Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.
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Write an equation that represents the line use exact numbers
Answer:
hello
f (2 ) = 6 et f ( 0 ) = 3
( 3 - 6 ) / ( 0 - 2 ) = - 3/- 2 = 3/2
ax = 3 x /2
f (0) = 3 ⇔ b = 3
f (x) = 3 x /2 + 3
also f ( 0) = 0 + 3 = 3
sorry
y = ax + b
b = 3
since the line cuts the y-axis in 3
then for a ? which is the slope..
we take 2 points on the line (0 ; 3) and (2 ; 6)
we move 2 units to the left to go up 3 units
so a = 3/2
=> y = 3/2x + 3
or
f(x) = 3/2x + 3
Given the function f(x) = –0. 5|2x 2| 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution.
There is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6 option fourth is correct.
It is given that the function [tex]\rm f(x) = -0.5|2x+2|+1[/tex]
It is required to find the values of x when f(x) = 6
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm f(x) = -0.5|2x+2|+1[/tex]
And f(x) = 6
Putting the value of f(x) in the above equation, we get:
[tex]\rm 6 = -0.5|2x+2|+1[/tex] or
[tex]\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10[/tex]
Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'
Thus, there is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6.
Learn more about the function here:
brainly.com/question/5245372
The length, breadth and height of room are in the ratio of 5:3:1 and the room contains 960m³ of air . What is the cost of plastering its walls, floor and ceiling at Rs. 30 per m²?
Answer:
Rs. 22,080.
Step-by-step explanation:
Let the height be x m then the breadth is 3x and the length 5x m.
x * 3x * 5x = 960
15x^3 = 960
x^3 = 64
x = ∛ 64 = 4m.
Therefore the height is 4m, the breadth = 12 m and the length = 20m.
So the area of all the surfaces
= 2 * short wall + 2 * long wall + floor + ceiling
= 2 *4*12 + 2*4*20 + 12*20 + 12*20
= 96 + 160 + 240 + 240
= 736 m^2.
Cost plastering = 736 * 30 = Rs. 22,080
How do you solve for n and what is the rule?
Answer:
Looking at the first two given ordered pairs (3, 5) and (4, 7), it appears that for every increase of 1 unit of x, there is an increase of 2 units of y.
Let's check by writing the next ordered pairs using this rule:
(5, 9) (6, 11) (7, 13) (8, 15)
As the the ordered pair (8, 15) is in the table, then we can confirm that this is the rule.
Writing the rule as an equation:
y = 2x - 1
Therefore, n = 6
Answer:
y = 2x - 1
n = 6
Step-by-step explanation:
Hello!
This is an arithmetic sequence.
An Arithmetic sequence, also known as an arithmetic progression, is a string of numbers that follow a pattern where the difference between two terms is always the same (constant).
An Arithmetic sequence is modeled by the explicit function:[tex]\bold{t(n) = (CD)n + t(0)}[/tex]
t(n) = output (y - value)CD = common difference (slope)n = input ( x-value)t(0) = starting value (y-intercept)Let's go step by step to solve these equations:
Step 1: Common Difference
The common difference of a sequence is similar to the slope of a line. The slope formula is given as [tex]\bold{\frac{y_2 - y_1}{x_2-x_1}}[/tex].
We can input values of x and y to find the common difference
[tex]\frac{y_2 - y_1}{x_2-x_1}[/tex][tex]\frac{7 - 5}{4 - 3}[/tex][tex]\frac21 = 2[/tex]We have the CD, 2!
Step 2: Starting Value
The starting value can be shown as the y-intercept of the line or the origin point of the sequence.
To find the starting value or t(0), we can input an x and y value for "n" and "t(n)"
t(n) = (CD)n + t(0)5 = 2(3) + t(0)5 = 6 + t(0)-1 = t(0)We know have the starting value, -1!
Step 3: The Equation
We now have all the values for our equation. let's bring our attention back to the input and output variables. Since we know that "t(n)" is the same as "y" and "n" is the same as "x", we can plug that instead of t(n) and n.
t(n) = (CD)n + t(0)t(n) = 2n -1y = 2x - 1Solve for n:
With our equation, we can plug in 11 as the output and solve for n.
y = 2x - 111 = 2x - 112 = 2x6 = xn = 6
_______________________________________________________
Another way to solve this is to find the Recursive Equation
The Recursive Equation is only meant to find the next term, it doesn't do so well in finding the terms in the long run.
The basic form of a recursive equation is t(n + 1) = t(n) + (CD); where t(0) is ____
I'm not going to go in-depth with this, but you can see the values that we solved above can be implemented here.
Our recursive equation is t(n + 1) = t(n) + 2; where t(0) is -1
The port outside of the semi-colon represents where the sequence starts. If only t(n+1) = t(n) + 2 is given, we could start at 5, and go as 5, 7, 9...etc.
We would start by finding t(1) by doing:
t(0 + 1) = t(0) + 2; where t(0) = -1t(1) = -1 + 2t(1) = 1We can confirm this using our explicit rule: y = 2x - 1
y = 2(1) - 1y = 2 - 1y = 1What is the mode for the following set of data?
5, 7, 8, 10, 12, 12
10
9
7
12
Answer:
I think it would be 10
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.
how to work out 15% of £24
Answer:
3.6.
Step-by-step explanation:
15% = 15/100 = 0.15
so the answer is 0.15 * 24
= 3.6
Answer:
3.60
Step-by-step explanation:
Note:
Of = Multiply
15% can also be written as .15 as decimal
Solve:
.15 × 24 = 3.60
Or we can solve like this:
[tex]\frac{24}{x}=\frac{100\%}{15\%}[/tex]
[tex]\frac{x}{24}=\frac{15}{100}[/tex]
[tex]\Rightarrow x=3.6[/tex]
Therefore, 15% of £24 is 3.60
~Lenvy~
5. Which of the following would have the same graphic representation as the function
f(x) = 27.3^x ? Select all that apply.
O f(x) = 3•3^3x
O f(x= 3^4x
O f(x) = 3^x+3
O f(x) = (3x)^3
O f(x) = 9.3^x+1
Answer:
f(x) = 3^x+3
f(x) = 9.3^x+1
Step-by-step explanation:
Hope it helps you in your learning process.
-2x^2+bx -5 Determine the b-value that would ensure the function has two real root.
Answer:
No solutionStep-by-step explanation:
Given is the quadratic function
y = -2x² + bx - 5In order to have two real roots the discriminant should be posivive
D = - b² - 4acD = - b² - 4(-2)(-5) = - b² - 40We need D > 0
-b² - 40 > 0b² + 40 < 0b² < - 40There is no solution as b² is never negative
PLEASE HELP
If I buy 24 tickets for 25 cents each how much money did I spend?
If v is the circumcenter of pqr ,pr =46 ,tv=15,and vr=25 find each measure
Answer:
1. a) SR = 23
b) QV = 25
c) QT = 20
d) PQ = 40
e) VS = 4·√6
2. a) LH = 16
b) EL = 2·√185
c) JG = 30
d) EK = 22
e) KG = 30
3. a) XT = 37
b) TZ = 34
c) ZW = 17
d) XZ = 21
e) SY = 69
Step-by-step explanation:
The circumcenter ΔPQR is the center of the circle that circumscribes ΔPQR
The length of the radius of the circle ≡ VR = VP = QV = 25
a) Given that VR ≅ VP - Radius of circumcircle
VS ≅ VS Reflective property
∠VPS ≅ ∠VRS - Base angles of an isosceles triangle
Right triangle VPS ≅ Right triangle VRS -Hypotenuse and one Leg HL congruency
Therefore, SR ≅ PS -Corresponding parts of congruent triangles are congruent CPCTC
SR + PS = PR = 46
SR + PS = SR + SR = 2·SR = 46
∴ SR = 46/2 = 23
b) QV = VR = 25 = Radius of circumcircle of ΔPQR -Given V = center and Q = vertices of the triangle circumscribed by the circle referred to in the question
c) QT = √(QV² - TV²) = √(25² - 15²) = √400 = 20
d) TV ≅ TV - Reflexive property of congruency
ΔTQV ≅ ΔTVP - Hypotenuse and one Leg (HL) congruency
QT ≅ TP -Corresponding parts of congruent triangles are congruent CPCTC
PQ = QT + TP Given
∴ PQ = QT + QT since QT = TP
PQ = 2·QT = 2 × 20 = 40
e) VS = √(VR² - SR²) = √(25² - 23²) = √96 = 4·√6
2. The incenter is the center of the incircle of ΔEFG
a) LH = LK = JL = 16 -Radius of incircle of ΔEFG
b) EL = Hypotenuse of right triangle LHE = √(LH² + EH²) = √(16² + 22²) = √740 = 2·√185
c) JG = Leg length of right triangle JGL = √(LG² - JL²) = √(34² - 16²) = √900 = 30
d) EK = Leg length of right triangle LKE = √(EL² - LK²) = √(740 - 256) = 22
e) KG = Leg length of right triangle LKG = √(LG² - LK²) = √(34²- 16²) = √900 = 30
3. Point Z id the centroid of ΔRST
a) XT = XS - point X on ST bisected by median line RX
ST = XT + XS = XT + XT = 2.XT = 74
XT = 74/2 = 37
b) TZ = 2/3×TW - Length from a vertex to the centroid on a median line is equal to two third the length of the median line
TZ = 2/3×51 = 34
c) TZ + ZW = TW
∴ ZW = TW - TZ = 51 - 34 = 17
d) RZ = 42 = 2/3×RX - Length from a vertex to the centroid on a median line is equal to two third the length of the median line
∴ RX = 3/2×42 = 63
RZ + XZ = RX - Given
XZ = RX - RZ = 63 - 42 = 21
e) SZ = 2/3×SY - Length from a vertex to the centroid on a median line is equal to two third the length of the median line
SZ + ZY = SY
∴ ZY = SY - SZ = SY - 2/3×SY = 1/3×SY = 23
Which gives;
SY = 3 × 23 = 69.
The costs for a new publishing company can be classified as fixed costs, such as rent and insurance, or variable costs, such as materials and labor. Fixed costs are constant, while variable costs change as the number of items produced changes. The graph shows the weekly variable costs based on the number of books produced.
a. If weekly fixed costs are $300, sketch a graph showing total expenses for the week.
b. Find the total cost of producing 75 books in a week.
Answer:
a) As weekly costs are fixed at $300, we simply need to shift the function up 300 units. (the new function is shown in blue on the attached graph).
b) Reading from the (blue) graph, the total cost of producing 75 books in a week is $600.
fixed cost + variable cost = $300 + $300 = $600
original price of television is $729 , 18%of the original price , 6% tax applied after discount
Answer:
139.0932
Step-by-step explanation:
729×18%×(1+6%)
729x0.18x(1+0.06)
729x0.18x1.06
139.0932
help please must be a really quick answer but right!
Answer:
240 ft^2
Step-by-step explanation:
10*18=180
20*6=120
120/2 = 60
180+60=240
Use the distributive property to write an expression equivalent to each of the following x(-2+3)
Hey there!
x(-2x + 3)
= 1x(-2x + 3)
DISTRIBUTE 1x WITHIN the PARENTHESES
= 1x(-2x) + 1x(3)
= -2x(1x) + 3(1x)
= -2x^2 + 3x
Therefore, your answer is: -2x^2 + 3x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I need help please with these 2 problems
Step-by-step explanation:
1a) =>3(3x+1)/4(3x+1)=3/4
b) => 2x(x+5)/(x+5)²=2x/x+5
2) a raph restriction means that the graph stops where the restriction says. But because the y's are the output of the x's, they only give u the x restriction and then you can calculate the point by finding the y coordinate. This may sound weird but here is an example:
[1,3] => this means the graph will only show between the points 1 and 3 (on the x-as). Both points are included in the graph.
[1,3[ => this means the raph will only show between the points 1 and 3 but 1 is still a part of the graph but not 3 so up till every little number but just not 3.
hope u get it lol
A cube is sliced as shown. Find the area of the cross section formed by the slice.
Answer: 5√(50) = 35.36 m^2
Step-by-step explanation:
The cross section is a rectangle, so its area formula is: Area = length * width.
If you look, the width is the diagonal of the side of the cube; thus, you can use Pythagorean theorem to find its measurement: a^2 + b^2 = c^2 → 5^2 + 5^2 = c^2 →
50 = c^2 → c = √(50)
Now, use the area formula and get: Area = 5 * √(50) = 5√(50) = 35.36 m^2 :)
Please help me with this math question. I will give brainliest!! :D
Answer:
C
Step-by-step explanation:
50 POINTS FOR CORRECT AWNSER!
Answer:
[tex]\mathsf{y < \dfrac47x-4}[/tex]
Step-by-step explanation:
First, find the equation of the line.
Slope-intercept form of a linear equation: [tex]\mathsf{y=mx+b}[/tex]
(where m is the slope and b is the y-intercept)
From inspection of the graph, the y-intercept is at (0, -4)
Therefore, b = -4
Choose another point on the line, e.g. (7, 0)
Now use the slope formula to find the slope:
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where:
[tex]\mathsf{(x_1,y_1)=(0,-4)}[/tex][tex]\mathsf{(x_2,y_2)=(7,0)}[/tex][tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]
Therefore, the equation of the line is:
[tex]\mathsf{y=\dfrac47x-4}[/tex]
For an inequality, the dashed line means < or > (whereas a solid line means ≤ or ≥)
As the shading is below the line, we need to use <
Therefore, the final inequality is:
[tex]\mathsf{y < \dfrac47x-4}[/tex]
(1) In the adjacent figure, congruent sides of ABCD are shown by identical marks. State if there are any pairs of congruent angles in the figure. A
Remove Congruent pairs too
Answer:
Step-by-step explanation:
Assessment started: undefined. Item 1 What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box
The mean of the data set, 6, 11, 5, 2, 7, is: 6.2.
What is the Mean of a Data Set?The mean of a data set is the average of the data points or the sum of all the data points divided by the total number of data points in the data set.
Given the data set, 6, 11, 5, 2, 7:
Mean = (6 + 11 + 5 + 2 + 7)/5
Mean = 31/5
Mean = 6.2
Therefore, the mean of the data set, 6, 11, 5, 2, 7, is: 6.2.
Learn more about the mean on:
https://brainly.com/question/19243813
Answer:
6.2
Step-by-step explanation:
solve systems by substitutions
y=x + 10
y= -6x-18
x + 10 = - 6x - 18
7x = - 28
x = - 4
and y = - 4 + 10 = - 6
Graph f(x) = -x-3.
Use the line tool and select two points to graph the line.
Answer: Look at the screenshot
Step-by-step explanation:
Ive added a screenshot of what this graph should look like
Answer:
*View attached graph*
Step-by-step explanation:
I graphed 6 points, so you are able to choose the ones you want :)
*View attached graph*
Hope this helps!
6. A line passes through the points (-2,5) and (6,9). Calculate the gradient of this line.
Answer:
d 2.5 line is 6.9 which is 9.4
Step-by-step explanation:
because
Question is the PNG file.
Answer:
volume = x(x + 2)(x - 1)
soil = 30 ft³
Step-by-step explanation:
volume of a cuboid = width x length x height
width = x ftlength = (x + 2) ftheight = (x - 1) ftSubstituting given values into the equation:
⇒ volume = x(x + 2)(x - 1)
If width = 3ft, then x = 3:
⇒ volume = 3(3 + 2)(3 - 1)
= 3(5)(2)
= 30 ft³
2x + 3y = 15
x + y = 6
work out x and y
Answer:
x=3
y=3
Step-by-step explanation
Here we have been given with two equations and we will solve them by substitution by elimination method.
2x + 3y = 15 (Equation No 1)x + y = 6 (Equation No 2)Transposing y in 1st equation from L.H.S. to R.H.S. it would be negative,
[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y}[/tex]
Now, we would substitute this value of x in Equation No 1.
[tex] \implies \: \displaystyle\sf{2 \: (6 - y) \: = \:15 }[/tex]
[tex] \implies \: \displaystyle\sf{2 \: \times (6 - y) \: = \:15 }[/tex]
[tex]\implies \: \displaystyle\sf{12 - 2y \: = \:15 }[/tex]
Transposing 12 to R.H.S.,
[tex] \implies \: \displaystyle\sf{ - 2y \: = \:15 - 12 }[/tex]
[tex]\implies \: \displaystyle\sf{ - 2y \: = \:3}[/tex]
[tex]\implies \: \displaystyle\bf{ y \: = \: - \dfrac{3}{2} }[/tex]
Therefore, value of y is - 3/2.
★ Finding out value of x:-
[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y }[/tex]
[tex]\implies \: \displaystyle\sf{x \: = \: 6 - ( \dfrac{ - 3}{ 2} )}[/tex]
[tex]\implies \: \displaystyle\sf{x \: = \: \frac{12 + 3}{2} }[/tex]
[tex]\implies \: \displaystyle\bf{x \: = \: \frac{15}{2} }[/tex]
Henceforth,
Value of x is 15/2.Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6.
The area of this figure.
square meters
10 m
2 m
12 m
7 m
4 m
4 m
Answer:
I believe it is 106 Square meters
Step-by-step explanation:
Easiest way to find area for these kind of shapes is to break them into smaller rectangles, this specific one can be broken 3 ways...
Right: 4m long, 7m tall
Top: 10 long, 5 tall *(12-7)*
Left: 4m long, 7m tall
*To find incomplete ones, you find clues in other sides, for instance the whole side was 12, the broken part was 7, therefor you just subtract 7 from 12, giving you 5 for the top.*
Then you just multiply...
4x7=28
4x7=28
10x5= 50
Now, you have the area for three individual smaller rectangles. So you simply add them together to get the whole shapes area...
28+28+50=106
Therefor, your answer should be 106 square meters- if I'm not mistaken.
Hope this helps, brainliest is appreciated if its right, trying to rank up :)
Have a great day! cx
~Mitsuna
Answer:
106
Step-by-step explanation:
Here's one way of finding the area:
Find the area of the entire outer rectangle. Then subtract the area of the samlle rectangle in the bottom middle.
A = LW - lw
A = (10 m)(12 m) - (2 m)(7 m)
A = 120 m² - 14 m²
A = 106 m²
how many cups can fit into 3 gallons equally
Answer: 48
Step-by-step explanation:
3x16=48
3 gallons=48 cups
There are 48 cups in 3 gallons.
To start your conversion, you need to know how many cups are in one gallon.
There are 2 cups in 1 pint, and 2 pints in 1 cup.
round 4184 to the nearest hundereth
Answer:
4200
Step-by-step explanation:
I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.
For Halloween, Kate wears a monocle
that has a radius of 3 centimeters.
What is the monocle's circumference?
Use 3.14 for n.
centimeters
Answer:
18.84 square centimeters
Step-by-step explanation:
[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]
[tex]C = (3.14)(6)[/tex]
[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]
P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.