The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals
Answer:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Step-by-step explanation:
Given that polynomial:
[tex]p(x)=x^3-7x-6[/tex]
Known factor: [tex](x+1)[/tex]
To find:
Equation of the polynomial as the product of linear factors.
Solution:
The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic. That quadratic will have 2 solutions.
We can solve the quadratic in two linear factors and as a result we will have the answer.
First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.
[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]
Solving the quadratic:
[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]
So, the answer is:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Answer:
(x+1)(x+2)(x-3)
Step-by-step explanation:
8.78 = 6.2 show your work
Answer:
don't cheat
Step-by-step explanation:
no answer for you
A certain map shows two roads. Road A is 1 1 2 miles long but is 1 7 8 inches long on the map. What is the unit rate for inches per mile on this map? If road B is 8 miles long, how long is road B on the map?
Answer:
a) What is the unit rate for inches per mile on this map?
= 5/4 inches per mile
b) If road B is 8 miles long, how long is road B on the map?
10 inches on the map
Step-by-step explanation:
a) A certain map shows two roads. Road A is 1 1/2 miles long but is 1 7/8 inches long on the map. What is the unit rate for inches per mile on this map?
Unit rate for inches per mile is calculated as:
1 7/8 inches/ 1 1/2 miles
= 15/8 / 3/2
= 15/8 × 2/3
= 5/4 inches per miles
b) If road B is 8 miles long, how long is road B on the map?
The unit rate is given as:
5/4 inches per miles
Hence,
Road B = 8 miles long
The length of Road B on the map =
5/4 inches per miles × 8 miles
= 10 inches
if 2 consecutive Integers have a Sum of 127, find the number
Hey my old account is ilikebug it got into minus points somehow so this is my new account
Answer: Hi hope your new account doesn't malfunction.
Kedar earns a monthly salary of $2,200 plus a 3.75% commision on the amount of his sales at men's clothing store. What would he earn this month if he sold $4,500 in clothing?
Answer:
$2368.75
Step-by-step explanation:
Kedar earns a monthly salary of $2200 and a commission of 3.75%
He sold $4500 this month
The first step is to calculate his commission for this month
His commission can be calculated as follows
= 4500 × 3.75/100
= 4500 × 0.0375
= 168.75
Therefore yr amount earned this month can be calculated as follows
= 2200 + 168.75
= $2368.75
What is the slope intercept form of a line perpendicular to the line y= -3/2x -7 which passes through (-3,-4)?
Answer:
y= -3/2^2-7x-23/2
Step-by-step explanation:
Answer:
y=-3/2x
Step-by-step explanation:
(25)2×100÷23+[24÷(13−5)]
Answer:
100*100/23+(24/8)
100*100/23+3
100*4.37+3
43.7+3
46.7
Step-by-step explanation:
0.6 divided by what equals 2.5
Answer:
1.5
Step-by-step explanation:
Do the reverse/opposite/check division with multiplication.
2.5 · 0.6 = 1.5
lemon made 8 5/8 cups of lemonade. she drank 4 3/8 cups of the lemonade. how many cups of lemonade does she have left
Answer: 4 1/4
Step-by-step explanation:
8 5/8
-4 3/8
4 2/8 or 4 1/4
A stick is 20cm long.A student makes a 5% error in measuring the stick. find two possible values for the student's measurement
The two possible measurements given by the student are :
19 cm or 21 cmGiven the Parameters :
Length of stick = 20 centimeters Percentage Error in measurement = 5%The length of the error in measurement can be calculated thus :
Percentage error in measurement × length of stick 20 cm × 5% = 1 cmTherefore the student's measurement can be expressed as :
Actual measurement ± actual length 20 - 1 or 20 + 1 19 or 20Therefore, the possible measurements of the student are 19 or 21 cm
Learn more : https://brainly.com/question/18796573
What is the area of this trapezoid?
Answer:
153
Step-by-step explanation:
x+2y-z = 9
-2x+y+z= 1
2x-y+2z= -5
Answer:
I don't understand the first one
a cube of wood exerts a pressure of 2Pa when it is placed on a floor . What is the force exerted by the cube if its surface area is 5m square?
What is the answer to The sum of 2 numbers is 19 and their difference is 3? And thank you brainly for helping. I need the answers correct because I play prodigy, a math game. Thank you!
Answer:
11 and 8
Step-by-step explanation:
11+8=19
11-8=3
Answer:
8 and 11
Step-by-step explanation:
Round 59..166 to the nearest tenth
Answer:
59.2
Step-by-step explanation:
so each number placement after the decimal is different.
it goes tenths place, hundredths place, thousandths place, ten thousandths place and so forth
Answer:
59.2
Step-by-step explanation:
the tenth place is the 1st place on the right side of the dwecimal. so this rounded to the nearest tenth woul be 59.2, since 6 is enough to make 1 round up one more
What is 8 times 5 times 6 times 21
Answer:
5040
Step-by-step explanation:
multiplying is just repeated addition so this would be the same as adding 8+8 5 times and 21+21 6 times
Please help will give brainliest if its correct
Answer:
radius squared
Step-by-step explanation:
Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?
Answer: The answer is 27
Given:
Mr. Roberts will drive 56 milesHe has 29 more miles to goWe will:
Subtract the total distance he plants to travel by the amount he has left.
Equation: [tex]\mathrm {56 - 29 = 27}[/tex]
Our answer is 27. Best of Luck!
please everyone mark me as brainlest
Answer:
for brainliest you have to give answers not to ask questions
Step-by-step explanation:
then the people choose you brainliest if you give good answers
BRAINLIEST! Please help me with the following riddle (its part of an assignment):
If an electric train is traveling south, which way is the smoke going?
Answer:
The electric train produces no smoke.
Step-by-step explanation:
Hope this helped! :>
Answer:
There is no smoke. This is because the train is electric so it does not even matter the direction.
Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch? Group of answer choices 4/7 3/4 1 3/4 1 1/2
Answer: 1 3/4 cups of apples in each batch
Step-by-step explanation:
STEP 1
Writing out the equation to represent if 7 cups of apples make 4 batches One batch is as a result of how many cups of apples
LET x be number of cups of apples to make each batch
7 cups of apples = 4 Batches
x cups of apples = 1 Batch
STEP 2 Solving by cross multiplication
1 batch x 7 cups of apples = 4 batches X x cups of apples
x cups of apples=1 batch x 7 cups of apples / 4batches
x = 7 / 4 = 1 3/4
number of cups of apples to make each batch= 1 3/4
7th grade math
I will give brainliest to right answer
6 = -4/5 s
what is the value of s
Answer:
[tex]\frac{-4}{5} s = 6\\-4s = 6*5\\-4s = 30\\s = \frac{30}{-4}[/tex]
s = 30/-4 or -7.5
A train covers 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?
Answer:
242
Step-by-step explanation:
165 ÷ 15 = 110
110 × 2.2 = 242
The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
A train covers 165 km in 1.5 hours.
The ratio of distance covered to the number of hours is 165/1.5.
Let's say in 2.2-hour train travel x number of km.
The ratio of distance covered to the number of hours x/2.2
Both ratios must be the same,
x/2.2 = 165/1.5
x = 110 x 2.2 = 242 km
Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
7 3 2 = 2 insert symbols
Answer:
7 - 3 - 2 = 2
Step-by-step explanation:
(1+sinA-cosA)/1+sinA+cosA=(1+sinA+cosA)/1+sinA-cosA=2cosecA
Answer:
Hi,
LHS = sinA-cosA+1/sinA+cosA-1
divide both numerator and denominator by cosA
LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)
Now
sec2A=1+tan2Asec2A=1+tan2A
sec2A−tan2A=1sec2A−tan2A=1
Using above relation at denominator of LHS
LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)
LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))
LHS=1/(secA−tanA)LHS=1/(secA−tanA)
LHS=RHSLHS=RHS
Hence Proved.
I think above proof will clear your doubt,
All the best.
Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equations? (4 points)
a
It is (18, 9).
b
It is (9, 18).
c
There are infinitely many solutions.
d
There is no solution.
a total of 234 tickets were sold for the school play. they were either adult tickets or student tickets. the number of students tickets sold was two times the number of adult tickets sold. how many adult tickets were sold.
Answer:
78 adult tickets were sold
2x + x = 234
3x = 234
x = 78
.
Round 1.567 to the nearest tenths place.
1.5
1.6
1.57
1.56
Answer:
1.567 rounded to the nearest tenth place
5 is in the tenth place and 6 is after it. 6 is above 5, so 5 rounds up.
1.6 is your answer
danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))
Answer:
The function is non linear.
Step-by-step explanation:
Answer:
The function is nonlinear
Step-by-step explanation:
I got it wrong when i guessed something else