Answer:
Step-by-step explanation:
(a - b)² = a² -2ab + b²
Here, a = x and b = 1
(x -1)² = x² - 2 * x *1 + 1²
= x² - 2x + 1
[tex]\sf \longmapsto \:( x + 1) {}^{2} [/tex]
[tex]\sf \longmapsto(x+1)(x+1)[/tex]
[tex]\sf \longmapsto(x)(x)+(x)(1)+(1)(x)+(1)(1)[/tex]
[tex]\sf \longmapsto \: x {}^{2} +x+x+1[/tex]
[tex]\sf \longmapsto \: x {}^{2} +2x+1[/tex]
[tex] \boxed{ \boxed{ \red {\sf x {}^{2} +2x+1}}}[/tex]
When a cold drink is taken from a refrigerator, its temperature is . After minutes in a room its temperature has increased to . What is the temperature of the drink after minutes
Answer:
Step-by-step explanation:
Add the following fractions answer in lowest terms.
1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=
please give me Right answers please.
Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]
Karen purchased the DVD player shown in the sign on the right. Find the percent markdown rounded to the nearest percent. (SALE! Was $175.90. now $153.77)
HELP ME PLZZZ
Answer:
probably 2.................
Question is atttached below
Answer:
A. 20·60
Step-by-step explanation:
The product of force and distance is ...
[tex]F\cdot D=(20\text{ m})\cdot\dfrac{60\text{ kg$\cdot$m}}{\text{s}^2}=\dfrac{20\cdot60\text{ kg$\cdot$m$^2$}}{\text{s}^2}=\boxed{20\cdot60\text{ J}}[/tex]
Help me please Research
Answer:
i think the details given for the question is in sufficient or question is wrong
Please help help and thank you
Answer:
The first option you have selected should be correct. if any doubt comment.
Hiep is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning coordinates as given, where RS¯¯¯¯¯ is the midsegment of trapezoid KLMN. Trapezoid K L M N on the coordinate plane. The vertices of the trapezoid are K begin ordered pair 0 commas 0 ends ordered pair, L begins ordered pair 2a comma 0 end ordered pair, M begin ordered pair 2d comma 2c end ordered pair, and N begin ordered pair 2b comma 2c end ordered pair. Segment R S is drawn with point R on segment K N and point S on segment L M. Drag and drop the correct answers to complete the proof. Since RS¯¯¯¯¯ is the midsegment of trapezoid KLMN, the coordinates of R are (b, Response area) and the coordinates of S are (, c). The slope of KL¯¯¯¯¯ is the Response area. The slope of RS¯¯¯¯¯is 0. The slope of NM¯¯¯¯¯¯¯ is 0. The slope of each segment is 0; therefore, the midsegment is parallel to the bases. choices - a, b,c,d a+d, 0, 1, 2
Step-by-step explanation:
boy, that is hard to decipher ...
but from what I understood after a while of reading and re-reading, the proof is based on the equal slope (0) of all 3 lines showing that all 3 lines are parallel.
remember, the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, going from N to M :
x changes by (2d - 2b) units.
y changes by 0 units (2c to 2c).
so, the slope of NM is 0/(2d - 2b) = 0.
going from K to L :
x changes by (2a - 0) = 2a units.
y changes by 0 units (0 to 0).
so, the slope of KL is 0/2a = 0.
R and S are the middle points between K and N, and between L and M.
R = ((2b+0)/2, (2c+0)/2) = (b, c)
S = ((2d + 2a)/2, (2c + 0)/2) = ((d+a), c)
so, going from R to S :
x changes by (d+a-b) units.
y changes by 0 units (c to c).
so, the slope of KL is 0/(d+a-b) = 0.
as all 3 slopes are equal (and with being 0 also parallel to the x-axis), this proves that the line RS is parallel to its bases.
Hope I helped! Have a nice day! Really hope this helps k12 students!
DIRECTIONS: Use this information to answer Parts A and B.
Home sold for $286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate agent, which was 6%.
Question 1
Part A
How much commission did the real estate agent earn on the sale?
Part B
How do you know your answer is reasonable?
Answer:
268,840
Step-by-step explanation:
286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160
pre calc pls help me i really appreciate it
Answer:
[tex]a_{14} = 10496[/tex]
Step-by-step explanation:
A geometric sequence is of the form:
[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]
So the given values can be represent as:
[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]
So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.
[tex]a = \frac{-164}{r^{10}}[/tex]
Now replace [tex]a[/tex] in the first equation
[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]
You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.
[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]
For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.
[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]
After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.
[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]
There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month,1/3 of the remaining houses were sold. How many houses are left to be sold?
50 points!! :D
not sure how to do this :/
Answer:
1
Step-by-step explanation:
x - 5 = -2( x + 1 )
=> x - 5 = -2x - 2
=> x + 2x = 5 - 2
=> 3x = 3
∴ x = 1
FACTORISATION
i) Factorise:
4a(a-b)+3b(b-a)
4a(a - b) + 3b(b - a)
= 4a² - 4ab + 3b² - 3ab
= 4a² - 4ab - 3ab + 3b²
= 4a² - 7ab + 3b²
= (a - b) (4a - 3b)
________
Hope it helps ⚜
16 308/1000 as a decimal
Answer: 16.308
Step-by-step explanation:brainiest please
percent of change original:8 new :12
Answer:
?????????
Step-by-step explanation:
What are u asking
Round 2.37 to one decimal place.
2.4
When rounding, look at the next number. If the next number is 4 or less, the previous number stays the same. If it is 5 or more, the previous number rounds up by 1.
In this case, 7 is greater than 5 so you round 3 up to 4 getting 2.4
any of these please i don't get this
Answer:
33. $5.75
34. 15 ft
35. 8
36. 32
Step-by-step explanation:
These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.
__
33.You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...
x = cost of a milk shakey = cost of a sundaeThe given relations have to do with the prices of different quantities of these:
2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes
4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes
These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).
2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)
4y = 23.00 . . . . . . simplify
y = 5.75 . . . . . . . . . divide both sides by 4
The cost of an ice cream sundae is $5.75.
We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.
__
34.There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.
Volume of a cone of radius r and height h: V = 1/3πr²h
Volume of a cylinder of radius r and height h: V = πr²h
It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.
The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.
V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³
V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit
400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000
x = 2000(3/400) = 15 . . . . multiply by 3/400
The height of the top portion is 15 feet.
__
35.This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.
We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.
The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:
|g(-6)| = |-8| = 8 = |g(a)|
__
36.This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.
Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...
96x²/(ax) = 3x
Multiplying by ax gives ...
96x² = 3ax²
Dividing by 3x², we see that ...
(96x²)/(3x²) = (3ax²)/(3x²)
96/3 = a = 32
The value of 'a' is 32.
what is the slope of the line // take my points !!!!
Answer:
Im not sure
Step-by-step explanation:
Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?
Answer:
I think by mental math it would be 2.8 feet.
Step-by-step explanation:
5 tons of fertilizer cost $6,600.00. What is the price per pound?
Answer:
66 Cents per pound
Step-by-step explanation:
1 ton = 2,000 pounds
5 tons = 10,000 pounds
10,000 pounds = $6,600
1 Pound = $0.66
at the mud factory, people's job is to scoop up mud and make it into kilogram blocks of mud. She loves her job today there were 2,913 milligams of mud trucked in. Each mud block is precisely 1 kilogram, no less no more. How many mud blocks can she make today
Answer: 0 bricks
Step-by-step explanation:
2,913 milligrams (mg) is only 2.913 grams. It takes 1,000 grams to make a kilogram. 2,913 mg is only 0.002913 kg.
It t takes a snail 10 seconds to move 1 centimeter.
How many centimeters does said snail move after 2 seconds?
2.5?
answer is 0.2 using cross multiplication.
Answer:
in 2 seconds, the snail will only move 0.2 centimeters or 2 millimeters. And after 2.5, 0.25 centimeters, or 2.5 millimeters.
Step-by-step explanation:
Show me the
volume of a cube
with side lengths
of 2
Answer:
8
Step-by-step explanation:
v=l*w*h so 2^3=8
Please help me please help me
Answer:
C=66, C=25 1/7
Step-by-step explanation:
i
C=pi(d)
C=22/7*21
C=66
ii
C=pi(d)
C=22/7*16
C=25 1/7
3.
(03.06)
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form. (2 points)
f(x) = (x −8)2
f(x) = (x −4)2−13
f(x) = (x −4)2 + 3
f(x) = (x −4)2 + 16
Answer: f(x) = (x −8)2
Step-by-step explanation:
1 A function is represented by the following set of
ordered pairs.
{(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7
B y = 6x - 7
c y=2x - 7
Dy=2x-7
Answer:
C. y = 2x -7
Step-by-step explanation:
You can use any pair of points to find the slope. Use the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-7 -(-13))/(0 -(-3)) = 6/3 = 2
This is the coefficient of x in the slope-intercept form ...
y = mx +b
The second point (0, -7) tells you that b = -7, so the equation is
y = 2x -7 . . . . matches C
1 A function is represented by the following set of ordered pairs. {(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7B y = 6x - 7c y=2x - 7Dy=2x-7Therefore the answer i letter D.
#CarryOnLearning
Factorise 2x^2-9x-5 By Splitting The Middle Term.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required expression is ~
[tex] \boxed{(2x + 1)(x - 5)}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve ~
[tex]2 {x}^{2} - 9x - 5[/tex][tex]2 {x}^{2} - 10x + x - 5[/tex][tex]2x(x - 5) + 1(x - 5)[/tex][tex](2x + 1)(x - 5)[/tex]( xy-1 )^ 2 - ( y-1 ) ^2
help pleaseeeeeeeeeeee
[tex](xy-1)^2-(y-1)^2\\\\=(xy - 1 - y+1)(xy-1+y-1)~~~~~~;[a^2-b^2 = (a-b)(a+b)]\\\\=(xy-y)(xy+y-2)\\\\=y(x-1)(xy+y-2)[/tex]
9.
3
Here is a recipe for making 10 chocolate chip cookies.
Chocolate Chip Cookies
Makes 10 cookies.
100 g of flour
60 g of sugar
50 g of margarine
40 g of chocolate chips
g
2 eggs
Work out the amounts needed to make 15 chocolate chip cookies.
Answer:
you will half the recipe, so
50g flour
30g sugar
25g margarine
20g chocolate chips
1 egg
then add together. recipe for 15 cookies will be;
150g flour
90g sugar
75g margarine
60gr chocolate chips
3 eggs
Can someone reflect (7,6) across the x axis then reflect across the y axis
Answer:
(7, -6)
(-7, -6).............
..
Answer: -7,-6
Step-by-step explanation:
So if we look at a graph 7,6 is on the right upper quadrant since its completely positiv, once we relfect the x axis then it becomes 7,-6 then once we reflect across the why axis it finally becomes -7,-6
Resolver para y.
y-14=X
Answer:
y = x + 14
Step-by-step explanation:
y - 14 = x
y = x + 14