Answers
Answer:
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]
As the highest power of the x-variable is 3 with the leading coefficients of 1.
So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.solving to get the zeros
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]
[tex]0=x^3-6x^2+3x+10[/tex] ∵ [tex]f(x)=0[/tex]
as
[tex]Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]
so
[tex]\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]
Using the zero factor principle
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]
[tex]x=-1,\:x=2,\:x=5[/tex]
Therefore, the zeros of the function are:
[tex]x=-1,\:x=2,\:x=5[/tex]
[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Therefore, the last option is true.
Related Questions
Given that YX=YZ write an inequality that relates m
Answers
Answer:
C. m<XYA > m<ZYA.
Step-by-step explanation:
Since XY = YZ, as indicated in the information given, the angles opposite XY and YZ would also be of equal measure of degrees.
Thus, XA = 5. The angle opposite XA is m<XYA.
ZA = 3. The angle opposite ZA is m<ZYA.
Since XA > ZA, therefore,
m<XYA > m<ZYA.
if you get paid semimonthly it means you get paid *
A. less money than someone getting paid weekly because there are more weeks in a
year
B. every other month or 6 times
C. less in February because its a short month
D. twice a month or 24 times per year
Answers
Answer:
The answer is D.
Step-by-step explanation:
Semi-monthly means every half month, you will get paid once. So each month you will get paid twice.
Answer:
y=mx+b
Step-by-step explanation:
what does 9a-2=12+2a
Answers
Answer:
a=2
Step-by-step explanation:
Subtract 2a from both sides.
9a−2−2a=12
Combine 9a and −2a to get 7a.
7a−2=12
Add 2 to both sides.
7a=12+2
Add 12 and 2 to get 14.
7a=14
Divide both sides by 7.
a=[tex]\frac{14}{7}[/tex]
Divide 14 by 7 to get 2.
a=2
Convert 9.7 liters to milliliters
Answers
Answer:
9700 milliliters
Step-by-step explanation:
9.7 liters is equivalent to 9,700 milliliters.
To convert liters to milliliters, we need to multiply the given value by 1,000 since there are 1,000 milliliters in 1 liter.
So, to convert 9.7 liters to milliliters, we multiply 9.7 by 1,000:
9.7 liters * 1,000 = 9,700 milliliters.
Therefore, 9.7 liters is equivalent to 9,700 milliliters.
The conversion from liters to milliliters involves shifting the decimal point three places to the right since each milliliter is 1/1,000th of a liter. This conversion is essential when dealing with smaller units of volume and allows for more precise measurements in contexts such as laboratory experiments or pharmaceutical dosages.
Learn more about conversion here
https://brainly.com/question/30387440
#SPJ6
When do you need an exponent that is equal to zero? When do you need an
exponent that is negative? What makes these exponents useful?
Answers
When an exponent is equal to 0, the whole expression equals one. It does not matter what the base is - the expression will always equal 1. When the exponent is negative, the expression equals 1 over the expression. Here are some examples where this might be useful:
[tex]x^{0} = 1[/tex][tex]x^{-4} = \frac{1}{x^4}[/tex]Hope you found this helpful!
Answer:
first, decay
second, B
third, 0.86
Step-by-step explanation:
edge 2021
need help asap!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
really?
Step-by-step explanation:
u better give me brainliest for this:
BAC goes to BAC
BCA goes to BCA
DAC goes to DAC
and suprise suprise
DCA goes to DCA
Write the linear equation in Slope-Intercept Form y = mx + b of the line that passes through the given points, then graph
the line.
Answers
Answer:
y = 3x + 7.
To graph the line mark off the 2 points and draw a line through them.
Step-by-step explanation:
The slope = (-2-7) / (-3-0)
= -9/-3
= 3.
The value of b is found using the point-slope form of a line:
y - y1 = m(x - x1)
using m = 3, (x1, y1) = (0, 7):
y - 7 = 3(x - 0)
y = 3x + 7.
Can someone please help me with this question?!
Answers
Answer:
-5
Step-by-step explanation:
The slope is given by
m= ( y2-y1)/(x2-x1)
= ( 0-10)/(2-0)
= -10/2
= -5
Hugo took a math test with 40 questions. If he got 75% of the answers correct, how many did he answer incorrectly?
Answers
Answer:\
10
Step-by-step explanation:
25 % correct ie, 40 * 25/100
=10
plz mark as brainliest!!
Grace can read 840 words in 7 minutes. At that rate, how many words can she read in one hour
Answers
Answer:
5740
Step-by-step explanation:
I need help with THIS
Answers
Answer:
1) 10x
2)360-(5x+20)-10x-(7x-8) (I think?)
3) 7x-8
4) 5x+20
Step-by-step explanation:
Answer:
x=15.8degrees
Step-by-step explanation:
10x+5x+7x+20-8=360
22x+12=360
=22x=360- 12
22x=348
x=15.8 degrees
A lamppost casts a shadow that is 15 yards long. A 3-foot-tall mailbox casts a shadow that is 5 yards long. How tall is the lamppost?
The lampost is feet tall.
Answers
Answer:
I think the answer is 9 feet
Step-by-step explanation:
A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.
Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce
What is the average error in the scale displays?
–4 ounces
–1 ounces
0 ounces
1 ounce
Answers
Answer:
-1
Step-by-step explanation:
Sherlock wants to rent a textbook. He has to pay a fixed base cost plus a daily rate for renting the textbook. The table shows the amount of money, y, in dollars, that Sherlock has to pay for renting the textbook for x days:
Textbook Rental
Number of days
(x) Rent (dollars)
(y)
0 6
1 13
2 20
3 27
4 34
Which equation best shows the relationship between x and y? (1 point)
a
y = x + 13
b
y = 7x + 13
c
y = x + 6
d
y = 7x + 6
Answers
Answer:
D
Step-by-step explanation:
Y=kx+n
The table says when x=0 y=6 which means
N=6
Now we need k.
13=k*1+6
K*1=7
K=7
Y=7x+6
Please help!!!!!!!!!!!!!!! With all of them.
Answers
Answer:
1: SSS
2: SAS
3: SSS
4: SSS
5: SAS
6: SSS
Step-by-step explanation:
(^2 - 9)(x^3 + 3)
Pls someone answer this for me;(
Answers
Answer:
x^5-27
Step-by-step explanation:
add the exponents
multiply the rest
Starting with number 0 on my calculator, I do a calculation in five steps. At each step, I either add 1 or multiply by 2. What is the smallest number that cannot be the final result?
Answers
Answer:
assuming only positive integers, the answer is 1
Step-by-step explanation:
the smallest number that you can get by adding is:
start with 0then add 1 = 1add another 1 = 2add another 1 = 3add another 1 = 4add another 1 = 5but you can also multiply, and anything multiplied by 0 is 0:
start with 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0multiply by 2 = 0The question does not say that we need to do any specific calculation, it only gives us 2 options and we can choose them as many times as we want.
what is the answer to this equation ... 3 + 2c + 5c + 2 ??
Answers
you can’t add the c and the regular number unless they have the same variable
Answer:
solution:7c+5
whats this answer i need it fast uwu
Answers
Pick points: (1,10) , (2,8)
(8-10)/(2-1) = -2/1 = -2
Y = -2x + b
10 = -2 + b, b = 12
It would be the first response
12 = initial while -2 is rate of change
3. Read the conjecture below. Select all of the true statements about this conjecture. If you multiply two numbers, then the product is greater than either number. Select all that apply. a. This conjecture is true. For example, (7)(4) = 28. The product of 28 is greater than 7 and greater than 4. b. This conjecture is false. There is a counterexample that would prove this conjecture false. c. This conjecture is false: . d. There is not enough information.
Answers
Answer:
This conjecture is false. There is a counterexample that would prove this conjecture false.
Step-by-step explanation:
Given the conjecture that if you multiply two numbers, then the product is greater than either number is very false. There is a counterexample that would prove this conjecture false.
The counter example is as shown;
Let the two numbers be 1 and 2.
Take their product;
1(2) = 2
We can see that their product which is 2 although greater than 1 is not greater than the other number but equal to it. This example therefore counter the conjecture. This is applicable to numbers with 1 included.
Solve the equation y = ax − b for the variable x.
Answers
Answer:
x = y/a + b/a
? is that what you meant
Step-by-step explanation:
Answer:
the answer is d) x = y/a+ b/a
Step-by-step explanation:
brainliest pleasee
IM STUCK WITH THIS, ITS BETWEEN 22 OR 12 CAN SOMONE CHECK?
ILL MARK U BRAINIEST
Answers
Answer:
12
Step-by-step explanation:
it’s 12 because 4 x 3 = 12
Plug the given values into the equation:
pi4^2*3
Evaluate
pi16*3
The volume of the cylinder in terms of pi is 48 pi units cubed.
For an exact answer, use 3.14 for pi and evaluate:
3.14*4^2*3
3.14*16*3
The volume of the cylinder is 150.72 units cubed.
Simplify.
Look at the picture
Answers
Answer:
1397.970007
Step-by-step explanation:
I listen to r & B music but I wanna try another genre. Any music suggestions?
Answers
Answer:
rap
Step-by-step explanation:
eminem brainliest pls
Answer:
Maybe try pop or hip-hop? Check out artists similar to Khali Uchis, she has contemporary R&B, pop and hip-hop.
1. Carlos is trying to read 12 pages of his book a night. The book has 156 pages. How many days, d, will it
take him to finish the book? Choose the equation below that models this situation.
A. 12d = 156
B. 1560 = 12
C.
156
12
D.
12
=d
156
Answers
Answer:
12d = 156
Step-by-step explanation:
Carlos is reading 12 pages / day
The total amount to read is 156
In order to find the days, you have to divide 156 by 12 or
Equation:
12d = 156; furthermore
d = 13 days, meaning it will take 13 days to read 156 pages.
Answer:
A. 12d = 156
Step-by-step explanation:
The book has a total number of 156 pages. If he reads 12 pages per night, we need to multiple the total number of days by the amount he reads per night in order to get 156. Since we don't know how many days it will take, we will use d to represent the amount of days. So, the equation ends up looking like this:
12d = 156
d represents the amount of days it will take for Carlos to read the book.
plz help
will give brallest
Answers
Answer:
your answer is the very first one
Step-by-step explanation:
Oaquin earns 2.00 for each magazine sale. Each time he sells a magizine he also gets a five daller-tip. How much money will he earn after selling x magazines
Answers
Answer:
$7 per magazine sale
Step-by-step explanation:
1 magazine = $2
$5 per magazine
$7 per magazine sold
is 3.625 an irrational number? or is it a whole number?
Answers
Answer:
It is a rational number
Step-by-step explanation:
Answer:
First, step is what is irrational,
We can't say 3.625 is irrational by observing this.
Irrational is continuously repeating and recurring number
Step-by-step explanation:
[tex]( \frac{3}{5} ) - 2[/tex]
simplify
Answers
-7/5= -1.4
Good luck !
Evaluate the expression 16 + 36 = b for b = 4
Answers
Answer:
[tex]b=52[/tex]
Step-by-step explanation:
[tex]16+36=b[/tex]
[tex]Switch\:sides[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:16+36=52[/tex]
[tex]b=52[/tex]