Answer:
One example of this can be:
P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)
Step-by-step explanation:
A quartic equation is a polynomial of degree 4.
Now, remember that for a polynomial of degree n, with leading coefficient A and zeros {x₁, x₂, ..., xₙ}
The polinomial can be written as:
p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
In this case we know that we have the zeros 4, 5 and 6.
Notice that this is a polynomial of degree 4 but we have 3 zeros, so one of them may be a double one, i will assume that is the 5.
And we have a leading coefficient that we do not know, let's call it A
Then we can write our polynomial as:
P(x) = A*(x - 4)*(x - 5)*(x - 5)*(x - 6)
Now we know that the polynomial passes through the point (7, 18), then:
P(7) = 18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)
With this equation, we can find the value of A.
18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)
18 = A*12
18/12 = A
(3/2) = A
Then our equation can be:
P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)
pls help i'll give u a brainlyy
Answer: -633
Explanation:
formula is a0= a1 + (n-1)d
a0 is what ur tryig to find
a1 = -14
n= 60
d = -11
Answer:
-674Step-by-step explanation:
As,
There is always a gap of -11 in all the proceedings
Hence,
- 14 -11 = -25
-14 -(11 ×2) = -36
So,
60th term
-14 -(11 × 60) = -674 (Ans)
44444444444444 help me ples
Answer:
a
Step-by-step explanation:
[tex]\left \{ {{x=3} \atop {y+1=0}} \right.[/tex] solve graphically this linear system of equations
Answer:
The solution is the point (3, -1)
Step-by-step explanation:
We have the system of equations:
x = 3
y + 1 = 0
To solve this graphically, we need to graph these two lines and see in which point the lines intersect.
To graph the line x = 3, we need to draw a vertical line that passes through x = 3.
To graph y + 1 = 0
First we should isolate y.
y = -1
This is graphed as a horizontal line that passes through y = -1
The graph of these two lines can be seen in the image below.
Where the green line is x = 3, and the blue line is y = -1
Now, looking at the graph we can see that the lines do intersect in the point (3, -1)
Then the solution of the system is the point (3, -1)
find the LCM lowest common multiple and the HCF highest common factor of 40 and 56
Answer:
280 and 8
Step-by-step explanation:
the LCM is the lowest common multiple
the lowest multiple that can Divide 40 and 56 without a remainder = 280
the Hcf Is the highest common factor of 40 and 56
the highest number that can Divide both =8
find cos B in the triangle
The measures of two complementary angles are in the ratio of 2 : 7. Find the measurements of the two angles.
Answer: 20° & 70°
Step-by-step explanation:
We know complementary angles will add up to 90° and we also know we can divide the total by 9 parts because our ratio is 2 parts to every 7 parts.
To find each individual part size...
9x=90
x=10
so use our ratio...
2x10=20 for first angle
7x10=70 for second angle
ANOTHERRR >: D
THANKS FOR ALL THE PEOPLE HELPINGG < 3
Answer: it C trust me it right & can you please mark me Brainliest
Step-by-step explanation: Hope this help :D
☁️ Answer ☁️
C, x < 4.
2/x −3< − 1
Multiply both sides of the equation by 2.
x−6< −2 (negative 2)
Add 6 to both sides.
x < (negative 2) −2 + 6
Add −2 and 6 to get 4.
x < 4
Hope it helps.
Have a nice day noona/hyung.
Given that CAT = DOG select all statements that are true,
Answer:
The answer to this problem Is A I think
Step-by-step explanation:
Find ZUWT helpp plzz dont put links
Answer:
i can't see clear
Which situation CANNOT be represented by this equation? 6−7=29 6 x - 7 = 29 CLEAR CHECK Joel earns $7 $ 7 per hour to mow his aunt's lawn. If he spends $6 $ 6 on gas, how many hours, x , will he need to mow to have $29 $ 29 left? Joel mows his aunt's lawn for $6 $ 6 per hour. If he spends $7 $ 7 on gas, how many hours, x , will he need to spend mowing the lawn to have $29 $ 29 left? Joel takes 6 6 hours to mow his aunt's lawn. If he spends $7 $ 7 on gas, how much does he get paid per hour, x , to mow the lawn and still have $29 $ 29 left?
Answer:
Joel earns $7 per hour to mow his aunt's lawn. If he spends $6 on gas, how many hours, x , will he need to mow to have $ 29 left?
Step-by-step explanation:
The given equation is :
6x - 7 = 29
It is given that total hours be = x
Joel earns $7 per hour, so the total earning of Joel in x hours is = $ 7x
He spends $6 on gas, so = 7x - 6
He is left with $ 29 after spending on gas.
Therefore, the equation becomes :
7x - 6 = 29
Clearly, it can be seen that in this case, the given situation cannot be represented by the given equation, i.e. 6x - 7 = 29.
PLEASE ANSWER THIS ASAP I WILL GIVE YOU 5 STARS AND BRAINLIEST
Answer:
1. d
2. c
3. b
4. f
5. a
6. e
Step-by-step explanation:
Good Luck
What is the answer to 3x+2(x-1)
When a coin is flipped 20 times and lands heads up 11 times, what is the
experimental probability? Write your answer as a decimal.
Answer:
0.55
Step-by-step explanation:
11 (the time it lands on heads) /20 (the number of times it was flipped) = 0.55
find the area of the rectangle PLUM khan academy
Answer:
Length x Breadth
Step-by-step explanation:
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.
a. annual premium: $ a0
b. monthly premium: $ a1
Answer:
Step-by-step explanation:
a. annual premium: 79.35
b. monthly premium: 7.14
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten-year term. Annual premium = $1,500 per year and monthly premium = $125 per month.
What is division?One type of operation is division in mathematics. In this procedure, the phrases or numbers are divided into the same number of components.
Given: Marcie Ann Weber,
insured amount of term insurance plan = $15,000.
Number of year = 10 year
To find the amount of annual premium:
Divide the total insured amount by number of years.
Annual premium = Insured amount of term insurance plan / Number of year
Annual premium = $15,000 / 10
Annual premium = $1,500 per year
To find the amount of monthly premium:
Monthly premium = Insured amount of term insurance plan / Number of month in 10 year
Monthly premium = 15,000 / (10 x 12)
Monthly premium = 15,000 / 120
Monthly premium = $125 per month.
Therefore, annual premium = $1,500 per year and monthly premium = $125 per month.
To learn more about the division;
https://brainly.com/question/13263114
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Find the value of x.
Answer: 55
Step-by-step explanation:90-31= 59
59-4=55
Can someone explain to me what to do and what is the correct answer please? I would really like to know what to do, thank u in advance if u help me!<3
Determine the surface area of a cereal box with these dimensions width: 3 inches length: 8 inches height: 12 inches
Which expressions are equivalent to 6 + 12x
A 3(2+4x)
B. 3(2+6x)+2x
C. 5(1+2x)+1+2x
D7(1+2x)-2x-1
E 7 (1+2x)+2x-1
Answer:
A,C and D
Step-by-step explanation:
A: 3x2=6
3x4X=12X
6+12X
C: 5x1=5
5x2X=10X
5+10X+1+2X
6+12X
D: 7x1=7
7x2X=14X
7+14X-2X-1
6+14X-2X
6+12X
|13 + 5| – |7 – 10|
PLEASE STEP BY STEP
Answer:
1
Step-by-step explanation:
|13 + 5| – |7 – 10| =1
Answer:
I18I-I-3I
18-3
15
Step-by-step explanation:
One of the legs of a right triangle measures 8 cm and its hypotenuse measures 14 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
about 11.5 cm.
Step-by-step explanation:
I know the measurement of the other leg is about 11.5 cm. I know because I used the Pythagorean theorem.
a^2+b^2=c^2.
"a" and "b" are the values of the legs of the triangle, while "c" is the measure of the hypotenuse. We know that 8cm is the measure of one of the legs, and 14 cm is a measure of the hypotenuse.
8^2+b^2=14^2 simplified: 64+b^2=196
Then, I subtracted 64 on both sides, so I would have "b" by itself.
b^2=132
Next, I found the square root of both b^2 and 132, so I would find the true value of "b."
b=11.4891252931
So, the measure of the other leg rounded to the nearest tenth is about 11.5.
I need to know how much metal is needed to make the can
Answer:
we don't have any wasted metal and everything goes perfectly. In the real world, waste is inevitable.
in 50 item test nestor got 95% correctly. how many correct answers did he get
Answer: 47.5 or just 47
Step-by-step explanation: Well, to start, set up a ratio.
x / 50 = 95 / 100
95 * 50 is 4750
4750 / 100 is 47.5.
Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.
Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3, 4, 1, 2, 8, 7
Approximately what was the average low temperature for the week?
Α. 7
B. "1
C. 1
D "8
Find the lateral area of this square
based pyramid.
10
ft
10 ft
[ ? jft?
Answer:
200
Step-by-step explanation:
happy to help
The lateral area of square based pyramid is 200 square feet
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given square base pyramid has four faces of triangles and one square shape base
The lateral surface area of pyramid formula 4 × (1/2)bl,
b = side length of the base, and
l = slant height
Lateral surface area =2 bl
=2×10×10
=200 square feet
Hence, the lateral area of square based pyramid is 200 square feet
To learn more on Three dimensional figure click:
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Please help asap. This is khan acadamy
Answer:
xr 30 degrees
Step-by-step explanation:
the angles always add up to 180 sooo
53+97=150
180-150=30
there's how u solve these kinds of problems
hope this helps
The water used by the 12 students during the experiment was poured from a beaker after the water was poured 1/4 gallon of water was left in the beaker What was the total number of fluid ounces of water in the beaker before the water was poured by the 12 students
Answer:
128 fluid ounces
Step-by-step explanation:
We were told that:
During the experiment was poured from a beaker after the water was poured 1/4 gallon of water was left in the beaker
Hence, this means that the total gallon of water in the beaker is 1 gallon
Convert 1 gallon to fluid ounces
1 gallon =128 fluid ounces
Therefore, the total number of fluid ounces of water in the beaker before the water was poured by the 12 students is 128 fluid ounces.
A chi-squared test for homogeneity of proportions requires that
A. ni, n2, n3, ... > 30
B. all expected counts are > 5
C. nipi, n2p2, n3p3, ... > 10
One catalog offers a jogging suit in two colors, gray and black. It comes in sizes S, M, L, XL and XXL. How many possible jogging suits can be ordered? PLEASE HELP NO LINKS!!!
Answer:
5..
Step-by-step explanation:
if u know what to do pls help
Answer:
6.2 miles
Step-by-step explanation:
10 kilometers=.62 miles
.62*10= 6.2 miles