Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3 - I.
f(x)=
Answer:
f(x) = x³ - 6x² + 5x + 12Step-by-step explanation:
Given polynomial function f(x) with:
a = 1, r₁ = 4, r₂ = 3, r₃ = -1With the least degree it is:
f(x) = 1*(x - 4)(x - 3)(x - (-1)) = (x² - 7x + 12)(x + 1) = x³ - 6x² + 5x + 12plss help ill give brainlest
Please answer my question
Answer:
180 667 777 98827
Step-by-step
the graaph has three differnt lines that connet
8/10……………………………………………………
Answer:
|3x+4| +6
Step-by-step explanation:
f(x) = |3x+4| +2
g(x) =4
f(x) + g(x) = |3x+4| +2 +4
= |3x+4| +6
5. Which pair of trig functions are equivalent?
(20 Points)
sin 23. sin 67
cos 41. sin 41
cos 58, sin 122
cos 76, sin 14
WILL MAKE BRAINLIEST IF CORRECT <3
Answer: cos(76°) ---> sin(14°)
Which statement can you use to conclude that a relationship must be non-proportional?
The graph of the relationship is linear.
The graph of the relationship is linear.
The equation of the relationship is in the form y = kx
The equation of the relationship is in the form, y = kx
The relationship has a constant rate of change.
The relationship has a constant rate of change.
The y-intercept of the graph of the relationship is ( 0, 1).
9514 1404 393
Answer:
(d) The y-intercept of the graph of the relationship is ( 0, 1).
Step-by-step explanation:
The y-intercept of a proportional relation is always zero. If it is 1, the relationship must be non-proportional.
percent of change original:8 new :12
Answer:
?????????
Step-by-step explanation:
What are u asking
(7-3t)-5(1.6t+5) please help me
Answer:
5t - 18
Step-by-step explanation:
to much to type but that's the answer to your question
what divided by 13 is 4
Answer:
52Step-by-step explanation:
what divided by 13 is 4
4 * 13 = 52
----------------------------
check
52 : 13 = 4
the answer is good
Answer:
52
Step-by-step explanation:
fill in the blank. what number is next 17,255,3825
Mrs. Patel needs
7/8
yards of fabric to make one shirt. Mrs. Patel bought 10 1/2 image yards of fabric. How many shirts can she make?
Answer:
12 shirts
Step-by-step explanation:
I used the method keep, change, flip (KCF) to divide fractions and solve this problem.
This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.
so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.
that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts
7 less than 6 times a number is equal to 9 more than 4 times a number. What is the number?
Answer:
Write an equation the represents the words.
6x - 7 = 4x + 9
To solve for x (the number), isolate it from the other variables.
Subtract 9 from both sides.
6x - 7 - 9 = 4x
Combine like terms.
6x - 16 = 4x
Subtract 6x from both sides.
-16 = 4x - 6x
Combine like terms.
-16 = -2x
Divide both sides by -2.
-16/-2 = x
x = 8
The number is 8.
Hope this helps! :)
Answer:
The number is 8.
Step-by-step explanation:
Hello there!
We're given an unknown number, let's call this number n
We know that 7 less than 6 times n is equal to 9 more than 4 times n
Let's break that statement down, starting with "7 less than 6 times n"
6 times n should be 6n, since 6 * n = 6n
"7 less" means subtraction.
So "7 less than 6n" should be 6n-7
Now with "9 more than 4 times n"
4 times n should be 4n, as 4 * n = 4n
"9 more" means addition
So "9 more than 4n" should be 4n+9
The statement says that 6n-7 is equal to 4n + 9, and so when we write it as an equation:
6n - 7 = 4n + 9
Now we can solve the equation
Subtract 4n from both sides
2n - 7 = 9
Add 7 to both sides
2n = 16
Divide both sides by n
n=8
The number is 8
PS. we can substitute 8 back into the equation as n to see if it works:
6(8)-7=4(8)+9
Multiply
48-7=32+9
41= 32 + 9
41=41
It works :))
Hope this helps!
6
How much
10 500
A pile of bricks weighs 22 kg.
18750g of bricks are removed. What weight is left?
Answer:
3,250g
Step-by-step explanation:
22kg = 22,000g - 18,750g = 3250g
HELP IM LATE LOL In an aquarium, ⅖ of the fish are surgeonfish. Of these, ¾ are yellow tangs. What portion of all fish in the aquarium are yellow tangs?
Answer:
1 and 3/20 total, 15/20 of the fish are yellow tangs which would also be 75%.
Step-by-step explanation:
2/5 and 3/4 need to be converted into a fraction with a similar denominator. 5x4= 20, so 20 is our denominator.
To find the numerator, we need to multiply 2 by 4, which equals 8, and 3 by 5 which equals 15.
8/20 + 15/20 = 23/20 or 1 3/20
Turn into a equivalent form 6x²+13x+5
Answer:
Assuming the questions wants another form of 6x²+13x+5:
(2x+1)(3x+5) would work.
Step-by-step explanation:
Multiply (2x+1)(3x+5) and you'll get 6x^2+13x+5
Your friend solved the equation 4x+12x−6=4(4x+7) and got x=34. What error did your friend make? What is the correct solution?
Answer:
=34
Step-by-step explanation:
4x+12x-6=4(4x+7) ur question
using BODMAS
4x+12x-6=16x+28
16x-6=16x+28
16x-16x=28+6
0=34
but make sure your question is right, can you go through it again
Helpppppppppppp 70,000x379=????
Answer:
26,530,000
Step-by-step explanation:
this is quite easy, first you can write this question differently
Just view this problem as 7 x 379 which is 2653, now count how many zeros 70,000 has, which is 4 and add it to the answer 2653, which will give you 26,530,000
The multiplication or products of 70,000 and 379 is 26,530,000
How to multiply or find the product of valuesGiven:
70,000 × 379
= 26,530,000
Where from the left,
0 = unit position0 = Ten position0 = Hundred position0 = Thousand position3 = Ten thousand position5= Hundred thousand position6 = Million position2 = Ten million position.In words, 26,530,000 is written as twenty six million, five hundred and thirty thousand.
Learn more about multiplication;
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Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2
Answer:
0.11<0.12<0.2<0.3
Step-by-step explanation:
Answer:
0.11, 0.12, 0.2, 0.3
Step-by-step explanation:
pls brainliesttt
I borrow $5 from Luis and $ 8 from Stephanie.
How do I show my debt with integers.
Answer:
-5 + -8 = -13
Step-by-step explanation:
-5 + -8 = -13
in total you owe $13 but seperat it’s $5 and $8.
also you show a debt with Integers by using negative numbers.
nico wanted to determine the number of students in his school who buy school lunch. he walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own. which method did he use to collect his data? survey simulation experiment observational study
Answer:
Observation
Step-by-step explanation:
He walked around seeing if every fifth person bought lunch
Survey - Requires asking questions
Simulation - Needs prior data to make an estimation
Experiment - Testing something
Observation - Just observing and watching
Study - Looking up data
The method he used to collect his data is observational method.
When do we perform observational study, sample survey, controlled experiment, or random experiment?Observational study is usually chosen when the researches the system is likely to produce different result if interfered.
Sample survey is done if the population is too big to analyze or destructible as the analysis occurs.
Controlled experiment is done manually, specifically to deduce conclusions. Its steps are fixed.
Random experiment is done specifically to deduce conclusions, but it is done in a random manner.
We are given that;
He saw every fifth person in cafeteria
Now,
An observational study is a method of collecting data by observing and recording the behavior or characteristics of individuals or groups without interfering or manipulating any variables. Nico did not ask any questions or change any conditions, he just observed whether every fifth person in the cafeteria bought lunch or brought their own.
Therefore, by sampling the answer will be observational method.
Learn more about sampling here:
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PLS HELP ASAP ILL GIVE BRAINLKEST PLS ANSWER ITS FOR TOMORROW TEST PLSSS THANKS
A number "n" is a minimum of 6 .
n is greater than (>) or equal to (=) 6 .
n can be 6 or more.
Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. Which inequality can be used to find any possible number of hours, X, Patricia can play games without spending more than $12
A) 6+3x < 12
B) 6-3x < 12
C)12<6+3x
D) 12 < 6-3x
***All of them have a line underneath the <****
Answer:
Step-by-step explanation
c
I need to know the answer to 2 1/3 x 4/5
Answer:
Simplify the expression.
Exact Form:
28/15
Decimal Form:
1.8¯6
Mixed Number Form:
1 13/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Convert 2 1/3 to improper fraction
[tex]2\dfrac{1}{3}*\dfrac{4}{5}=\dfrac{7}{3}*\dfrac{4}{5}\\\\\\=\dfrac{7*4}{3*5}\\\\\\=\dfrac{28}{15}\\\\= 1\dfrac{13}{15}[/tex]
George Anderson takes out $30,000 of a twenty-payment life insurance. If he is twenty-six years old, what annual premium does he pay?
Factorise this expression as fully as possible 12x - 9x?
Answer:
4x
Step-by-step explanation:
12x-9x
=4x
I hope my answer is correct
and if u like mark me as brainliest answer.
Answer:
12x - 9x
= 3x ( 4- 3)
= 3x ( 1)
= 3x
Work is shown to solve for the system of equations.
Why does the answer for y indicate that the system has no real number solutions.
O The solution does not solve for X first.
O The values for Y are square roots of negative numbers.
O The values for y have square roots.
O The values for Y have a positive and a negative value.
Answer:
B The values for y are square roots of negative numbers.
Answer:
b
Step-by-step explanation:
What is the measure of < A B C ?
143.25 °
is the correct answer.
please mark my answer as brainest and follow me to get the answer faster.
If you treat 2 friends to lunch, the 1st lunch is $12. 35, the 2nd lunch is $14. 22, and your lunch is $11. 47. You want to add a 20% tip. How much will you pay in total?.
The solution is
The total amount for the lunch is given by the equation A = $ 45.648
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount for the lunch be represented as A
Now , the equation will be
The amount for the first lunch = $ 12.35
The amount for the second lunch = $ 14.22
The amount for the third lunch = $ 11.47
The percentage of tip = 20 %
So , the total amount for the lunch without tip = $ 12.35 + $ 11.47 + $ 11.47
On simplifying the equation , we get
The total amount for the lunch without tip = $ 38.04
The amount of tip = total amount for the lunch without tip x percentage of tip
Substituting the values in the equation , we get
The amount of tip = 38.04 x ( 20/100 )
The amount of tip = 38.04 x 0.20
The amount of tip = $ 7.608
So ,
The total amount for the lunch A = total amount for the lunch without tip + amount of tip
Substituting the values in the equation , we get
The total amount for the lunch A = $ 38.04 + $ 7.608
The total amount for the lunch A = $ 45.648
Therefore , the value of A is $ 45.648
Hence , the total amount is $ 45.648
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The length of a planet's orbit around a star is approximately 22,200,000 km. It takes the planet about 1230 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf?
Answer:
Approximately [tex]12.9\; \rm km \cdot h^{-1}[/tex], assuming that this orbit is circular.
Step-by-step explanation:
The question is asking for a tangential velocity with the unit [tex]\rm km \cdot h^{-1}[/tex]. The unit of the given distance is already in [tex]\rm km[/tex] as required. Convert the unit of the orbital period to hours:
[tex]\begin{aligned}T &= 1230\; \text{day} \times \frac{24\; \rm h}{1\; \text{day}}. = 29520\; \rm h\end{aligned}[/tex].
Calculate the angular velocity [tex]\omega[/tex] of this planet from its orbital period:
[tex]\begin{aligned}\omega &= \frac{2\, \pi}{T} \\ &= \frac{2\, \pi}{29520\; \rm h} \approx 2.1285 \times 10^{-4}\; \rm h^{-1}\end{aligned}[/tex].
Given the radius [tex]r[/tex] of the orbit of this planet, the tangential velocity [tex]v_{\perp}[/tex] of this planet would be:
[tex]\begin{aligned}v_{\perp} &= \omega\, r \\ &\approx 2.1285 \times 10^{-4}\; \rm h^{-1} \times 2.22\times 10^{7}\; \rm km \\ &\approx 4.73 \times 10^{3}\; \rm km \cdot h^{-1}\end{aligned}[/tex].
If the orbit of this planet is circular, the velocity of the planet would be equal to its tangential velocity: [tex]4.73\times 10^{3}\; \rm km \cdot h^{-1}[/tex].
evaluate -4(5-(36÷4))
Answer:
16
Step-by-step explanation:
- 4 ( 5 - ( 36 ÷ 4 ) )
= - 4 ( 5 - 9 )
= - 4 ( - 4 )
= - 4 * - 4
= 16