What are the roots of the polynomial equation XP-7x= 6x-12? Use a graphing calculator and a system of equations.
-6,6
4, 1,3
0 -3,-1,4
o 1,3
Answers
Answer: option B
Step-by-step explanation:
-4, 1, 3
The roots of the polynomial equation x³ - 7x = 6x - 12 is given by the values x = -4 , 1 , 3
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
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 polynomial equation be represented as A
Now , the value of A is
x³ - 7x = 6x - 12 be equation (1)
Now , it can be represented as 2 equations of the form
A = x³ - 7x be equation (2)
And , B = 6x - 12 be equation (3)
On plotting the graphs of the two equations , we get
The point of intersection of the equations is at P ( -4 , -36 ) , Q ( 1 , -6 ) and R ( 3 , 6 )
Therefore , the x coordinates of the points are x = -4 , 1 , 3
Hence , the roots of the polynomial is x = -4 , 1 , 3
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Related Questions
y = (x + 1)(x - 2)
Distribution
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can someone help me with this?
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Answer:
The answer should be for because the triangles are SSA. and SSA is not congruent
The answer choices are -3/4, -1/2, 2/3, and 4/3.
Answers
Answer:
-3/4
Step-by-step explanation:
slope
m=y2-y1
----------
x2-x1
Use any two coordinates. I'll use (-4,5) and (4,-1)
-1-5
-----
4-(-4)
-6
----
8
simplified to
-3/4
Answer:
Slope= A: -3/4
Step-by-step explanation:
How do I do this step by step?
Answers
Answer:
1. Rectangle: l(2)+w(2)
2. Triangle: side(2)+base
3. 3, 8
(Please help asap, Thank you!)
Tides are caused by the pull of gravity by the _____ and the _____.
A. oceans
B. seas
C. sun
D. moon
Answers
Answer:
Tides are formed by the pull of gravity from both the sun and the moon so C&D would be correct
Step-by-step explanation:
What is the value of (2x)° + 1
Answers
Answer:
=2x+1
Step-by-step explanation:
I am pretty sure that is the answer
A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?
Answers
Answer:
34in. of snow = +50 snow passes
+34in. of snow = +50 snow passes
Step-by-step explanation:
PLEASE HELP ME
What is the simplified form of
the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3
Answers
X+6/3 - x+2/3= x+6-x-2/3 = 4/3.
Manuel bought 9 pounds of apples. He has eaten 1.5 pounds so far and has $15
worth of apples left. Write and solve an equation to find the cost of the apples
per pound to the nearest dollar. How much did the apples cost per pound?
please answer quick
Answers
Answer:
$2 per poundStep-by-step explanation:
Let the cost of apples be x
Then we have equation:
(9 - 1.5)x = 157.5x = 15x = 15/7.5x = 2Cost of apple: $2 per pound
m² - 5m – 14 = 0
Please help me to solve this quadratic equation.
Don't answer if you don't know.
Answers
Answer:
The answer is m=-2 or m=7.
Step-by-step explanation:
The steps to solve this equation are below:
Factor: to get (m+2)(m−7)=0.
m+2=0 or m−7=0
m=−2 or m=7. So, your answer is m=-2 or m=7.
Answer:
m = 7
m = -2
Step-by-step explanation:
ax^2 + bx + c
1m^2 - 5m - 14
a = 1
b = -5
c = -14
-b ± √b^2 - 4ac/2a
-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)
5 ± √25 + 56/2
5 ± √81/2
5 ± 9/2
5 + 9/2
14/2 = 7
5 - 9/2
-4/2 = -2
Please Help! I'm on a Timer!
Which method correctly solves the equation using the distributive property?
-0.2(x-4) = 1.7
Answers
Answer:
[tex] -0.2(x - 4) = - 1.7 [/tex]
[tex] -0.2x + 0.8 = - 1.7 [/tex]
[tex] -0.2x = - 2.5 [/tex]
[tex] x = 12.5 [/tex]
Step-by-step explanation:
Solving [tex] -0.2(x - 4) = - 1.7 [/tex] using the distributive property:
[tex] (-0.2)(x) + (-0.2)(-4) = - 1.7 [/tex]
[tex] -0.2x + 0.8 = - 1.7 [/tex]
Subtract 0.8 from both sides
[tex] -0.2x + 0.8 - 0.8 = - 1.7 - 0.8 [/tex]
[tex] -0.2x = - 2.5 [/tex]
Divide both sides by -0.2
[tex] \frac{-0.2x}{-0.2} = \frac{-2.5}{-0.2} [/tex]
[tex] x = 12.5 [/tex]
what monomial is equivalent to
(4x^5)^2
Answers
Answer:
16x^10
Step-by-step explanation:
given DE is a mid segment of triangle ABC
find the value of x and y
what is the length of AC
Answers
Answer:
Step-by-step explanation:
There are 5 less oranges on the tree today than there was yesterday
Plz help
Answers
The no. of apples on the tree today
= The no. of apples on the tree yesterday - 5
Let us take 'the no. of apples on the tree today' as 'x'
and 'the no. of apples on the tree today' as 'y'
Therefore, x = y - 5
Hope this is the thing u are looking for
What common side do DHB and DEB share?
A. DH
B. BD
C. EB
D. HB
Answers
Answer:
The common side is B-E.
Step-by-step explanation:
The only side that they have the same is B-E.
-6x-43-4
Which of these values of x does not make the inequality true?
A.-4
B. 0
C.7
D.2.5
Answers
Answer:
try b
Step-by-step explanation:
i think its b because anything with 0 is 0
HELP PLEASE!!!!!!!!!!!!!!!
Answers
Answer:
x=14
Step-by-step explanation:
5x + 210 = 140
5x = -70
x = -14
P= (x,y) is an arbitrary point on the circle x^2+y^2=36
1. Express the distance d from P to the point A= (8,0) as a function of the x-coordinate of P
2. What are the domain and range of this function d(x)?
Answers
Let (x,y) be an arbitrary point on the circle.
Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]
Since x2 + y2 = 1, y2 = 1-x2.
So, d = √[x2 - 6x + 9 + 1 - x2]
d = √(-6x+10)
Domain: x is the x-coordinate of a point on the circle centered at (0,0) with radius 1. So, -1≤x≤1.
But, for d to be defined, we need -6x+10 ≥ 0. So, x ≤ 5/3 (True for all x in [-1,1]).
Domain = [-1,1]
Range: -1 ≤ x ≤ 1 So, 6 ≥ -6x ≥ -6
16 ≥ -6x+10 ≥ 4
4 ≥ √(-6x+10) ≥ 2 That is, 2 ≤ d ≤4
Range: [2,4]
Step-by-step explanation:
Find an equation of the line through (3,5) and parallel to y = 3x -7. Write the equation using function notation
f(x)=__
Answers
Given:
Equation of line is [tex]y=3x-7[/tex].
To find:
The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get
[tex]m=3[/tex]
So, slope of given line is 3.
Slope of parallel lines are same. Thus, the slope of parallel line is also 3.
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The parallel line passes through (3,5) with slope 3. So, the equation of line is
[tex]y-5=3(x-3)[/tex]
[tex]y-5=3x-9[/tex]
Add 5 on both sides.
[tex]y=3x-9+5[/tex]
[tex]y=3x-4[/tex]
Function notation of this equation is
[tex]f(x)=3x-4[/tex]
Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].
The triangle in each pair are similar. Find the unknown measures.
Answers
Answer:
b=9ft a=32 degrees
Step-by-step explanation:
The triangles in each pair are similar meaning the angles will also be the same.
18ft is 2.25x 8ft so to get b, we multiply the side that is proportionate to it, which is side 4ft
4x2.25=9ft
b=9ft
angle a is directly across from side 4ft which is proportionate to side b.
therefore, angle A is also propertionate to the angle across from side b, 32 degrees.
help me plss ;-; ASAP :( I WILL GIVING BRAINLEIST
Answers
Step-by-step explanation:
1. E
2. D
3. G
4. H
5. F
6. C
7. B
8. J
9. A
10. I
this is the correct answer
mark me as brainleist
Convert to exponential form
Answers
Answer:
i got 27
Step-by-step explanation:
Please help me!!! I don’t get this what do ever....
Answers
Step-by-step explanation:
15÷3+10
5+10
15
=15,521÷15
=1034.73
=3015÷15-186
=201-186
=15
=20×15^2÷30
=4500÷30
=150
=2×15^2÷5-25
=450÷5-25
=90-25
=65
which of the following is a solution to
Answers
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[tex]x < - 3 \: \: \: and \: \: \: x > 4[/tex]
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Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!
Answers
Answer:
f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]
Step-by-step explanation:
Using the standard form of the exponential function
y = a [tex]b^{x}[/tex]
To find a and b , substitute ordered pairs from the graph
Using (0, 0.5 ), then
0.5 = a[tex]b^{0}[/tex] [
a = 0.5 , so
y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]
Using (1, 1) , then
1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus
b = 2
f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph
Water is being pumped into a baby pool at a constant rate. At 1:30 p.m., the water depth was 1.2 feet. It is now 4:00 p.m., and the depth of the water is 2.3 feet. What will the depth (in feet) of the water be at 5:00 p.m.?
Answers
Answer:
the dept shoudk be 3.4 because it increase by 1.1
IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range
f(x) = 2/7x - 2
i am giving brainliest to the first person that answers this and follows all the directions
Answers
Tell us the value of the variable to solve
The graph is attached btw
Answer:
Bet.
Step-by-step explanation:
A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.
Find the volume.
Answers
Mrs. Callahan gave a test. 90% of the students passed the test. If 50 students took the test, how many passed
Answers
Answer:
45 students passed the test
Step-by-step explanation:
900/100x5/1=45
Solve for x.
*2 =
= 1
A)
-10
22
B)
C)
D
4.
Answers
Answer:
1+x=b;b+x=c;c+x=d;d+x=89
Step-by-step explanation: