The cubic polynomial in standard form with zeros 5, 3, and –4 is `x³ - 4x² - 17x + 60`.
The cubic polynomial in standard form with zeros 5, 3, and –4 is obtained by multiplying the three factors: (x - 5), (x - 3) and (x + 4) and then simplifying it to standard form. Here's how:Given zeros: 5, 3, -4Using zero product property: (x - 5)(x - 3)(x + 4) = 0Multiplying the three factors using distributive property:x(x - 3)(x + 4) - 5(x - 3)(x + 4) = 0x(x² + x - 12) - 5(x² + x - 12) = 0Expanding: x³ + x² - 12x - 5x² - 5x + 60 = 0Combining like terms:x³ - 4x² - 17x + 60 = 0The cubic polynomial in standard form with zeros 5, 3, and –4 is `x³ - 4x² - 17x + 60`. The standard form of a cubic polynomial is ax³ + bx² + cx + d where a, b, c, d are constants.
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The perimeter of a square is represented by the expression 32x-12. . Write two equivalent expressions for the perimeter and explain how to find the length of one side. x=3
Answer:
P = 2(l+w) ----------(1)
P = 4l----------- (2)
P= 32x- 12
4l = 32x- 12
l = 8x- 3
One side will be equal to 21 units and the perimeter will be 84 units when x=3.
Step-by-step explanation:
The perimeter is given by the formula
P = 2(l+w) ----------(1)
where p= perimeter , l= length and w= width.
But a square has the length equal to the width so w= l and the formula becomes
P = 2( l+l)
P = 2 (2l)
P = 4l----------- (2)
The perimeter of the square is
P= 32x- 12
or
4l = 32x- 12
dividing the whole equation by 4 we get
l = 8x- 3
So the length of one side can be obtained by dividing the perimeter by 4.
If x= 3
then
l= 8(3)-3
l= 24- 3
l = 21
One side will be equal to 21 units and the perimeter will be 84 units.
P = 4l = 4(21)= 84
Is y=9 a horizontal line or vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
y = 9 is a horizontal line :)
Step-by-step explanation:
y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .
Ram is running a bakery. He has made a street sign to direct people to his bakery. He painted one side of the post and sign. What is the painted area? 10 in 10 in 6 in 45 in 5 in
A. 225 square inches
B. 355 square inches
C. 385 square inches
D. 275 square inches
Answer:
355 square inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
b=355
Identify the property demonstrated by the equation. x + (3 + 5 ) = (x + 3 ) + 5
Which equation does the model below represent? pls help !
Answer:
the answer to this is d
Step-by-step explanation:
x-3=5
Solve the equation, and choose the type of solution you
found.
2x + 8 = 2(x + 4)
Answer:
All real numbers are solutions
Step-by-step explanation:
2x + 8 = 2(x + 4)
~Simplify right side
2x + 8 = 2x + 8
~Subtract 8 to both sides
2x = 2x
~Divide 2 to both sides
0 = 0
Best of Luck!
Answer: the answer is infinite
Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers
A circular cylinder has a curved surface area 1320cm square and the radius of its base is 10.5cm find the height and volume of cylinder.
Answer:
h=9.51
v=3293.89
Step-by-step explanation:
hope it helps :)
Answer:
h = 9.51
v = 3293.89
Step-by-step explanation:
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a right circular cylinder with a radius of 2.3cm and a height of 1.4cm has a total surface area of
Answer:
i think 6.44
Step-by-step explanation:
first the diameter is 4.6 then multiply the 4.6 with 1.4 and u obtaine 6.44 (note:iam not sure iam still in seven grade)
PLEASE PLEASE HELP ME!!!
Answer:
majadoxkdkdkrjjdkaoxjxjdhuriqwlsnxbxjdiirkekrnrnrjhfuxueiejhrhdUsing suitable identity find 5.62
− 0.32
Answer:
5.62 - 0.32= 5.3 or 5.30
Step-by-step explanation:
How many fluid ounces are in 1 quart
what is the mean of the data set? 16, 24, 26, 13
Answer:
20
Step-by-step explanation:
17+24+26+13=80
80/4=20
What is the main idea of this text
Atkins agreed to testify against Manson in exchange for avoiding the death penalty. Her grand jury testimony led to Manson being arraigned for the murders on Dec. 11, 1969. Atkins later recanted her testimony, and her deal was revoked by the prosecutors [source: Steffens and Staples]. Linda Kasabian, who hadn't entered any of the houses or committed any murders, was granted immunity and testified for the prosecution during the trial.
Answer:
the answer is Atkins agreeing to testify against Manson in exchange for avoiding the death penalty
Eqiuvalent expressions
5(x)(x)(x)(x)
Answer:
5x^4
Step-by-step explanation:
What is 3 - 15/7? I am having trouble with that problem! Thank you for whoever helps.
Answer:
About -1.7142
Step-by-step explanation:
-
what is 69% of 69 what is 69% of 69
Answer:
69% of 69 is 47.61 :)
find the tangents of the acute angle in the right triangle. write each answer as a fraction
Answer:
[tex]tanD=\frac{7}{24}[/tex]
[tex]tanF=\frac{24}{7}[/tex]
Step-by-step explanation:
We are given that
ED=24units
EF=7units
FD=25 units
We have to find the tangents of the acute angle in the right triangle
We know that
tangent=[tex]\frac{Perpendicular\;side}{Base}[/tex]
Using the formula
[tex]tanD=\frac{EF}{ED}[/tex]
[tex]tanD=\frac{7}{24}[/tex]
[tex]tanF=\frac{ED}{EF}[/tex]
[tex]tanF=\frac{24}{7}[/tex]
Jazzy goes to bed 3 h after dinner.
Yesterday, she spent 1 1/2 h on her homework and 2/3 h on the telephone after dinner.
How much time does she have before bed time?
PLEASE SHOW YOUR WORK!!!
Answer:
It was easy
Step-by-step explanation:
11 x 2 = 22
3 x 2 = 6
22 x 6 = 132
The time Jazzy has before going to bed is [tex]\frac{5}{6}[/tex] hour
The first step to take in determining the answer is to add the hours she spent on various activities she did after dinner
Sum of activities done after dinner = hours spent on homework + hours spent on the telephone
[tex]1\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex]
[tex]1\frac{3 + 4}{6}[/tex]
= [tex]1\frac{7}{6}[/tex]
=[tex]2\frac{1}{6}[/tex] hours
Th second step is to subtract the total hours Jazzy spent on activities from the hours Jazzy has before going to bed after dinner
Time left before she goes to bed = time she has to go to bed after dinner - total hours spent before going to bed
3 - [tex]2\frac{1}{6}[/tex] hours = [tex]\frac{5}{6}[/tex] hour
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The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Boise, Idaho, and Reno, Nevada, is 430 miles. Express the distance in kilometers.
A.
431.6 km
B.
268.8 km
C.
688 km
Answer: C) 688 km
=================================================
Work Shown:
k = 1.6d
k = 1.6*430
k = 688
430 miles is roughly equivalent to 688 km.
More accurately, 430 miles = 692.01792 km, so this approximation isn't too far off.
Answer: the answer is C. 688 km
RESULT
The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.
Step-by-step explanation:
The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. Express each distance in kilometers. the 430 miles between Boise, Idaho, and Reno, Nevada
k = 1.6 d
Where k is in kilometers n d in miles
The distance between Boise, Idaho and Reno, Nevada is 430
Substituting d= 430 we get,
k = 1.6(430)
k = 688
RESULT
The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.
x2 = 36 solve for x please answer
Step-by-step explanation:
Given
x² = 36
x² =( +6)²
x = +6
Hope it will help :)
Answer:
x= 18
Step-by-step explanation:
Divide both sides by 2
2 and 2 cancel out
36/2=18
check that it fits
2 x 18=36
18 is correct
Hope this helps ^-^
Use the Distributive Property to rewrite the algebraic expression. 5(2x + 7)
wrong answers reported, correct answers get 5 stars
Answer:
10x + 35
Step-by-step explanation:
In distributive property, you have to distribute that 5 to both the 2x and the 7, so then it would look like this:
5(2x) + 7(5)
Then we just further simplify and get:
10x + 35.
Hope this helped, let me know if you have any questions
Suppose the radius of a circle is three units what is the circumference
Answer:
[tex]6\pi[/tex] or [tex]18.84[/tex] units
Step-by-step explanation:
The circumference of a circle can be found using the formula [tex]C=2\pi r[/tex], where [tex]C[/tex] is the circle's circumference and [tex]r[/tex] is the circle's radius. We know that [tex]r=3[/tex] and that we are solving for [tex]C[/tex]. Therefore:
[tex]C=2\pi r\\C=2*\pi *3\\C=6\pi[/tex]
Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], [tex]6\pi =6*3.14=18.84[/tex] units. Hope this helps!
The Flightless Folly ship has 20 pirates aboard. 12 of those pirates wear an eye patch. What percentage of pirates wear an eye patch on the Flightless Folly?
Write an equation and solve: At Trader Joes, Mrs.
Jacobs buys bananas for $0.65 per pound and a
frozen pizza for $4.99. The total for her purchase
was $6.94. How many pounds of bananas did
Mrs. Jacobs buy?
Which of the following could be the side measures of a right triangle? *
1)6 ft, 5 ft, 4 ft
2)8 ft, 7 ft, 6 ft
3)10 ft, 8 ft, 6 ft
4)12 ft, 10 ft, 8 ft
Answer:
option 1
Step-by-step explanation:
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The set of side lengths that could represent a right triangle is
12 ft, 10 ft, and 8 ft.
Option D is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).
Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:
6 ft, 5 ft, 4 ft
6² + 5² = 36 + 25 = 61
4² = 16
Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.
8 ft, 7 ft, 6 ft
8^2 + 7^2 = 64 + 49 = 113
6^2 = 36
Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.
10 ft, 8 ft, 6 ft
10^2 + 8^2 = 100 + 64 = 164
6^2 = 36
Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.
12 ft, 10 ft, 8 ft
12^2 + 10^2 = 144 + 100 = 244
8^2 = 64
Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.
Therefore,
The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.
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I NEED HELP WITH THISSSSSSSS!!!!!!
Answer:
The answers should be:
LRS = 137.5
NRS = 42.5
QRN = 137.5
MNR = 42.5
RNP = 137.5
KNP = 42.5
MNK = 137.5
Step-by-step explanation:
180 - 42.5 = 137.5
Answer:
ok this is going to be kinda confusing but here:
angle lrs: 137.5
angle nrs:42.5
angle nrq:137.5
angle knp:42.5
angle rnm: 42.5
angle mnk: 137.5
angle pnr: 137.5
Step-by-step explanation:
basically everything is either 137.5 or 42.5
Which point has the coordinates (2, 3)?
у
5
4
B.
С
3
2
D
A
1
0
1
2
з
4
х
5
ОА
ОС
OD
ОВ
Answer:
Point B
Step-by-step explanation:
The first number in the brackets is X while the second is Y (x, y).
X is the bottom line, while Y is the line going up.
Find 2 on the bottom line and 3 on the upright line. This gives us B.
I am sorry for the poor explanation.
what is the circumfrence of this circle? pi=3.14 formulas: C = (pi) * d (or) c=2*(pi) * r
Answer:
75.36 cm
Step-by-step explanation:
Given.
radius (r) = 12 cm
Circumference (C)
= 2*π*r
= 2 * 3.14 * 12
= 75.36 cm
Hope it will help :)
Find the area of the parallelogram. Round to the nearest hundredth if necessary.
Answer:
1424.81 square meters
Step-by-step explanation:
20.21 m * 70.5m = 1424.805 square meters
So then you round it to the nearest hundredth so then..
1424.81 square meters
Step-by-step explanation:
A of a parallelogram = Base ×height
= 20.21×70.5= 1424.805m
nearest hundreth = 1424.81 m
Please I’m desperate and tell me how you did it
Given:
Triangle EFG is similar to triangle HIJ.
To find:
The measure of side IJ.
Solution:
We know that, corresponding sides of similar triangles are proportional.
Triangle EFG is similar to triangle HIJ.
[tex]\dfrac{EF}{HI}=\dfrac{FG}{IJ}[/tex]
Putting the given values, we get
[tex]\dfrac{7}{32}=\dfrac{4}{IJ}[/tex]
[tex]7\times IJ=4\times 32[/tex]
[tex]IJ=\dfrac{128}{7}[/tex]
[tex]IJ=18.2857[/tex]
[tex]IJ\approx =18.3[/tex]
Therefore, the measure of side IJ is 18.3 units.