Answer:
1) As it is the coeficient of x² is 1, we need to find two numbers whose Sum S(x)=3 and the same numbers whose product is 2, P(x)= 2
S(x) = ( ) + ( ) =3
P(x) = ( ) * ( ) =2
S(x) = ( 2 ) + ( 1 ) =3
P(x) = ( 2 ) * ( 1 ) =2
These numbers in bold will be coeficients of x.
Rewrite the Trinomial x²+ 3x +2 as x² +2x+1x+2
So x²+3x+2 =x²+2x+1x+2
x² +2x+x+2 Put the x in evidence
x(x+2)+1(x+2) Find the Maximum Common Divider
(x+1)(x+2)
2) x²+x-6=0
Applying the same procedure. Which two integer number whose sum is 1 and whose Product is -6?
S(x) = ( 3 ) + ( -2 ) =1
P(x) = ( 3 ) * ( -2 ) =-6
Rewrite
x²+x-6
x²+3x-2x-6 Group them
x(x+3)-2(x+3) Common Term
(x+3)(x-2)
3) Since the a coeficient is ≠ 1, a little adjustment must be made on our algorithm for -2x²+4x+30=0
Firstly multiply a*c, in this case -2 * 30 = -60
Which two numbers multiplied by themselves will turn out to be -60 and whose sum is -60? Since we're working with integers factoring out may be very helpful.
P(x)= ( 10 ) * ( - 6 ) = -60
S(x) = ( 10 ) + ( -6 ) = 4
Rewriting
-2x²+10x-6x+30 Group them
2x(x+5) -6(x+5)
(2x-6)(x+5) Inserting the -1 to finally adjust
-1(2x-6)(x+5)
4) Explanation is the same principle as a≠1
3x²+4x-4=0
P(x) = ( 6 ) * (-2 ) = -12
S(x) = ( 6 ) + ( -2 ) = 4
3x²+4x-4 = 3x²+6x-2x-4
3x²+6x -2x+4
3x(x+2)-2(x-2)
(3x-2)(x+2)
The other ones are just applications of these, above.
Step-by-step explanation:
Will give brainiest for this question and my other question too!
BC=
4. Given the figure and DG = 23
D 2x-9 0
x + 3
G
X =
DO =
OG =
Answer:
x = 13
DO = 7
OG = 16
Step-by-step explanation:
If the sum of the entire figure is DO + OG = 23, then we can create the equation:
(2x-19)+(x+3)=23
From this equation, we can identify that x = 13.
We can use this information to find your final answers of...
x = 13
DO = 7
OG = 16
what is 6,973 ×62 equal to
Answer:
432326
Step-by-step explanation:
i just times them together
Answer:
that should be 432,326
Step-by-step explanation:
I do not rly know how to the calculator on this app properly yet but I will try my best to explain it
×6973
62
3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13
and you get this first
13946
and you also multiply your 6 by all the numbers above giving you
41838
so you arrange it like this and get
13946
41838
and you add it together giving you
432,326.
and the third picture should be your answer.
Using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?
Answer:
i can help you
Step-by-step explanation:
mabey its hard for you
1. Suppose that the time required to drive across town is uniformly distributed between 12 and 20 minutes. What is the simulated (average)
time to cross town using the following random numbers: 0.21 0.53 0.05 0.89 015 0.73 0.06 0.28 0.81 0.74 (rounded to 2 decimal place)
Using the mean concept, it is found that the simulated average time to cross town is of 0.445.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, the 10 values of the simulation are given by:
0.21 0.53 0.05 0.89 0.15 0.73 0.06 0.28 0.81 0.74
Hence, the mean is given by:
M = (0.21 + 0.53 + 0.05 + 0.89 + 0.15 + 0.73 + 0.06 + 0.28 + 0.81 + 0.74)/10 = 0.445.
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PLEASE HELP 10 POINTS!!
Answer:
I think its c but not really sure but ill calculate it if I ever had the chance
inverse function of f(x)=3x-2
Step-by-step explanation:
so......im not certain about my solution,but this is what I think
f(x)=3x-2
replace f(x) with the latter Y
so its gonna be...y=3x-2
make x subject of the fomula
so is gonna be...y=3x-2
y-2=3x
x = y-2 3expression - 50 + 5/13p is equal to ____ when p = -26
Answer: : it’s 40
hope this helps :)
Step-by-step explanation: Just substitute the variable with the number and use pemdas.
First you have to multiply 5/13 by -26, then add 50 to what you get.
If the length of a rectangle is 2x + 4 and the width is x - 2. write
an expression to represent the perimeter of the rectangle.
Will Give BrainlyIst
Answer:
P = 6x +4
Step-by-step explanation:
Use the given values in the formula for the perimeter of a rectangle:
P = 2(L +W)
__
You have ...
L = 2x +4
W = x -2
So, the perimeter is ...
P = 2((2x +4) +(x -2)) = 2(3x +2)
P = 6x +4
The perimeter of the rectangle is 6x+4.
Mayerlin models the volume of a popcorn box as a right rectangular prism and the box can hold 49 cubic inches of popcorn when it is full. Its length is 2\frac{3}{4}2
4
3
in and its height is 5\frac{1}{2}5
2
1
in. Find the width of the popcorn box in inches. Round your answer to the nearest tenth if necessary.
The width of the popcorn box that Mayerlin models given its dimensions and the volume is 3.2 inches.
What is the width?A rectangular prism is a three-dimensional shape that is made up of six faces and 12 sides.
Volume = length x width x height
Width = volume / (length x height)
49 / (2 3/4 x 5 1/2) = 3.2 inches
49 To learn more about rectangular prisms, please check: https://brainly.com/question/8890358
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Answer:3.2
Step-by-step explanation:
Look at the diagram. Which angle is supplementary to
Angle AOD
Angle AOB
Angle BOA
Angle AOE
Answer:
A supplementary angle plus another angle = 180 degrees
Angle AOB is the supplementary angle
A straight line = 180 degrees so,
So angle AOD + angle AOB = 180 degrees
Angle AOB is the supplementary angle.
Step-by-step explanation:
help me plsssssssssssssssssssss
Answer:
can i please have somepoints
Step-by-step explanation:
i need to get an answer to a question and if i don't i might fail a really hard test
Answer:
19/29 probability of bieng an only child
Step-by-step explanation:
Hector is sowing grass seed in his yard. A bag of grass seed
covers an area of 50 square feet. Hector's front yard is
49 feet long and 11 feet wide. He will not be planting grass
in his backyard. How many bags of grass seed will Hector
need, rounded up to the nearest bag?
a. 9 bags
b. 10 bags
c. 11 bags
The length of a rectangle is 2 yd longer than its width.
If the perimeter of the rectangle is 48 yd, find its length and width.
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E
To find the ground speed of the plane, we need to know what a vector is
What is a vector?A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and y = -300 kph.So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the planeIts direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E
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Answer:
A on edge 2022
Step-by-step explanation:
323 kph and 22 E
Figure out this equation I already attempted to do it multiple times
Here's the link to the answer:
https://riverside.rocks/index.php
7 > −3; Subtract 7 from both sides.
The resulting inequality is :
Answer:
0 > -10
True
Step-by-step explanation:
7 > -3 Starting with a true statement. This math sentence says, "7 is greater than -3"
7 > -3
-7 -7 Subtract 7.
Working vertically now (from the top, down)
7 > -3
-7 -7
_______
0 > -10
Because 7-7 is 0 on the left side. And
-3-7 is -10 on the right side. This statement is true, because zero is bigger than -10.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the lateral area the regular pyramid.
LA. =
Answer:
Lateral surface area = [tex]18\sqrt{91}[/tex] units²
= 171.71 units²
Step-by-step explanation:
Lateral area: total surface area excluding its base
Find the radius (circumradius) of the regular hexagonal base. Use this to find the slant edge of the pyramid, then use the slant edge to find the slant height and thus the area of each face.
Radius of a regular polygon: distance from its center to its vertices.
[tex]\textsf{Radius of a regular polygon}=\dfrac{s}{2 \sin \left(\dfrac{180^{\circ}}{n}\right)}[/tex]
where:
s = side lengthn = number of sidesGiven:
s = 6 unitsn = 6[tex]\implies \textsf{Radius}=\dfrac{6}{2 \sin \left(\dfrac{180^{\circ}}{6}\right)}=6\:\sf units[/tex]
Use Pythagoras' Theorem to find the slant edge:
[tex]\begin{aligned}\textsf{Slant edge} & =\sf \sqrt{r^2+h^2}\\& = \sqrt{6^2+8^2}\\ & = 10\:\sf units\end{aligned}[/tex]
Use Pythagoras' Theorem to find the slant height:
[tex]\begin{aligned}\textsf{Slant height} & = \sqrt{\textsf{slant edge}^2-\left(\dfrac{s}{2}\right)^2}\\& =\sqrt{10^2-3^2}\\ & =\sqrt{91}\: \sf units\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area of one face} & = \dfrac{1}{2} \times s \times \textsf{slant height}\\\\ & = \dfrac{1}{2} \cdot 6 \cdot \sqrt{91}\\\\ & = 3\sqrt{91}\: \sf units^2\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Lateral Surface Area}& = 6 \times \textsf{area of one face}\\ & = 6 \cdot 3\sqrt{91}\\ & = 18\sqrt{91}\\ & =171.71\: \sf units^2\:(nearest\:hundredth)\end{aligned}[/tex]
Help please?????????
Translate into an Algebraic equation: The quotient of a number and 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Translate into an algebraic equation:-
The quotient of a number and 5.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
✳︎ First, the word "quotient" indicates that we divide.
Here, we have the quotient of a number and 5, so we divide the number by 5; let the number be d.
So the quotient of d and 5 looks as follows:-
[tex]\bold{\dfrac{f}{5}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
In the lab carmen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much solution a as solution b. Solution a is 17% alcohol and solution b is 14% alcohol. How many milliliters of solution b does she use if the resulting mixture has 455 milliliters of pure alcohol?
Answer:1200
Step-by-step explanation:i might be wrong pls dont hurt me
You may use k to represent the constant of variation in your working if necessary.
Answer:
r = 1.6
Step-by-step explanation:
given r varies directly with m² and inversely as n then the equation relating them is
r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation
to find k use the condition r = 18 when m = 6 and n = 4 , then
18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
72 = 36k ( divide both sides by 36 )
2 = k
r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation
when m = 2 and n = 5 , then
r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6
Help! Please i need it badly
Answer:
you should take the time and study
Step-by-step explanation:
help me please :/
Dana is training to run a marathon. On Monday, she ran 10.2 miles. On Tuesday, she ran 11.4 miles. On Wednesday and Thursday, she ran 11.8 miles each day. On Friday, she ran 12.3 miles. Round each amount to the nearest whole mile to find a reasonable estimate of the total number of miles Dana ran over this five-day period.
Answer:
57 miles.
Step-by-step explanation:
to find
⇒ total number of miles dana ran
given
⇒ monday = 10.2 miles
⇒ tuesday = 11.4 miles
⇒ wednesday and thursday = 11.8 miles
⇒ friday = 12.3 miles
∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3
⇒ 57.5
⇒ 57 miles
Evaluate the determinant
Kenneth bought 15 chicken sandwiches and tuna sandwiches for $35.10. Each chicken sandwich costs $2.30 and each tuna sandwich costs $2.40. How many chicken sandwiches did Kenneth buy?
Help! Can you do a guess and check? Awarding 20 points!
NONSENSE=REPORT
Answer:
the number of chicken sandwiches = 9
Step-by-step explanation:
let x be the number of chicken sandwiches
y be the number of tuna sandwiches
We have to solve this system:
[tex]\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}[/tex]
Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
The x-coordinate of the vertex of the graph of y = −2x2 − 4x + 12
Column #2
The x-coordinate of the vertex of the graph of y = x2 − 4x + 3
A. The value found in column #1 is greater than the value found in column #2.
B. The value found in column #1 is less than the value found in column #2.
C. The value found in column #1 is equivalent to the value found in column #2.
D. The relationship between column #1 and column #2 cannot be determined by the information given.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree
The equation of curve 1, which is in the shape of a parabola is, when represented in general form
[tex]y = -2x^2 - 4x + 12\\\\y = -2(x^2 - 2x + 6)\\\\\dfrac{y}{-2} = (x^2 - 2x + 6)\\\\\dfrac{y}{-2} +7=(x+1)^2[/tex]
So,
x+1=0
x= -1
and,
y = 14
Therefore, the Coordinate of a vertex is (-1,14).
The x-coordinate of the vertex of the function [tex]y = -2x^2 - 4x + 12[/tex] is equal to -1.
The equation of curve 2 , which is in the shape of a parabola is , when represented in general form
[tex]y = x^2 - 4x + 3\\\\y =( x-2)^2-1\\\\y+1 =( x-2)^2[/tex]
So,
x-2=0
x= 2
and, y+1=0
y= -1
Therefore, the Coordinate of a vertex is (2,-1).
The x-coordinate of the vertex of the function [tex]y = x^2 - 4x + 3[/tex] is equal to 2.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
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A store buys a bike for $140. They mark up the bike 25%. What is the selling price?
Answer:
$175
Step-by-step explanation:
Original Price = $140
Mark up (% increase) = 25%
Selling Price = Original Price (1 + Mark up)
SP = 140 (1 + 25%)SP = 140 (1 + 0.25)SP = 140 (1.25)SP = $175Look at the rectangle. Write how many.
How many rows?
How many columns?
How many square tiles
There is only one row
3 columns
and 3 square tiles
Justine bought a pair of boots for $76.68 and paid 13% sales tax. What was the price of these boots including tax?
Answer: $86.65
Step-by-step explanation:
First, find how much Justine paid in tax. To do this, first convert 13% to a decimal by dividing by 100. This gets a tax rate of 0.13. Now, multiply the price of the boots by the tax rate. 76.68*0.13 = 9.9684. Round to the nearest cent to get $9.97.
Now, add the amount paid in tax to the price of the boots. 76.68+9.97 = $86.65.
please help me i’ll give you brainlist
Answer:
f(x ) ----> Output
x -----> Input
-5 -------> Slope
2 --------> y -intercept
Step-by-step explanation:
f(x) = -5x + 2
Compare this with y = mx + b
m = slope = co efficient of x
b = y-intercept = constant term
f(x ) ----> Output
x -----> Input
-5 -------> Slope
2 --------> y -intercept