Option D
for the (x-2) we move to the right 2 and for the +4 we go up 4
The transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.
How to determine the transformation?The functions are given as:
Transformed function: g(x)=log(x−2)+4 Parent function f(x)=log(x)Translate the parent function 2 units right
This gives
f'(x) = log(x - 2)
Translate the function 4 units up
This gives
f''(x) = log(x - 2) + 4
So, we have:
g(x) = f"(x)
The above means that the transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.
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Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation
Answer:
y = 3x + 1
Step-by-step explanation:
Answer: y = 3x + 1
Step-by-step explanation:
Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.
For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).
Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.
To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.
Plug in 1 for b and you end up with y = 3x + 1
help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
ford would be 250 in metres and the decimal would be the smallest
jerry, Simon, curst, carl, ford
876,198 rounded to the nearest thousand
Your answer should be 876.
Answer:
876,000
Step-by-step explanation:
876,000
james has a rope that is 7 1/2 meters in length. He must cut the rope into 1/2 meter strips for a home improvement project he is working on. How many 1/2 meter strips can he cut?
Answer:
He can cut 15 1/2 meter strips.
Step-by-step explanation:
10 1/2 meter strips are 5 meters in length.
5 1/2 meter strips are 2.5 meters in length.
5 + 2.5 = 7.5 meters in length
-12=24+b how do I solve this
Answer:
b = -9
Step-by-step explanation:
-12 = 24 + 4b [tex]\longmapsto\\[/tex] Subtract 24 from both sides
-12 - 24 = 24 + 4b - 24
-36 = 4b [tex]\longmapsto\\[/tex] Divide all sides by 4
-36 ÷ 4 = 4b ÷ 4
-9 = b
-Chetan K
Answer:
-9 = b
Step-by-step explanation:
-12 = 24 + 4b
-12 - 24 = 4b
[tex]\frac{-36}{4} = \frac{4b}{4} \\[/tex]
Hope this helps!
if a pool is 20,000 gallons and when the hose is placed in the pool to start filling up there are already 5000 gallons in there. The pool is filling up at a 1250 gallons per hour rating. how long would it take to fill up?
Answer:
12 hours
Step-by-step explanation:
what is the formula for calculating midpoint
The intersection of a line segment's two endpoints is known as the midpoint. From the midpoint to one endpoint and the midpoint to the other endpoint, you will be given two equal distances.
The formula for calculating the midpoint is given below:
[tex] \boxed{ \bold{ \: \: M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg) \: \: }}[/tex]For example, let us try solving this sample problem below using the midpoint formula:
Sample problem: A new transmission tower will be put up midway between two existing towers. On a map drawn on a coordinate plane, the coordinates of first existing tower are (-5, -3) and the coordinates of the second existing tower are (9, 13). What are the coordinates of the point where the new tower will be placed?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-5, -3) [/tex][tex]\sf (x_2, y_2) = (9, 13) [/tex]Substitute the given values into the midpoint formula and solve for M:
[tex]\sf M = \bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\bigg)[/tex][tex]\sf M = \bigg(\dfrac{-5 + 9}{2}, \dfrac{-3 + 13}{2}\bigg)[/tex][tex]\sf M = \bigg(\dfrac{4}{2}, \dfrac{10}{2}\bigg)[/tex][tex]\sf M = (2, 5)[/tex]Therefore, the coordinates of the point are (2, 5).
[tex]\\[/tex]
Now, wasn't that easy? Try this other sample problem:
The endpoints of a segment are (-5, 2) and (9, 12), respectively. What are the coordinates of its midpoint?From the sample problem above, you may solve it on your own to enhance your skill on calculating the midpoint.
Cheers!
Solve (x-1)(x+5)=0 using zero product property
What is the easy way to do fractions to decimals.
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.
Find the monomial if the expression is a cube of that monomial (find the cube root)
-27/64a^9b^6
-0.0001a^3n+3
I can't figure this out and need helppppppppp
Answer:
first one is -3/4a^3b^2
Step-by-step explanation:
i dont know the second one and i need help on that one too im sorry
The monomial of the functions are;
1. - 3/4 a³b²
2. - 0.1 aⁿ⁺¹
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
the expression are;
1. - 27/64 a⁹b⁶
2. - 0.001 a³n³ⁿ⁺³
Now,
Solve the expression as;
1. - 27/64 a⁹b⁶
Take cube root, we get;
∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²
= - 3/4 a³b²
And, - 0.001 a³n³ⁿ⁺³
∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹
= - 0.1 aⁿ⁺¹
Thus, The monomial of the functions are;
1. - 3/4 a³b²
2. - 0.1 aⁿ⁺¹
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YES I Am GIVING A BRAINLIST pls be accurate
One equation in a system of equations is y = 4x + 5. Which equation below would have to be the second equation so that the system has (1, 9) as its only solution?
Question 5 options:
y = 3x - 1
y = 5x + 4
y = -2x - 8
y = 6x - 8
Answer:
y = 5x +4
Step-by-step explanation:
x has to equal 1
y = 5(1) +4 = 9
STATION 5 ! GIVING BRAINLIEST TO WHOEVER ANSWER W AN GREAT EXPLNATION<3
Answer:
a.
Step-by-step explanation:
Answer:
A, B, E
Step-by-step explanation:
I just put the number of fiction books over the number of nonfiction books. Then I plugged it into a calculator and if the answer was the same as 15/22, then it was right!
2385/3498=15/22
3945/5786=15/22
2340/3588≠15/22
2480/3410≠15/22
4650/6820≠15/22
2310/3696=15/22
Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?
The first digit of the whole- number quotient will be in the hundred place.
To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;
Round up 572 to 1 significant figure. The value expressed as one significant figure is 600.Since the divisor is a unit value, we will not be rounding it up.Take the quotient of 600 and 4.[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]
From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)
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Help please just this I will mark someone's answer the brainliest if they answer correctly.
3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late. B. Make an equation to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.
Answer:
a. f = 3.50 + 0.15d
b. please see the analysis
Explanation and graph given in the picture
I hope it helps.
30 POINTSSS PLEASE HELPP!!!!
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Answer:
Short leg: 7cm
Long leg: 7√3
Step-by-step explanation:
This is a 30 60 90 triangle.
Picture shows how to solve.
what is the answer??
Answer:
D) 39
Step-by-step explanation:
There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.
First step, find g(8):
g(x) = 3x - 2
When x = 8,
g(8) = 3(8) - 2
Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:
g(8) = (3 * 8) - 2
g(8) = (24) - 2
g(8) = 22
Next step, find g(-5):
g(x) = 3x - 2
g(-5) = 3(-5) - 2
g(-5) = (3 * -5) - 2
g(-5) = (-15) - 2
g(-5) = -17
Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:
22 - (-17) = 22 + 17 = 39
D) 39 is your answer.
~
2.
Find the slope of the line that passes through the points (4,2) and (4,10)
Answer:
The slope is unidentified
Step-by-step explanation:
The equation of the line is x=4
What is the solution to the equation 1/4x−3/4=1/2, given the replacement set {−1, 1, 5} ?
Answer:
x=5
Step-by-step explanation:
I took the test. Hope this helps
The solution of the given equation is when the x = 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}
First, substitute the values from the given set;
When x = -1
1/4x−3/4=1/2
1/4(-1) − 3/4 = 1/2
-1/4 - 3/4 = 1/2
-4/4 = 1/2
-1= 1/2
This is not the solution to the given equation.
When x = 1
1/4x−3/4=1/2
1/4(1) − 3/4 = 1/2
1/4 - 3/4 = 1/2
-2/4 = 1/2
-1/2 = 1/2
This is not the solution to the given equation.
When x = 5
1/4x−3/4=1/2
1/4(5) − 3/4 = 1/2
5/4 - 3/4 = 1/2
2/4 = 1/2
1/2 = 1/2
This is the solution to the given equation.
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Determine the intervals of the domain over which the function is continuous.
A) (-infinity,0]
B) [0,infinity)
C) (-infinity, infinity)
D) (0,infinity)
The intervals of the domain over which the function is continuous is - option (C) (-infinity, infinity).
A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks. If some function f(x) satisfies these criteria from x=a to x=b, for example, we say that f(x) is continuous on the interval [a, b]. The brackets mean that the interval is closed -- that it includes the endpoints a and b. In other words, that the interval is defined as a ≤ x ≤ b. An open interval (a, b), on the other hand, would not include endpoints a and b, and would be defined as a < x < b.
we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
So the the intervals of the domain over which the function is continuous is (-infinity, infinity) .
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CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
i think its 150
Step-by-step explanation:
Please tell me if it’s a right triangle or not ( ಥ _ ಥ )
6, 7, 8
10,20,30
16,18,82
22,42,60
Calculate the slope of the line for Graph B.
Answer:
-1
Step-by-step explanation:
rise = -2
run = 2
Slope = rise / run
= -2/2 = -1
Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .
Answer:
Slope = -1
Step-by-step explanation:
You are provided with two points on the line (-5, 7) and (1,1).
[tex]Slope = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
[tex]Slope = \frac{7-1}{-5-1} =\frac{6}{-6} =-1[/tex]
❤️WILL REPORT BOTS❤️
Describe function transformations KT8
What kind of transformation converts the graph of
f(x) = 3x - 9
into the graph
of g(x) =-3x - 9?
Answer:
The answer is reflection on the y-axis
Step-by-step explanation:
Reflection on the x-axis will change the y-intercept
Horizontal shrink will change the slope but not to the point of making the 3 negative
Horizontal stretch is the same concept
Thus Reflection on the y-axis on the y-axisis the answer
Hope this helps!
100 POINTS IF U GET THIS RIGHT!
Answer:
Step-by-step explanation:
y=-2x - 7/6 .............1
By using the slope-intercept form:
y=mx+c ............2
By comparing equations 1 and 2:
m = -2
If you need to ask any questions, please let me know.Please help me with this homework
Answer:
B) y=3x-2
Step-by-step explanation:
The y-intercept would be -2, as you can see on the graph. Also, the slope would be 3. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Now you can plug in with numbers. y=3x-2.
Answer:
Is the answer you put correct? if not, i'll put it down underneath step-by-step.
If you're trying to find the y-intercept (its helpful), go to the 0 on the graph and try to find where the crosses (hint: y=-2). I think b is correct, either b or d. because y=-2 and those two only have 2 in them. Happy to help if i did!
You can give the other one brainliest
I am Stuck on this Math Question on Angles
So there is this math question im stuck on and I was wondering how to solve it and the answer for this problem
The problem consists of two parralel lines and a triangle but there are exterior angles im trying to find the angle of but I simply cannot
I will provide a picture for you guys to see
Thank you and have a good day :)
HELP AWARDING BRAINLIEST
Answer:
Either 2.34 or 2.345
Step-by-step explanation:
Does the point (5, -1) lie on the line 2y + 3x = 13?
Answer: Yes
Step-by-step explanation:
You can find out by inputting your values
2y + 3x = 13
x = 5
y = - 1
2(- 1) + 3(5) = 13
- 2 + 15 = 13
13 = 13
plz help for brainliest
Answer:
Yes it is an isosceles triangle
Step-by-step explanation:
We just need to see if the distance between two points is the same as the distance with two others
Distance between AB = (4 -(-1))² + (7 - 2)² = c²
5² + 5² = c²
25 + 25 = c²
c = √50
Distance between AC = (11-(-1))² + (8 - 2)² = c²
12² + 6² = c²
144 + 36 = c²
180 = c²
c = √180
Distance between CB = (11-4)² + (8 - 7)² = c²
7² + 1² = c²
49 + 1 = c²
50 = c²
c = √50
Hence, this is an isosceles triangle because AB and CB are congruent in length.
-Chetan K
We need to verify if any of two sides are equal then it is an isosceles triangle.
Refer to the attachment now
pls help!!!!
Sandra uses 6.39 ounces of beans in a recipe. If she triples the recipe, how many ounces of beans will Sandra need?
Answer:
19.17 ounces
Step-by-step explanation:
If she uses 6.39 ounces for 1 recipe and she wants to "triple" the recipe we then know that triple also means 3 times.
Due to that fact we now know what our equation is:
6.39 x 3 which equals 19.17
I hope this helps have great day :)
Answer: 19.17
Step-by-step explanation: 6.39 x 3 = 19.17