Answer:
1 / (x + 1)(x - 3).
Step-by-step explanation:
x^3-3x^2-x+3
= x^2(x - 3) - 1(x - 3
= (x^2 - 1)(x - 3)
= (x - 1)(x + 1)(x - 3)
So x - 1 divided by x^3 - 3x^2 - x + 3
= (x - 1) / (x - 1)(x + 1)(x - 3)
= 1 / (x + 1)(x - 3).
what is 4382 to 1 significant figure
Answer:
4382 to 1 sf is [tex]4 * 10^3[/tex]
Since powers are not counted in significant figures so this is the answer.
Hope it helps you :D
Solve 15=1.5r+3 check your solution
Answer:
r = 8
Step-by-step explanation:
15 = 1.5r+3
Subtract both sides of the equation by 3.
15-3 = 1.5r+3-3
12 = 1.5r
Divide both sides of the equation by 1.5.
12/1.5=1.5r/1.5
8 = r
r = 8
Answer:
[tex]8[/tex]
[tex]1.5r + 3 = 15 \\ 1.5r = 15 - 3 \\ 1.5r = 12 \\ r = \frac{12}{1.5} \\ r = \frac{120}{15} \\ r = 8[/tex]
A car is traveling at a rate of 100 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
62mph
Step-by-step explanation:
Answer: 250 miles
Step-by-step explanation:
100 kph = 62.5 mph
In 4 hours, the car will travel
62.5 x 4 = 250 miles
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are spades, your friend will pay you $225. Otherwise, you have to pay your friend $12. Step 2 of 2 : If this same bet is made 738 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
Win $1,423.59
Step-by-step explanation:
There are 52 cards in a deck, 13 of which are spades.
The probability if drawing two consecutive spades without replacement is:
[tex]P(W) = \frac{13}{52}*\frac{12}{51}\\ P(W) = \frac{3}{51}[/tex]
Therefore, there is a 3 in 51 chance of you winning $225 and a 48 in 51 chance of you losing $12.
The expected value for 738 games is:
[tex]E= 738(\frac{3}{51}*225-\frac{48}{51}*12)\\ E=\$1,423.59[/tex]
You are expected to win $1,423.59.
Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Hey there! :)
Answer:
1,500,000.
Step-by-step explanation:
Convert to standard notation by first deriving the value of 10 to the exponent given:
[tex]10^{6} = 1,000,000[/tex] (6 zeros)
Multiply:
1.5 × 1,000,000 = 1,500,000
Na Campanha contra fome , foram arrecadados 1480 quilo de açúcar, 1207 kg de açúcar e 678 quilos de feijão. Quantos quilos de mantimento foram arrecadados?E ajudem por favor Não esqueção do cálculo por favor
Answer:
3,365 quilo
Step-by-step explanation:
Aqui, temos a tarefa de calcular os quilos de mantimentos coletados.
Para conseguir isso, o que fazemos é somar todos os quilos que temos aqui.
Matematicamente, isso representaria 1480 kg de açúcar + 1207 kg de açúcar + 678 kg de feijão = 1480 + 1207 + 678 = 3,365 kg de mantimentos
Convert 0.396 to a fraction in its simplest form
What is 5 superscript 6 written in expanded form? 5 + 5 + 5 + 5 + 5 + 5 5 times 5 times 5 times 5 times 5 times 5 6 + 6 + 6 + 6 + 6 6 times 6 times 6 times 6 times 6
Answer:
5 times 5 times 5 times 5 times 5 times 5
Step-by-step explanation:
[tex]5^6=\boxed{5\times 5\times 5\times 5\times 5\times 5}[/tex]
An exponent is used to signify repeated multiplication. It tells how many times the base is a factor of the product. Here, the base is 5, and it occurs 6 times in the product.
Answer:
5 times 5 times 5 times 5 times 5 times 5
Step-by-step explanation:
The sum of x and y is 7. The value of y is three more than the value of x. Write a system of equations to model this.
Answer:
x+y=7
y= x+3
Step-by-step explanation:
i just took the test
The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of x and y is 7. The value of y is three more than the value of x. Then the equation is given as,
x + y = 7 ...1
y = x + 3 ...2
From equations 1 and 2, then we have
x + x + 3 = 7
2x = 4
x = 2
Then the value of the variable 'y' will be given as,
y = 2 + 3
y = 5
The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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What are the asymptote and the Y intercept of the function shown in the graph f(x)=3(0.2)^x+2
the asymptote is y = 2 and the y - intercept is (0,5)
What is asymptote function?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique. That is, as approaches from either the positive or negative side, the function approaches positive or negative infinity.
According to the question
The function reaches the y-axis at the point (0,5).
The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.
The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.
Hence, the asymptote is y = 2 and the y - intercept is (0,5)
To learn more about asymptote function from here
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What is the vertex and x intercepts of y=x^2-2x-35 Just answers pls :)
Answer:
x-int: (-5, 0), (7, 0)
vertex: (1, -36)
Step-by-step explanation:
Easiest and fastest way is to simply graph the equation and find what it's asking.
A shop sells posters in different sizes. The height (h) and width (w) of each poster are linked by the formula h=2.5w -5 What is the width of a poster that is 10 cm high?
Answer: 6 cm
Step-by-step explanation:
Hi, to answer this question we simply have to substitute h=10 (height) in the formula given:
h=2.5w -5
Replacing:
10= 2.5w-5
Solving for w (width)
10+5=2.5w
15 =2.5w
15/2.5=w
w =6 cm
In conclusion, the width of a poster that is 10 cm high is 6 cm.
Feel free to ask for more if needed or if you did not understand something.
What is f(x)=x2-8x+11 written in vertex form
The temperature at 12 Noon was above zero. If it decreases at the rate of
Per hour until midnight, at what time would the temperature be below zero?
Answer:
Brianliest!
Step-by-step explanation:
It could be found if you were given the rate
since there is no rate, the question should be answered that there is not enough information
A Fan was sold for Rs 1035 having 15% profit. If it was sold on 8%
loss, find the selling price.
hope its helpful to uh...
Which is a function represented by the table
A. F(x)=x+5
B.f(x)=x-5
C.F(x)=x+1
D. F(x)=x-1
Question is down below, best answer gets Brainliest! Good luck!
Answer:
976cm^2
Step-by-step explanation:
Surface area:
Ara of cross section x 2 = 1/2 x 2 x 14 x 24 = 14 x 24 = 336
Area of base = 14 x 10 = 140
area of slope x 2 = 25 x 10 x 2 = 500
Total surface area = 500+140+336 = 640 + 336 = 973cm^2
Answer:
976 cm^2
Step-by-step explanation:
Area of triangle: 1/2bh
Area of rectangle b×h
2 Triangular ends 12×14=168 each So 336
2 sides 10×25=250 each So 500
1 base 10×14=140
Add: 140+500+336=976 square centimeters
Brian rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is prime. Answer THIS PLEASE I AM SO CONFUSED
Answer:
5/12 or 15/36
Step-by-step explanation:
Since he rolls two dice, he has a total probability of 6 times 6 = 36. The pairs, that he could add up to primes are (1,1), (2,1) * 2 (since he can get 1,2 as well), (1,4) * 2, (2,3) * 2, (3,4) * 2, (5, 2) * 2, (6,1) * 2, (5, 6) * 2. This is 1 + 2 + 2 + 2 + 2 + 2 + 2 + 2, which is equal to 15. This is a total of 15/36 possible ways, which is also equal to 5/12.
Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A(0,7) and B(−4,2) A. (-3, -10.75) B. (-3, 3.25) C. (-5, -4) D. (-3, -3.75)
Answer: B. (-3, 3.25)
Step-by-step explanation: Imagine that the line is divided into 4 segments. (3:1) Since A is at the upper right end of the line, go 3 segments down and left from A. That puts the x value at -3.
If you graph the line, it is evident that the y-value is at 3.25.
(It may be possible to use the Pythagorean Theorem to compute the lengths of line segments-- but this is a multiple-choice question!)
Answer:
B.) (-3, 3.25)
Step-by-step explanation:
I got it correct on founders edtell
Which of the following is an example of dependent events? A. Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack B. Winning the lottery and getting struck by lightning C. Spinning a 5 on a spinner and getting tails from flipping a coin D. Owning a dog and being in the school chorus
Answer: A. Drawing a jack and drawing a six without replacement
Step-by-step explanation:
A Dependent event means the outcome of one event affects the outcome of the other event.
Options B, C, and D:
The first event is completely unrelated to the second event so those options are Independent events.
Option A:
The first event uses 52 cards. The second event only has 51 cards remaining because we did not replace the first card. The probability of the second event IS affected by the first event so this is a Dependent event.
Note: If the card was replaced before drawing the second card, then it would be an Independent event.
The example for dependent events is (A) Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack.
What are Dependent Events?If the probability of one event of two events is affected by another one then that two events are called dependent events of one another.
What is Probability?The probability of an event is the ratio of the favorable cases for that event to the total number of possible cases under that event.
Here analyzing the given choices we get,
(A) If we draw a jack from a standard deck of cards that is containing 52 cards.
And then we draw a six replacing without that jack card then it affects the probability as the total number of cards for this event reduces from 52 to 51.
So these two events are dependent events.
(B) Winning a lottery and getting struck by lighting are completely two different events from a different field, so they are independent.
(C) Spinning a 5 on a spinner cannot affect getting tails from flipping a coin. So they are not dependent on events.
(D) Owning a dog cannot affect being in the school chorus so they are independent (not dependent).
Hence the correct answer is (A).
Learn more about Dependent Events here -
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can someone please help me? thanks!
Answer:
x = 8
[tex] m\angle A= 30\degree[/tex]
Step-by-step explanation:
By interior angle on one side of transversal postulate.
[tex] m\angle A + m\angle B = 180\degree \\
\therefore (6x - 18)\degree + (14x + 38)\degree = 180\degree \\
\therefore (20x + 20)\degree = 180\degree \\
\therefore 20x + 20 = 180
\therefore 20x = 180 - 20\\
\therefore 20x = 160\\\\
\therefore x = \frac {160}{20}\\\\
\huge \red {\boxed {\therefore x = 8}} \\\\
\because m\angle A= (6x - 18)\degree \\
\therefore m\angle A= (6\times 8- 18)\degree \\
\therefore m\angle A= (48- 18)\degree \\
\huge \purple {\boxed {\therefore m\angle A= 30\degree}} \\[/tex]
Como eu resolvo isso? x + y = 7 x + y = 1
Answer:
usas la sustitución para resolver esto
Step-by-step explanation:
Restar y
de ambos lados de la ecuación.
x = 7 − y
x − y = 1
Reemplazar todas las apariciones de x
en x − y = 1 con 7 − y
.
x = 7 − y
(7 − y) −y = 1
Restar y
de −y
.
x = 7 − y
7−2y = 1
Resuelve por y
en la segunda ecuación
x = 7 − y
y = 3
Reemplazar todas las ocurrencias de y
en x = 7 − y con 3
.
x = 7− (3)
y = 3
Simplifica 7− (3)
x = 4
y = 3
La solución al sistema de ecuaciones se puede representar como un punto.
(4,3)
El resultado se puede mostrar en múltiples formas.
Forma de punto:
(4,3)
Formulario de ecuación:
x = 4, y = 3
espero que esto ayude :)
Why is angle Q congruent to angle MPN and why is angle N congruent to itself. Thank you!
Answer:
<MPN is congruent to <Q because they both are corresponding angles while <N is self congruent because it is common in the two similar triangles.
can someone help asap
Answer:
5.125 = [tex]5\frac{125}{1000}[/tex] = [tex]5\frac{1}{8}[/tex]
Step-by-step explanation:
=> 5.125
Changing this into fraction form:
=> [tex]5\frac{125}{1000}[/tex]
In simplified form:
=> [tex]5\frac{1}{8}[/tex]
Segments AP and BP have the same length. If the coordinates of A and P are (-1,0) and (4,12), respectively, which could be the coordinates of B?
I. (3/2, 6)
II. (9, 24)
III. (-8,7)
A) I and II only
B) II and III only
C) II only
D) III only
Answer:
B) II and III only
Step-by-step explanation:
Coordinates of A = (-1,0)
Coordinates of P =(4,12)
Let (x,y) be the coordinates of B
Distance formula : =[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AP = BP
[tex]\sqrt{(4+1)^2+(12-0)^2}=\sqrt{(4-x)^2+(12-y)^2}[/tex]
[tex](4+1)^2+(12-0)^2=(4-x)^2+(12-y)^2[/tex]
[tex]169=16+x^2-8x+144+y^2-24y[/tex]
[tex]x^2-8x+y^2-24y-9=0[/tex]
I)(3/2,6)
[tex](\frac{3}{2})^2-8(\frac{3}{2})+6^2-24(6)-9=0\\-126.75 \neq 0[/tex]
II)(9,24)
[tex](9)^2-8(9)+(24)^2-24(24)-9=0[/tex]
0= 0
C)(-8,7)
[tex](-8)^2-8(-8)+(7)^2-24(7)-9=0[/tex]
0=0
So, II and III could be the coordinates of B
So Option B is true
II) II and III only
Which equations are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A -x +0+(- x) = 0−x+0+(−x)=0minus, x, plus, 0, plus, left parenthesis, minus, x, right parenthesis, equals, 0 (Choice B) B -x-(-x) =0−x−(−x)=0minus, x, minus, left parenthesis, minus, x, right parenthesis, equals, 0 (Choice C) C None of the above
Answer:
(B)-x-(-x) =0
Step-by-step explanation:
Option A
Our equation is: -x +0+(- x) = 0
Left Hand Side:
-x +0+(- x) = -x-x=-2x
[tex]($Left Hand Side) $-2x\neq 0$ (Right Hand Side)[/tex]
Option B
Our equation is: -x-(-x) =0
Left Hand Side:
-x-(-x) =-x+x=0
[tex]($Left Hand Side) 0 = 0 (Right Hand Side)[/tex]
Therefore, the equation in Option B is true.
select a brand with the least expensive corn per ounce
A) ounces price
18 1.50
36 3.00
54 4.50
B) .75 for 15 oz
C) Maia buys an 11 ounce can of brand c corn for 2.20
Answer: Option B.
Step-by-step explanation:
The price per ounce can be calculated as the amount of you paid divided the number of ounces that you get.
A) we have a table:
ounces price
18 $1.5
36 $3.00
54 $4.5
We can see that here we have a linear relationship. for example, the price for 18 ounces is $1.5
Then the price per ounce is:
p = $1.5/18 = $0.083
B) here we know that 15 oz cost $0.75, the price per ounce is:
p = $0.75/15 = $0.05
C) here we have 11 ounces, and the price is $2.20
then we have:
p = $2.2/11 = $0.2
Then we can conclude that the least expensive is option B.
Answer:b
Step-by-step explanation:
did it on khan
Ali and Beth divide £280 in the ratio 2 : 5
Work out how much each person gets.
Answer:
Ali =£80
Beth = £200
Step-by-step explanation:
In the picture
I hope it helps
The diameter of a semicircle is 8 millimeters. What is the semicircle's radius?
Answer:
4 millimeters
Step-by-step explanation:
a radius is half of a diameter
Answer:
r = 4mm
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 d
r =1/2 (8 mm)
r = 4mm
Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 - (x - 6)2 (5 points)
Answer:
g(x) is always decreasing
Step-by-step explanation:
Step 1: Distribute
g(x) = 4 - (2x - 12)
g(x) = 4 - 2x + 12
Step 2: Combine like terms
g(x) = -2x + 16
Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output y will go lower.