A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function
Answer:
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
Step-by-step explanation:
[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]
Expand and get
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
The standard form will be [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
What will be the standard form of the given expression?The given expression is
[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]
[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]
[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
Thus the standard form will be
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
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Hazel works at The Last Page Booksellers. Her total earnings were $24,000 last year. Hazel
paid $157 in payroll taxes for every $1,000 she earned.
What was Hazel's net income for last year?
Answer:
Step-by-step explanation:
157x24 = ...
Graph the function.
h(x)=1/3x^2 + 2x - 4
Answer:
this should be right
Step-by-step explanation:
what is 20/3 in pounds
Answer: 6 2/3 pounds.
Step-by-step explanation:
Answer:
6 2/3 pounds
Step-by-step explanation:
What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x – 5y 20?
Answer:
y=-5x/4-2
Step-by-step explanation:
4x – 5y = 20
y = (4/5)x - 4
slope is 4/5
let new slope m:
(m)(4/5)=-1
m=-5/4
point slope form:
(y-3)/(x+4)=-5/4
y-3=-5x/4-5
y=-5x/4-2
Which fraction is equivalent to a repeating decimal? A. 1/8 B. 2/8 C. 14/21 D. 3/10
Answer:
C
Step-by-step explanation:
14/21 = 2/3 = .666666666666666666666.....7
Please explain in words.
Answer:
No
Step-by-step explanation:
When you are adding a positive by a negative, simply subtract and take the sign of the larger number.
Ahmed fills 6 pitchers with juice. Each pitcher contains 2 quarts 1 pint. How many pints of juice does he have?
Answer: 30 pints of juice
Step-by-step explanation:
Note: 1 quart = 2 pints.
2 quarts = 4 pints
4 pints + 1 pints=5
So in each pitcher there are 5 pints of juice
5 times 6 = 30
pls pls pls pls helpppp
Answer:
$5.95
Step-by-step explanation:
7/20 = .35 cents per ounce
.35*17=5.95
Plz help me
A.6x3+2 3/4=20 3/4 cm3
B.6x3x2 3/4= 49 1/2 cm3
C.6+3+2 3/4=11 3/4 cm3
D.3x2 3/4= 8 1/4
Answer:
The answer to this would be B.
Step-by-step explanation:
When finding the volume of a three-dimensional object you want to use the formula, (Length) x (Height) x (Width) = (Volume)
In this case, 6 cm is your height
3 cm is your length,
and 2 3/4 cm is your width.
When you plug in those numbers, the only equation that matches is B. 6x3x2 3/4.
Hope this helped!
Siobhan makes jewelry to sell online and wants to
charge prices comparable to other similar listings.
What is Siobhan's hourly wage if it takes her
2.5 hours to make each piece of jewelry? Enter your
answer as a whole number, such as: 14.
Cost of supplies
$6.50
Seller fees
12% of selling price
Average price of similar listings
$80
Sales tax
8% of selling price
2.5
6,50
Answer:
23
Step-by-step explanation:
Joel had 200 coins,
which were dimes and quarters. The total value is $32.
Answer:
Joel had 120 dimes and 80 quarters.
Step-by-step explanation:
Given that Joel had 200 coins, which were dimes and quarters, and the total value was $ 32, to determine how many coins of each type he had, the following calculation must be performed:
0.25 - 0.10 = 0.15
200 x 0.10 = 20
32 - 20 = 12
12 / 0.15 = 80
200 - 80 = 120
(80 x 0.25) + (120 x 0.1) = X
20 + 12 = X
32 = X
Thus, Joel had 120 dimes and 80 quarters.
Write the equation of a quadratic function who has the vertex of (4,-7)
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
[tex]y=a(x-4)^2+(-7)[/tex]
[tex]y=a(x-4)^2-7[/tex]
The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.
Putting a=1, we get
[tex]y=(1)(x-4)^2-7[/tex]
[tex]y=(x^2-8x+16)-7[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=x^2-8x+9[/tex]
Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].
In a certain country, the true probability of a baby being a boy is 0.519. Among the next nine randomly selected births
in the country, what is the probability that at least one of them is a girl?
Answer:
0.9973
Step-by-step explanation:
Given :
Probability of girl, probability of success , 1 - p = 1 - 0.519 = 0.481
1 - p = 0.481
n = 9
Probability that atleast one is girl
Usingbthe binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
USing the binomial probability calculator :
p(x ≥ 1) = p(x=1) + p(x=2) + p(x=3) + p(x=4) + p(x=5) + p(x=6) + p(x=7) + p(x=8) + p(x=9)
p(x ≥ 1) = 0.9973 ( from calculator).
Help me please & Thx
Not really understanding
If you help me i can help you :>
THANKS <3
*BTW this is pre-algebra*
Answer: 16 times 20 is 320
Step-by-step explanation: 1 floor is 16 feet. Because of 32/2 to find the rate
Given that m*n = 3m-n/2 , evaluate 6*(3*1)
Answer:
24
Step-by-step explanation:
m × n = 3m - n ÷ 2
6 × (3 × 1)
6 × 4
24
Pls answer this for mw
Answer:
True.
Step-by-step explanation:
< ABF and < FBE are supplementary angles because when we sum up both we get 180°
Hope it will help :)❤
Lani has 84 Lego blocks and 25% were red. How many red Lego blocks does Lani have? Show and explain your work.
Answer:
21
Step-by-step explanation:
84x0.25=21
25% is 0.25 as a decimal. Multiply it times 84 to find the answer.
Four pounds of apples cost $5. Eight pounds of apples cost $10. If the total cost of apples, y, varies directly with the number of pounds of apples purchased, x, what is the cost of 6 pounds of apples? Round your answer to the nearest hundredth.
$0.80
$1.25
$4.80
$7.50
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = kx
k is constant of proportion
Four pounds of apples cost $5
5 = 4k
k = 5/4 = 1.25
10 = 8k
k = 10/8 = 1.25
As it should be, k is a constant equal to 1.25
y = 6(1.25) = $7.50 for 6 pounds of apples
Answer:
the answer is D
Step-by-step explanation:
i took the test on edg your welcome
Pls help this is due today! Find the value of x, then the value of each angle:
Answer:
x = 29
angles are 90 degrees, 56 degrees, and 34 degrees
Step-by-step explanation:
90 + (2X-2) + (X+5) = 180
3X + 93 = 180
3X = 87
X = 29
the positive integer N is the smallest one whos digits add to 41. what is the sum digits of N+2021
Answer:
use this videos to help you
Can y’all solve this please
Answer:
it = my but lol
Step-by-step explanation:
lol sorry just trying to get points
What is the solution to 5x - 15 = -25 ?
Answer:
-2
Step-by-step explanation:
Add 15 to both sides
5-15+15=-25+15x=-10
Dive by 5 both sides
5/5=-10/5
x=-2
Without performing the calculations, which expression equals the greatest value?
A)
2x (3-5)
B)
3x (
3-5)
)
5x (3-5)
D)
7x (3-5)
2. Find the slope of GL, and BH using the coordinates; B(-4,3), G(-2, 4), H(1, -2), L(-1, -3). then determine if the lines are parallel.
Given:
The coordinates of the points are B(-4,3), G(-2, 4), H(1, -2), L(-1, -3).
To find:
Whether GL and BH are parallel or not by using their slopes.
Solution:
If a line passes through the two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the slope formula, the slope of GL is
[tex]m_1=\dfrac{-3-4}{-1-(-2)}[/tex]
[tex]m_1=\dfrac{-7}{-1+2}[/tex]
[tex]m_1=\dfrac{-7}{1}[/tex]
[tex]m_1=-7[/tex]
Using the slope formula, the slope of BH is
[tex]m_2=\dfrac{-2-3}{1-(-4)}[/tex]
[tex]m_2=\dfrac{-5}{1+4}[/tex]
[tex]m_2=\dfrac{-5}{5}[/tex]
[tex]m_2=-1[/tex]
We know that slopes of parallel lines are always equal.
The slopes of GL and BH are -7 and -1 respectively but they are not equal, therefore GL and BH are not parallel lines.
use the method of successive differences to determine the next number in the given sequence 4; 32; 160; 798; 2706; 7164; 16,142 assuming the the pattern continues , the eighth term would be
Answer:
32470
Step-by-step explanation:
4; 32; 160; 798; 2706; 716
28;128;638;1908;4458
100;510;1270;2550
410;760;1280
350;520
170
7th: 170+520+1280+2550+4458+7164=16142
4; 32; 160; 798; 2706; 7164;16142
28;128;638;1908;4458;8978
100;510;1270;2550;4520
410;760;1280;1970
350;520;690
170;170
8th: 170+690+1970+4520+8978+16142=32470
what are prime factors
Answer:
Prime Factors is a factor of a given integer which is also a prime number.
Round 117.22666 to the nearest tenths
Answer:
117.2
Step-by-step explanation:
Rounding a number to the nearest tenth:
A number rounded to the nearest tenth will have one decimal place.
To do this, we look at the second decimal digit.
If it is less than 5, the first decimal digit is kept.
Otherwise, one is added to the first decimal digit.
In this question:
117.22666
The second decimal digit is 2, which means that we keep the first decimal digit which is also 2.
So, the number rounded to the nearest tenth is 117.2.
A new car is purchased for 21100 dollars. The value of the car depreciates at
10.5% per year. What will the value of the car be, to the nearest cent, after 6
years?
Answer:
10,844.78
Step-by-step explanation:
State whether each pair of expressions are equivalent. Show your work.
5 ( x - 1) and 5x - 1 HELP
Answer:
Both of them are NOT equivalent.
Step-by-step explanation:
Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.
5(x - 1)
= 5x - 5
This tells us 5(x - 1) is not equivalent to 5x - 1.