We want to factor the following expression:
16x4 – (y - 1)
We can factor the expression as (U+V)(U - V) where U and V are either constant integers or single-variable expressions.
What are U and V?
Answers
Answer:
Answer: U = 4x^2 and V=y-1
factored : (4x^2+y-1)(4x^2-y+1
Step-by-step explanation:
The value of U and V are 4x² and (y-1) respectively and the factor of the expression is (4x² + (y-1)) and (4x² + (y+1)) option (C) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We want to factor in the following expression:
16x⁴-(y-1)²
We can factor the expression as (U+V)(U-V) where U and V are either constant integers or single-variable expressions.
1) What are U and V?
2)Factor the expression.
We have an expression:
= 16x⁴-(y-1)²
or
= (4x²)²-(y-1)²
Using the identity:
a² - b² = (a + b)(a- b)
(4x²)²-(y-1)² = (4x² + (y-1))(4x² + (y+1))
The value of U = 4x²
V = (y-1)
The factor of the expression is:
(4x² + (y-1)) and (4x² + (y+1))
Thus, the value of U and V are 4x² and (y-1) respectively and the factor of the expression is (4x² + (y-1)) and (4x² + (y+1))
Learn more about the expression here:
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Related Questions
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation $10x+12y=300$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts
Answers
Answer:
a. i) Please see the included graph of the equation $10·x + $12·y = $300
ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered
Step-by-step explanation:
The given information are;
The cost of each short-sleeved shirt = $10
The cost of each long-sleeved shirt = $12
The amount available in the budget = $300
The equation for the total cost = $10·x + $12·y = $300
Where;
x = The number of short-sleeved shirts
y = The number of long-sleeved shirts
Rewriting the equation given in slope and intercept form, we have;
$10·x + $12·y = $300
$12·y = $300 - $10·x
y = $300/$12 - $10·x/$12
y = 25 - 5/6·x
Please find attached, the graph of the equation made with Microsoft Excel
The values of the data that can calculated to plot the graph are;
x, y
(0, 25 )
(5, 20.83 )
(10, 16.67)
(15, 12.5 )
(20, 8.33)
(25, 4.17)
(30, 0 )
The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.
The graph of the equation is shown below.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Given:
Short-sleeved shirts cost $10 each.
Long-sleeved shirts cost $12 each.
The total budget is $300.
The given equation is:
[tex]10x+12y=300[/tex]
where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.
To find:
The graph of the given equation and the interpretation for the intercepts.
Explanation:
We have,
[tex]10x+12y=300[/tex]
Substitute [tex]x=0[/tex].
[tex]10(0)+12y=300[/tex]
[tex]12y=300[/tex]
[tex]y=\dfrac{300}{12}[/tex]
[tex]y=25[/tex]
So, the y-intercept is at point (0,25).
Substitute [tex]y=0[/tex].
[tex]10x+12(0)=300[/tex]
[tex]10x=300[/tex]
[tex]x=\dfrac{300}{10}[/tex]
[tex]x=30[/tex]
So, the x-intercept is at point (30,0).
Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
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Jessica completed 20 haircuts in 8 hours. On average how many haircuts per hour did Jessica do?
Answers
Answer:
two and a half
Step-by-step explanation:
For each pair of mathematical expressions, determine if the expressions have equal values. Select each pair of expressions that came out to be equal.
Please note, not all pairs will come out to the same value. We want you to determine if the expressions in each answer option have the have the same value.
Question options:
36÷3+3 and 22+2
36
÷
3
+
3
a
n
d
2
2
+
2
−(23)2and 49
-
(
2
3
)
a
n
d
4
9
8(−9) and −12−60
8
(
-
9
)
a
n
d
-
12
-
60
1+24 and 1−14
Answers
Part C: Create a graph that represents the solutions to the equation from Part A
Answers
Answer: Dear friend google
Step-by-step explanation: search it up
HELP ITS MATH AND I SUCK AT MATH WILL GIVE BRAINLIEST :)))))
Answers
Answer:
i believe it's A. f(x) slope is greater than g(x) slope
Step-by-step explanation:
the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one
Answer:
A
Step-by-step explanation:
PLS DONT REPORT ME IF U DO U DONT WANT TO KNOW WHAT WILL HAPPEN
So if you have 2x2 amount of apples but then you only have 3 apples whats wrong with this equation?
Answers
Answer:
2x2 is 4 but you have 3 apples?
Step-by-step explanation:
if y=27 when x=12, find x when y=-12
Answers
Answer:
x = - 36
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 27 when x = 12, then
k = yx = 27 × 12 = 324, thus
y = ← is the equation of variation
When y = - 9, then
- 9 = ( multiply both sides by x )
- 9x = 324 ( divide both sides by - 9 )
x = - 36
What side in the second trapezoid corresponds to CD?
ABCD≅RSTU
Answers
Answer:
TU
Step-by-step explanation:
Calculate the slope given the two points on a line: (7,8) and (10,17)
Answers
Answer:
gvvvvvbb
Step-by-step explanation:
gghhhhbbhhjhhhhh
Select the correct answer.
You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′?
A.
P′(-2, 4), Q′(-3, 1), R′(-4, 4)
B.
P′(2, -4), Q′(3, -1), R′(4, 4)
C.
P′(-2, 4), Q′(-3, 1), R′(4, -4)
D.
P′(2, -4), Q′(3, -1), R′(4, -4)
Reset Next
Answers
Answer:
C
Step-by-step explanation:
Rewrite in simplest terms: -3(-4g-6g-2)-8g
Answers
Answer:
22g+6
Step-by-step explanation:
-3(-4g-6g-2)-8g To simplify this, we have to distribute first.
12g+18g+6-8g Now, we can combine like terms. (I underlined the parts with the variable to make it easier to see which parts were considered like terms.)
22g+6 This is your simplified answer!!
Hope this helps...have a wonderful day c:
Mathematical Connections Jake's solution to
the equation - 4(2x - 3) = 36 is shown.
-4(2x - 3) = 36
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
-8x = 24
8x24
-8
X=-3
How is the solution to -4(2x - 3) > 36 similar to
and different from the solution shown?
Answers
The solution x > -3 represents all values of x that are greater than -3. On the other hand, the solution x = -3 represents a single value of x that is equal to -3.
Given that,
An equation is,
- 4(2x - 3) = 36
Here, Jake's solution to the equation - 4(2x - 3) = 36 is,
-4(2x - 3) = 36
Apply distributive property,
-8x + 12 - 36
- 8x + 12 - 12 = 36 - 12
Subtract 12 on both sides,
-8x = 24
x = - 24/8
x = - 3
So, the solution x = -3 represents a single value of x that is equal to -3.
Therefore, x > -3 represents a range of values greater than -3, while x = -3 represents a single value that is equal to -3.
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What is the value of x?
Answers
Answer:
150
Step-by-step explanation:
Answer: 70
Step-by-step explanation: because 40 + 70 is 110. There is a sum of 180 degrees in a triangle. And 180- 110= 70.
pls give me brainliest
the school will repave the play yard at a cost of $23.00 per yard squard yard. the yard measures 108 ft by 135 ft. what is the total square footage of the play yard how much will the paving cost
Answers
Answer:
$5589
Step-by-step explanation:
I added 108+135
then got 243 then i multiplyed 23.00 times 243
got 5589
PLEASE HELP ASAP!!!!!
Answers
Answer:
C. Have a good day. :)
Step-by-step explanation:
Treven and Carlos entered a hot dog eating
contest. Carlos ate 7 more than the amount of hot
dogs that Treven ate. Carlos ate 17 hot dogs. How
many hot dogs did Treven eat?
Write the equation and solve.
Answers
Answer:
10
Step-by-step explanation:
17-7=10
19
Tell whether the triangles are similar. Explain.
Please help!!!!!!!
Answers
Answer:
Step-by-step explanation:
Help this person she really needs help! XD
7x + 3 = 4x - 5x + 12
Answers
Answer:
x=1.125
Step-by-step explanation:
Answer:
1.125
Step-by-step explanation:
7x + 3 = 4x - 5x + 12
7x + 3 = -x + 12
+x +x
8x + 3 = 12
-3 -3
8x = 9
x = 1.125
First person to answer gets brainly!!
Answers
4•3=12
6•3=18
18+12=30
Colby and his 3 friends buy lunch. The total is $30.60. If they share the cost equally, how much, in dollars, should each person pay
Answers
Answer: Each person pays $10.20
Step-by-step explanation:
Answer:
$7.65
Step-by-step explanation:
8(k - 6) +58 = 2(4k + 5)
one solution
no solutions
infinite solutions
Answers
Answer:
infinite solutions
Step-by-step explanation:
Given
8(k - 6) + 58 = 2(4k + 5) ← distribute parenthesis on both sides
8k - 48 + 58 = 8k + 10 , that is
8k + 10 = 8k + 10
Since both sides are equal then any value of x will make the equation true.
There are an infinite number of solutions
Solve for c in the proportion.
Answers
Answer:
c = 3
Step-by-step explanation:
you have to multiply then divide
9 × 1 = 9
then divide...
9 ÷ 3 = c = 3
there you have it, folks
Hey can anyone help me I need this ASAP please:)
Answers
Answer:
keep adding 35 to the graph
Step-by-step explanation:
what is the answer to 9/11 - 4/11
Answers
Answer:
the answer is approximately 0.4545
Step-by-step explanation:
I just searched it on google. i got you my guy
Answer: 5/11
The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).
So: 9/11 - 4/11 = 5/11
Please help, will mark brainliest for the correct answer
Answers
Answer:
C. 23/21
Step-by-step explanation:
Please mark brainliest
please help! i will give brainliest!
Answers
Answer:
B represents 9. The opposite would be -9
Step-by-step explanation:
If f(x) = x2 – 3, find f (5)
Answers
Answer:
5*2 - 3
10-3
7
Step-by-step explanation:
mark me as the brainliest
Which means f(5)=7
Will do a brainly! 4/7=18/31.5
Answers
Answer:
True
Step-by-step explanation:
4 ÷ 7 = 0.571418 ÷ 31.5 = 0.5714Because they are the same result, the two fractions are equal. Therefore, the equation is true.I hope this helps!
The graph shows the relationship between inches, x,
and miles, y, on a map. Which equation represents the
proportional relationship?
O y = x + 5
O
х
O y = 5x
O y = 10x
Answers
Answer:
B
Step-by-step explanation:
Since one inch on a map must represent a few miles in reality, B is the only logical answer to this question
After a bad break up, you decide to burn all the things a former boyfriend/girlfriend has given to you and any keepsakes. You have 50 items to put into the "pit" to burn. There are 85% of the items remaining at the end of 5 minutes. When will all your memories be gone?
Answers
Answer:
5.9 minutes
Step-by-step explanation:
85% of 50 items is gone in 5 minutes
42.5 items = 5 minutes
50 items = x minutes
42.5 items × x minutes = 50 items × 5 minutes
x = 50 items × 5 minutes/42.5 items
x = 5.8823529412 minutes
x ≈Approximately to 1 decimal place 5.9 minutes
All your memories be gone in 5.9 minutes