Answers
Answer:
[tex]\textsf{(a)} \quad \boxed{9a-3}[/tex]
[tex]\textsf{(b)} \quad \boxed{-9a-3}[/tex]
[tex]\textsf{(c)} \quad \boxed{-9a+3}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x) = 9x - 3[/tex]
Part (a)
To find f(a), substitute x = a into the function:
[tex]\implies f(a)=9a-3[/tex]
Part (b)
To find f(-a), substitute x = -a into the function:
[tex]\implies f(-a)=-9a-3[/tex]
Part (c)
To find -f(a), first substitute x = a into the function:
[tex]\implies f(a)=9a-3[/tex]
Then make the function negative:
[tex]\begin{aligned}\implies -f(a)&=-(9a-3)\\&=-9a+3 \end{aligned}[/tex]
Related Questions
9 feet is the same as how many meters? Hint: 1 ft≈ 0.305 m Learn with an example Round your answer to the nearest tenth. Submit (
Answers
9 feet is the same as = 2.74 m
Given
1 ft≈ 0.305 m
To find out 9 feet is the same as how many meters:
To convert a foot measurement to a meter measurement, multiply the length by the conversion ratio.
Since one foot is equal to 0.3048 meters, you can use this simple formula to convert:
meters = feet × 0.3048
= 9 * 0.3048
= 2.7432 m
The length in meters is equal to the feet multiplied by 0.3048.
Hence the answer is the 9 feet is the same as meters = 2.74m.
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Write the standard form equation for an
ellipse with vertices: (4, 10) and (-12, 10)
and foci: (2, 10) and (-10, 10)
Answers
Check the picture below, so the ellipse looks more or less like so
[tex]\textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=-4\\ k=10\\ a=8 \end{cases}\implies \cfrac{(x- (-4))^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1\implies \cfrac{(x+4)^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1 \\\\\\ \stackrel{\textit{we know that c = 6}}{6=\sqrt{8^2 - b^2}}\implies 6^2=8^2-b^2\implies b^2=8^2-6^2\implies \underline{b^2=28} \\\\\\ \cfrac{(x+4)^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1\implies {\Large \begin{array}{llll} \cfrac{(x+4)^2}{ 64}+\cfrac{(y- 10)^2}{ 28}=1 \end{array}}[/tex]
Need Help filling in the table?
Answers
Answer: Down there,
Step-by-step explanation:
Row 1 = 29
Row 2 = 5
Row 3 = -1
Row 4 = -7
50 POINTS TO WHOEVER ANSWERS!!
Answers
4c: jam has greater rate
4c: jam has greater rate
Maximize: z = 3x + y
subject to: x-y≤9 3x + 5y ≤45 x≥0, y≥0
Answers
Objective function is a maximum at (3,2), Z = 3x+y = 3(3) + 1(2) = 9 + 2 = 11
Given,
Maximize: z = 3x +y
Subject to:
x-y≤9
3x + 5y ≤45
x≥0, y≥0
For the purpose of representing and resolving the linear programming optimization issues, objective functions are frequently used. The choice variables x and y are used in the objective function, which has the form Z = axe + by. The best answer can be obtained by maximizing or minimizing the function Z = ax + by
Plot the constraints and the objective function Z, or z = 3x +y
Push the objective function to the limit permitted by the feasible region to find the maximum.
Objective function is a maximum at (3,2),
Z = 3x+y = 3(3) + 1(2) = 9 + 2 = 11
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King's Books sold 480 bookmarks last year, in comparison to 672 bookmarks this year. What is the percentage of the increase in the number of bookmarks sold annually?
Answers
Answer:
Step-by-step explanation:
percentage increase = (final - initial)/initial
increase = (672 - 480)/480
= 192/480
= 0.4 * 100 = 40% increase
2 1/2 times [1 2/3] please help
Answers
Answer below if you can!! Would help me A LOT^^
Answers
Answer:
Think its B.
Step-by-step explanation:
Answer:
[tex]4cd(6-9c)[/tex]
Step-by-step explanation:
Factor out what all terms have in common
[tex]24cd-36c^{2} d[/tex][tex]cd(24-36c)[/tex][tex]4cd(6-9c)[/tex]Can you help with these vocabulary questions
Answers
- An *acute* angle measures less than *90*.
- An obtuse angle’s measure is *more* than *90*.
- Right angles *are* or *measure* exactly *90*.
(3x + 8)°
(5x – 20)°
(5x + 4y)°
Find the value of each variable.
Answers
Answer:you have 2 lines that cross.
the left angle formed is equal to 3x + 8
the right angle formed is equal to 5x - 20.
the bottom angle formed is equal to 5x + 4y
since the lines are crossed, the opposite angles to each other are equal.
this means that:
3x + 8 = 5x - 20
solve for x to get x = 14 degrees.
the angle on the left side will be equal to 3(14) + 8 = 50 degrees.
the angle on the right side will be equal to 5(14) - 20 = 50 degrees.
this is at it should be since the angles are equal to each other.
since the sum of the 4 angles formed is equal to 360 degrees, the sum of the remaining 2 angles is equal to 260 degrees.
since those 2 angles are equal, then each one must be equal to 130 degrees.
one of those angles is equal to 5x + 4y.
you get 5x + 4y = 130
since x was already found to be 14, replace x with 14 to get:
5(14) + 4y = 130
solve for y to get y = (130 - 5(14)) / 4 which is equal to 15 degrees.
when x = 14 and y = 15, 5x + 4y = 5(14) + 4(15) = 70 + 60 = 130 which confirms the value of 15 for y is good.
your answers are:
x = 14 degrees
y = 15 degrees
2 of the angles measure 50 degrees each.
2 of the angles measure 130 degrees each.
To find the quotient Three-fourths divided by one-eighth,
Answers
Answer:
Step-by-step explanation:
1. Convert words to math
3/4/1/8=
3/4*8/1=
24/4=
6
3. Answer: 6
i need help with this
Answers
Check step-by-step explanation.
Step-by-step explanation:1. Form a table for the given equation.In order to form the table, we must take several values of x (any values you want to evaluate) and find it's correspondent y value. This is how you do it:
[tex]y=3x+12[/tex]
[tex]x=0, \\y=3(0)+12\\y=12[/tex]
As you may notice, we are just substituting the x value for the x variable into the equation and calculating y. Do this with several values and form a table (check attached image 1).
[tex]x=1, \\y=3(1)+12\\y=15[/tex]
[tex]x=2, \\y=3(2)+12\\y=18[/tex]
2. Draw the points.Using the calculated points, draw them in the cartesian plane. Remember that "x" means how many spaces you move horizontally, and "y" means vertical spaces.
Check attached image 2.
3. Interpret the information.Let's take point (2, 18) as an example. This point is generated when you substitute the x value of 2, meaning 2 hotdogs and the souvenir hat. Then, the functions gives a result of 18, which would be the cost of those 2 hotdogs in addition to the souvenir hat. Point (0, 12), on the other hand, means that you didn't buy any hotdogs but you still have to pay $12 for the souvenir hat.
Complete the square to transform the expression x^2 + 6x + 5 into the form a(x − h)^2 + k. (1 point)
(x + 3)2 + 4
(x + 6)2 − 4
(x + 3)2 − 4
(x + 6)2 + 4
Answers
a perfect square trinomial, namely [tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2[/tex]
where the middle-term is just a product of "2 times the square root of the terms on both sides".
so let's start by grouping the terms with a variable, and then adding the last term for the trinomial, keeping in mind the middle-term is just that product.
[tex]x^2+6x+5\implies (x^2+6x) ~~ +5\implies (x^2+6x+\square^2) ~~ +5 \\\\\\ \stackrel{middle-term}{6x}=2(\sqrt{x^2})(\sqrt{\square^2})\implies 6x=2x\square\implies \cfrac{6x}{2x}=\square\implies 3=\square[/tex]
ahhhaaa!!! so our missing term from our group is 3, meaning we need to use 3², however, let's remember, all we're doing is borrowing from our very good friend Mr Zero, 0, so if we add 3², we also have to also subtract 3²
[tex](x^2+6x+3^2-3^2) ~~ +5\implies (x^2+6x+3^2)-3^2 +5\implies {\Large \begin{array}{llll} (x+3)^2-4 \end{array}}[/tex]
Please answer. Thanks.
Answers
The missing statements/ reasons are:
Statement Reason
LN bisects ∠MLO Given
LM ≅ LO Given
∠MLN ≅ ∠NLO Def of angle bisector
LN ≅ LN Common side
ΔLMN ≅ ΔLON SAS postulate of triangle congruence
In this question, we have been given some information about triangles LMN and LON.
We need to prove ΔLMN ≅ ΔLON
LN bisects ∠MLO ....................(Given)
LM ≅ LO ...................(Given)
∠MLN ≅ ∠NLO ...................(Def of angle bisector)
LN ≅ LN ....................(Common side)
ΔLMN ≅ ΔLON ...................(SAS congruence postulate)
Therefore, the missing statements/ reasons are:
Statement Reason
LN bisects ∠MLO Given
LM ≅ LO Given
∠MLN ≅ ∠NLO Def of angle bisector
LN ≅ LN Common side
ΔLMN ≅ ΔLON SAS postulate of triangle congruence
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if cabbage coats 0.27 per pound then how many pounds of cabbage can you buy for $3.90.
Answers
Answer:.15
Step-by-step explanation:
390/27= 130/9
130/9=14.444...
divide by 100
.1444... is approxomatly .15 so there is your answer
Answer:
14 or 15
u can do 3.90 divied by 0.27
Step-by-step explanation:
Find a b and c ??????
Answers
Answer:
a = 70 degrees
b = 20 degrees
c = 20 degrees
Step-by-step explanation:
First, we can find "c":
angleBCA = 90
angleBCA = angleBCD + c
90 = 70 + c
90 - 70 = c
20 = c
Knowing "c", we can find "a".
angleADC = 90
triangleADC = 180
triangleADC = angleADC + c + a
180 = 90 + 20 + a
180 = 110 + a
180 - 110 = a
70 = a
Knowing "a", we can find "b".
angle BCA = 90
triangleACB = 180
triangleACB = angleBCA + a + b
180 = 90 + 70 + b
180 = 160 + b
180 - 60 = b
20 = b
Lamonte was comparing the price of grapefruit juice at two stores. The equation
y = 1.75x represents what Lamonte would pay in dollars and cents, y, for a bottles
of grapefruit juice at store A. Lamonte can buy 17 bottles of grapefruit juice at Store B
for a total cost of $36.38.
How much less is a bottle of grapefruit juice at Store A than
at Store B?
Answers
The bottle of grapefruit juice at store A is $6.63 less than the store B.
According to the question,
We have the following information:
The equation y = 1.75x represents what Lamonte would pay in dollars and cents, y, for a bottles of grapefruit juice at store A.
Cost of 17 bottles of grapefruit juice at store B = $36.38
Now, we will find the cost of 17 bottles at store A.
y = 1.75*17
y = $29.75
Now, the difference in their price = 36.38-29.75
Difference = $6.63
Hence, the bottle of grapefruit juice at store A is $6.63 less than the store B.
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Answer: 0.39
Step-by-step explanation:
Store A
y= 1.75x
A bottle of grapefruit juice costs 1.75 at store A
Store B
36.38$/17 bottles = 2.14$ per bottle
A bottle of grapefruit juice costs 2.14$ at store B
Store B - Store A= 2.14$ - 1.75$
=0.39
If u = 15, t = 8, s = 40 and s (u+v)t 2 evaluate v.
Answers
The value of v is -12.5 when u = 15, t = 8, and s = 40.
According to the question,
We have the following expression:
s = (u+v)[tex]t^{2}[/tex]
We have the following values:
u = 15, t = 8, s = 40
Now, we can easily find the value of v by putting all these values in the given expression.
So, we have the following expression:
40 = (15+v)8*8
40 = (15+v)16
Multiplying 16 into the bracket:
40 = 15*16+16v
40 = 240+16v
Subtracting 240 from both sides:
40-240 = 16v
-200 = 16v
Dividing by 16 on both sides:
-200/16 = v
v = -12.5
Hence, the value of v is -12.5 when u = 15, t = 8, and s = 40.
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Una barra de fierro tiene 3,5 metros de largo. en un punto de la barra se ubica una marca que dista 125cm de uno de los extremos.¿cuanto dista en dm del otro extremo?
Answers
Answer:
El otro extremo dista :
12.5 decímetros
Step-by-step explanation:
1 dm = 1 decímetro = 10 cm
1 m = 1 metros = 10 decímetros = 10 dm
3.5 metros = 3.5 * 10 = 35 decímetros
125 cm = 125/10 = 12.5 decímetros
Entonces:
35 dm - 12.5 dm = 22.5 dm
Determine which integer makes the inequality 8(n − 3) < 4(n + 7) true. S:{13} S:{24} S:{9} S:{52}
Answers
The inequality has a solution set of {-∞, 13} in order to make it equal
InequalityIn mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions. An inequality shows the relationship between two values in an algebraic expression that are not equal.
In the given question
8(n - 3) < 4(n + 7)
Expand the bracket
8n - 24 < 4n + 28
8n - 4n < 28 + 24
n < 13
The solution set to make the inequality equal is {-∞, 13}
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Calculator
What is the area of this rectangle?
O 40 units²2
O 45 units²
O 50 units²
O 55 units²
-10-9-8-7-6-5-4
10-
9
8
8
9.10
Answers
Answer:
(c) 50 units²
Step-by-step explanation:
You want to know the area of the rectangle with vertices (-5, 5), (-1, 7), (4, -3), and (0, -5).
Distance formulaThe distance formula can be used to find the lengths of the sides. That formula is ...
d = √((x2 -x1)² +(y2 -y1)²)
The distance between the first two points is ...
d = √((-1 -(-5))² +(7 -5)²) = √(4² +2²) = √20
The distance between the next two points is ...
d = √((4 -(-1))² +(-3 -7)²) = √(5² +(-10)²) = √125
AreaThe area is the product of two adjacent side lengths:
A = LW
A = (√125)·(√20) = √(125·20) = √2500 = 50 . . . . square units
The area of the rectangle is 50 units².
when diving a hummingbird can reach a speed of 40 miles per hour. What is this speed in miles per minute
Answers
The speed of the humming bird when converted to miles per minute is; 0.67 miles per minute
How to carry out unit conversions?In scientific problems, sometimes, it is necessary to change units from one to another as specifically needed.
The procedure for unit conversion is;
1. Identify the unit you have.
2. Identify the unit you desire or require.
3. Identify appropriate unit conversion factor(s).
4. Cancel units and carry out the math calculations.
5. Evaluate the result.
We are given the speed as 40 miles per hour. Now, the unit of conversion factor from mph to miles per minute is;
1 mile per hour = 1/60 miles per minute
Thus;
40 miles per hour = 40 * 1/60 = 0.67 miles per minute
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x + 2x
Helpp, no link :/
Answers
Answer:
3x
Step-by-step explanation:
When the equation is like this and they both are being multiplied by x you can just add the coefficients
x+2x
1x+2x
3x
Hopes this helps please mark brainliest
Hello..!
Similar Terms:[tex] \sf{x + 2x = 3x}[/tex]
It is known that in similar terms "x" is an unknown quantity and that in this problem "x" is 1 and that we only have to add it to 2:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf2 + 1 = 3[/tex]
So the result is 3x
HELP!!! Simplify the expression
Answers
Answer: (3x^2)(y^3√y)
Step-by-step explanation:
1. To simplify the radical
> break the radicand (the number under the radical sign) into a product (the result of two numbers being multiplied together) of known factors.
2. Assume all numbers are real.
Find the domain of the function using interval notation.
f(x)=−2x(x−3)(x−6)
Answers
The domain of the polynomic function f(x)=−2 · x · (x − 3) · (x − 6) is (- ∞, + ∞).
What is the domain of a polynomic function?
In this problem we find a polynomic function in factor form, whose definition is presented below:
f(x) = a · Π (x - rₙ), for n = {1, 2, 3, ..., n - 1, n}
Where:
a - Lead coefficientrₙ - n-th Root of the polynomial.The grade of the polynomial is equal to the number of roots. The statement shows a polynomial of grade 3 and, according to function theory, the domain of polynomic functions is the set of all real numbers, whose interval notation is (- ∞, + ∞).
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You started this year with $458 saved and
you continue to save $14 per month.
Write an equation to model this situation
(use m for months and s for savings).
Answers
Answer:
s = 14m + 458
Step-by-step explanation:
current amount = 458
14 per month
s = 14m + 458
So essentially it will be S=$14m+$458.
It’s this because S is the total value you’re trying to get (the savings)
$14 is linear meaning it’s the same every time or in this case every month so it goes there since the amount also depends on the amount of months. Which is also why m (months) is being multiplied by $14. $458 goes there because it’s the starting value so it will be accounted for every time you calculate with this equation.
I apologize if anything is incorrect or unclear and if you have any questions please ask.
I need help with my math
Answers
Answer:
Page 1 of 3
1. twenty
2. 16,49
3. option3
4.32
5. 40 tickets show your work--10= 1.00 40=4.00
Page 2 of 3
7, 14, 21, 28, 35, 42, 49, 56, 63
Page 3 of 3 (left to right)
56, 0, 21, 63, 42, 35, 14, 28, 7, 77, 84, 56, 14, 49, 63, 28, 70, 42, 21, 35, 84, 7, 77, 0, 70
Step-by-step explanation:
learn your times tables
it will help you in high school and college
How many fifths equal 1/5
Answers
Answer: only 1
Step-by-step explanation:
Answer: One-fifth.
Step-by-step explanation:
2/5 is two-fifths, 3/5 is three-fifths, and so on.
1/10 is one-tenth, 2/10 is two-tenths, and so on.
Find an equation of the line containing the given pair of points (3,4) and (9,9)
Answers
Answer:
y = 5x/6 + 3/2
Step-by-step explanation:
First, find the slope (m):
m=(y2-y1)/(x2-x1)
m=(9-4)/(9-3)
m=5/6
y=mx+b ==> slope-intercept form equation
y = 5x/6 + b==> substitute the value of the slope for m
9 = 5(9)/6 + b ==> substitute a point (x, y) or (9, 9) into the equation
9 = 45/6 + b ==> simplify
(9 = 45/6 + b)*6 ==> multiply the equation by 6 to remove denominators
54 = 45 + 6b ==> simplify
54 - 45 = 45 - 45 + 6b ==> solve for b
9 = 6b
9/6 = 6b/6
b = 3/2
y = 5x/6 + 3/2 ==> plug in b for the slop-intercept equation
an object is traveling at the steady speed of 8 and 2/3 mph how long will it take the object to travel 5 and 1/5 miles
Answers
Answer:
36mins
Step-by-step explanation:
So, the time of travel to cover 5 1/5 miles at a speed of 8 2/3 mph is 36 minutes.