Answers
This can be shortened to "x intercepts are -1 and -11" since in every case, the y value is always 0 for any x intercept. There's no need to state the y coordinate since it's always 0.
We find this by solving (x+1)(x+11) = 0 for x using the zero product property
(x+1)(x+11) = 0
x+1 = 0 or x+11 = 0
x = -1 or x = -11
=================================
The y intercept is (0,11).This is the result of computing y = (0)^2+12(0)+11. Due to how easy it is to work with 0, we basically just erase the (0)^2+12(0) portion and we're left with 11 as our y intercept. This means you can erase the x^2+12x portion of the original equation to get the same result.
Related Questions
Field book of an agricultural land is given in the figure. It is divided into 4 plots . Plot I is a right triangle , plot II is an equilateral triangle, plot III is a rectangle and plot IV is a trapezium, Find the area of each plot and the total area of the field. ( use √3 =1.73)
Answers
Answer:
Plot I area= 32.5cm²
Plot II area = 73.09cm²
Plot III area = 35cm²
Plot IV area = 54cm²
Total the area of Field = 194.59cm²
Step-by-step explanation:
The field is made up of four plots with different shapes. So we would find the area of the 4 shapes to get the area of the plots.
A question related to this can be found at brainly (question ID: 18861101)
Find attached the diagram
Given:
AC = 13cm
AE = 19cm
CF = DE = 7cm
AD = AE - DE
AD = 19-7 = 12cm
GF = 9cm, EH = 15cm
GH = 17cm
Plot I: A right angle triangle
Area = ½ × base × height
Base = CD, height = AD
Using Pythagoras theorem
CD = √(AC² - AD)²
CD = √(13² - 12²) = √(169-144)
CD = √25 = 5
Area = ½ × 5 ×13= 32.5
Area plot I = 32.5cm²
Plot II: An equilateral triangle
Area of the equilateral triangle = a²/4 ×(√3)
√3=1.73
a = side = AC
Area = (13)²/4 ×(√3) = 42.25 × 1.73 = 73.0925
Area of Plot II = 73.09cm²
Plot III: A rectangle
Area of a rectangle = length × width
length = 7cm
width = 5cm
Area of plot III = 7×5 = 35cm²
Plot IV: A trapezium
Area of trapezium = ½(base 1 + base2) × height
Base 1= FE = CD
Base 2= GH
To get height using diagram 2. When you draw the lines from the two points on base1, you would have 1 rectangle in the middle with the two triangles by the side.
We would apply Pythagoras theorem to find h in the two right angled triangles:
Hypotenuse ² = opposite ²+adjacent ²
1st ∆: 9² = h²+a²
h² = 81-a²
2nd ∆: 15² = h² + (12-a)²
225 = h² +144 - 24a+ a²
225-144 = h²-24a+ a²
Insert value for h² in the 2nd
81 = 81-a² - 24a + a²
24a = 81-81
a= 0
h² = 81-0²
h = √81 = 9
Area of trapezium = ½(5+7) × 9
= 6 × 9
Area of plot IV= 54cm²
Total the area of field = area of plot I + area of plot II + area of plot III +area of plot IV
= 32.5 + 73.09 + 35+ 54
Total the area of Field = 194.59cm²
find the size of angle yzx give your answer to 3 significant figures 7.5cm and 22.3cm
Answers
Answer:19.7
Step-by-step explanation:
Sin‐(7.5/22.3) on your calculator
The answer to 3 significant figures is 19.7
Size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).
What is an angle?" Angle is defined as when two rays meet at one point known as vertex."
Formula used
[tex]sin\theta = \frac{ opposite side }{Hypotenuse}[/tex]
According to the question,
As shown in the figure,
In triangle YXZ,
Angle X = 90 degrees
Opposite side to ∠YZX , XY = 7.7cm
Hypotenuse , ZY = 22.3 cm
Substitute the value in the formula to get the value of size of angle YZX,
[tex]sin YZX = \frac{XY}{ZY}[/tex]
⇒[tex]sin YZX = \frac{7.5}{22.3}[/tex]
⇒[tex]sin YZX = 0.3363[/tex]
⇒ [tex]YZX = sin^{-1} (0.3363)[/tex]
⇒∠YZX = 19.651°
Hence, size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).
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The origin is contained in the solution set for this system of inequalities
y< 2x + 4
y> -2x - 2
Select one:
O True
O False
Answers
Answer:
O True
Step-by-step explanation:
If we substitute (x, y) = (0, 0) into both inequalities, we have ...
0 < 2·0 +4 ⇒ 0 < 4 . . . true
0 > -2·0 -2 ⇒ 0 > -2 . . . true
The point (0, 0) satisfies both inequalities, so is contained in the solution set.
A survey of students at a particular college showed that 33% of them prefer the American Heritage Dictionary (as opposed to Webster's or Random House). If 30 students are randomly surveyed, find the probability that exactly 6 of them prefer the American Heritage Dictionary.
Answers
Answer:
.066 = 6.6 percent chance
Step-by-step explanation:
1 in 5 chance to get 6, so that is .20 multiply .20 and .33 and you get .066
The fletcher family puts loose change into a jar every evening. Once a month, the family counts the coins and prepares to take it to the bank, but removes all the pennies first. Last month, they found there were 14 more quarters than dimes, and the number of nickels was 8 less than 4 times the number of dimes. If the total value of the nickels, dimes, and quarters was $15.75, how many dimes did they have?
Answers
Answer:
They have 23 dimes
Step-by-step explanation:
Let x be the number of dimes
1 dime = 0.1 dollar
x dimes = 0.1x dollars
They found there were 14 more quarters than dimes.
No. of quarters = x+14
1 quarter = 0.25 dollar
(x+14) quarter =0.25 (x+14)
The number of nickels was 8 less than 4 times the number of dimes.
So, No. of nickels= 4x-8
1 nickel = 0.05 dollar
(4x-8) nickel = 0.05(4x-8) dollar
The total value of the nickels, dimes, and quarters was $15.75.
So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75
x=23
Hence they have 23 dimes
Which statement best explains the relationship between lines CD and FG?
They are perpendicular because their slopes are equal.
They are perpendicular because their slopes are negative reciprocals.
They are not perpendicular because their slopes are equal.
They are not perpendicular because their slopes are negative reciprocals.
Answers
Answer:
(B) They are perpendicular because their slopes are negative reciprocals
Step-by-step explanation:
B. They are perpendicular because their slopes are negative reciprocals.
Which two representations are considered to be only partial representations
Answers
Answer:
Option D is correct.
The only partial representations of the given information are the table and the graph.
This is because, on their own, they do not provide the corresponding value of y for every given x.
Step-by-step explanation:
Complete Question
Four representations of the same data are shown below.
- Verbal Description
Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.
- Equation
y = x + 4
- Table
- Graph
Cell Phone Bill
Which two representations are considered to be only partial representations?
A) the equation and the verbal description
B) the verbal description and the graph
C) the table and the equation
D) the graph and the table
Solution
A complete representation would give the total amount Stay pays in a month, given the number of minutes. There would be no domain of x (minutes charges on her phone) where there is a solution, that the complete representation wouldnt give the corresponding y (total amount of money she would pay.
Taking each of the representations one at a time.
- Verbal Description
The verbal description alone explains the subject matter to us in details. With the explanation from the verbal description, the value of y is always just there to obtain.
- Equation
y = x + 4
The equation too, alone, will give the value of y for every given value of x. So, it is also a complete representation of the subject matter all on Its own.
- Table
Although, the values of the table aren't all presented above, but it is evident that the table, no matter how long, can only give the corresponding values of y given x, to an extent. A table, on its own, would not give all the values of y, for every value of x, one can think of. Unless one of the other methods of representation has already been given, the table alone is a partial representation of the subject matter.
- Graph
Just like the table is absent Too, the graph too cannot be attached, to avoid question deletion due to violating community guidelines. But the graph Too, on its own just shows a straight line graph of y and x, over a limited range of values. It stops after that and on its own, the graph wouldn't be able to outrightly represent the subject matter as we don't know if the relationship is linear forever, or not, from just seeing a graph of y against x over a very limited range.
Hence, it is evident that the table and the graph represent partial representations of the subject matter because, on their own, they do not provide the corresponding value of y for every given x.
Hope this Helps!!!
Por Favor! Alguém me ajuda.
Calcule o quadro da diferença de dois termos: (3a-b)²: A)9a²-6ab+b² B)9a²+6ab-b² C)-9a²+6ab+b² D)-9a²-6ab-b² E)9a²+6ab+b²
Answers
Answer:
The answer is A.
Step-by-step explanation:
You have to apply :
[tex] {(a - b)}^{2} ⇒ {a}^{2} - 2ab + {b}^{2} [/tex]
So for this question :
[tex] {(3a - b)}^{2} [/tex]
[tex] = {(3a)}^{2} - 2(3a)(b) + {(b)}^{2} [/tex]
[tex] = 9 {a}^{2} - 6ab + {b}^{2} [/tex]
factorise x^2-6 need help for my hegarty maths
Answers
you can't factorize it in rational numbers
Solve: g^2x + 1 = g^3x – 2
Answers
[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]
Evaluate g(x) = 1.8x3 -0.0034x + 0.5 for x = 1 and x=2
Answers
Answer:
g(1) = 2.2966
g(2) = 14.8932
Step-by-step explanation:
g(1) = 1.8(1)³ - 0.0034(1) + 0.5
g(2) - 1.8(2)³ - 0.0034(2) + 0.5
Plug those into a calc and you should get your answers.
Answer: 2.2966; 14.8932
Step-by-step explanation:
Suppose that F(x)=x^3 and G(x)=-2x^3. Which statement best compares the graph of G(x) with the graph of F(x)?
Answers
Answer:
Answer: Choice C)
Stretched vertically, flipped over x axis, shifted 7 units down
Step-by-step explanation:
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
What is the general equation of a Cubic function?A cubic function is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0. It has a degree of 3 and has 3 possible roots.
We have the following functions -
f(x) = x³
g(x) = -2x³
The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2. Refer to the graph attached.
Therefore, the graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.
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Find the simplest pattern and insert the missing term(s) of each sequence. 4, 7, 12, 21, 38, ___
I need help ASAP please <3.
Answers
Answer:
71
Step-by-step explanation:
4, 7, 12, 21, 38, ...
2+2=2¹+24+3= 2²+38+4= 2³+416+5= 2⁴+532+6= 2⁵+6next term:
2⁶+7= 64+7=71nth term:
2ⁿ+(n+1)Identify the domain of the function shown in the graph.
Answers
Answer:
b
Step-by-step explanation:
forgive me if im wrong, its been a long time since ive done these. it doesnt seem like theres any complex numbers so it shoild be all real #
Answer:
A. x >= 0
Step-by-step explanation:
The domain of a function is the set of values that are the x-coordinates of all the points f the function.
This function starts at x = 0 and goes on forever with greater values of x.
Answer: A. x >= 0
Maurice bought 25 shares of stock at $9.85 per share and sold them for $11.22 per share. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Answers
Solution: 25 × $9.85= $246.25 purchase price
25 × $11.22 = $280.5 sale price
$280.5 – $246.25 = $34.25 profit in dollars
$34.25 ÷ $246.25 = 0.139 = 13.9% ROI
Purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
What is purchase price?
" Purchase price is defined as the total amount paid to buy any product."
Formula used
Profit = Selling price - Purchase price
Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]
According to the question,
Total number of shares = 25
Purchase price of one share = 9.85 dollars
Selling price of 1 share = 11.22 dollars
Therefore,
Purchase price of 25 shares = (9.85 × 25 )dollars
= 246.25 dollars
Selling price of 25 shares = (11.22 × 25) dollars
= 280.5 dollars
Selling price > Purchase price
Therefore,
Profit = Selling price - Purchase price
= 280.5 - 246.25
= 34.25 dollars
Substitute the value in the formula we get,
Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]
= 13. 9 percentage ( nearest tenth)
Hence, purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
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3/4 of a worker's earning is #630. Find his total earning for the month
Answers
Answer:
840
Step-by-step explanation:
Let x be the total earning.
3/4 × x = 630
x = 630 × 4/3
x = 840
The worker’s total earning for the month is 840.
which number line represents the solution to the inequality
Answers
Explanation: x is greater than or equal to 5
A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the actual distance in km.
Answers
Answer:
8.75 km.
Step-by-step explanation:
You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].
Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:
[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.
However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.
How much bigger is 3/8 than 1/3 answer as a fraction
Answers
The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right -angled triangle b) The hypotenuse of the triangle is 19cm long. Calculate the length of the shortest side in the triangle
Answers
Answer:
8.5 cm
Step-by-step explanation:
Angles of the triangle:
x+2x+3x= 1806x= 180x= 3030°, 60° and 90°Right triangle as it has 90° angle
Sides are a, b and 19 cm
sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm = shortest sidesin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cmBoth Euclidean and non-Euclidean geometry have been accepted as valid types of geometry. True or False?
Answers
Answer: true
Step-by-step explanation:
Graph g(x)=−|x+3|−2 dude i absolutely hate graphing. Does anyone else do summer school algebra on keystone.? (Also i need help please)
Answers
Answer:
Graph using graphing calc or desmos.
Step-by-step explanation:
Answer:
your graph is below. i have algebra 2 on flvs.
Hi, can someone please answer this question? Thanks!!!
Answers
Answer:
m∠QPR = 20°
Step-by-step explanation:
Step 1: Find x
4x + 27 + 9x - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Step 2: Find m∠QPR
9(15) - 115
135 - 115
m∠QPR = 20°
lease help me for the brainliest answer
Answers
Answer:
aₙ= n²-6
Step-by-step explanation:
The sequence:
- 5, -2, 3, 10, 19, ...
The difference between terms:
3, 5, 7, 9
The next term would be: 19+11= 30
Let's work out the formula:
a₁= -5a₂= a₁+3= a₁+4-1= a₁+2²-1a₃= a₁+5= a₁+3+5= a₁+8= a₁+9-1= a₁+3²-1a₄= a₁+7= a₁+8+7= a₁+15= a₁+16-1= a₁+4²-1...sowe can put for nth term:aₙ= a₁+n²-1= -5+ n²-1= n²-6
Let's test this formula for 5th and 6th terms:
a₅= 5²-6= 25-6= 19a₆= 6² -6= 30So the nth term is:
aₙ= n²-6Which explains wether or not the graph represents a direct variation? LOOK AT THE PHOTO pls pls pls help
Answers
Answer:
The first choice.
Step-by-step explanation:
Direct variation is represented by y = kx where k is a constant and the graph passes through the origin.
Here k = 3..
Which of the following is a like radical to 6x2?
o x(V6x
(VR)
o 6
3
O
4
6x2
o x(VB)
Answers
Answer:
3
Step-by-step explanation:
calculate the volume:
(image will be inserted)
Answers
Answer:
D. 44 dm³
Step-by-step explanation:
Volume of cuboid equals:
a × h
4 × 11
= 44
The volume of the shape is 44 dm³.
I NEED HELP PLEASE, THANKS! :)
Answers
Answer:
2nd option: (0.5, 7), maximum; (2, 1) point of inflection; (3.5, -5), minimum.
Step-by-step explanation:
The maximum point, or a point of the graph with the highest y-value, is at
(0.5, 7).
The minimum point, or a point of the graph with the lowest y-value, is at
(3.5, -5).
The point of inflection is where the graph begins to change direction. This is at (2, 1).
Therefore, the 2nd option is correct.
Please help again! Same thing!
Answers
Answer:
a = - 3, b = 5
Step-by-step explanation:
To rationalise the denominator multiply the numerator/ denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }[/tex]
= [tex]\frac{10\sqrt{2}-\sqrt{36} }{2}[/tex]
= [tex]\frac{10\sqrt{2}-6 }{2}[/tex]
= 5[tex]\sqrt{2}[/tex] - 3
= - 3 + 5[tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]
with a = - 3 and b = 5
attachment help asap
Answers
Answer:
D, C, A, B
Step-by-step explanation:
Find common factor:
60 is the common denominator
2/5=24/60
2/3=40/60
1/4=15/60
1/10=6/60
Answer:
A. 2/5 = 0.4
B. 2/3 = 0.66
C. 1/4 = 0.25
D. 1/10 = 0.1
Arranging them in the box we have
D , C , A , B
Since D is the smallest followed by C followed by A followed by B which is the largest
Hope this helps