Answers
9514 1404 393
Answer:
(x -1/4)(x -1)(x +1)
Step-by-step explanation:
Pairs of coefficients have the same ratio, so it is likely that you can factor this by grouping pairs of terms.
x³ -x -1/4x² +1/4 = (x³ -x) -(1/4x² -1/4) . . . . . . note the signs
= x(x² -1) -1/4(x² -1)
= (x -1/4)(x² -1)
The difference of squares (x² -1) is a special form that has factors (x -1)(x +1)
Your factoring is ...
(x -1/4)(x -1)(x +1)
_____
Additional comment
The difference of squares factors like this:
a² -b² = (a -b)(a +b)
Related Questions
Show the steps to solve the system of equation. x-2y+3z=-4 , 3x+y-z=0 , 2x+3y-5z=1
Answers
Answer:
x= -1, y = 6, z = 3
Step-by-step explanation:
let me solve it with Gaussian Elimination
What is the rate of change of the function y=x-2
Answers
Answer:
The rate of change is 1.
The equation of a line and y-intercept form is
y = mx + b, where m = the slope of the line.
and our given equation y = x - 2 the slope of the line is 1 in other words y = 1x - 2
Find the volume of this
prism.
Answers
Answer:
Volume of the prism =area of base*height
=[3*3+3*6]*9
=243 cm³
Alternate
Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³
if ryan has $1127 left after spending 1/5 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill, what was his monthly salary
Answers
Answer:
$1715
Step-by-step explanation:
1/5 + 1/ 7 = 12/ 35
So, he is left with 23/35 of his salary
if 23/35 of his salary is 1127
his whole salary is 1715
451 mi/ 7.3 hr. Round to the appropriate number of significant digits.
Answers
Answer:
5
Step-by-step explanation:
6g = -86; g= -16
Need help
Answers
Answer:
6g = -86
Divide each term in 6 g = − 86 by 6 and simplify.
Exact Form: g = -43/3
Decimal Form: g = −14.¯3
Mixed Number Form:
g = −14 1/3
—————————————————————
g= -16
Vertical line at x = −16
Find the slope of (3,-2) and (4,4)
Answers
Answer:
0
Step-by-step explanation:
Which two numbers on the number line have an absolute value of 1.25?
Select the location of both numbers on the number line.
Answers
Answer:
-1.25
Step-by-step explanation:
Ali bought 2kg of potato and 3kg of onion. The price of the onion is 50 cents less
than potato. He paid $10 to the cashier and get back $1.50. What is the price for 1kg
of onion ?
Answers
Answer:
1kg of onion is $1.5
Step-by-step explanation:
He paid $10 and got $1.50 back, meaning that the total price for the 2kg and 3kg of the potato and onion is:
10 - 1.5 = $8.50
Now, equating the prices of the two (take x as the cost of the potato per kg and take y as the cost of the onion per kg):
x -0.5 = y
x - y = 0.5 ---- Eq 1
Equating the total costs:
2x + 3y = 8.5 ---- Eq 2
Multiplying Eq 1 by 2:
2x - 2y = 1 ---- Eq 1'
Subtracting Eq 2 from Eq 1':
2x - 2x +3y - (-2y) = 8.5 - 1
5y = 7.5
y = 1.5
Substituting this into the first equation:
x - 1.5 = 0.5
x = 2
Hence,
the cost of the Potato is $2, and
the cost of the Onion per kg is $1.5
Hope this helps, and have a wonderful time ahead on Brainly!
explain how to calculate a unit rate such as 300 miles per hour 4 hour
my brain is not working today i need help
Answers
Answer:
75
Step-by-step explanation:
divide 4 by 300 and then you will get the answer of 75. I'm so sorry if this is wrong
In the function. Y+3=(2x)^2+1 what effect does the number 2 have on the graph as compared to the graph y=x^2
A.it stretches the graph vertically by a factor of 2
B. It stretches the graph horizontally by a factor of 2
C. It shrinks the graph vertically to 1/2 the original height
D. It shrinks the graph horizontally to 1/2 the original width
Answers
Answer:
C
Step-by-step explanation:
What is the average rate of change of g(x)=4x+5 ?
Answers
9514 1404 393
Answer:
4
Step-by-step explanation:
The equation is in slope-intercept form:
y = mx +b
where m is the slope (average rate of change).
In the given equation, m = 4.
The average rate of change is 4.
simplify each expression and state the number of terms in the final answer.
Answers
1) 4m+3j, 2 terms.
2) -11x+6y+9, 2 terms
3) [tex]11g^5+6g^4-4gh\\[/tex], 2 terms
EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!
Answers
Answer:
The choice b.
[tex] \sin \: A = \frac{4}{5} [/tex]
Step-by-step explanation:
sinA = opposite/hypotenuse
[tex]sinA = \frac{28}{35} = \frac{4}{5} [/tex]
Equivalent fractions
Answers
Answer: Like 1/3=2/6 and 2/3=4/6, 1/4=2/8 then 3/4=6/8.
Step-by-step explanation: Hope this help. hit me up if u need some more help
Answer:
1) 1/2 = 18/36 = 9/18 = 8/16 = 21/42 = 24/48
2) 5/6 = 40/48 = 10/12 = 25/30 = 15/18 = 20/24
3) 1/3 = 3/9 = 9/27 = 30/90 = 2/6 = 4/12
4) 3/4 = 18/24 = 12/16 = 6/8 = 15/20 = 27/36
5) 4/9 = 8/18 = 20/45 = 16/36 = 24/54 = 12/27
Step-by-step explanation:
The main explaination for this is to take your denominator -- your bottom number of the fraction -- and divide it by the denominator to which you're trying to compare it to. Multiply your numerator to the compared to find your full fraction.
For example, say the fraction is 1/2. You're trying to figure out it's equivalent through the pair _/100. Take your 100 and divide it by 2, your other denominator, which leaves you with 50. Take the 50 and multiply it by the compared numirator to find your full fraction, which in this case is 50/100.
Hopes this helps you!
a. is the value of the expression (1/4 ^-3)^-2 greater than 1 equal to 1 or less than 1
b. if the value of the expression is greater than 1 show how you can change one sign to make the value less than 1, show how you can change one sign to make the value greater than 1 if the value is equal to 1 show how you can make one change to make the value not equal to 1
please I need an answer quick ._.
Answers
A.
[tex]((1/4)^{-3})^{-2} = (1/4)^{(-3)*(-2)}=(1/4)^6<1[/tex]So it is less than 1
B.
We can change -3 to 3 or -2 to 2.
This will result in:
[tex](1/4)^{-6}=4^6 >1[/tex](a) The value of given expression "((1/4)⁻³)⁻²" is less than 1, and (b) To make value greater than 1, change second exponent to positive; to make it equal to 1, change first exponent to 0.
Part (a) : Starting from the innermost exponent, (1/4)⁻³ simplifies to 4³, which is 64.
So, ((1/4)⁻³)⁻² becomes (64)⁻², which is 1/4096. Since 1/4096 is less than 1, the value of the expression is less than 1.
Part (b) : To change the value to greater than 1:
Change the second exponent to a positive value, making it ((1/4)⁻³)²,
This simplifies to (4³)², which is 4096.
To change the value to equal 1:
Change the first exponent to 0, making it ((1/4)⁰)⁻². This simplifies to (1)⁻², which is 1.
Learn more about Expression here
https://brainly.com/question/10730206
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You and your friends Jose and Sarah all live on the same street. You know that Jose lives 7 blocks away from you. Jose says that Sarah lives 6 blocks from him, but he didn't say whether she lives closer to you than he does or further. Let represent the number of blocks from you that Sarah might live.
Answers
Answer:
farthur
Step-by-step explanation:
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
Let variable a be a real number. Find the range of values of a such that the equation f(x) = g(x) has two different solutions.
***The answer should be -2 < a < 4, but I don't know why.
Answers
Step-by-step explanation:
f(x) = x² + 2ax + a² - a
g(x) = 4 - x²
f(x) = g(x)
x² + 2ax + a² - a = 4 - x²
2x²+2ax+a²-a -4 =0
the equation has two different solutions
=> (2a)² - 4(2)(a²-a-4) > 0
4a²-8a²+8a +32 >0
-4a²+8a+32 > 0
a²-2a-8 >0
(a-4)(a+2) < 0
the answer should be
-2 < a < 4
Rewrite the fraction 1/6 as a division expression with the same numbers.
Answers
9514 1404 393
Answer:
1 ÷ 6
Step-by-step explanation:
1/6 is a division expression. It means "one divided by six."
The slash (/) can be replaced by the "divided by" symbol (÷), if you like.
1/6 = 1 ÷ 6 . . . . means "one divided by six"
13.On many multiple-choice tests, 1 point is given for each correct
answer and 0.25 point is taken away for every wrong answer.
(This is to discourage guessing.) Answers that are left blank
do not affect the score. Gloria scored 62 on a test with 100
questions. Let C be the number of questions Gloria correctly
answered and let W be the number of wrong answers she had.
Give three possible pairs of values of C and W.
b. Write an equation that describes all possible solutions.
c. Graph all possible solutions.
a.
Answers
Hoped it helped
What is the range of the function y=7^(x+4)-4? *
Answers
Answer:
The graph on the y-axis. All real numbers ( any negative number and any positive number)
Step-by-step explanation:
¿A qué velocidad debe circular un auto de carreras para
recorrer 50km en un cuarto de hora?
Answers
Answer:
creo que la respuesta es 3,333.33 mph
Step-by-stepStep-by-step explanation:
5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?
Answers
And how did you not learn this in Highschool
Serena deposits $1200 into a savings account that earns simple interest. The interest is applied to her account at the end of each year. Complete the table
Answers
Answer:
lu have to ask mss v for the question
You paint 1/3 of a wall in 1/4 of an hour. At that rate, how long will it take you to paint one wall?
Answers
Answer:
45 minutes
Step-by-step explanation:
1/4 of an hour is equal to 15 minutes
15 * 3 = 45
The answer is 45 minutes
It takes you 45 minutes to paint one wall.
If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take
Answers
Answer:
A 5-pound roast would take about 187.5 minutes to cook.
Divide 150 minutes by 4 pounds and you get 37.5 minutes. This would be how long it takes to cook each pound. So, you multiply 5 pounds by 37.5 and you get 187.5 minutes for a 5-pound roast to cook.
A copy machine makes 32 copies per minute. How many copies does it make in 4 minutes and 15 seconds?
Answers
9514 1404 393
Answer:
136
Step-by-step explanation:
15 seconds is 1/4 minute. We can find the number of copies by multiplying the rate by time:
(32 copies/min)(4.25 min) = 136 copies
The machine can make 136 copies in 4 minutes 15 seconds.
ingredients: f(6)-20 = (?)cups of sugar. use f(x) = x² - 2x - 3
Answers
Answer:-18 mm sugar
Step-by-step explanation:
Thanks me later
WATTPAD SUGGESTIONS? :)
Answers
Answer:
Step-by-step explanation: about a boy who fell for a girl that was twice his age and yeah something about that :)
help for brainliest please
Answers
Answer:
2nd option: P'Q'=16.8 mm
Step-by-step explanation:
Translating vertically just means the graph shifted up or down in the direction of y axis, it will not change the shape or size of the original graph.