Answers
Solution,
Given; x^3-7x^2-x+7=0
Using factor theorem,
we have,
i)x^3-7x^2-x+7=0
let's check whether 1 is the factor of given equation or not by replacing the value of x by one..
or, 1^3-7.1^2-1+7=0
or, 1-7-1+7=0(.°. Cancellation of +1&-1 and +7&-7 in equation)
.°.0=0
which proves that 1 is one of the factor of x
therefore(x-1) is a factor of x^3-7x^2-x+7=0.
Now,
Expanding the x^3-7x^2-x+7=0 to get (x-1) as a factor...
ii)x^3-7x^2-x+7=0
or,x^3-x^2-6x^2+6x-7x+7
or,x^2(x-1) - 6x(x-1) - 7(x-1) = 0
or,(x-1) (x^2-6x-7)w = 0
or,,(x-1) (x^2-(7-1)x-7) =0
or,,(x-1) (x^2-7x + x -7) =0
or,(x-1) [x(x-7)+1(x-7)] = 0
or,(x-1) (x+1) (x-7) = 0
Either,
i) x - 1=0
.°.x = 1
And,
ii)x + 1 = 0
.°. x = -1
Or,
iii) x - 7 = 0
.°.x =7
Hence, the required value of x are -1 ,+1 & 7.
Related Questions
3x³-3x² solve.with solution (CMF)
Answers
Answer:
[tex]3x^2(x-1)[/tex]
Step-by-step explanation:
Not sure what you mean by "solve" as this is an expression, anyhow..
Our common monomial factor is [tex]3x^{2}[/tex]
By factoring out this monomial, we get [tex](x-1)[/tex]
To prove this is the answer, we can do [tex]3x^2(x-1)[/tex] and see that they multiply to the original expression.
caroline walks 9 1/2 inches per second
Answers
Answer:
What s your question?
Step-by-step explanation:
What is the distance between points D and F?
A. 5.4
B. 4.2
C. 3.7
D. 2.6
Answers
Answer:
ans is A.............
The required distance between points D and F is 5.4 units.
Coordinate, is represented as the values on the x-axis and y-axis of the graph
Here,
The coordinate of point D is (2, 0) and the coordinate of point F is (-3, -2).
The distance between points D and F can be evaluated by the distance formula,
[tex]DF = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Substitute the value in the above equation,
[tex]DF = \sqrt{(2 + 3)^2 + (0 + 2)^2}\\ DF = \sqrt{25 + 4}\\ DF = \sqrt{29}\\ DF = 5.4[/tex]
Thus, the required distance between points D and F is 5.4 units.
Learn more about coordinate here:
brainly.com/question/13498438
#SPJ2
I need help with this! :) 1-5(-7x+5)<-5x+5-4
Answers
Solution: x<5/8
decimal:x<0.625
interval notation:-∞,5/8
Step-by-step explanation:
add/subtract the numbers : 5-4=1
expand 1-5(7x+5):35x-24
add 24 to both sides
35-24+24<-5x+1+24
simplify
35x<-5x+25
add 5x to both sides
35x+5x <-5x+25x+5x
simplify
40x/40 <25/40
simplify
x<5/8
Melinda made a scale model of an airplane. In the scale model, the length of the wingspan is 8 inches. The length of the wingspan of the actual airplane is 56 feet in length. Which scale did melinda usr to create the scale model of the airplane?
Answers
Answer: 1 inch =7 feet
Step-by-step explanation:
Scale factor = [tex]\dfrac{Image \ size}{original \ size}[/tex]
The length of the wingspan in model is 8 inches.
The length of the wingspan of the actual airplane is 56 feet in length.
Scale factor = [tex]\dfrac{56}{8}=7\text{ feet per inch}[/tex]
i.e. 1 inch of model gives 7 actual feet.
Required Scale: 1 inch=7 feet
how do i find area of circle
Answers
area of a circle is A=pir^2
so you use r as the radius of the circle of half the diameter
area = pi (3.14) (radius) (squared)
Please help it is due in less than an hour and it is my last day to do it before the end of the quarter,
What is x?
Answers
f(x) = 1/2(x) + 1
Find the Inverse
Answers
Answer:
Step-by-step explanation:
Ok
Step-by-step explanation:
when trying to find the inverse of a function just replace x with y and try to make the y the subject of the formula.
x = 1/2(y) + 1
x+1 = 1/2 (y)
2(x+1) = y
The art room at a school is made up of 3 sections which are a pottery section a painting section and a sculpture section. Art work will be on display for an art show in all sections of the art room except the sculpture section, how much space is available for the art section ?
Answers
Answer:
2/3 or 66.6%
Step-by-step explanation:
Based on the information provided we see that there are a total of 3 sections that make up the entirety of the art room. Since the artwork will only be displayed on 2 sections out of the 3 that are available then there is 2/3 of the total amount of space available for the art section. In other words, only 66.6% of the art room is available for the art to be displayed on, while 33.3% is currently occupied and unavailable.
-8x+6+9x=-17+x
PLEASE ANSWER IT ILL GIVE U POINTS
Answers
Find the value of the variable.
X=
Answers
Answer:
X=15
Step-by-step explanation:
Since the angles labeled are vertical, they are congruent. Set them equal to each other and then solve for x.
5-4x=6+2x I need help right now SOMEBODY ANSWER STEP BY STEP PLZ HELP
Answers
Answer:
-1/6
Step-by-step explanation:
5-4x=6+2x
Add 4x to each side
5-4x+4x=6+2x+4x
5 = 6+6x
Subtract 6x from each side
5-6 = 6+6x-6
-1 = 6x
Divide by 6
-1/6 = 6x/6
-1/6 =x
Answer:
x = -1/6
Step-by-step explanation:
Five less than three times the length, L
Answers
Answer:
l3-5 Is how you should write this.
Which of the following lines is perpendicular to the equation given below?
y=−2x+8
A. 2x−y=12
B.x−2y=6x
C.x+2y=8x
D.2x+y=4
Answers
Answer:
B. x−2y=6Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
The given line is
y = -2x + 8Perpendicular line to this must have a slope of
- 1/(-2) = 1/2Option A
2x - y = 12y = 2x - 12Slope is 2NoOption B
x - 2y = 62y = x - 6y = 1/2x - 3Slope is 1/2YesOption C
x + 2y = 82y = - x + 8y = -1/2x + 4Slope is -1/2NoOption D
2x + y = 4y = -2x + 4Slope is -2NoAnswer:
B. x−2y=6
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
The given line is
y = -2x + 8
Perpendicular line to this must have a slope of
- 1/(-2) = 1/2
Option A
2x - y = 12
y = 2x - 12
Slope is 2
No
Option B
x - 2y = 6
2y = x - 6
y = 1/2x - 3
Slope is 1/2
Yes
Option (C) is correct
x + 2y = 8
2y = - x + 8
y = -1/2x + 4
Slope is -1/2
No
Option D
2x + y = 4
y = -2x + 4
Slope is -2
No
Plsss help!!!!Need this ASAP!!!
Haley's recipe calls for 5.5 cups of an ingredient. Her measuring bowl only has
measurements marked in liters. Haley knows that one cup is approximately
240
milliliters. Which measurement is closest to the number of liters of the ingredient
that Haley needs for her recipe?
F 0.04 liters
G 1.3 liters
H 2.3 liters
J 0.2 liters
Answers
Answer:
G 1.3 liters
Step-by-step explanation:
5.5 * 240 = 1,320
1,000 milliliters in a liter
1,320/1000 = 1.3
Answer:
g 1.3
Step-by-step explanation:
Please this is urgent!!!!
Answers
Answer:
its (-1, 1)
Step-by-step explanation:
use the graph and find point A. Find its coordinates and you should get (-1, 1)
Answer:
A'(-1, 1)
Step-by-step explanation:
A(-3, 2) → A'(-1, 1)
What is 7% of 300000000 and how do you work it out?
Answers
Answer:
21,000,000
Step-by-step explanation:
Divide 7 into 300000000
If you could subscribe to my friend penny_pg3d on yt that would be great
Answer:
1. 21000000
2. 4285714286
Step-by-step explanation:
At first I divided it by 7% then I multiplied.
Have a good day!
the school cafeteria is offering a choice of two side dishes at lunch today either watermelon or french fries the ratio of the number of orders of french fries to the total number of side dishes ordered is 9:14
A: there are 9 orders of french fries for every 14 orders of watermelon
B:there are 5 orders of watermelon for every 9 orders of french fries
C: there are 14 orders of french fries for every 9 orders of watermelon
D: there are 5 orders of french fries for every 9 orders of watermelon
Answers
Answer:
B
Step-by-step explanation:
Here, we are to select the best option that defines the ratio given in the question;
From the question, we are told that the ratio of french fries to the number of side dishes ordered is 9:14
Since 9 represents the french fries, then the ratio representing water melon orders will be 14-9 = 5
Hence, the ratio of french fries orders to water melon orders will be 9:5
The correct option is thus;
There are 9 orders of french fries for every 5 orders of watermelon
Or
There are 5 orders of watermelon for every 9 orders of french fries
Give the slope of the graph and the unit rate. Express your answers as simplified fractions, if necessary.
Jorge: 4 miles every 5 hours
Jorge
18
16
14
Distance (mi)
+
12
10
Time (h)
6
10
14
16
18 20
The slope of the graph is
His unit rate is mile(s) per hour.
Answers
Answer:
Slope = ⅘
Unit rate = 0.8 mile per hour
Step-by-step explanation:
The slope of the graph is simply the constant rate of change along the line of the graph or change in y-coordinates of two points divided by change in their corresponding x-coordinate.
For the graph given, distance (miles) is the y-variable, while time (hours) is the x-variable.
Given that Jorge travels 4 miles for every 5 hours, therefore, the slope of the graph plotted can be represented as [tex] \frac{4}{5} [/tex]
The unit rate would be 4:5 = ⅘ = 0.8 mile per hour.
PLEASE HELP ME I WILL MARK YOU SOME EXTRA POINTS OR SOMETHING!!!
Answers
Answer:
AD = 11
Step-by-step explanation:
BC = 3
BD = 8
CD = 8 - 3 = 5
B is the midpoint of AC
AC = 3 x 2 = 6
AD = 6 + 5 = 11
AD = 11
Please let me know if I'm wrong :)
Answer:
AD=11
Step-by-step explanation:
She said, "he goes to school
daily
Answers
Which graph represents the inequality x > 3?
Answers
Answer:
I think the answer is C
Step-by-step explanation:
Since the > symbol doesn't have the line under it, it is a dash line, considering its not equal to. It's also suggesting that x is more than 3 so it goes to the right
Tell weather it is possible to draw a triangle with the given side lengths
a. 3 in, 4 in, 5 in.
b. 1 cm, 7cm, 8cm
c. 3ft, 5ft, 9ft
Answers
Answer:
The set of numbers 3 in, 4 in, and 5 in can form a triangle. a) is correct
Explanation:
A triangle is possible to be drawn only if the sum of the lengths of any two sides is greater than the length of the third side.
a) Is correct.
Testing all the posible combinations: 3+4>5, 4+5>3, 3+5>4. True. Hence, Option a is the correct choice,
b) Is incorrect
Since 1+7>8 is false, this choice is not correct
c) Is incorrect
Since 3+5>9 is false, this choice is not correct
Graph the solution to the system of inequalities.
Y< -3/2x +2
Y is greater than it equal too 1/2x-2
Answers
Answer:
Look at the graph
Wanda is 10 years older than Michael. Linda is 5 years older than Wanda. The sum of all their ages is 31 years. Which equation represents the sum of their ages in terms of Wanda’s age (w)?
Answers
Answer:
the equation that represent the sum of their ages in terms of w is
(5+w)+w+(w-10)=31
2.4cm and 6.5cm what is the length of this equation
Answers
Answer:
8.9 cm
Step-by-step explanation:
What is W, S, U, T, V
Answers
• 9w+9=6w+21
•3w=12
•w=4
s=45 degrees
•9(4)+9 =45
•s would then equal 45 degrees because it’s directly across from that
v=135 degrees
•this is because 180 degrees-45 degrees equals 135
t&u would be the same because of the triangle rules
Which linear equation has a slope of 3 and a y-intercept of -2
y=3x +2
y=3x - 2
y=-2x + 3
y=2x - 3
Answers
Answer:
y=3x‒2
Step-by-step explanation:
y=3x‒2 in this equation slope is 3 cause slope is the number that is a coefficient of x.
&also the y-intercept of the equation is ‒2. y=3(0)‒2
y=0‒2=‒2
cause to find y-intercept is to substite 0 instead of x &to solve
i think &i hope the answer is clear
Answer:
y=3x-2
hope this helps mark me brainlyest
two prime numbers that have a sum of 34
Answers
Answer:
example: 23 and 11
This is an example. If you add 23 and 11; it makes 34.
Hope this helps!
Cuantos divisores tiene 64
Answers
hay 7 divisores 1, 2, 4, 8, 16, 32, 64