All the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.
What is polynomial?
Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The function given in the problem is,
[tex]f(x)=x^3+3x^2-x-3[/tex]
If f(1) = 0
[tex]f(1)=(1)^3+3(1)^2-(1)-3\\f(1)=1+3-1-3\\f(1)=0[/tex]
Thus, (x-1) is one of the factor of polynomial. Equate the polynomial equal to the zero, to find other roots as,'
[tex]x^3+3x^2-x-3=0\\x^2(x+3)-1(x+3)=0\\(x+3)(x^2-1)\\(x+3)(x+1)(x-1)=0[/tex]
Equate all the groups to zero to find the roots as,
[tex]x+3=0, x=-3\\x+1=0, x=-1\\x-1=0, x=1[/tex]
Hence, all the roots of the provided function If f(1) is equal to the zero are -3, -1 and 1.
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Answer: B
Step-by-step explanation:
I need help pls in order to find the square pyramid
Step-by-step explanation:
the ground level but not really sure
need help. please. 8
Step-by-step explanation:
sin²(x) + cos²(x) = 1
cos²(x) = 1 - sin²(x)
cos(x/2) = ±sqrt((1 + cos(x))/2)
in our case
sin(x) = 1/4, tan(x) > 0, so cos(x) is positive too.
sin²(x) = 1/4² = 1/16
cos²(x) = 1 - 1/16 = 15/16
cos(x) = sqrt(15)/4
cos(x/2) = sqrt((1 + sqrt(15)/4)/2) = sqrt(1/2 + sqrt(15)/8) =
= sqrt(8/16 + 2×sqrt(15)/16) =
= 1/4 × sqrt(8 + 2×sqrt(15))
so, D is correct
Can you please help me with this question
help
(in the picture)
Answer:
D) Figure M
A) Figure J
Step-by-step explanation:
There are 90 pigs in the barn and I need them into group of 10 how many group would there be. 61 points
Answer:
9 groups
10 x 9 = 90
Step-by-step explanation:
Pls, choose me as brainliest!
Answer:
9
Step-by-step explanation:
brainliest pls
I don’t understand can someone help
Answer:
200 cm^3
Step-by-step explanation:
See attached image.
What is the slope of a line perpendicular to the line whose equation is 9x-3y=81.
Answer:
If a line has slope =m
then the slope of a line perpendicular to it is
(
−
1
m
)
Rewrite
5
x
+
3
y
=
8
in a slope-offset format
y
=
−
5
3
x
+
8
3
So the given equation has a slope of
(
−
5
3
)
and a line perpendicular to it has a slope of
(
3
5
)
Step-by-step explanation:
what statement is true? (Please help‼️)
Answer:
The statement that is accurate is A and pls 5 stars and brainliest
Step-by-step explanation:
help asap brainlist?!??
Answer:
(2, 3 )
Step-by-step explanation:
5x - 4y = - 2 → (1)
2x + 4y = 16 → (2)
add (1) and (2) term by term to eliminate y
7x + 0 = 14
7x = 14 ( divide both sides by 7 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (2)
2(2) + 4y = 16
4 + 4y = 16 ( subtract 4 from both sides )
4y = 12 ( divide both sides by 4 )
y = 3
solution is (2, 3 )
Answer:
( 2 , 3 )
Step-by-step explanation:
5x - 4y = - 2 ⇒ ( 1 )
2x + 4y = 16 ⇒ ( 2 )
( 1 ) + ( 2 )
5x - 4y + 2x + 4y = -2 + 16
7x = 14
Divide both sides by 7.
x = 2
Now let us take equation (1) to find the value of y.
5x - 4y = - 2
5 × 2 - 4y = -2
10 - 4y = -2
-4y = - 2 - 10
-4y = - 12
Divide both sides by ( -4 )
y = 3
Therefore,( x , y ) ⇒ ( 2 , 3 )Find the value of x.
Answer:
x ≈ 28°
Step-by-step explanation:
We know the hypotenuse (the longest side) and the opposite (the side opposite x) so we can use SOH:
sine x = opposite ÷ hypotenuse
Substitute in the values:
sin x = 7 ÷ 15
sin x = 0.4666...
Now we can do the inverse of sine to find x:
x = [tex]sin^{-1}[/tex](0.466..)
x = 27.818138... ≈ 28°
Hope this helps!
Determine the Eccentricity of the Hyperbola
Answer:
The eccentricity of a hyperbola is calculated using the length of the transverse axis and the length of the conjugate axis.
Step-by-step explanation:
hope it helps!!!
Answer:
The eccentricity of a hyperbola is calculated using the length of the transverse axis and the length of the conjugate axis.
Step-by-step explanation:
Brainleist
what quadrilateral is this
Answer:
parallelogram
Step-by-step explanation:
it has 2 parallel sides
The graph of a function f is shown below find f(3) (please help!)
Answer:
f(3)=1
Step-by-step explanation:
Basically, you go 3 units right on the x-axis starting from the origin (0,0), and go up until you touch the graph of the function. In this case, f(3)=1
y=2x+1 when x increases by 5,y increases by
Answer:
10
Step-by-step explanation:
say x=0
then y would be 1
increasing x by 5 makes x=5
and then 5 x 2 + 1=11
so y went from 1-11(difference of 10) with the variation
so the answer is 10
How do you add numbers like 1 and 2. Ez pts
Answer:
On a number line think "I'm at number 1 and if I move myself up another line, and then another, I have just added 2, and gotten myself to 3" Answer is 1+2=3. THANK YOU FOR THESE EZ POINTS!
Step-by-step explanation:
Hurry please!
What is the slope of a line parallel to the line whose equation is
5x – 3y = 18.
Fully simplify your answer.
Answer:
5/3, or 1.(6)
Step-by-step explanation:
find slope-intercept form
5x-3y=18
5x=3y+18
3y=5x-18
y=5/3x-6
slope is 5/3, or 1.(6)
The slope is 5/3 or 1.6.
What is a slope?It is the measure of the steepness of a line.
Given that
5x-3y = 18
Rearrange the equation
i.e. 5x-18 = 3y
y = (5/3)x - 6
The general form of the slope-intercept equation is
y = mx+c
By comparing the two equation, we get slope as
Slope of the line,m = 5/3 = 1.6
Hence, the slope of the given line is 1.6.
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please help this is due tomorrow
Answer:
=
Step-by-step explanation:
3 feet = 1 yard, so knowing this, if you divide 12 feet by 3, you get 4
Another way you could check this is if you multiply the 4 yards by 3 feet per yard. You would get 12 feet.
Either way you do it, they are equal
Answer:
=
Step-by-step explanation:
I am going to assume that this question is asking us to compare the two measures of distance.
To do this, we need to convert them into the same unit. I am going to convert 4 yards into feet and leave 12 ft as 12 feet.
4 yards * 3 feet in a yard = 12 feet
Using the reflexive property, 12 feet is equal to 12 feet, so '=' completes this question.
(Pls Need Help with 2 questions ASAP)
Answer:
first answer is y = 2x + 2
second answer is y = 1/4x + 6
Step-by-step explanation:
sooo to find the slope you can just count it but i feel like using the equation
y2 - y1 / x2 - x1
is better
so lets substitute
6 - (-6) / 2 - (-4)
6 + 6 / 2 + 4
12 / 6
y = 2x + b
to find b we substitute a point we did not use yet (-2, -2)
-2 = 2(-2) + b
-2 = -4 + b
b = 2
y = 2x + 2
second question:
we do the same thing
(-4, 5) (8, 8)
8 - 5 / 8 - (-4)
3 / 12
1/ 4
y = 1/4x + b
since the graph shows the y intercept (0, 6) we can input it into the equation
y = 1/4x + 6
i cant check it (with a point) because there are not a lot of exact points, but this should be the answer
Solve this system of equations using the substitution method.
y = 5x
3x + 16 = y
tyty
Answer:
x=8
Step-by-step explanation:
3x+16=5x
16=2x
8=x
Zoe is exactly twelve and one-half years old, and her niece Yolonda is one-third as old as Zoe. Yolanda is ? Months old
Answer:
The answer is 4.16!
Step-by-step explanation:
i think that is right
I want 5 halves of a cupcake for myself 6 halves for my friend and 1 half for our other friend
Answer:
5+6=11+1=12
Step-by-step explanation:
what is 12 halves? 6
the answer to this number problem is 78787878 x 55555855=4.37712793E15
how I did it in my head
I that good but
but i am not good a English
I need help please you will get branliest
Answer:C= 9
Step-by-step explanation:
c−7=1×2
c−7=2
c=2+7
c=9
Answer:
9
Step-by-step explanation:
C-7/2=1
cross multiplying
C-7=2×1
C-7=2
C=2+7
C=9
Chad drew a scale drawing of the middle school. The gym, which is 81 feet long in real life, is 9 inches long in the drawing. What scale did Chad use?
1 inch : what
feet
The scale that Chad used in the scale drawing is 1 inch: 9 feet
What is a ratio?A ratio is a quantitative relationship between two different numbers that express the number of times in which a number is divisible within the other number.
In real life, If the gym is 81 feet long.In the drawing, if the gym is 9 inches long.In the ratio of an inch to feet; the scale that Chad used is:
= 1 inch : 9 feet
This is because 9 inches is divisible within the other number (i.e. 81 feet) in 9 times.
Learn more about ratio here:
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Which of the following constructions can be accomplished with paper folding? Check all that apply
Answer:
B, C, and D.
Step-by-step explanation:
1. Finding the midpoint of a portion
2. Drawing an opposite line portion from an offered indicate a given fragment
3. Drawing an opposite line portion through a given point on a given section
4. Drawing a line through a given guide parallel toward a given line
Pls, choose me as brainliest!
Please help (the rest of this is filler so i can actually ask my question
Answer:
1. Scale factor - 7
Length of x - 28
2. Scale factor - 4
Length of x - 32
3. Scale factor - 3
Length of x - 9
54=6a+18b
3a-9b=-27
please add the steps
Answer:
....
....
....
...
.....
.....
Answer and explain? I've been getting a lot of these questions wrong lately lol.
Answer:
the answer is 31!
Step-by-step explanation:
So if you do 12 x 3 that is 36 and 36-5 is 31
so then you see if it works
31 +5 = 36
36/3 = 12
Answer:
number: 31
Let the number be x
This number is added by 5, so: x + 5
Then we divide it total by 3, so: (x + 5)/3
And this equals to 12, (x + 5)/3 = 12
Solve for unknown number:
(x + 5)/3 = 12
x + 5 = 36
x = 36 - 5
x = 31
The marked price of an article is 25% above its selling price and the cost price is 30% less than its marked price. Find the discount percent and profit percent.
Answer:
Discount=20%
Profit=14.20%
Step-by-step explanation:
If the volume of 1 block is 1 cubic unit, find the total volume of the given figure.
Answer:
16 cubic units
Step-by-step explanation:
Volume of 1 block = 1 cubic unit
No. of blocks = 16
Total volume = 1 x 16
= 16 cubic units
The total volume of the figure is 16 cubic units if the volume of 1 block is 1 cubic unit.
What is a cube?
It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have:
1 block = 1 cubic unit
Total number of blocks = 16
Total volume of the figure = 1×16 = 16 cubic units
Thus, the total volume of the figure is 16 cubic units if the volume of 1 block is 1 cubic unit.
Learn more about the cube here:
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