[tex] {8x}^{3} + 1 \\ = {(2x)}^{3} + {(1)}^{3} \\ = (2x + 1)( {(2x)}^{2} - 2x \times 1 + {(1)}^{2}) \\ = (2x + 1)( {4x}^{2} - 2x + 1)[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
9. Place the following numbers in descending order: 92, -2.02 , 81%, 1 12
GRAPHING LINEAR EQUATIONS PLEASE HELP
y=2/5x -3
how do i graph this? i don't know where to start please help!
Step-by-step explanation:
you can let
x = 0 => y = -3, point ( 0,-3)y = 0 => x = -15/2 = -7.5, point (-7.5,0)then connect this 2 points
Find the value of X and prove the following
The value of the variable x can be determined using the circle theorem to
determine the angle formed by x.
The correct responses are;
(1) x = 30°(2) x = 100°(3) x = 60°Reasons:
(1) From circle theorem, we have;
Equal chords subtends equal arcs and vice versaEqual chords subtend equal angles at the center of a circleTherefore;
Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at center = Angle subtended by [tex]\widehat {BC}[/tex] at the center;
Angle at the center = 2 × Angle at the circumferenceTherefore;
Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at the circumference = Angle subtended by [tex]\mathbf{\widehat {BC}}[/tex] at the circumference
Which gives;
x = 30°(2) [tex]\displaystyle \widehat {AB} = \mathbf{\widehat {CD}}[/tex] given
Angle subtended by arc [tex]\widehat {CD}[/tex] at the center = x
Equal arcs subtend equal angles at the center of a circle.
Therefore;
Angle subtended by arc [tex]\mathbf{\widehat {AB}}[/tex] at the center = x
Angle at center = 2 × angle at circumference
Therefore;
x = 2 × 50° = 100°
x = 100°
(3) [tex]\displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}}[/tex] given
By definition, we have;
Angle subtended by [tex]\widehat {AC}[/tex] at the center = 3 × Angle subtended by [tex]\widehat {AB}[/tex] at the center
According to circle theorem, we have;
Angle at the center = 2 × Angle at the circumference
Let y represent the angle subtended at the circumference by [tex]\widehat {AB}[/tex], we have;
y = 20°
[tex]\widehat {AB}[/tex] = 2·y
[tex]\widehat {AC}[/tex] = 3 × [tex]\widehat {AB}[/tex] = 3 × 2·y = 6·y
Therefore;
[tex]\widehat {AC}[/tex] = 6 × 20° = 120°
[tex]\widehat {AC}[/tex] = 120°
[tex]\widehat {AC}[/tex] = 2·x
Therefore;
2·x = 120°
[tex]\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}[/tex]
x = 60°
Learn more circle theorems here:
https://brainly.com/question/16879446
the table shows the daily temperatures for a city what is the mean absolute deviation for this data
A) 2
B) 10
C) 70
D) 71
B is the answer if you look at the data the test gives you
BRAINLIEST FIRST CORRECT ANSWER!
The list shows the ages of first-year teachers in one school system. What is the mode of the ages? 23, 42, 21, 25, 23, 24, 23, 24, 37, 23, 39, 51, 63, 24, 55
A.) 51
B.) 24
C.) 23
Answer:
23 is the answer of this question
Step-by-step explanation:
bye
Mode means the number that pops up the most repeatedly. In this case it's B.) 2 3
Which expression has been solved with the following number line?
Answer:
Step-by-step explanation:
Add 116 to 123 and then subtract it by the larger number and 323
The price of 50 litres of petrol is £36, find the price of each litre of petrol.
Jacoby made and sold x candy bars in one week. His profit, P, in dollars is calculated using the formula P = R-C
where R represents his revenue and C represents his costs. If R = 3x^2 – x+ 6 and C = -7x^2– 7x + 2. what is
the expression that represents his profit in dollars?
Answer: P = 10x^2 +6x + 4
Step-by-step explanation:
P = R-C
R = (3x^2 - x + 6)
C = (-7x^2 -7x + 2)
P = (3x^2 - x + 6) - (-7x^2 -7x + 2)
P = 3x^2 - x + 6 + 7x^2 +7x - 2
P = 10x^2 +6x + 4
compare:
1. 4 3/8 (__) 4 7/10
2. 3/10 (__) 25/100
3. 5/8 (__) 3/5
4. 8/12 (__) 6/9
Help me please, and thx for the help
1) 4 3/8 < 4 7/10
2) 3/10 > 25/100
3) 5/8 > 3/5
4) 8/12 = 6/9
hope this is helpful!
The temperature dropped 4 1/2 degrees each hour for 5 hours. By how many degrees did the temperature fall during those five hours?
Answer:
22.5
Step-by-step explanation:
You take the unit rate and multiple that by how many hours are going by. 4.5x5
If Kenny attempted 36 serves yesterday, how many serves did he make over the net?
Can someone please help me with this one ty!!
FAM I NEED YOU HELP POR FAVOR:
You purchase two bottles of sunscreen and a hat. The hat costs $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?
Answer:
I got you fam dont worry
Step-by-step explanation:
if you want me to show my work I dont mind at all but the answer is 4.50
Is there a relationship between deforestation and Global climate change
Answer:
There is a relationship between Deforestation and Global Climate Change.
Step-by-step explanation:
Deforestation is a cause of global climate change.
divide 2(1+2)
No calculator, if u use something bad, will happen to u
The answer would be 6.
[tex] \sf \huge{ question \hookleftarrow}[/tex]
If [tex] \alpha \: and \: \beta [/tex] are roots of a equation " ax² + by + c ", then find the value of the following in terms of a , b and c ~
[tex] \boxed{ \boxed{ \sf \sqrt{ \alpha} + \sqrt{ \beta } = \: ?}}[/tex]
[tex]\underline{\bf{Given \:equation:-}}[/tex]
[tex]\\ \sf{:}\dashrightarrow ax^2+by+c=0[/tex]
[tex]\sf Let\:roots\;of\:the\: equation\:be\:\alpha\:and\beta.[/tex]
[tex]\sf We\:know,[/tex]
[tex]\boxed{\sf sum\:of\:roots=\alpha+\beta=\dfrac{-b}{a}}[/tex]
[tex]\boxed{\sf Product\:of\:roots=\alpha\beta=\dfrac{c}{a}}[/tex]
[tex]\underline{\large{\bf Identities\:used:-}}[/tex]
[tex]\boxed{\sf (a+b)^2=a^2+2ab+b^2}[/tex]
[tex]\boxed{\sf (√a)^2=a}[/tex]
[tex]\boxed{\sf \sqrt{a}\sqrt{b}=\sqrt{ab}}[/tex]
[tex]\boxed{\sf \sqrt{\sqrt{a}}=a}[/tex]
[tex]\underline{\bf Final\: Solution:-}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}[/tex]
[tex]\bull\sf Apply\: Squares[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2= (\sqrt{\alpha})^2+2\sqrt{\alpha}\sqrt{\beta}+(\sqrt{\beta})^2[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2 \alpha+\beta+2\sqrt{\alpha\beta}[/tex]
[tex]\bull\sf Put\:values[/tex]
[tex]\\ \sf{:}\dashrightarrow (\sqrt{\alpha}+\sqrt{\beta})^2=\dfrac{-b}{a}+2\sqrt{\dfrac{c}{a}}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\sqrt{\dfrac{-b}{a}+2\sqrt{\dfrac{c}{a}}}[/tex]
[tex]\bull\sf Simplify[/tex]
[tex]\\ \sf{:}\dashrightarrow \underline{\boxed{\bf {\sqrt{\boldsymbol{\alpha}}+\sqrt{\boldsymbol{\beta}}=\sqrt{\dfrac{-b}{a}}+\sqrt{2}\dfrac{c}{a}}}}[/tex]
[tex]\underline{\bf More\: simplification:-}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\dfrac{\sqrt{-b}}{\sqrt{a}}+\dfrac{c\sqrt{2}}{a}[/tex]
[tex]\\ \sf{:}\dashrightarrow \sqrt{\alpha}+\sqrt{\beta}=\dfrac{\sqrt{a}\sqrt{-b}+c\sqrt{2}}{a}[/tex]
[tex]\underline{\Large{\bf Simplified\: Answer:-}}[/tex]
[tex]\\ \sf{:}\dashrightarrow\underline{\boxed{\bf{ \sqrt{\boldsymbol{\alpha}}+\sqrt{\boldsymbol{\beta}}=\dfrac{\sqrt{-ab}+c\sqrt{2}}{a}}}}[/tex]
The value [tex]\sqrt{\alpha } +\sqrt{\beta }[/tex] in terms of a, b and c is [tex]\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
Roots of a quadratic equation
Given the quadratic equation ax² + bx + c, the sum and product of the roots are expressed as:
[tex]\alpha +\beta =-\frac{b}{a} [/tex][tex]\alpha \beta =\frac{c}{a} [/tex]Get the value of the radical expression [tex]\sqrt{\alpha } +\sqrt{\beta } [/tex]
Taking the square of the expression will give:
[tex](\sqrt{\alpha } +\sqrt{\beta } )^2=(\sqrt{\alpha } )^2+(\sqrt{\beta } )^2+2\sqrt{\alpha \beta} [/tex]Take the square root of both sides:
[tex]\sqrt{(\sqrt{\alpha } +\sqrt{\beta } )^2} =\sqrt{(\sqrt{\alpha } )^2+(\sqrt{\beta } )^2+2\sqrt{\alpha \beta} } \\ \sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(\alpha }+{\beta} )+2\sqrt{\alpha \beta} } \\[/tex]
Substitute the product and the sum values into the expression to have:
[tex]\sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(-\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\\sqrt{\alpha } +\sqrt{\beta }=\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
Hence the value [tex]\sqrt{\alpha } +\sqrt{\beta }[/tex] in terms of a, b and c is [tex]\sqrt{{(\frac{b}{a})^2 } +2\sqrt{\frac{c}{a} } } \\[/tex]
Learn more on the roots of equation here: https://brainly.com/question/25841119
Someone Plz help me
Using the tables to answer the question, the correct option is D.
Only table B represents a function
A relation/table will represent a function if each value of x is attached to a unique value of y.
That is, no value of x must be mapped to more than one value of y.
By considering the tables represented
Set A = {(-5, 2), (-8, 5), (-5, 8)}
As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.
Set B = {(-5, 2), (-8, 5), (-11, 2)}
As shown above, all values of x have different values of y. Therefore, table B represents a function.
Learn more here: https://brainly.com/question/25902874
heres a list of numbers 8,7,12,7,11,10,7,12Find median,mean,range and mode
Answer:
There it gose
Step-by-step explanation:
Form 8B were investigating how a metal bar expands while being heated. The bar
was originally 30 cm in length and it expanded to 31.75 cm.
Calculate the percentage increase in length. Give your answer correct to 1 decimal
place.
Answer:
5.8%
Step-by-step explanation:
to work out percentage increase:
(new value - original value) ÷ original value and times it all by 100
((31.75-30) ÷ 30) × 100
=5.8% (1dp)
WILL MARK BRAINLIEST!!! PLS HELP. ANY LINKS OR WRONG ANSWERS WILL BE REPORTED !!
Answer:
When reflected across the y-axis the point would be at (9,0)
if i have decent grades, but miss a lot of school
will they fail me???
Answer:
I think it's no
Step-by-step explanation:
because you will study hard
A survey of 2,541 American households discovered that 64% of the households own one car.
what is the population?
what is the sample?
Answer:
See below
Step-by-step explanation:
The population is all American households
The sample is 2,541 of those American households
A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the company is paid. The expression is?
Answer:
3000 +219d
Step-by-step explanation:
The food booth rental revenue is ...
11(100 +9d) = 1100 +99d
The game booth rental revenue is ...
20(95 +6d) = 1900 +120d
Then the total revenue is ...
(1100 +99d) +(1900 +120d) = 3000 +219d
Adrian purchases a book for $4.86 and a poster for $3.44. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)
Answer:
$6.70
Step-by-step explanation:
Adrian purchases a book for 4.86 and a poster for 3.44
The total amount he owes would be 4.86 + 3.44 = $8.30
If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.
You are virtually racing against your friend who lives on Spain where they use the metric system. You measured that you ran 430 feet per minute and your friend measured that they ran 6.5 kilometers per hour. Which of you is faster?
Evaluate the expression for the given value of x.
0.6x + 6.2 for x = -1
The solution is
Answer:
5.6
Step-by-step explanation:
if x is -1. multiply -0.6 * -1. Which is -0.6.
Then add -0.6 and 6.2 and the answer you would get is 5.6.
A standard die is rolled find the probability that the number rolled is greater than 4 Express your answer as a fraction in lowest terms or a decimal number rounded to three decimal places if necessary
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A standard die has 6 numbers, so the probability it will be greater than 4 is 6-4, or 2. Therefore the answer is [tex]\frac{2}{6}[/tex], but this can be simplified to [tex]\frac{1}{3}[/tex].
Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?
Answer:
Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?
Step-by-step explanation:
Multiply: 14(0.25). If you missed this problem, review Example 5.3.5.
Simplify: 100(0.2 + 0.05n). If you missed this problem, review Example 7.4.6.
Solve: 0.25x + 0.10(x + 4) = 2.5 If you missed this problem, review Example 8.6.8.
Imagine taking a handful of coins from your pocket or purse and placing them on your desk. How would you determine the value of that pile of coins?
If you can form a step-by-step plan for finding the total value of the coins, it will help you as you begin solving coin word problems.
One way to bring some order to the mess of coins would be to separate the coins into stacks according to their value. Quarters would go with quarters, dimes with dimes, nickels with nickels, and so on. To get the total value of all the coins, you would add the total value of each pile.Figure 9.3.1 - To determine the total value of a stack of nickels, multiply the number of nickels times the value of one nickel.For coins of the same type, the total value can be found as follows:
number⋅value=totalvalue(9.3.1)
where number is the number of coins, value is the value of each coin, and total value is the total value of all the coins.
You could continue this process for each type of coin, and then you would know the total value of each type of coin. To get the total value of all the coins, add the total value of each type of coin.
Let's look at a specific case. Suppose there are 14 quarters, 17 dimes, 21 nickels, and 39 pennies. We'll make a table to organize the information – the type of coin, the number of each, and the value.
Table 9.3.1
Type Number Value ($) Total Value ($)
Quarters 14 0.25 3.50
Dimes 17 0.10 1.70
Nickels 21 0.05 1.05
Pennies 39 0.01 0.39
6.64
How would you determine the value of each pile? Think about the dime pile—how much is it worth? If you count the number of dimes, you'll know how many you have—the number of dimes.
But this does not tell you the value of all the dimes. Say you counted 17 dimes, how much are they worth? Each dime is worth $0.10 —that is the value of one dime. To find the total value of the pile of 17 dimes, multiply 17 by $0.10 to get $1.70. This is the total value of all 17 dimes.
Find the value of x. Please help me. I can’t find the answer.
Answer:
Step-by-step explanation:
The two sides opposite the angles marked as equal are themselves equal
4x + 8 = 48 - x Add x to both sides
4x + x + 8 = 48 Combine
5x + 8 = 48 Subtract 8 from both sides.
5x + 8 - 8 = 48 - 8 Combine
5x = 40 Divide by 5
5x/5 = 40/5
x = 8
PLEASE HELP ASAP! I WILL MARK YOU BRAINLIEST.
Answer two questions about Equations A and B
A. 2x-1=5x
B.-1=3x
1)How can we get Equation B from Equation A?
Choose 1 answer:
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
Answer:
2x-1=5x
-1=3x
1.A. we take away 2x from both sides
2.A they are the same sine they both have the same solution of -1/3
Hope This Helps!!!
Answer:
Rewrite one side by combining like terms A yes the equations are equivalent meaning they have the same solution
Step-by-step explanation:
Hope this helped