The values of the piecewise function is g(1) = 3, g(2) = 1 / 2, g(3) = 1 / 4.
How to evaluate a piecewise function
Piecewise functions are functions consisting in two or more expression constrained by intervals. In this case, we find a piecewise function formed by three equations. In this exercise we need to evaluate the function, whose expression depends on the x-value to be used. There are three values to be evaluated:
x = 1
g(1) = (1 + 1)² - 1
g(1) = 2² - 1
g(1) = 4 - 1
g(1) = 3
x = 2
g(2) = - (1 / 4) · 2 + 1
g(2) = - (1 / 2) + 1
g(2) = 1 / 2
x = 3
g(3) = - (1 / 4) · (3) + 1
g(3) = - (3 / 4) + 1
g(3) = 1 / 4
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what is the multiplicative inverse of
3/5 - 4/27 + 5/18 is it okay if i solve the equation and then the final answer i get i write multiplicative inverse of it as the final answer ..
Answer:
[tex]\frac{270}{197}[/tex]
Step-by-step explanation:
First I need a common denominator. That number is 270
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
what is the answer for 6x + 3(x-2)
Answer:
9x - 6
Hope this helps! <3
(If you need a step by step lmk)
Answer:
6x+3(x-2)
6x+3x-6
9x-6
Your instructor makes 5 cents per minute. How much does he makes in dollars if he works for 40 hours?
Answer: $120
Step-by-step explanation:
5 * 60 (5 cents every minute with 60 minutes in a hour makes 300 cents per hour)
300 * 40 (300 cents per hour multiplied by 40 hours makes 12000 cents)
12000 / 100 (12000 cents divided by 100 since 100 cents in a dollar)
120 is the answer
4. Which is a step when adding or subtracting numbers written in scientific notation?
We need to know about scientific notation to solve the problem. Convert the numbers to same power of ten for addition or subtraction.
When a number is too big or too small we write it with an exponent raised to 10, this makes the number easy to read and understand. Writing a number like this is called scientific notation. Inorder to add or subtract two numbers written in scientific notation we need to first convert the powers of 10 to the same power, so that we can add the decimal numbers with the power of 10 being the common factor. We can convert the power by either multiplying the number to powers of 10 or by dividing it by powers of 10.
Therefore for addition or subtraction of two numbers written in scientific notation we need to have same powers of 10.
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please answer question in the picture
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 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.
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.
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)
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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:
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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
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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.
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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
question 14: please help asap !!!!
Answer:
practice to do your self
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.
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
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
Which is the graph of f(x)=√4x ?
Answer:
These are the type of graphs that equation would equal too.
Hope this helps! <3
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.
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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.
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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.
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}
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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.
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8.2% of what amount is $2.87
Answer:
35Step-by-step explanation:
8.2% of what amount is $2.87
we find unity and multiply by 1002.87 : 8.2 * 100 =
35
Find the equation of the line that contains the point (6, -2) and is perpendicular to the line y = - 2x + 8.
O y = -x
Oy=2x-14
O y =
x-5
O y = - 2x + 10
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-2}x+8\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-2\implies \cfrac{-2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-2}\implies \cfrac{1}{2}}}[/tex]
so, we're really looking for the equation of a line whose slope is 1/2 and that it passes through (6 , -2)
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{6}) \implies y +2= \cfrac{1}{2} (x -6) \\\\\\ y+2=\cfrac{1}{2}x-3\implies \LARGE \begin{array}{llll} y=\cfrac{1}{2}x-5 \end{array}[/tex]
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)
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)
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.
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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:
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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.....................}