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:
whats 2+2 very hard I know
Answer:
4
Step-by-step explanation:
Answer:
2+2= 4
is very hard I know
THANKS
M
6x-18
3x
J
B
K
Find the value of x
Answer: The value of x is 0.5?
Step-by-step explanation:
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b.
Step-by-step explanation:
Answer:
a. 6
b. 0 i think
Step-by-step explanation:
7(1 - x) = 10 – 6(x + 2)
Answer:
Step-by-step explanation:
x=9 i think.
What is 6(x-6)=x(16-7) as well as the steps?
Answer:
x = -12
Step-by-step explanation:
6x - 36 = 9x
-36 = 3x
3x = -36
x = -12
Answer:
x = -12
Step-by-step explanation:
6(x-6) = x(16-7) given
6x - 36 = 16x -7x distributive multiplication
6x - 36 = 9x simplify
-3x - 36 = 0 subtract 9x to both sides of equality
-3x = 36 add 36 to both sides of equality
x = -12 divide by -3 to both sides of equality
What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny Miller can paint it in 6 min, then how long would it take them working together?
If Ben can paint a single coat of the fence in 8 min, then how much of the fence could Ben paint in 1 min?
If Johnny can paint a single coat of the fence in 6 min, then how much of the fence could Johnny paint in 1 min?
If Ben and Johnny work together to paint a single coat of the fence, then let t represent the amount of time they each spend painting. What operation should be used to set up an equation that represents how long they would take to paint a single coat of the fence?
Solve the equation for t. How long will it take Ben and Johnny to paint the fence? Round your answer to the nearest tenth of a minute.
Answer:
I'm confused on what it's asking
Step-by-step explanation:
Each year, a car loses 25% of the value it had the previous year. If the value of a car is $12,500 during the first year it is owned, which function represents the value of the car after y years
Answer:
T=12500-0.25y
Step-by-step explanation:
Step one:
given data
The value of the car is $12500.
let the value of the previous year be T
let the number of years be y
25% will be 0.25----this is equivalent to the gradient
The expression for the change in price can be represented linearly using the equation of a straight line,
y=mx+c
but since the price is reducing the expression becomes
y=-mx+c
Now, in this situation the expression for the cost after y years is
T=-(0.25y)+12500
rearrange
T=12500-0.25y
The expression is T=12500-0.25y
PLEASE HELP ME
Write the equation from each line
Answer:
1) y = 2x - 2
2) y = - x - 1
3) y = 2/3 x + 1
4) y = 4x - 4
5) y = 3x + 6
6) y = -3x -3
7) y = 3 - x
8) y = 4 - 4x
use the function below to find f(-2).
f(x)=3^x
hi
f(x) = 3^(x) so (f-2) = 3^(-2) = 1/ 3² = 1/9
Answer: 1/9
Step-by-step explanation:
Can you help me? Thanks!
Answer:
the answer is here
Step-by-step explanation:
180- 68
=112
Evaluate 8(6+5)/2²+6(2)
Answer:
34
Step-by-step explanation:
1. Add 6 and 5 and that multiplies with 8 which would be 88
2. Then divide by 4, leaving you with 22.
3. Add that with 6(2), 12, and that gives you 34
guys please help!!!! i NEED to get these right to pass!!!! I WILL GIVE THE BRAINLIEST!!!!
Answer:
Answer in order, 12,14, (4,3), x2, 4, 12, 3
Step-by-step explanation:
PLEASE MARK BRAINLIEST
5
2
+(12−7+x) if x=6
Answer:
the answer will be 6 or 10
The IQ scores of the middle 50% of a population can be written as the one above
Where x is a person’s IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
Answer:
90≤x≤110
Step-by-step explanation:
Given two inequality |x-100/15|≤2/3
The modulus value can be negative or positive
For the postive value. x-100/15≤2/3
Cross multiply
3(x-100) ≤30
3x-300≤30
3x≤330
x≤110
For the negative value;
-(x-100)/15≤2/3
100-x/15≤2/3
3(100-x) ≤30
300-3x≤30
-3x≤-270
x≥90
90≤x
Combining both inequalities.
90≤x≤110
Calculate the are of fabric that will be used?
Answer:
1582,6 cm²
Step-by-step explanation:
⬆ There I wrote for 1 fan, so for two fans
We first find the perimeter of the circle. Then find the center angle by comparing the perimeter of the section. Then use logic to reduce the area of large circles by the area of small circles
Sorry, I am Indonesian I use a translator, hope it helps
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DETAIL ANSWERSSUBJECT : MATHEMATICS
CLASS : JHS
CODE : 2
CODE CATEGORY : 8.2
#ComeOnLearning
use the multiplier method to increase £258 by 43
Answer:
The new value after an increase
of £258 by 43 will be: 368.94
Step-by-step explanation:
As we have to increase £258 by 43 using the multiplier method.
Let 'n' represent the new value after the increase of £258 by 43 using the multiplier method.
Using the formula
n = 258 + percentage increase
[tex]=258+\left(43\%\:258\right)[/tex]
[tex]=258\:+\:43\%\:\times 258[/tex]
Factoring out 258
[tex]=\left(1\:+\:43\%\right)\:\times \:258[/tex]
as 1 = 100 / 100 = 100%
so
[tex]=\left(100\%\:+\:43\%\right)\:\times \:258[/tex]
[tex]=143\%\:\times \:258[/tex]
[tex]=\frac{143}{100}\times 258[/tex]
[tex]=\:\frac{143\times 258\:\:}{100}[/tex]
[tex]=\:\frac{36,894\:\:}{100}[/tex]
[tex]=368.94[/tex]
Therefore, the new value after an increase
of £258 by 43 will be: 368.94
Your school band is performing a concert. Tickets cost $3 for students and $5 for adults. A total of 125 people attended the concert for a total ticket sales of $475. Write and solve a system of equations to find the number of students and adults that attended the concert. Make sure to write your answer in a complete sentence.
Given :
Tickets cost $3 for students and $5 for adults.
A total of 125 people attended the concert for a total ticket sales of $475.
To Find :
The number of students and adults that attended the concert.
Solution :
Let, number of students and adults that attended the concert is x and y.
Mathematical equation of given conditions :
x + y = 125 ....1)
3x + 5y = 425 ....2)
Putting value of x from 1 to equation 2 is :
3( 125 - y ) + 5y = 425
375 - 3y + 5y = 425
2y = 50
y = 25
x = 125 - 25
x = 100
Therefore, number of students and adults that attended the concert is 100 ans 25 respectively.
Hence, this is the required solution.
What is the value of the expression shown below (3/5)^2+4×3-2 PLZ HELP THIS ASSIGNMENT IS DUE IN 10 MINUTES
Answer:
[tex]10\frac{9}{25}[/tex]
Step-by-step explanation:
Answer:
10 9/25
Step-by-step explanation:
i did mathsss i hope this does help tho
Find the area of a square with side length x when x is equal to the given value.
Are the area of a square and the length of its side directly proportional? Justify
your answer.
x = 10 in.
Answer:100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
Because you multiply 10 * 10. Which equals 100. And they are not directly proportional quantities.
Can someone graph this
Answer:
Here its graphed for u!!
Step-by-step explanation:
(this is english but more people are on math i think) what are two ways to introduce textual evidence??
[tex]I\;would\;say\;one\;way\;do\;it\;is\;like\;this...\\\\"He's\;not\;very\;brave\;after\;all"\;\;(Page\;12)\\\\Another\;way\;to\;do\;it\;is\;like\;this...\\\\According\;to\;the\;authour\;the\;man\;couldn't\;face\;his\;fear\;of\;heights. \;\;(Pg\;13)[/tex]
Luke called a repairman to fix the furnace at his cabin. The repairman charged $35 per hour plus a fee of $25 for the service call, as represented by the expression in the box.
(THE EXPRESSION IN THE BOX IS "35x + 25")
In the expression, what is represented by the variable x?
A) the number of hours it took the repairman to fix the furnace.
B) the distance in miles from the repairman's shop to Luke's cabin.
C) the number of service calls made by the repairman to Luke's cabin.
D) the total amount in dollars that Luke paid to have the furnace repaired.
(I need the answer ASAP)
Answer:
The answer is A.
Step-by-step explanation:
To find the value you have to know how many hours the repairman took to repair. Then after you find how many hours he took multiply the hours by 35 than add 25.
So the equation would look like 35x hr+25 =
hr=hours
If 8 is an element in the domain of f(x)=
8x−18
5, what is the corresponding element in the range?
In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
send the answer from 18 to 23 with process in copy
19. Perimeter of rectangle = 2(l + b)
l = 25m
b = 16m
Perimeter of rectangular park = 2 (25 + 16)
= 50 + 32
= 82m
Perimeter of square park = 82m
(given that, perimeter of rectangular and square park are equal)
Perimeter of square = 4a
4a = 82
a = 82/4
a = 20.5m
Area of square park = a²
= 20.5²
= 420.25m²
20. Perimeter of regular hexagon = 6a
a = 2.5
6a = 6 × 2.5
= 15cm
21. Perimeter of regular decagon = 10a
a = 8
10a = 10 × 8
= 80cm
What is the x- coordinate of the point (6,8)?
A. 6
B. 8
C. -6
D. -8
Answer:
A
Step-by-step explanation:
The coordinate is in the form (x,y) so the x-coordinate would be 6
The Cuevas family spends $48.73 on dinner Saturday night they leave a 18% tip. What is the tip amount they leave
Answer:
8.7714
Step-by-step explanation:
Answer the questions. All help needed.
1. Multiply all the x and y by 2
M (-6,4)
A (-4,6)
T (-2,4)
H (-4,2)
2. They stayed in the same quadrants. The x and y values shifted.
3. Scale factor of 1/2
4. .....mayhaps?
Given: F=(0,1),(2,4),(4,6),(6,8) and g=(2,5),(4,7),(5,8),(6,9),(7,5) (fxg)(2)
Answer:
(F-G)(x) = -1
Step-by-step explanation:
The notation (F - G)(x) means to subtract each function when x = 6. According to the sets when x = 6 then F is (6,8) and G is (6,9). To subtract the functions, subtract their output values. (F-G)(x) = 8 - 9 = -1.
Step-by-step explanation:
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[tex]f \times g = (2 \: , \:4 \times 5) \: , \: (4 \: , \: 6 \times 7) \: , \: (6 \: , \: 8 \times 9) \\ [/tex]
[tex]f \times g = (2 \: , \: 20) \: , \: (4 \: , \: 42) \: , \: (6 \: , \: 72) \\ [/tex]
_________________________________
Thus ;
[tex](f \times g)(2) = 20[/tex]
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A police car drives 230 km in 2 1/2 hours. What is its average speed in kilometers per hour?
Answer:
92 km/h
Step-by-step explanation:
kaiuzumaki2004oxopxl
Answer:
is there free point. if is plz it shows nothing