x ^ 2–2x + 1
by splitting this equation
x ^ 2 - x -x + 1
there are a two terms x ^ 2 - x and - x + 1
we take x is common from first and -1 is common from second
x ( x - 1 ) and -1 ( x-1 )
the quadratic roots are (x-1) and (x-1)
x - 1 = 0
x = 1 in both
Therefore , the quadratic roots are 1 , 1 .
A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.
A graph titled Customer Rewards. The horizontal axis shows ounces of yogurt purchased, numbered 2 to 22, and the vertical axis shows Total Spent (dollars) numbered 1 to 11. A line begins at 0, extends to 5 dollars spent at 10 to 12 ounces, and ends at 9 dollars spent at 20 ounces.
Which statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt?
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Answer:
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
did the test on edge
1,11,111,1111 what is the next to terms in the sequence and is it geometric or Arithmetic
Lines e and m are intersected by transversalt and ei m.
e
m
1
3
2.
5
4
7
6
8
If m_2 = 112, what is m_7?
a 4.5 pound of apples costs $22.50. how many pounds for a dollar?
Answer:
.2 lbs
Step-by-step explanation:
4.5/22.5
0.2 pounds as 4.5 / 22.5 = 0.2
A group of workers can plant 56 acres in 7 days what is their rate in acres per day?
18 less than a number
Answer:
Step-by-step explanation:
The answer is simple
18 - 1 = 17
Answer:
18<b
Step-by-step explanation:
b can repersent any number and you can use any letter in replace of b.
Hope this helps!
11) The sum of three consecutive integers is 13 greater than twice the smallest of the three integers. Find the integers.
Answer:
The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.
x + (x+1) + (x+2) = 2x + 13
3x + 3 = 2x + 13:
3x - 2x = 13 - 3
x = 10 is the smallest integer:
Check: 10 + 11 + 12 = 2(10) + 13
The integers will be equal to 10, 11, and 12 respectively.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The sum of 3 consecutive integers is 13 more than twice the smallest integer. The integer will be calculated as below:-
x + (x+1) + (x+2) = 2x + 13
3x + 3 = 2x + 13:
3x - 2x = 13 - 3
x = 10 is the smallest integer:
Check: 10 + 11 + 12 = 2(10) + 13 = 33
Therefore, the integers will be equal to 10, 11, and 12 respectively.
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Create three different expressions that are each equal to 20. Each expression should include only these three numbers: 4, -2, and 10.
Answer:
Step-by-step explanation:
you could do;
10 x -2 = 20
-2 x (-2) x 10 divided by (-2) + 10 + 10 + 10 +10 =20
4 + 4 - 10 x -2 - 4 - 4 = 20
HELP!!!! :( I will give 5 stars!
According to cell theory, all cells come from:
A.
water.
B.
soil.
C.
chemical reactions.
D.
pre-existing cells.
Answer:
pre-existing cells
Step-by-step explanation:
Answer:
D. pre-existing cells
Step-by-step explanation:
According to the cell theory all living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms. I hope this helps!
which function represents the graph below?
Y=1/2x+1
The answer is
Please help me with my homework
A) 1st one
B) 2nd one
C) and im too lazy to do c
Answer:
6 x 10^-6 is a greater value
2 x 10^-8 is the lesser value
I'm not sure about the third one
F (2) =
(please give an explanation i'm confused)
Answer:
I think it would be like f x2 so you would reorder the term and get 2f
Step-by-step explanation:
Tim's mother, using the odometer in the car,
measured the distance between their house and
Tim's school to be 12.8 miles. Tim then
converted the distance in miles to inches, there
are 63,360 inches in each mile.
Which of the following values would be an
approximate and appropriate representation of
the distance in inches that Tim calculated?
A. 811,008 inches
B. 811,000 inches
C. 810,000 inches
D. 800,000 inches
Answer:
A
Step-by-step explanation:
the reason for this equations answer to be A is because if you take the inches in one mile 63,360 and multiple it by the miles that it takes to get the school 12.8 you'll get 811,008.
Kyree can run ⅓ of a mile in 2 minutes. How long does it take Kyree to run 1 mile?
Answer:
6 mins
Step-by-step explanation:
1 = 3/3
3/3 / 1/3 = 3/1 = 3
3 x 2 = 6
i need help with this also. (homework due tomorrow)
Answer:
Using Pyhagoras theoram,
(H)^2 = (B)^2 + (P)^2
B = 13 in
P = 5 in
[tex](h)^{2} = (13)^{2} + {(5)}^{2} \\ = > (h)^{2} = 169 + 25 \\ = > (h)^{2} = 194 \\ = > h = \sqrt{194} \\ = > h = 13.92[/tex]
Hence, the missing side is 13.92 inhes.
Answer:
13.93
Step-by-step explanation:
[tex]5^{2} + 13^{2} = c^{2}[/tex]
[tex]25 + 169 = 194 = c^{2}[/tex]
[tex]\sqrt{194} = c^{2}[/tex]
[tex]13.92838827718 = c[/tex]
then round up to 13.93
Which equation correctly applies the distributive property?
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
Answer:
70.2
Step-by-step explanation:
Anwhat wht
Step-by-step explanation:
ithinkithink ok sure
Which fraction is equivalent to
2/-6?
Answer:
-2/6
Step-by-step explanation:
simplify
the 6 is an exponent
(3x5)^6
Answer:
1/225
Step-by-step explanation:
help me with this??
Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 minutes Ye is 2 miles from home. Which equation models his distance from home y, in terms of minutes, x?
Answer:
[tex]y = -\frac{1}{5}x + 5[/tex]
Step-by-step explanation:
Given
[tex]5\ minutes = 4\ miles[/tex]
[tex]15\ minutes = 2\ miles[/tex]
Required
Determine the equation
y represents distance
x represents time
So, the given parameters can be modeled (x,y) as:
[tex](x_1,y_1) = (5,4)[/tex]
[tex](x_2,y_2) = (15,2)[/tex]
First, we need to determine the slope of the function.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - 4}{15 - 5}[/tex]
[tex]m = \frac{-2}{10}[/tex]
[tex]m = -\frac{1}{5}[/tex]
The equation can be determined using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = -\frac{1}{5}[/tex]
[tex](x_1,y_1) = (5,4)[/tex]
[tex]y - y_1 = m(x - x_1)[/tex]
becomes
[tex]y - 4 = \frac{-1}{5}(x - 5)[/tex]
Open bracket
[tex]y - 4 = -\frac{1}{5}x + 1[/tex]
Solve for y
[tex]y = -\frac{1}{5}x + 1 + 4[/tex]
[tex]y = -\frac{1}{5}x + 5[/tex]
Anyone know how to do??
Answer:
30°
Step-by-step explanation:
Step 1:
2x + 10 + 4x + 80 = 180 Sum of a line
Step 2:
6x + 90 = 180 Combine Like Terms
Step 3:
6x = 90 Subtract 90 on both sides
Answer:
x = 30° Divide
Hope This Helps :)
Unit 3 Closing Activity
Your task is to package 36 cans of tennis balls for shipping. Each tennis ball can contain 3 tennis balls.
You must box them in two rows of 18 cans.
When you go to the box store to purchase a box, you notice that the boxes come in a variety of sizes. All dimensions are in multiples of 6” (ie. 6”, 12”, 18”, etc.). Assume the diameter of one tennis ball is 3 inches. Use 3.14 as the value of .
When talking to the shipping clerk, you find out that there is an extra charge for any extra space in the shipping box that is not taken up by the cans because they have to fill that space in with a filler. Since you are on a tight budget, you want to spend the least amount of money as possible to ship this box.
Your task:
Choose the size box that fits the cans for your shipment.
L= W= H=
2) Determine how much extra space there is in your box after you have put the cans in
Answer:
1) L = 54", W = 6", H = 9"
2) Extra Space = 1389.96 in³
Step-by-step explanation:
1)
LENGTH:
Since, there will be 18 balls along the length of box. Therefore,
Length = L = (18 balls)(Diameter of 1 ball) = (18)(3'')
L = 54"
WIDTH:
Since, there will be 2 rows of cans, and hence, 2 balls along the width of box. Therefore,
Width = W = (2 balls)(Diameter of 1 ball) = (2)(3'')
W = 6"
HEIGHT:
Since, each can can hold 3 balls along the height of box. Therefore,
Height = H = (3 balls)(Diameter of 1 ball) = (3)(3'')
H = 9"
2)
First we calculate the total volume of box:
Total Volume = L*W*H = (54")(6")(9") = 2916 in³
Now, we calculate volume of one ball:
Volume of 1 Ball = (4/3)π(d/2)³ = (4/3)π(3"/2)³ = 14.13 in³
Now, we calculate the total number of balls in box:
No. of Balls = (Balls along length)(Balls along width)(Balls along height)
No. of Balls = (18)(2)(3) = 108 balls
Now, we calculate the total volume of box occupied by balls:
Total Volume occupied by Balls = (No. of balls)(Volume of 1 Ball)
Total Volume occupied by Balls = (108)(14.13 in³)
Total Volume occupied by Balls = 1526.04 in³
Hence, the extra space will be:
Extra Space = Total Volume of Box - Total Volume Occupied by Balls
Extra Space = 2916 in³ - 1526.04 in³
Extra Space = 1389.96 in³
GUYS WILL U PLS HELP ME I AM IN DESPERATE NEED OF iT!!!!!!!
Your Assignment
The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
2. Estimate Mercury's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
3. Use your estimates to find out how many times more massive Jupiter is than Mercury. Express your answer in standard form (without using a power of 10). Show your work.
Write your answer in the space below.
Answer:
1)2 x 10^27 kg
2)3.30 x 10^23 kg
3)Jupiter is 5,751.51 times more massive than Mercury
Step-by-step explanation:
1)Mass of Jupiter is 2 x 10²⁷ kg.
2)Mass of mercury is 3.30 x 10²³ kg.
3)Jupiter is 5,751.51 times more massive than Mercury.
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using mathematical symbols.
1. Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The scientific notation is:- 2 x 10²⁷ kg.
2. Mercury, has a mass of about 330,000,000,000,000,000,000,000 kg.
The scientific notation is:- 3.30 x 10²³ kg.
Divide Jupiter's mass by the mass of mercury.
Jupiter / Mercury = 2 x 10²⁷ / 3.30 x 10²³
Jupiter / Mercury = 5,751.51
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pls help me out its needed
Answer:
150 students
Step-by-step explanation:
30%+60%=90%
15=10%
multiply by 100 on both sides then simplify
sorry if it’s hard to read but can anyone help me with number 18?
Answer:
14
Step-by-step explanation:
Given the equation of a linear function in standard form 2x + 3y = 12, solve for y. Select all that apply
Which set of numbers does NOT contain 75?
Answer:
The one that doesn't contain 75
Step-by-step explanation:
uhh don't know
Please help! I need to multiply these with step by step work (x^2+2x+8)(x^2-x+1)
Answer:
x^4+x³+7x²-6x+1
Step-by-step explanation:
(x²+2x+8)(x²-x+1)
distribute
x²(x²-x+1)
x^4-x³+x²
2x(x²-x+1)
2x³-2x²+2x
8(x²-x+1)
8x²-8x+1
x^4-x³+x²+2x³-2x²+2x+8x²-8x+1
combine like terms
x^4+x³+7x²-6x+1
Please help me with this
Answer:
B.
[tex](x + 2) ^{3} - 9 [/tex]