The sum of polynomials involves adding the polynomials
The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
The sum of the polynomials is given as:
[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]
One of the polynomials is given as:
[tex]P = 4y^2 - 3[/tex]
Represent the other polynomial with Q.
So, we have:
[tex]P +Q =Sum[/tex]
Substitute the expressions for P and Sum
[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]
Make Q the subject
[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]
Evaluate like terms
[tex]Q =y^3 -y^2+ 4y - 1[/tex]
Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
Read more about polynomials at:
https://brainly.com/question/1487158
A square has sides of length 36.5 yards. What is the area?
Answer:
1332.25 yd²
Step-by-step explanation:
To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.
36.5 * 36.5=1332.25
Given the probabilities below, for what P(A) are events A and B independent? P(B)=0.5 P(A and B)=0.25.
A) 0.75
B) 0.5
C) 0.25
D) 0
What is the slope of the line containing (-2, 5) and (4, -4)?
Answer:
B. - 3 / 2
Step-by-step explanation:
Let,
( x1, y1 ) = ( - 2, 5 )
So,
x1 = - 2
y1 = 5
( x2, y2 ) = ( 4, - 4 )
So,
x2 = 4
y2 = - 4
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( - 4 - 5 ) / ( 4 - ( - 2 ) )
= - 9 / ( 4 + 2 )
= - 9 / 6
Slope = - 3 / 2
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (4, - 4 )
m = [tex]\frac{-4-5}{4-(-2)}[/tex] = [tex]\frac{-9}{4+2}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex] → B
Please help me with this question!
Answer:
a) 45/4
b) 3
c) 12
d) 24
e) no; rate of change varies
Step-by-step explanation:
The average rate of change on interval [a, b] is given by ...
m = (f(b) -f(a))/(b -a)
The function values are read from the table.
__
a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4
b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3
c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12
d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24
e) Not a linear function. The rate of change is not constant.
4x^2 = 16
The solution to the equation is: ____?
[tex] {4x}^{2} = 16 \\ = > {x}^{2} = \frac{16}{4} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = ± 2 \: \: [/tex]
Answer:
The solution to the equation is: ±2.
Hope you could get an idea from here.
Doubt clarification - use comment section.
can somebody help me/tell me how to do these?
Hi! I'll try to help
It gives you two equations, one for "x" and one for "y"
All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.
y=4x
3x-y=1
Since we know that "y" is the same as 4x, you can rewrite the equation as
3x-4x=1
Next, all you have to do is combine like terms as solve "3x-4x" which is -x
Let's rewrite the equation, then:
-x=1
You can simplify it to
x=-1
by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive
Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)
Answer:
g(f(x)) = 8x^3-24x^2+34x-18
Step-by-step explanation:
The composition is ...
[tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]
i need help on this assignment
Please help me (It's for a really important grade)
Answer:
4/5
Step-by-step explanation:
Sin = Opposite / Hypotenuse
Note that hypotenuse = longest side
We want to find sinФ
The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10
So sinФ would equal 8/10 which can be simplified to 4/5
Solve the literal equation for the variable t:
Answer:
t=y÷x+3
Step-by-step explanation:
you have to isolate t
(I may have put the equation in the wrong order but I'm like 70% sure i got it)
lois made a dish with 6 1/3 cups of pasta . One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lous made?
Answer:
33 2/3
Step-by-step explanation:
First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.
So now we have 95/15 and 3/15. From here, we would divide 95 by 3.
95 ÷ 3 = 31 10/15
This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.
What is the equation on the graph?
Please help!!!
Answer:
y = -1/4x + 2
Step-by-step explanation:
using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2
A sheet of plastic is 0.12 cm thick. The sheet of plastic is folded so that the folded sheet is twice as thick after each fold.
2. How thick will it be after 3 folds?
1. What is the least number of folds you have to make before the folded plastic is thicker than 3.6 cm?
Answer:
1. the plastic will be 0.48 cm thick after 3 folds
Step-by-step explanation:
Which choice is similar to the figure shown?
Answer:
The parallelogram whose sides are 5 and 20 is similar
Step-by-step explanation:
The parallelogram whose sides are 5 and 20 is similar to the given parallelogram whose sides are 2 and 8 because the figures are the same shade and corresponding sides are proportional.
[tex]\frac{2}{5} = \frac{8}{20}[/tex] [tex]\frac{2}{4} \neq \frac{8}{18}[/tex]
[tex]\frac{2}{5} =\frac{2}{5}[/tex] [tex]\frac{2}{4} \neq \frac{8}{4}[/tex]
Ms. Vescelius wants to divide her class into cooperative learn-
ing groups. If there are 28 students in the class and she wants
all the groups to have the same number of students, how
many students should she put in each group?
HELP PLEASE IS IMPORTANT!
Solve the equation by using the Quadratic Formula.
2x 92-5
See attachment for answer and math work.
: If 10 less than 5 times a number is two more than 3 times the number, then the number is
Answer:
x = 1Step-by-step explanation:
If 10 less than 5 times a number is two more than 3 times the number, then the number is
10 - 5x = 2 + 3x
10 - 2 - 5x - 3x = 0
8 - 8x = 0
x = 1
---------------
check
10 - 5 * 1 = 2 + 3 * 1
5 = 5
the answer is good
Someone please help!!! Can’t find this one anywhere!!! please and thank you!!!!!!!
[tex]\dfrac{ 2+ 2i}{5+4i}\\\\\\=\dfrac{(2+2i)(5-4i)}{(5+4i)(5-4i)}\\\\\\=\dfrac{10-8i + 10i -8i^2}{5^2 -(4i)^2}\\\\\\=\dfrac{10+2i +8}{25+16}~~~~;[i^2 =-1]\\\\\\=\dfrac{18+2i}{41}\\\\\\=\dfrac{18}{41} + \dfrac{2}{41}i[/tex]
5y+4x=10.51 8y+3x=10.39
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
4(3q + 10) = 6( 2q - 9 )
Could some please help and explain?
Answer:
x = 7
Step-by-step explanation:
A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that
7x+8 = 9x - 6
subtract 7x from both sides to put the variable on one side
2x - 6 = 8
add 6 to both sides to isolate the variable and its coefficient
2x = 14
divide both sides by 2 to isolate x
x = 7
A number cube labeled 1 through 6 is rolled 5 times. What is the probability of landing on 5 each time?
Answer:
1/6
Step-by-step explanation:
can i get brainliest pls
9_9_9_9=111
what are the signs?
Answer:
Step-by-step explanation:
im not sure and what do u mean by signs
Answer:
multiplie maybe i dont know what you mean-
Step-by-step explanation:
13 fasteners cost 78 cents find the cost for purchasing 4, 687 fasteners
First divide 4687 by 13 and then multiply the answer by 0.78. The answer would be:
4687÷13= 360.5384615
360.5 × 0.78 = $281.22
Your piggy bank has $85 and each day you take out $3. You want to have at least $22 left in your piggy
bank. How many days did you take money from your piggy bank?
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
It is too garlicky.
Step-by-step explanation:
lol, uhm, this is a little bit of a strange question ngl, but I guess it's testing you on measurements and units, right?
Well, 12 gloves of garlic for every 900 mL of sauce in comparison to 8 cloves of garlic for every 500 mL of sauce is quite a difference to be honest, might even be too much in her opinion. 8 cloves for every 500 mL is more than 12 cloves for every 900 mL, so I'd say she'll think it's too garlicy.
I apologize, in advance, if I am incorrect.
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm
{(2,12), (3,8), (4,6)}
constant:
equation:
Answer:
y = x² - 9x + 26
hope to help!!
PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE
Step-by-step explanation:
Please forgive me if I'm wrong but I would choose A, B, and E.
Can someone Please help me on this easy math problem
Step-by-step explanation:
Equation of a straight line
y = mx + c, m is the slope, and c the intercept
points (3,7) x = 3, y = 7, c = 1
7 = m × 3 + 1
7 = 3m + 1
3m = 7 - 1
3m = 6
m = 6/3
m = 2