs of straws and b boxes of straws
write down an expression in terms of p and b for the total number of straws bought by Tricia
Ms. Chang fills gum and trinket machines in front of grocery stores. In the trinket machine, there are two types of trinkets: lockets and stickers. If Ms. Chang puts 15 lockets and 25 stickers in an empty machine, what is the ratio of stickers to all the trinkets in the machine?
Answer:
3:5
Step-by-step explanation:
the initial ratio is
15:25
we can divide both numbers by five though
15/5=3
25/5=5
3:5
I hope this helped :)
Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. How far apart are Jim and Jennifer?How far apart are Jim and Jennifer?
Answer:
37ftStep-by-step explanation:
step one;
In this problem, we are expected to solve for the distance between Jenifer and Jim
given that
Jennifer is 29ft above and
Jim is 8ft bellow
step two:
the distance between them can be calculated as
distance= 29+8
distance=37ft
What is the value of h(3)?
Answer:
1
Step-by-step explanation:
The value of h(3) basically means what y-value does the function h have when x=3 ?
Looking at the graph, when x is 3, the y value is 1.
h(3)=1
A market buys mixed nuts at $12.50 per pound. They want to make a 22% profit. What should they charge for retail price? Please help I’m begging!
Answer:
the answer is 15.25/lbs
Step-by-step explanation:
you just plug in 1.22 (12.50) pls vote if my answer was right
Answer:
$15.25
Step-by-step explanation:
Divide 12.50 by 100 to get 0.125
Multiply 0.125 times 122 to get 15.25
You divide by 100 to get 1% of what $12.50 is, then multiply that by 122 to get $12.50 + a 22% profit.
Finally, just add your units to get the answer of $15.25 per pound.
Determine the missing y value if the slope of a line is 4/3 and the line passes through the points (5,x) and (2,-3)
Answer:
x = -7
Step-by-step explanation:
Given parameters:
Slope of the line = [tex]\frac{4}{3}[/tex]
Coordinates = (5,x) and (2,-3)
Unknown:
X= ?
Solution:
To find slope, use the expression below;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
y₂ = -3 y₁ = x
x₂ = 2 x₁ = 5
[tex]\frac{4}{3}[/tex] = [tex]\frac{-3 - x}{2 - 5}[/tex]
3(-3-x) = 4(-3)
-9 -3x = 12
-3x = 21
x = -7
Help me please ^_^!!!
Answer:
I'd say the answer is A or B
Step-by-step explanation:
Since the colonists overtime had so many laws passed over that were cruel and unfair they went against the British with acts like the Tea Act which were preformed to turn against the British. (sorry if im wrong ^-^)
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
The area of rectangle ABCD with the given vertices is: 8 units².
What is the Area of a Rectangle?Area of rectangle = (length)(width).
Given the following vertices:
A(-2, 2)B(6, 2)C(6, 3)D(-2, 3)Area = (length)(width) = (AB)(BC)
AB = |-2 - 6| = 8 units
BC = |2 - 3} = 1 unit
Area of rectangle = (8)(1) = 8 units².
Learn more about area of rectangle on:
https://brainly.com/question/25292087
#SPJ1
Answer: 8
Step-by-step explanation:
The diameter of a circle is 3 1/2m, what is the radius?
Answer:
1,75 m
Step-by-step explanation:
The radius is by definition half of the diameter and so the half of 3.5 m is 1.75 m
Answer:
1.75m
Step-by-step explanation:
d=3 ½
r=d÷2
so 3 ½ ÷ 2= 1.75
Can someone please help me
Answer:
z
Step-by-step explanation:
−2+(−7)? help me what is the answer please help.
Answer:
-9
Step-by-step explanation:
-2 + (-7) = -2 - 7-2 - 7 = -9I hope this helps!
Answer:
-9
Step-by-step explanation:
Please make me Brainliest
what is the sum of the two smallest multiples of 6 that are greater than 103
Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where r is the amount spent on rent and m is the number of months she stays in the apartment. What is the constant of proportionality (r to m) for this proportional relationship?
A.
B.
C.
177.5
D.
355
answer is c because if it's not a and b then the only answers will be c and d and d is the same as the number so it's c
Benjamin is planning to make scale drawings of bat wings. He wants all of his drawings to use the same scale. He says he can use the equation d=1.5w to find the length of a scale drawing, d, based on the length of the bat wing, w. What is fhe scale factor of a bat wing length to scale drawing length? Explain.
Answer:
[tex]1.5[/tex] is the scale factor of a bat wing length to scale drawing length.
Step-by-step explanation:
A scale factor is a number which multiplies (scales) , some quantity. In the equation [tex]y=kx[/tex], [tex]k[/tex] is the scale factor for [tex]x[/tex]. Here, [tex]k[/tex] is called as the constant of proportionality of [tex]y[/tex] to [tex]x[/tex].
Consider the equation [tex]d=1.5w[/tex]
Here, d denotes the length of a scale drawing and w denotes the length of the bat wing.
So,
[tex]1.5[/tex] is the scale factor of a bat wing length to scale drawing length.
Plsss helppppssssss me :< and explain thatttttt
Answer:
you need to take a better picture nobody can see that i not trying be be rude
Step-by-step explanation:
Answer:
upload clear picture, it is very easy
Step-by-step explanation: