Answer:
Step-by-step explanation:
x³ + y³ = (x + y)(x² - xy + y²)
= (x + y)(x² + 2xy + y² - 3xy)
= (x + y)[(x + y)² - 3xy]
= 3(3² - 3(3)) = 3(0) = 0
26=-12y-9+7y what is this answer
Answer:
[tex]y = - 7[/tex]
Solving steps:
=> 26=-12y-9+7y
Step 1: Simplify both sides of the equation.
make y the subject of formula
=> 26=−12y+−9+7y
=> 26=(−12y+7y)+(−9)
Combine like terms
=> 26=−5y+−9
=> 26=−5y−9
Step 2: Flip the equation.
=> −5y−9=26
Step 3: Add 9 to both sides.
=> −5y−9+9=26+9
=> −5y=35
Step 4: Divide both sides by -5.
.=> [tex] \frac{ - 5y}{ - 5} = \frac{35}{ - 5} [/tex]
=> y = - 7
Given f (x) = 2x^2 + 1 and g(x) = 3x – 5 , find the
following
f(g(2))
Answer:
3Step-by-step explanation:
Given functions:
f(x) = 2x² + 1g(x) = 3x - 5Solve in two steps
Find g(2)
g(2) = 3*2 - 5 = 6 - 5 = 1Find f(1)
f(1) = 2*1² + 1 = 2 + 1 = 3Draw the image when ABCD is translated along 1-4, 6).
Answer:
(9,4)
Step-by-step explanation:
your welome
help me find x please
Answer:
132°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...
arc CB = 2×∠CAB = 2×40° = 80°
Arc AC is twice the measure of inscribed angle ABC, so ...
arc AC = 2×∠ABC = 2×26° = 52°
The measure of central angle AOB is the same as the measure of arc AB.
x = ∠AOB = arcs AC +arc CB = 52° +80°
x = 132°
Which sentence includes a descriptive adjective in a prepositional phrase?
A) The high-stepping band played with a lively beat.
B) The brass horns sparkled in the sun.
C) Baton-twirlers tossed their tasseled sticks high.
D) They wore tall hats trimmed with braid.
Answer:
The option c is the descriptive adjective in a prepositional phrases.
7. There are 3 times as many adventure books as comic books in a bookshop. If there are 879 adventure books in the bookshop, how many comic books are there?
8. Miss Flores had 216 colored beads, She asked Kristel to share them equally with 5 other friends, How many beads did Kristel get?
9. Ann made 450 hamburgers for a fun fair. She packed them equally into 7 boxes. How many hamburgers were there in each box? How many hamburgers were left?
Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over. What is the greatest number of groups Isaac can make?
Answer:
9r4
Step-by-step explanation:
8.4 + y = 10.7 108 = 9r 4.
Answer:
Step-by-step explanation:
Divide: 21/7
Your answer is 3
Use the circle graph to determine how
many hours each day Sariah spends
on each activity.
School:
hours
Becky's Day
Eating
hours
10%
Eating:
Sleep:
Free time
15%
Homework
10%
Sleep
40%
Homework:
hours
hours
hours
School
25%
Free time:
Answer:
school=6 hours
eating= 2.4 hours
sleep= 9.6 hour
homework= 2.4 hours
free time= 3.6 hours
Step-by-step explanation:
HELP ASAP WILL GIVE BRAINLIEST!!!
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric. The area of the solid green fabric is 8π square inches.
What percent of the design is floral fabric?
Use 3.14 for π. Round your answer to the nearest whole percent.
Answer: the answer is 39
Step-by-step explanation:
i just took the test
Answer: 39%
Step-by-step explanation: i took the test :)
Mrs Johnson is planning a bbq. There will be 18 people there. Each person will get 1/4 pound burger. How many pounds of burger meat will mrs Johnson need to buy?
what’s the answer to this ?
Answer:
First choice
Step-by-step explanation:
It passes through (4, 0) and (0, -4)
Slope = (0 - (-4))/(4 - 0) = 4/4 = 1
so y - 0 = 1*(x - 4)
x - y = 4
8x - 8y = 32
First choice
A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a
2 or an 8?
Answer:
c
Step-by-step explanation:
for this question, it helps to know what cards are in the deck. since there are four of everything (four suits), there will be four 8's and four kings. this means that we are aiming for one of 8 cards. therefore, 8/52= .1538 or answer C.
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
well, is simply the difference from what the bottle has and what she poured, hmm let's firstly convert the mixed fraction to improper fraction and then subtract.
[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}~~ - ~~\cfrac{3}{4}\implies \cfrac{(2)5~~ - ~~(1)3}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{10-3}{4}\implies \cfrac{7}{4}\implies 1\frac{3}{4}[/tex]
What ratios are equivalent to 14:6 ?choose all the equivalent ratios.
7:2
7:3
28:12
28:18
Answer: 7:3 and 28:12
Step-by-step explanation:
The equivalent form of the given ratio is 7 : 3. The correct answer is option (b).
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The given ratio is 14 : 6.
A ratio of two numbers a and b can be written in the form of fraction as,
a : b = a/b
Thus, the given ratio can be simplified as,
14 : 6 = 14/6
= 7/3
Again it can be converted into the ratio as,
7/3 = 7 : 3
Hence, the equivalent ratio of the given ratio is 7 : 3.
To know more about ratio and proportion click on,
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A line passes through the point , −9−3 and has a slope of 23.
Write an equation in slope-intercept form for this line.
Answer:
y=23x+204
Step-by-step explanation:
The Slope Intercept Form of the Equation of a Line is y=mx+c
where m is the Slope and c is the y-intercept
so for our problem m=Slope = 23
so the Equation will be y=23x+c
Now to find c just substitute by the given Point
-3=23*-9+c
c=204
so the Equation will be
y=23x+204
a man won a lotto jackpot and he spent 2/5 on luxury cars and 1/4 on buying a house. what fraction of his lotto earnings is remaining.
The fraction of his lotto earnings that is remaining is 7/20.
What is a fraction?A fraction is a portion of a whole or, more broadly, a set of equal pieces.
Let the total amount that the man won in the lotto jackpot is x.
Now, he spent 2/5 of the jackpot on luxury cars and 1/4 on buying a house, therefore, the total spending he will do is,
[tex]\dfrac{2x}{5}+\dfrac{x}{4}[/tex]
Now, the fraction of his lotto earnings that is remaining can be written as,
[tex]x-\dfrac{2x}{5}+\dfrac{x}{4}\\\\\\=\dfrac{x}{1}-\dfrac{2x}{5}-\dfrac{x}{4}\\\\\\=\dfrac{x \times 20}{1 \times 20}-\dfrac{2x \times 4}{5 \times 4}-\dfrac{x\times 5}{4\times 5}\\\\\\=\dfrac{20x-8x-5x}{20}\\\\=\dfrac{7x}{20}[/tex]
Hence, the fraction of his lotto earnings that is remaining is 7/20.
Learn more about Fraction:
https://brainly.com/question/1301963
4. A baby monitor picks up
signals within a 50-meter
radius. How many square
meters of coverage does the
baby monitor provide?
Answer:
250 pi
Step-by-step explanation:
formula for area of a circle: pi r squared
pi times 50 squared is 250 pi
The ratio of yellow crayons to green crayons is 6 : 5.
If there are 18 yellow crayons, how many green crayons are there?
Answer:
15 Green crayons
Step-by-step explanation:
Ratio Yellow to green crayons
Thus, 6 → Yellow and 5 → Green
6 5
18 x
We need to divide 18 by 6 which is 3
5 x 3 = 15
Hence, Green Crayons ⇒ 15
[RevyBreeze]
15 green crayons
Step-by-step explanation:
Given:
The ratio of yellow crayons to green crayons is 6:5.To Find:
If there are 18 yellow crayons, how many green crayons are there?Solution:
Let,
yellow crayons = 6x green crayons = 5xIf there 18 yellow crayons so,
6x = 18
x = 18/6 = 3 ...(1)
By putting the value of x from equation (1) :-
➝ 5x => 5 × 3
=> 15
Therefore, there are 15 green crayons.
455 cm converted to mL
HELP ME PLEASE! x = ½ y what is the direct variation
A student is making a scale model of his 30 foot long house and his scale model is 15 inches long. What is the scale factor?
Answer:
3.6/30 = 1/x
30/3.6 = 8.3333
1 inch = 8 1/3 feet
Answer:
24
Step-by-step explanation:
15 inches represent 30 feet = 30*12 inches = 360 inches
so 1 inch represent 360/15 = 24 inches
the scale factor is 24
You are asked to make a list of possible 5-character passwords using the first 7 letters of the alphabet. How many distinct passwords can you make? Indicate whether this is a combination or permutation.
Using the permutation formula, as the order is important, it is found that 2520 distinct passwords can be made.
The order is important as abcde is a different password than edcba, hence the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 5 letters are chosen from a set of 7, hence:
[tex]P_{7,5} = \frac{7!}{(7-5)!} = 2520[/tex]
2520 distinct passwords can be made.
More can be learned about the permutation formula at https://brainly.com/question/25925367
Which point shows 1/8?
Answer:The top one on the right.
Step-by-step explanation:
The graph shows the amount customers pay for x pounds of cheese at a deli counter. Customers pay a certain price per pound up to exactly 5 pounds. If a customer buys more than 5 pounds. then the price per pound for the entire purchase is discounted.
The amount the customers pay is an illustration of a piecewise functions
The equations of the piecewise functions are: [tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
How to determine the equation of the piecewise function?For the first function, we have the following points.
(x,y) = (0,0) and (4,20) for 0 < x <= 5
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{20}{4} * x[/tex]
[tex]y = 5x[/tex] 0 < x <= 5
For the second function, we have the following points
(x,y) = (8,32) and (9,36) for x > 5
The equation of the line would be:
[tex]y = \frac{y_1-y_2}{x_1-x_2} * (x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{36-32}{9-8} * (x - 8) + 32[/tex]
[tex]y = 4(x - 8) + 32[/tex]
[tex]y = 4x - 32 + 32[/tex]
[tex]y = 4x[/tex] x > 5
Hence, the equations of the piecewise functions are:
[tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]
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Two communication companies offer calling plans. With company x it cost $.30 to connect and then $.05 for each minute with company why it cost $.20 to connect and $.04 each minute. Simplify an expression that represents how much more company x charges incense for n minutes
Step-by-step explanation:
m = number of minutes
x(m) = 0.05m + 0.3
y(m) = 0.04m + 0.2
to find the difference between both company plans we need to subtract y from x :
0.05m + 0.3 - (0.04m + 0.2) =
= 0.05m + 0.3 - 0.04m - 0.2 =
= 0.01m + 0.1
company x charges for n minutes
$0.01n + $0.1
more.
The trip lasted 21 days. How many weeks did the trip last?
Answer:
3 is the answer
7 days make one week
21÷7 =3
How many pairs of shoes do teenagers have? To find out, a group of AP ® Statistics students conducted a survey. They selected a random sample of 20 female students and a separate random sample of 20 male students from their school. Then they recorded the number of pairs of shoes that each student reported having. The data is given in the table.
Let 1 the true mean number of pairs of shoes that male students at the school have and 2 the true mean number of pairs of shoes that female students at the school have.
The pairs of shoes is an illustration of the point estimate of the population mean.
The teenagers have 30 pairs of shoes
How to determine the number of pair of shoes?
The question is incomplete, as the dataset to determine the number of shoes is not given.
To answer the question, I will use the following dataset
50 26 26 31 57 19 24 22 23 38 13 50 13 34 23 30 49 13 15 51
The sample mean is an estimate of the population mean.
The sample mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{50 +26+ 26+ 31+ 57 +19 +24 +22+ 23 +38 +13 +50 +13 +34+ 23+ 30 +49 +13 +15+ 51}{20}[/tex]
Evaluate the sum
[tex]\bar x = \frac{607}{20}[/tex]
Evaluate the quotient
[tex]\bar x = 30.35[/tex]
Approximate
[tex]\bar x = 30[/tex]
Using the assumed values, the teenagers have 30 pairs of shoes
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12 Complete the table to show equivalent times. Seconds Hours Minutes 210 8,400
Answer:
The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.
slope 4/5 y intersept -8
Find the slope determined by the following pair of points (0,8), (2, 4)
Answer:
-2
Step-by-step explanation:
We use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], and substitute the points (0,8) and (2,4). This gives
[tex]\frac{4-8}{2-0}=\frac{-4}{2}=-2[/tex]
as the slope.
Hello.
Since we have two points, and we are asked to find the slope of the line, let's use the slope formula:
[tex]\mathrm{m=\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
Where
m is the slope
y2 is the y-coordinate of the second point
y1 is the y-coordinate of the first point
x2 is the x-coordinate of the second point
x1 is the x-coordinate of the first point
In this case, m is unknown, y2 = 4, y1 = 8, x2=2, x1=0
Plug in the values:
[tex]\displaystyle\frac{4-8}{2-0}[/tex]
[tex]\displaystyle\frac{-4}{2} =-2[/tex]
Therefore, the slope is -2.
I hope it helps!
Have a nice day!
[tex]\boxed{imperturbability}[/tex]