Answer:
A
Step-by-step explanation:
The signs do not follow the right pattern.
The first and last terms are not perfect cubes explains why the polynomial cannot be factored using the binomial theorem
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is:
125x³ + 900x² – 2,160x + 1,728
To factor this polynomial using the binomial theorem, we would need to write it in the form (a + b)³
where a and b are expressions in x.
However, the given polynomial does not seem to fit this form, since the coefficients and exponents of the terms do not follow the pattern of the binomial expansion.
The first and last terms, 125x^3 and 1,728, are perfect cubes, but they do not have a common factor that can be factored out.
Therefore, we cannot write them in the form (a + b)³.
So, the correct answer is the first and last terms are not perfect cubes.
To learn more on Polynomials click:
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Holler sold 150 frozen yogurts. Out of these frozen yogurts sold, 40% included toppings. How many frozen yogurts included toppings?
The expression (x^3)(x^−17) is equivalent to xn. What is the value of n?
Answer:
-14Step-by-step explanation:
(x^3)(x^−17) =x^(3 - 17) =x^-14n = -14n = -14
(x^3)(x^−17) =
x^(3 - 17) =
x^-14
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. X=2y-7 and 4x+y=71
Answer:
(15, 11).
Step-by-step explanation:
Given the system of equation;
X=2y-7 ..... 1
4x+y=71 ....2
Substitute 1 into2;
4(2y-7) + y = 71
8y - 28 + y = 71
9y - 28 = 71
9y = 71 + 28
9y = 99
y = 11
Substitute y = 11 into 1;
x = 2y - 7
x = 2(11)-7
x = 22-7
x = 15
hence the solution to the equation is (15, 11).
Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options
Answer:
where are the options
Step-by-step explanation:
Answer:
it cost $8, it was a swimsuit and he bought it
Step-by-step explanation:
Triangle GHJ with vertices G(-1, 3), H(4, -12), and J(3, -1) is dilated by a factor of 1/3 centered at the origin. What are the coordinates of G' after the dilation?
Answer:
The coordinates of Good after dilation will be (-1/3,1)
Step-by-step explanation:
Here, we want to get the coordinates of the point G after dilation
Mathematically, that would be having 1/3 multiply the coordinates of G
G’ = 1/3 (-1,3)
G’ = (-1/3 , 1)
1
Prove that
1: sin/1-cot + cos/1-tan=cos+sin
Answer:
have:
[tex]\frac{sin}{1-cot}+\frac{cos}{1-tan}\\\\=\frac{sin}{1-\frac{cos}{sin} }+\frac{cos}{1-\frac{sin}{cos} }\\\\=\frac{sin^{2} }{sin-cos}+\frac{cos^{2} }{cos-sin} \\\\=\frac{sin^{2} }{sin-cos}-\frac{cos^{2} }{cos-sin}\\\\=\frac{sin^{2}-cos^{2} }{sin - cos}\\\\=\frac{(sin-cos)(sin+cos)}{sin-cos}\\\\=sin+cos[/tex]
Step-by-step explanation:
Which equation represents a line which is parallel to the line 3x +y = 1?
Answer:
An equation with a slope of -3
Step-by-step explanation:
Parallel lines have their slopes equal
This means the line you should pick should have a slope of -3
In this case;
3x + y = 1 ----write it in slope-intercept form as;
y = -3x + 1 ------m , slope = -3
The equation to pick should have a slope of -3
graph the line y=1/2x+3
Answer:
to find the line you must find x and y
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}x&-6&0\\y&0&3\end{array}\right][/tex]
graph the line using slope and y intercept
slop:1/2
y-intercept:3
find the values of mx and b
[tex]m=\frac{1}{2}\\b=3[/tex]
find x intercept
[tex]0=\frac{x}{2}+3[/tex]
re wright the equasion
[tex]\frac{x}{2}+3=0[/tex]
subtract 3
[tex]\frac{x}{2} +3-3=0-3[/tex]
[tex]\frac{x}{2}=-3[/tex]
multiply by 2
[tex]*2\frac{x}{2}=-3*2[/tex]
x intercept = -6
now find y intercept
[tex]y=\frac{0}{2}+3[/tex]
divide by 2
[tex]y=0+3[/tex]
add 0 and 3
y=3
create a table of x and y [tex]\left[\begin{array}{ccc}x&-6&0\\y&0&3\end{array}\right][/tex]
graph the line using y-intercept and slope
so your answer is (-6,3)
f. How many times greater is the area of triangle DEF
than the area of triangle ABC? Show/explain.
Answer:
Area of ΔDEF is 2.25 times the area of ΔABC.
Step-by-step explanation:
Since, ΔDEF is the enlarged form of ΔABC,
Scale factor = [tex]\frac{\text{Side length of triangle ABC}}{\text{Corresponding side length of image triangle}}[/tex]
= [tex]\frac{15}{10}[/tex]
= 1.5
Since, ratio of the areas of image and preimage triangles = (Scale factor)²
[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}[/tex] = (Scale factor)²
[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}=(1.5)^2[/tex]
Area of image ΔDEF = 2.25(Area of ΔABC)
Therefore, area of ΔDEF is 2.25 times the area of ΔABC.
choose the best answer:
the area of a right triangle is 12in^2. the ratio of the length of its legs is 2:3. Find the length of the hypotenuse.
a) square root is 13 in
b) 26 inches
c) 2 square root of 13
d) 52 inches
e) 4 square root of 13
Answer:
The length of the hypotenuse is 2 square root of 13 ⇒ c
Step-by-step explanation:
The rule of the area of the right triangle is A = [tex]\frac{1}{2}[/tex] × leg1 × leg2, where
leg1 and leg2 are the sides of the right angle
∵ The area of a right triangle is 12 in²
∵ The ratio of the length of its legs is 2: 3
→ Let leg1 = 2x and leg2 = 3x
∵ leg1 = 2x and leg2 = 3x
→ Substitute them in the rule of the area above
∴ 12 = [tex]\frac{1}{2}[/tex] × 2x × 3x
∵ 2x × 3x = 6x²
∴ 12 = [tex]\frac{1}{2}[/tex] × 6x²
∴ 12 = 3x²
→ Divide both sides by 3 to find x²
∴ 4 = x²
→ Take √ for both sides
∴ x = 2
→ Substitute x in the expressions of leg1 and leg2 to find them
∴ leg1 = 2(2) = 4 inches
∴ leg2 = 3(2) = 6 inches
∵ hypotenuse = [tex]\sqrt{(leg1)^{2}+(leg2)^{2}}[/tex]
∴ hypotenuse = [tex]\sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}[/tex]
∵ The simplest form of [tex]\sqrt{52}[/tex] = 2[tex]\sqrt{13}[/tex]
∴ The length of the hypotenuse = 2[tex]\sqrt{13}[/tex] inches
FOR 10 POINTS
Find the distance between A and B
Answer:
3cm i think
Step-by-step explanation:
Hi. I need help with these questions.
See image for question.
Answer:
Step-by-step explanation:
Plug in the stated values for x
(a) 2(1)^4 + 3(1)^3 - (1)^3 + 2(1) - 3
2 + 3 - 1 + 2 - 3 = 1 + 2 = 3
f(1) = 3
(b) 2(-1)^4 + 3(-1)^3 - (-1)^2 + 2(-1) - 3
2 * 1 + 3(-1) - 1 + 2(-1) - 3
2 + -3 -1 -2 - 3 = 2 - 9 = -7
f(-1) = -7
(c) 2(0) + 3(0) - 0 + 0 - 3
0 - 3 = -3
f(0) = -3
d) 2(-1/2)^4 + 3(-1/2)^3 - 2(-1/2) - 3
1/8 - 3/8 - (-1/2)^2 - 2 * 1/2 - 3
16/4 - 1/4 - 1/4 = -16-1-1/4 = -18/4
f(-1/2) = -9/2
What is the value of x?
60"
95
A. 250
B. 350
C. 60°
D. 1550
PREVIOUS
Answer:
it's B ==35
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A because u know its not 60 bc its already there and 35 would be to big also it cant be 155 bc that is way to big for that angle
(a)
126 = 2 x 32 xk
Find the value of k.
Answer:
k=1.96875
Step-by-step explanation:
126=2x32xk
126=64xk
126/64=k
1.96875=k
To prepare for wrestling season, Tommy wants to eat 24 grams of protein at breakfast. He knows that there are 3 grams of protein in a slice of bacon and 6 grams of protein in an egg. Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat.
Write an equation that relates the number of slices of bacon to the number of eggs he will eat, assuming he eats exactly 24 grams of protein. **Rewrite your equation in slope-intercept form.
Answer:
1) The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is;
3·x + 6·y = 24
2) The equation in slope and intercept form is;
y = 4 - 0.5·x
Step-by-step explanation:
1) The given parameters are;
The amount of protein Tommy wants to eat for breakfast = 24 grams
The quantity of protein in a slice of bacon = 3 grams
The quantity of protein in an egg = 6 grams
Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat
The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is given as follows;
3·x + 6·y = 24
2) The equation in slope and intercept form is given by making y the subject of the above equation as follows;
3·x + 6·y = 24
6·y = 24 - 3·x
y = 24/6 -1/2·x
y = 4 - 0.5·x, which is in the slope and intercept form y = m·x + c
Where;
m = The slope = -0.5
c = The y-intercept = 4
What is the solution of the system? Use elimination.
2x + 2y +z = 7
-X – y +z = -5
x + 3y – 4z = 12
Answer:
The solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]2x\:+\:2y\:+z\:=\:7[/tex]
[tex]-x-\:y\:+z\:=\:-5[/tex]
[tex]x+3y-4z=12[/tex]
solving the system of the equations by the elimination method
[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]-2x-2y+2z=-10[/tex]
[tex]+[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]3z=-3[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]
[tex]2x+6y-8z=24[/tex]
[tex]-[/tex]
[tex]\underline{2x+2y+z=7}[/tex]
[tex]4y-9z=17[/tex]
[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]
Rearranging the equations
[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]
solve [tex]3z=-3[/tex] for z:
[tex]z=-1[/tex]
[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]
solve [tex]4y-9\left(-1\right)=17[/tex] for y:
[tex]4y-9\left(-1\right)=17[/tex]
[tex]4y+9=17[/tex]
[tex]4y=8[/tex]
[tex]y=2[/tex]
[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]
solve [tex]2x+2\cdot \:2-1=7[/tex] for x:
[tex]2x+2\cdot \:2-1=7[/tex]
[tex]2x+3=7[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
Therefore, the solutions to the system of the equations by the elimination method will be:
[tex]x=2,\:z=-1,\:y=2[/tex]
(6d+5) – (2 – 3d) =
Answer:
9d + 7
Step-by-step explanation:
(6d + 5) - (2 - 3d)
= (6d - (-3 d))+ (5 - 2)
= (6d + 3d) + 3
= 9d + 3
What is the value of the expression below?
36÷103
Answer:
0.3495.
Step-by-step explanation:
............................
ahhhhhhhhh come on I'm so stupid
Answer:
1. -32
2. -46
Step-by-step explanation:
1. When muliplying a number with a postive number and a negative number the answer will be a negative number
2. When you have a negative number and when you have a postive number and you are subtracting your answer has to be a negative answer
Answer:
cvgbnm,m
Step-by-step explanation:
bxxcvn vn
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each piece
Answer: See explanation
Step-by-step explanation:
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
The time spent on each subject will be the remaining hours left divided by 7. This will be:
= 5 3/5 ÷ 7
= 28/5 ÷ 7
= 28/5 × 1/7
= 28/35 = 4/5 hours
Since 60 minutes make one hour
4/5 hours = 4/5 × 60 = 48 minutes
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
This will be:
= 6 3/4 ÷ 2 1/4
= 27/4 ÷ 9/4
= 27/4 × 4/9
= 3 boxes
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each.
Joana ribbon = 12 1/4 meters
Joy's ribbon = 12 1/4 - 3 = 9 1/4 meters
We then add both length of ribbons and divide by 2. This will be:
= 12 1/4 + 9 1/4
= 21 1/2 meters
= 21 1/2 meters ÷ 2
= 43/2 ÷ 2
= 43/2 × 1/2
= 43/4
= 10 3/4 meters
What work am I supposed to do I have to do the work or I will get it wrong !
A baseball player successfully hits the ball 30% of the time. If he gets 450 chances to hit the ball in a season, what is the total number of times he will successfully hit the ball?
Answer:
135
Step-by-step explanation:
450 *.3
Dan Miller has been granted $120,000 mortgage loan. When signing the papers to purchase his new home, he will need to pay closing costs, what's are the total costs?
Answer:1222
Step-by-step explanation:
this is why this the answer
[tex]776{x} 34344[/tex]A printer takes 2 and a half seconds to print a flyer.It took 75 secons to print a batch of flyers with out stopeding. How many flayers are in a batch
Answer:
30 flyers
Step-by-step explanation:
A printer prints:
1 flyer = 2 1/2 seconds = 2.5 seconds
1 batch of flyers = 75 seconds
The number of flyers in a batch is:
2.5 seconds = 1 flyer
75 seconds = x
Cross Multiply
2.5 × x = 75 × 1
x = 75/2.5
x = 30 flyers.
Therefore, the number of flyers in a batch is 30 flyers
PLS help ASAP ILL give brainlyest
Answer:
Ooh this is hard bye b-sh
Step-by-step explanation:
Need help!!! Plzzz Help mee
Rita sprinted 77 feet in 10 seconds. How many miles per hour is this?
Answer:
5.25 miles per hour
Answer:
5.25 mph
Step-by-step explanation:
help find the missing side length???
Answer:
you look at the numbers and add the other numbers.
Step-by-step explanation:
i need help with these
Answer:
7+4=11
Step-by-step explanation:
12/3 equalls 4 because the 12÷3=4.
PLS PLS HELPPPPP ASAP
Answer:
Wht u need help on?
Step-by-step explanation: