The function g(x) is (|x-4| +1)/3.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The graph is compressed vertically, or shrunk, in the direction of the x-axis. If k > 1, the graph of y = k*f (x) is the graph of f (x) that has had each of its y-coordinates extended vertically by the factor k.The function f(x) is defined as |x-4| +1. To vertically shrink the graph of f(x) by a factor of 3, divide the function by 3.g(x) = f(x)/3g(x) is equal to (|x-4| +1)/3.To learn more about functions, visit :
brainly.com/question/12431044
#SPJ9
Solve the formula for the specified variable.
V=BMK for B
The formula for the 'B' variable is V/MK
How to determine the expressionTo solve for the variable B is to make it the subject of formula.
Subject of formula is the variable that is expressed in terms of the other variables in a given formula, expression, function or equation.
Example;
In the equation, 2x + y = 4, let's make 'y' the subject of formula
y = 4 - 2x
Given the expression;
V=BMK
To make 'B' the subject, we need to divide both sides by the coefficients of B, we have;
V/MK = BMK/MK
B = V/MK
Thus, the formula for the 'B' variable is V/MK
Learn more about subject of formula here:
https://brainly.com/question/10643782
#SPJ1
question 14: please help asap !!!!
Answer:
practice to do your self
The graph of the curve C with equation y = f(x) is transformed to give
the graph of the curve S with equation y = f(-x) - 5
The point on C with coordinates (8, 3) is mapped to the point Q on S.
Find the coordinates of Q
Answer:
(-8,-2)
Step-by-step explanation:
f(-x) - 5 is horizontally reflected and moved down 5 units from f(x)
So first reflecting we get
(-8,3)
Then moving down 5 units we get
(-8.-2)
if this was helpful pls give me brainliest <3
can someone help me with this?
thank you so much! :)
Step-by-step explanation:
it seems there is some trick question involved.
we find such answers by putting a horizontal line through the y points and see, where the horizontal line is intersecting the function graph and go straight down to the x-axis to see the value of x for that y value.
the horizontal line through y = -1.5 does not intersect at all.
so, in one hand the answer is "no solution".
but on the other hand, we could assume that the function graph continues further to the right (and down).
and then the intersection point would be
(7.5, -1.5),
and the corresponding x = 7.5.
for y = 0 the horizontal line is the x-axis itself. so, for what values of x does the x-axis intersect the function curve ?
at x = -3, and at x = 6.
for y = 2 the corresponding horizontal line is intersecting the function curve at
x = -2.125 (it looks like it is at the half of the half of the half unit as the grid unit left of -2, so it is -2 - 1/2³ = -2 1/8 = -2.125)
x = 0.5
x = 4 (it just touches the tip of the curve there)
for y = 2.5 there is truly no solution. that horizontal line does not intersect the function curve at any point.
List a and b for each of them
1) The intersection of sets A and B is; A ∩ B = {1, 3}
2) The complement of set A is; A' = {4, 5, 6, 9, 10}
How to interpret Mathematical Sets?
We are given the sets;
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 7, 8}
B = {1, 3, 9, 10}
1) The intersection of sets A and B simply means the numbers that are common to both sets. Thus;
A ∩ B = {1, 3}
2) The complement of set A is defined as the set that contains the elements present in the universal set but not in set A. Thus;
A' = {4, 5, 6, 9, 10}
Read more about Mathematical Sets at; https://brainly.com/question/2166579
#SPJ1
Missing value of principal when rate is 12% and time is 5 years will simple interest is $87
The principal is $145 .
Simple interest is the interest amount for a particular principal amount of money at rate of interest. The interest is calculated by multiplying the principal with the time and rate. The total amount after a certain time is given by the sum of the principal and the interest for that time.
The formula for calculating the Interest on a Principal(P) , time(t) and rate(R).
Interest=P×R×t
Now let us consider the principal to be P.
Time(t)=5 years
Simple Interest(I)=$87
Rate(R)=12%=0.12
Now let us find the principle for the this interest using the above formula.
I=P×R×t
Substituting the given values we calculate the Principal(P).
[tex]87=P\times0.012\times5\\or,P=87\div(0.012\times5)\\or,P=87\div0.6\\or,P=145[/tex]
Therefore the Principal for the simple interest of $87 for 5 years at rate of 12% is $145.
To learn more about principal and simple interest:
https://brainly.com/question/25845758
#SPJ9
Write a rule to describe each transformation please I need help asp
Answer:
The figure is reflected over the line x = -2
Step-by-step explanation:
If you drew a vertical line at x = -2, you would see that each point is the same distance from x = -2 but on the right side. E and E' are the same point because they are on the line x + -2. Point D is 3 units to the left of x = -2 for D' is 3 units to the right of x = -2 and so one
10.
7
TR
Connect to Everyday Life Compare
the door's height to the desk's height
using multiplication and addition.
8 ft
2 ft
Using proportions and multiplication, it is found that the door's height is 4 times greater than the desk's height.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The ratio between two amounts a and b is the proportion of a to b, that is, the division of a by b.
For this problem, we have that:
The door's height is of 8 ft.The desk's height is of 2 ft.8/2 = 4, hence, the door's height is 4 times greater than the desk's height.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
The graph of a normal curve is given. Use the graph to identify the value of and . μ sigma
From the given graph the value of μ is 530 and the value of σ is 15.
In the Normal Curve the value at which the shape of the graph is highest is called it's mean(μ) and the value on the left of mean is μ-σ and the value on the right of the mean is μ + σ .
In the Given question
the shape of the graph is highest at 530,
hence the value of mean(μ) = 530. ....(i)
we know that the value on the left of mean is μ-σ .....(ii)
From the graph the value to the left of mean(μ) is 515. ...(iii)
Equating equation (ii) and (iii) we get ,
μ-σ = 515
Substituting the value of μ from equation (i) we get ,
530 - σ = 515
σ = 530 - 515
σ = 15
Therefore , From the graph the value of μ is 530 and the value of σ is 15.
Learn more about Normal Curve here
https://brainly.com/question/27978164
#SPJ1
Wilson has a number in mind. If he takes away one-third of the number from it the
result is 10. Find the number.
hi
if he takes 1/3 , then remains 2/3
then 2/3 X = 10
X = 10 / 2/3
X = 10 * 3/2
X = 30/2
X = 15
let's check :
1/3 of 15 = 15/3 = 5
15 -5 = 10
all macth, so answer is correct
See the picture below, please
Answer:
n is 1/3
Step-by-step explanation:
if u solve the problem normally then it gives 0/0 form so
x(2x^2-1)/3x cross out the numerator and denominator x and x from 3x then keep 0 in place of x.
(2 x 0 ^2-1)/3 = -1/3
since the function is continuous at x = 0 so n = -1/3
A tringle is shown.
The triangle is translated 8 units to the left, then reflected over the x-axis.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.
please answer question in the picture
PLEASE I NEED HELP AND DONT UNDERSTAND ITS DUE TODAY! PLEASE SHOW STEP BY STEP! thanks!
The number of line segments in the 100th pattern is equal to 201 line segments.
What is the pattern behind the construction of equillateral triangles?
Triangles are polygons with three sides of equal length, herein we find constructions elaborated with equilateral triangles, in which two new line segments are added when an equilateral triangle is so. Then, the number of line segments can be modelled after the following linear progression formula:
n = 3 + 2 · (n - 1)
Where n is the number of equilateral triangles in the pattern.
If we know that n = 100, then the number of line segments is:
n = 3 + 2 · (100 - 1)
n = 3 + 2 · 99
n = 3 + 198
n = 201
The number of line segments in the 100th pattern is equal to 201 line segments.
To learn more on arithmetic series: https://brainly.com/question/10396151
#SPJ1
PLS ANSWER ASAP
Solve for g. − 3 + 5 + 6 g = 11 − 3 g
Use the given point, P, on the unit circle to find the value of sine and cosine of t. Answer exactly.
sin(t)
P is at the point (0, - 1).
cos(t)
=
=
Get Help: eBook
19,731
P
Points possible: 1
This is attempt 1 of 5.
t
SEP 2
6
O)
a
Preview
Preview
♫
tv ♫
17 A
License
2
(((
Value of Sine and Cosine of T is -1 and 0 respectively.
According to the question statement, P is at the point (0,-1)
We are supposed to find the value of trigonometric ratios sine and cosine of T
Let Point P (0,-1)
[tex]x=0, y=-1[/tex] and radius r = 1
[tex]sin(t) = \frac{y}{r}\\sin(t)=\frac{-1}{1} \\sin(t)=-1[/tex]
Therefore, sine of t is -1
[tex]cos(t)=\frac{x}{r} \\cos(t)=\frac{0}{1} \\cos(t)=0[/tex]
Therefore, cosine of t is 0
Trigonometric ratios: Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle. Trigonometric ratios are therefore assessed in relation to sides and angles.To learn more about trigonometric problems, click on the link given below:
https://brainly.com/question/23130410
#SPJ9
The product of five and number, increased by 34 is 24. What is the number?
Answer:
The number is -2
Step-by-step explanation:
First let's turn this into an equation
5 times a number (we'll use x) + 34 = 24
5x+34= 24
Now to start solving the problem
First thing's first, let's carry over the 34 to the other side by subtracting 34 from both sides. This helps us try to get x by itself
5x+34 = 24
-34 -34
5x = -10
Now we just divide both sides by 5 to get rid of it entirely from the x
5x = -10
/5 /5
x = -2
Your number should be -2
We can also check by plugging -2 back into the equation for x
5 (-2) +34 = 24
-10 +34 = 24
24 = 24
Since they are both equal, -2 is really your answer
I hope this helps :)
Form an equation in x and solve
Answer:
x+(90°-0.5x)=3x
Step-by-step explanation:
Each of the two unknown angles in the triangle is 90°-0.5x because the triangle is isosceles.
So, by the exterior angle theorem, x+(90°-0.5x)=3x.
please help question is in picture
Answer:
It is the second answer [tex]3^{8} b^{10}[/tex]
Step-by-step explanation:
This is easier to understand if you write it out in expanded form.
[tex](3^{4} b^{5}) ^{2}[/tex] means
[tex](3^{4} b^{5})[/tex][tex](3^{4}b^{5)}[/tex] We do this twice because that is what the exponent tells us to do that is outside of the parentheses.
Now write this out in expanded form and we will have
(3x3x3x3xbxbxbxbxb)(3x3x3x3xbxbxbxbxb) If we put all of the 3's and b's together we get
3x3x3x3x3x3x3x3xbxbxbxbxbxbxbxbxbxb
[tex]3^{8} b^{10}[/tex]
the power of powers principle tells us that when we have an exponent raised to an exponent, we multiple the exponents. (4 x 2 = 8 and 5 x 2 = 10)
Express the following using the Roster Method.
O = {x|x∈ N and x is odd}
Step-by-step explanation:
the answer is o={3,5,79,11,13,15,17.....................}
A plastic page designed to hold trading cards will hold up to 7 cards. How many pages will be needed to store 513 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
The number of pages that would be needed to store 513 cards is (Simplify your answer)
Answer: 73 Pages
Step-by-step explanation: divide the cards by max cards in one plastic page aka
513 divided by 7 = 73
and a decimal but you cant have a decimal of an item ( if that makes sense)
All cookies are made with sugar Oreos are a cookie so Rosa knows Oreos are made with sugar
Is it Inductive or deductive
All cookies are made with sugar Oreos are a cookie so Rosa knows Oreos are made with sugar is Inductive.
A cookie is a compact, flat, and sweet baked or cooked snack or dessert. It is often made using flour, sugar, an egg, and some kind of oil, fat, or butter. Other components such as raisins, oats, chocolate chips, almonds, and so on may be used.
Sandwich biscuits with marshmallows or jam filling and often dipped in chocolate or another sweet coating, such as custard creams, Jammie Dodgers, Bourbons, and Oreos, are examples of biscuit or cookie varieties. Cookies are frequently served with liquids such as milk, coffee, or tea, and are occasionally "dunked," a method of releasing more flavor from confections by diluting the sugars and reducing their texture.
To know more about Cookies here
https://brainly.com/question/3379873
#SPJ1
Which is the graph of f(x)=√4x ?
Answer:
These are the type of graphs that equation would equal too.
Hope this helps! <3
........... what is a day of the week that you do not like? and why. Just curious!
In 7 days of a week, most of us do not like Monday because all the work starts again on monday after a weekend.
We need to tell the day in a week which we do not like in a week.
What is the first day of a week?Sunday is the first day of a week.
In a week there will be 7 days, sunday, monday, tuesday, wednesday, thursday, friday and Saturday. In this most of the people dont like monday because after a weekend the starting would be monday where one has to start the work.
Therefore monday is a day of week which i do not like.
To learn more on Week visit:https://brainly.com/question/18051939
#SPJ1
Review 16
Madison wrote a 6-digit number in her math
notebook and then subtracted the number from
689,142. She got a difference of 404,433. What is
the number Madison wrote?
A doctor administers a drug to a 34-kg patient, using a dosage formula of 55mg/kg/day. Assume that the drug is available in a 200 mg per 5 mL suspension or in 300 mg tablets. a. How many tablets should a 34-kg patient take every four hours? b. The suspension with a drop factor of 10 gtt/mL delivers the drug intravenously to the patient over a twelve-hour period, i.e the patient receives the daily dose over a 12 hour period. What infusion rate should be used in units of gtt/hr?
The patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.
Given that, a doctor administers a drug to a 34-kg patient, using a dosage formula of 55mg/kg/day.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of tablets should a 34-kg patient takes every four hours to be x.
Now, 55 × 34 = 1870 mg/day
For every four hours:
1870 × 1 /24 × 4 = 311.666
≈312 mg per 4 hours
So, x=312/4 × 1/300 = 78 × 0.0033
=0.26 tablet
Liquid suspension is for every 12 hours:
So, 312/12 × 1/200 = 26 × 0.005 = 0.13 mL
Hence, the patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
after a 27% reduction, you purchase a new painting for $146. what was the original price of the painting?
Answer:
$200
Step-by-step explanation:
At 27% reduction, we pay 100%-27%=73% of the original price O.
73% * O = $146
O = $146 / 73%
O = $2 / 1%
O = $2 / (1/100) = $2 * 100 = $200
Answer:
$ 200
Step-by-step explanation:
27 % off means you pay 73% ( or .73 in decimal)
.73 * x = 146 x = original price
x = 146/.73 = $ 200
the population in Smalltown was 3,187 in 2017 . 148 more people moved to smalltown. in 2018 . 219 more people moved to smalltown . what was the population of smalltown in 2018 ?
Answer:
3080983
Step-by-step explanation:
ihhueuhreuhefhuuufehuefefeh
Cody decreased the speed of his car by 3.5 miles per second over a period of 60 seconds Find the average change in speed each second
Answer:
Step-by-step explanation:
To get your answer, you would want to use the expression -3.5/60. So your answer will be -0.058.
what is the surface area of triangular pyramid?
Answer:
223.5 in²
Step-by-step explanation:
The surface area of a triangular pyramid comprises:
Area of the base triangle.Area of 3 congruent side triangles.Area of a triangle
[tex]\sf A=\dfrac{1}{2}bh[/tex]
where:
b = baseh = heightFrom inspection of the diagram:
Base triangle: b = 10 in, h = 8.7 inSide triangles: b = 20 in, h = 12 in[tex]\begin{aligned}\implies \textsf{Area of the base triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 8.7\\& = \sf 5 \cdot 8.7\\& =\sf 43.5\:in^2\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Area of a side triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 12\\& = \sf 5 \cdot 12\\& =\sf 60\:in^2\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{S.A. of the triangular pyramid} & = \textsf{base triangle}+\textsf{3 side triangles}\\& = \sf 43.5 + 3(60)\\& = \sf 43.5 + 180\\& = \sf 223.5\:in^2\end{aligned}[/tex]
Therefore, the surface area of the given triangular pyramid is 223.5 in².