Answer:
(4n − 1)(n − 4)
Explanation:
Factor 4n² − 17n + 4
4n² − 17n + 4
= (4n − 1)(n − 4)
Answer:
(4n − 1)(n − 4)
The factors of the expression [tex]4n^2-17n+4[/tex] are
Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
To factorize the quadratic expression [tex]4n^2 - 17n + 4[/tex], we need to find two binomial factors that, when multiplied, result in the given expression.
The factored form will have the following structure:
(An + B)(Cn + D)
To find the values of A, B, C, and D, we can use various methods such as factoring by grouping, quadratic formula, or completing the square. In this case, we will use the factoring by grouping method.
Step 1: Multiply the coefficient of the leading term (4) by the constant term (4). The result is 16.
Step 2: We need to find two numbers that multiply to give 16 and add up to the coefficient of the linear term (-17). After considering the possible pairs of numbers, we find that -16 and -1 meet these criteria.
Step 3: Rewrite the middle term (-17n) using -16n - n:
= [tex]4n^2 - 16n - n + 4[/tex]
Step 4: Group the terms and factors by grouping:
= [tex](4n^2 - 16n) - (n - 4)[/tex]
= 4n(n - 4) - 1(n - 4)
Step 5: Factor out the common binomial factor:
(n - 4)(4n - 1)
Therefore, the factored form of the quadratic expression [tex]4n^2 - 17n + 4[/tex] is (n - 4)(4n - 1).
Learn more about expression here:
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After purchasing a home for $160,00 the homeowner noticed the suggested value of her house was depreciating by 5% each year.
What is the decay factor for this situation?
A
0.05
B
0.50
C
0.95
D
1.05
PLZ HELP ASAP!!!!!
Which statement is true regarding the graphed function
A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)
what is the partial product for 1,600 and 280
Answer:
Hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which one should I choose
Answer:
100% B
Step-by-step explanation:
Answer:
The first choice: x^6y^5
Step-by-step explanation:
When you multiply exponential you add the exponents.
PLEASE HURRY
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?
8w < 32 can u guys please help me
Answer:
w<4
Step-by-step explanation:
divide both sides by 8. no need to flip the sign because 8 is positive
8/8w<32/8
w<4
Answer:
w>4
Step-by-step explanation:
8w<32
8w/8=w
What you do to one side, do to the other.
32/8=4
w<4
Flip the sign because we divided.
w>4 is your answer
Diana completes 205 jumping jacks in 5 minutes at a constant rate. How many jumping jacks did she accomplish in 2 minutes?
Answer:
82
Step-by-step explanation:
205/5=41 jumps per minute
41*2= 82 jumping jacks
hope this helps :))
Which one should I choose
Answer:
try x^2 X 6
Step-by-step explanation:
How would you do this as a decimal number ?
Answer:
-5.875
Step-by-step explanation:
Choose the number from each drop-down menu that best completes the sentence,
Maya made a mistake in step
and David made a mistake in step
WILL GIVE BRAINLIEST
Answer:
Maya mistake is in step 1
Step-by-step explanation:
Answer:
Maya in Step 1
David in Step 3
Step-by-step explanation:
Maya
5 (x-3) = 12
5x - 15 =12 (step 1)
David
3x + 3 = 2 (x - 1)
3x + 3 = 2x - 2
3x - 2x + 3 = 2x - 2x - 2
x + 3 = -2 (step 3)
plz help me this is a final!!!!
Answer: (a) 13 (b) 1
Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.
Answer:
A.13 b.-1
Step-by-step explanation:
a 6+7=13
b 6- -7=-1
what is the answer to (7×10^5)×(3×10^2)
Answer:
210000000
Step-by-step explanation:
What do we mean when we say that the k-coloring algorithm discussed in the lectures is "almost" constant-time?
Answer:
What is meant by K-coloring algorithm to be "almost" constant-time: is that the pattern through which K-coloring algorithm is applied when coloring a graph is "almost" the same every time the algorithm is applied on any graph
Step-by-step explanation:
What is meant by K-coloring algorithm to be "almost" constant-time: is that the pattern through which K-coloring algorithm is applied when coloring a graph is "almost" the same every time the algorithm is applied on any graph. this is because in the use of K-coloring algorithm no adjacent vertices are colored with the same color and if that happens the lowest numbered color that has not been colored will be applied i.e. a new color.
The aim of the K-coloring algorithm is to color a graph with the least possible amount of different colors while ensuring that adjacent vertices don't get the same color
Which statement is not true about the pattern shown 2/3 , 4/6, 8/12, 16/24 , ...
Rewrite the expression as a product using the GCF and distributive property. 27 + 45
Step-by-step explanation:
GCF of 27 and 45 is 9
Answer: 9 (3+5)
Step-by-step explanation:
The GFCF of these two numbers is 9 as they can both be divided by it
Distributive property form is when you place the GFC outside parenthesis so that the equation can be multiplied in order to show the original equation and dividing the numbers by the GCF so that it does not give you a larger number than what you started with
27/9=3 + 45/9=5
So, keeping this in mind the distributive property form would be 9(3+5)
Answer 9(3+5)
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 630 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 100 cubic of feet of fertilizer are applied, the yield will be 900 pounds of strawberries. Use linear interpolation to estimate the yield if 73 cubic feet of fertilizer are applied.
Answer:
657 pounds
Step-by-step explanation:
Given
Represent the amount of fertilizer with x and the yield with y.
So, we have:
[tex](x_1,y_1) = (70,630)[/tex]
[tex](x_2,y_2) = (100,900)[/tex]
Required:
Determine the yield (y) when fertilizer (x) is 73ft^3
Using linear interpolation, we have:
[tex]y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Substitute the x and y values using
[tex](x_1,y_1) = (70,630)[/tex] and [tex](x_2,y_2) = (100,900)[/tex];
We have:
[tex]y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}[/tex]
[tex]y = 630 + (x - 70)\frac{270}{30}[/tex]
[tex]y = 630 + (x - 70)*9[/tex]
Open bracket
[tex]y = 630 + 9x - 630[/tex]
[tex]y = 9x - 630+630[/tex]
[tex]y = 9x[/tex]
To solve for y when x = 73.
We simply substitute 73 for x
[tex]y = 9x[/tex]
[tex]y = 9 * 73[/tex]
[tex]y = 657[/tex]
Hence, the yield for 73 cubic feet is 657 pounds
2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?
Answer:
The cost of one balloon is 4 dollars
the cost of one cake is 6 dollars
Step-by-step explanation:
The way I did it was by substituting different numbers and seeing if they equaled forty or 26.
my thought process:
1 balloon= 5
1 cake= 10
that doesnt work for 2 balloons and 3 cakes
1 balloon=5
1 cake=5
that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes
1 balloon=4
1 cake=7
I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)
2 points
Jadewants to spend less than $22 on a board game. How much does the
game cost if the game is $25 and is on sale for 15% off?
Find the solutions by using the quadratic formula: *
y=x2 – 5x +11
:)))))))))))))))))))))))
Lake Okeechobee’s water level was at sea level in April. In May, the lake’s level rose 4 inches and in June it rose 2 more inches. As a result of no rain, the lake’s level fell 5 inches in July and 3 more inches in August.
Select all the expressions that describe this situation.
4 – 5
4 + 2 – 5 – 3
4 + 2 – (5 – 3)
4 + 2 – (5 + 3)
4 + 2 – (– 5) – (– 3)
4 + 2 + (– 5) + (– 3)
Answer:
B,D,E
Step-by-step explanation:
The students at Roosevelt Middle School wear uniforms. They may choose to wear either a navy blue or
white shirt each day. Yesterday, 100 of the 150 eighth-grade students wore blue shirts. What was the ratio of
students wearing blue shirts to students wearing white shirts?
Answer:
the ratio would be 2:3 simplified
Pls help me I am d$mb...
Answer:
ur not domb
Step-by-step explanation:
Determine the number of acute, obtuse, and right angles in the shape above
Answer:
2 acute, 1 obtuse, 1 right
Adita has 21 flowers.
She wants to split them equally among 7 friends.
How many flowers can Adita give to each friend?
Answer:
3 flowers each
PLEASE HELP IM GOING TO FAIL!!!
Answer:
D.
Step-by-step explanation:
the slope is going up 1 over 2 and the 1 is the y....hope this helps.
YO NEED SOME HELP ON THIS END OF GRADE SOON!!
Answer: b
Step-by-step explanation:
Cuz is a negative get in absolute value it always comes out positive
And it says below 0-9=-9
Answer:
BStep-by-step explanation:
__________________________________________________________
B is the answer because,
if the negative sign is not inside the "brackets," then the number will still be negative.
__________________________________________________________
But, if the negative sign is connected to the number, or inside the "brackets," then it will always be positive.
__________________________________________________________
Here are the reasons why the rest are wrong.
__________________________________________________________
A is not correct because the outcome isn't negative, even though it's correct in mathematical instances.
__________________________________________________________
C is not correct because it is plainly not correct in itself.
__________________________________________________________
D is also not correct because it is not correct in the mathematical equations, even though it has a -9 as the equal, it's still wrong.
__________________________________________________________
Hope this helps! <3
__________________________________________________________
How do you write this in a expression?please answer quick (take away a number n from 24)
Answer:
24-n
Step-by-step explanation: hope this helps if it does pls give brainliest tysm!
Answer:
24-n
Step-by-step explanation: we taking away so that is substraction.
George went to visit his family in California. While there, he bought a book for $24.00. The city where he bought the book had an 8% sales tax. Find the amount he paid in sales tax on the book.
net amount $24.00 tax at 8% 1.92 gross amount including tax $25.92
Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!
Answer:
880 rotations or D
Step-by-step explanation:
72 inches = 72 / 12 = 6 feet
1 mile = 5280 feet
1 rotation covers 6 feet
x rotations covers 5280 feet
1/x = 6/5280 Cross multiply
6x = 5280 * 1 Divide by 6
x = 5280 /6
x = 880
D
Suppose that Algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent US dollars) $6,844. If the Algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate?
a.
9%
b.
14%
c.
18%
d.
26%
Answer:
its B on e2020
Step-by-step explanation:
14%
If the Algerian government wishes to raise $9 billion in tax revenue, income tax rate should be 14%.
What should the income tax rate be?
Income tax is a form of tax levied on the income of labor by the government. Income tax reduces the income earned by labor.
In order to determine the income tax rate, take the following steps:
Determine the total income of the workforce: 9,416,534 x $6,844 = 64.45 billion
Now, divide the desired tax revenue by the total income: (9 billion / 64.45 billion) x 100 = 14%
To learn more about taxes, please check: https://brainly.com/question/25311567