Answers
This is like a base form of a prime polynomial
X^2+x+1
=============================================================
Explanation:
Choice B has the GCF x we can factor out like so
10x^4-5x^3+70x^2+3x = x(10x^3-5x^2+70x+3)
Showing that choice B is not prime. If a polynomial can be factored, then we consider it not prime. It's analogous to saying a number like 15 isn't prime because 15 = 3*5, ie 15 can be factored into something that doesn't involve 1 as a factor.
In contrast, we consider 7 prime because even though 7 = 1*7, there aren't any other ways to write this integer as a factorization if we don't involve 1.
-----------------------------------
Choice C is a similar story. This time we can factor out 3
3x^2 + 18y = 3(x^2 + 6y)
So we can rule this out as well.
-----------------------------------
Choice D is a bit tricky, but we can use the difference of cubes factoring rule
a^3 - b^3 = (a-b)(a^2+ab+b^2)
where in this case a = x and b = 3y^2
Note how b^3 = (3y^2)^3 = 3^3*(y^2)^3 = 27y^(2*3) = 27y^6
All of this means choice D can be factored and it's not prime either.
------------------------------------
We've ruled out choices B through D. The answer must be choice A.
If you let w = x^2, then w^2 = x^4
The polynomial w^2+20w-100 is prime because setting it equal to zero and solving for w leads to irrational solutions. I'm assuming your teacher wants you to factor over the rational numbers.
Because w^2+20w-100 can't be factored over the rational numbers, neither can x^4+20x^2-100. This confirms that choice A is prime.
Related Questions
Someone help me please I’m exhausted & struggling
Answers
Answer:
Step-by-step explanation:
Find the measure of the indicated side
Answers
Answer: X = 8
Step-by-step explanation:
Which of the following is an arithmetic sequence
Answers
Answer:
First one.
-3 is added to the previous term.
What is the image of the point (8,4) after a rotation of 90° counterclockwise about the origin?
Answers
=========================================================
Explanation:
The 90 degree counterclockwise rotation rule we use is
[tex](x,y) \to (-y,x)[/tex]
the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.
After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.
----------------
Extra info (optional section):
Define the following three points
A = (0,0)
B = (8,4)
C = (-4,8)
Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.
Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.
Type your response in the box. Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.
Answers
Answer:
Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.
Step-by-step explanation:
This answer is from Plato.
evaluate f(3) if (x) = -4x+5
Answers
Answer:
-7
Step-by-step explanation:
HI I really need help with this its in the picture
Answers
Explanation:
The blue rectangle has area of 4a^2*6a^2 = 24a^4
The red rectangle has area 4a^2*9a = 36a^3
The green rectangle has area 4a^2*3 = 12a^2
The total area is 24a^4 + 36a^3 + 12a^2
Help please!! 1. Solve the system of equations.
x + 5y = 3
3x - 2y = 6
Answers
Answer:
x = 9/2 y = 0
Step-by-step explanation:
2/3x + 5y = 3 5y = -2/3x + 3 y = -2/15x + 3/5
4/3x - 2(-2/15x + 3/5) = 6
4/3x + 4/15x - 6/5 = 6
8/5x - 6/5 = 6
8/5x = 36/5
x = 9/2
2/3(9/2) + 5y = 3
3 + 5y = 3
5y = 0
y = 0
GIVING BRAINLIEST!! Which of the following ordered pairs lies on the graph of y = tanx?
(5 pi, 0)
(-9pi/4, 1) <---- this is wrong
(-5pi, -1)
(pi/6, √3)
Answers
Answer:
[tex](5\pi ,0)[/tex]
if f(x)=x^2-11 for what values of x is f(x) < 25
Answers
Answer: D
Step-by-step explanation:
5²-11=14
6^2-11= 25
14>25
as the question asks for something lower than 25 not lower/equal to the answer is D.
The range of values for which f(x) < 25 are -6 < x < 6. The correct answer choice is e).
To find the values of x for which f(x) < 25, we substitute the expression for f(x) into the inequality and solve for x.
Given f(x) = x² - 11, we need to find the values of x that make f(x) less than 25.
x² - 11 < 25
Adding 11 to both sides, we have:
x² < 36
To determine the values of x that satisfy this inequality, we take the square root of both sides. Since the square root of a number can be positive or negative, we consider both positive and negative solutions.
x < √36
x > -√36
Simplifying, we get:
x < 6
x > -6
Therefore, the correct answer choice is e) -6 < x < 6, as it represents the range of values for which f(x) < 25. This means that x can take any value between -6 and 6 (excluding -6 and 6) for the inequality to hold true.
To learn more about function click on,
https://brainly.com/question/32772416
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18
Select the correct answer.
Which function is a horizontal translation of the parent quadratic function, f(x)=x^2
A. j(x)= x^2- 4
B. g(x)= (x-4)^2
C. k(x)= -x^2
D. h(x)= 4x^2
Answers
Answer:
B
Step-by-step explanation:
When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function
With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it
Thus;
f(x) = x^2 would be;
g(x) = (x-4)^2
Corresponding to a shift to the right of upto 4 units on the x axis
Answer:
g(x)= (x-4)^2
Step-by-step explanation:
Plato/Edmentum
What is the vertex of the parabola?
y - 3 = 1/2 (x + 5)²
( __ , __ )
Answers
Answer:
(-5,31/2)
Step-by-step explanation:
open bracket
y=1/2x^2+5x+28
compare with y=ax2+bx+c
use formula (-b/2a,4ac-b2/4a)
not a school-related question:
Best places to get ripped jeans or just skinny/curvy jeans
Answers
Answer: I gotta say forever 21, American eagle, rue21, and Aeropostale.
Step-by-step explanation:
PLS HELP ASAP!
which of the follwing expressions is equvialent to:
*image below*
Answers
Answer:
A
Step-by-step explanation:
simplify equation A
then you will get same as the expression above
if$3=£2 and Rs. 325=$3, how many pound(£) will be equal to Rs. 39000
Answers
Answer:
Rupees 39,000 are
378.63 Pound sterling
can you help me with this question please?
Answers
Answer:
(1, -3)
Step-by-step explanation:
You can see where the two lines intersect - that's the solution.
Dan invests £13000 into his bank account. He receives 4.7% per year simple interest. How much will Dan have after 6 years? Give your answer to the nearest penny where appropriate.
Answers
Step-by-step explanation:
SI = PxTxR/100
SI= (13000)(6)(4.7)/100
SI = 366600/100
SI= 3666
find the highest common factor and lowest common multiple of 152 and 266
Draw a factor tree for each
Answers
Answer:
the highest common factor of 152 and 266 is 38 and the lowest common multiple is 1064
Answer:
Explanation is in the attachment
hope it is helpful to you
Don't squeeze. Fiver shoppers buy Charmain toilet paper. One charmin out of 10 in this batch is defective-its unsqueezable. You want to save every one from this catastrophe, so you stop them at the door and ask to squeeze their charmin. After squeezing 5 rolls, what is the possibility that you have located 1 or more defective charmins? Hint start off with the chance that you squeezed no defective rolls.
Answers
Answer:
The probability of finding aleast one or more defective charmins = 0.40951
Step-by-step explanation:
The probability of not finding a defective charmin = 1
probability of finding defective charmain = 1-0.1 =0.9
The probability of not finding all five defective item =
Then,
probability of not finding all five defective item=0.59049
Thus,
The probability of finding atleast one or more defective chairmins = 1-0.59049
Therefore,
The probability of finding atleast one or more defective chairmins =0.40951
Ed buys a box of eggs costing £2.40, two packs of bacon for £2.60 each and two tins of baked beans.
He pays with a £10 note and gets 80p change.
How much does a tin of beans cost in pounds, £?
Answers
Answer:
£0.80
Step-by-step explanation:
1 box of eggs: £2.40
2 packs of bacon: 2 * £2.60
2 tins of baked beans: 2x
Change: 80p
Total = 2x + £2.40 + £5.20 + £0.80
Total = 2x + £8.40
2x + £8.40 = £10
2x = £1.60
x = £0.80
Answer: £0.80
will give BRAINLIEST ! plz help
Triangle ABC has A (-3, 6), B (2, 1), and C (9, 5) at its vertices.
The length of side AB is
A. (50)^1/2
B. (65)^1/2
C. (105)^1/2
D. (145)^1/2
units.
The length of side BC is
(one of the above options)
units.
The length of side AC is
(one of the above options)
units.
A. 55.21
B. 85.16
C. 105.26
D. 114.11
Answers
Answer:
AB= A. (50)^1/2
BC= B. (65)^1/2
AC= D. (145)^1/2
<ABC≈ 105
The function graphed to the left is
function.
and continues
The curve has
infinitely in one direction.
each
Each y-value is
corresponding x-value.
Answers
Answer: There is a circular
Step-by-step explanation:
Answer:
he function graphed to the left is
✔ a square root
function.
The curve has
✔ one distinct endpoint
and continues infinitely in one direction.
Each y-value is
✔ the square root of
each corresponding x-value.
Step-by-step explanation:
I NEED HELP SOMEONE HELP ME OUTTT!!
Answers
vedanta Excel In Opt. Mathematics - Book 9
Find the locus of a point which moves so that
(a) Its distance from (1, 2) and (2, -3) are equal.
Answers
The gradient of the line between (1,2) and (2,-3) is (-3 - 2)/(2 - 1) = -5
The perpendicular gradient = -1/-5 or 0.2
The midpoint between (1,2) and (2,-3) is ((1+2)/2,(2+-3)/2) = (1.5, -0.5)
Substituting into y=mx + c
-0.5 = 0.2 x 1.5 + c
-0.5 = 0.3 + c
c = -0.5 - 0.3 = -0.8
So the locus is the line y = 0.2x - 0.8
what is asked in the problem
Answers
Answer:
what's the question?
Step-by-step explanation:
and the problem?
Answer:
Please could you add some more info.
Thank you
Gabe went out to lunch with his best friend. The bill cost $16.40 before tax and tip. He paid a 9% tax and he left a 20% tip. How much did Gabe spend?
Hint: Tax and tip are both based on the original cost of the bill.
Don't forget to round to the nearest cent!
Answers
Explanation: First you want to take 9 percent of $16.40 using the equation 16.40 * 0.09 which is about $1.47. Then take 20 percent of $16.40 using the equation 16.40* 0.2 which is $3.28.
Now do 16.40+1.47+3.28 which equals $21.15
The sum of 36 and three times a number is 18 find the number
Answers
Answer:
x = -6
Step-by-step explanation:
sum means +
36 + 3x = 18
3x = 18 - 36
3x = -18
x = -6
Answer:
Step-by-step explanation:
36 + 3x = 18
subtract 36 from both sides
3x= -18
divide by 3
x = -6
the area of the room is 234 square feet. the length of the room is 18 feet. what is the width, in feet, of the room?
Answers
Answer:
13 feet
Step-by-step explanation:
the width = 234/18 = 13 feet
what is circle graph or pie chart?
Answers
Answer: read below
Step-by-step explanation:
A circle graph is a graph showing proportions of thing that label the person by using different colours
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.