Determine whether each expression is equivalent to x3−25x. Select Yes or No for each expression.
Answers
The expression that is equivalent to x³ - 25x is x(x² - 25) and x(x + 5)(x - 5)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables
Given the expression:
x³ - 25x
Factoring the equation gives:
x(x² - 25)
= x(x + 5)(x - 5)
The expression that is equivalent to x³ - 25x is x(x² - 25) and x(x + 5)(x - 5)
Find out more on equation at: https://brainly.com/question/2972832
Related Questions
What are the roots of the polynomial equation x cubed minus 5 x + 5 = 2 x squared minus 5? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.
–3, –5
–2.24, –2, 2.24
–2.24, 2, 2.24
3, 5
Answers
Answer:
c
Step-by-step explanation:
–2.24, 2, 2.24
The solution to the equation of the polynomial function [tex]x^3 - 5x + 5 = 2x^2 - 5[/tex] is (c) –2.24, 2, 2.24
How to determine the roots of the polynomial?The function is given as:
[tex]x^3 - 5x + 5 = 2x^2 - 5[/tex]
Split the function.
So, we have:
[tex]y = x^3 - 5x + 5[/tex]
[tex]y = 2x^2 - 5[/tex]
Using a graphing calculator, we have the x coordinate at the point o intersection of both equations to be
x = –2.24, 2, 2.24
Hence, the solution to the equation is (c) –2.24, 2, 2.24
Read more about system of equations at:
https://brainly.com/question/14323743
#SPJ2
On a two-week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee.
What number is the slope of the line shown by the equation?
Answers
Answer:
y=40x+75
40 is the slope and the y-intercept is 75
PLEASE HELP!!!Which statement is true? Select all that apply.
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x
Answers
Answer:
"The relationship is proportional."
"The relationship is proportional."
"The equation of the line is y = -3x"
Step-by-step explanation:
First, a proportional relationship can be written as:
y = k*x
where k is called the constant of proportionality. (or the slope)
You can see that if we take x = 0, we have
y = k*0 = 0
Then this type of line always passes through the point (0, 0).
And in the graph you can see that this line does that, then:
"The relationship is proportional." is true.
We also can see that as x increases, the value of y decreases, this must imply that k is a negative number, then:
"The slope is negative." is true.
To find the value of the slope, we can take two points that belong to the line.
I will choose:
(0, 0) and (2, -6)
For the slope, we just take the quotient between:
Δy = -6 - 0 = -6 (the difference in the y-components)
Δx = 2 - 0 = 2 (the difference in the x-components)
the slope is:
k = Δy/Δx = -6/2 = -3
Then the slope is -3, and we can write the equation as:
y = -3*x
Then:
"The equation of the line is y = -3x" is true.
mike and some of his friends went camping. they went on a nature hike and fund 25 different insects.mike found 15 of those insects .what is the ratio of insects mike found to th insects found by the group
Answers
Answer:
15 to10
Step-by-step explanation:
Determine the area of the shaded region (grey) in the quadratic form.
Hint: Shaded area = (gray rectangle area) – (white rectangle area)
Answers
Answer:
The area of shaded region is: [tex]13x^2+6x-15[/tex]
Step-by-step explanation:
We can see in the diagram that
[tex]Length\ of\ gray\ rectangle = l_g = 3x+5\\Width\ of\ gray\ rectangle = w_g = 4x-3[/tex]
The area of rectangle is given by:
Area = Length * width
Now for gray rectangle
[tex]A_g = l_g * w_g\\= (3x+5)(4x-3)\\= 3x(4x-3)+5(4x-3)\\= 12x^2-9x+20x-15\\=12x^2+11x-15[/tex]
For White Rectangle:
[tex]Length = l = 5-x\\Width = w = x\\A_w = l * w\\A_w = (5-x)(x)\\= 5x-x^2[/tex]
Now,
The area of shaded region will be calculated by subtracting the area of white triangle from the gray triangle.
[tex]A_s = A_g - A_w\\= (12x^2+11x-15) - (5x-x^2)\\=12x^2+11x-15-5x+x^2\\=12x^2+x^2+11x-5x-15\\=13x^2+6x-15[/tex]
Hence,
The area of shaded region is: [tex]13x^2+6x-15[/tex]
Edna has a segment with endpoints F(4,9) and G(7,2) that is divided by a point H
Answers
Answer:
1/4 is your answer.
Step-by-step explanation:
Wz intersects triangle abc at points x and y
Answers
Answer:
????????????????????????????????
Step-by-step explanation:
4x^2-21x-18=0
Find the discriminate
Answers
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:729
Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729
Select all that apply. What are some uses for the distance formula? Finding the perimeter of polygons. Finding the area of rectangles. Finding the equation of a circle. Finding the midpoint of segments. Finding how much gas you will need on a trip.
Answers
Answer:
Everything except the finding the midpoint
Step-by-step explanation:
If the question states the points of a shape, you can find the perimeter and the area of the polygon because you would know the dimensions and the lengths of each side, but in the options, it says the area of a rectangle, and it doesn't have to be a rectangle
You can find the equation of the circle, by finding the diameter of the circle and the radius. With the diameter, you would be able to find the centre of the circle and then you need to divide the diameter by two to get the radius.
For the midpoint, you use the midpoint formula. You just need to sub in the points into the formula and you would get the midpoint
When you are given two points on a graph (or worded problem), and it says that for every x number of km it uses y amount of gas and the question asks to find how much gas is needed in between these two points, you can do this. Find the distance between the two points and then use algebra to work out the amount of gas required
Answer:
12 z abd and also 097
Step-by-step explanation:
Naomi has a toy car collection of 300 toy cars. She keeps 243 of the toy cars on her wall. What percentage of Naomi's toy car collection does she keep on her wall?
Answers
Answer:81% or .81
Step-by-step explanation:
81% or .81
Explanation:
243 ÷ 300 = .81
Answer:
the answer is 81%
Step-by-step explanation:
i used google and an answer key
100 POINTS!!! HELP PLEASE!!
(12-15) Q(x) = 2x^4 - 7x^3 + 6x^2 + x -2
1. Use synthetic division to determine whether (x-1) is a factor of Q(x).
2. Use synthetic division in to find Q(-2)
3. List all of the possible rational roots of Q(x) = 0
4. Find all of the real roots Q(x) =0
Answers
Answer:
Step-by-step explanation
Factor this expression completely, then place the factors in the proper location on the grid.
x3 - 1
Answers
Answer:
(x - 1)(x^2 + x + 1)
Step-by-step explanation:
they said it was the answer.
Please answer asap, thank you so much.
Find the slope
Answers
Equation would be y= -2/5x + 5
Hope this helps!
The sum of four times a number and -3 is greater
than 16
Answers
Answer:
2+2+2+2=8-3=5
Step-by-step explanation:
so what about This
Answer:
it is 4x + -3 < 16
In what quadrant would (9, -13) be located?
Answers
Answer:
The point is located in the fourth quadrant because x is positive and y is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
Step-by-step explanation:
Answer:
It would be located in the second quadrant or the one under the positive quadrant
Step-by-step explanation:
PLEASE HELP QUICK FIND THE y-intercept and the slope and the roc
please don’t do it for the points i actually need help
Answers
Answer:
4.5 or 5
Step-by-step explanation:
Acording to your graph it would be whatever point that is one the Y line which is going vertical.
Priya and Han are biking in the same direction on the same path.
1. Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after t hours.
miles
2. Priya started riding a half hour before Han. If Han has been riding for t hours, how long has Priya been riding?
hours
3. Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for t hours.
4. Use your expressions to find when Han and Priya meet.
t=
They meet after Han rides for
hours and Priya rides for
hours.
Answers
Answer:
1. V = D/t => D=Vt. as V = 16mph
D = 16t
2. Prya has been riding for t+½ hours
3. Prya has gone 12(t+½) miles
4. When Prya and Han meet
16t = 12t +6
4t = 6
t = 3/2 hours
Need help with this slide about proofs explanation would be nice aswell.
Answers
Answer:
1. AB ~= DF
2. Definition of Congruent
3. Reflexive Property of Congruency
4 BD=BD
6. AB+BD=AD; DF+BD=BF
7. Substitution Property of Equality
8. Definition of Congruent
Step-by-step explanation:
1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).
2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.
3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.
4. Remember if something is congruent then it is equal.
6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.
7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.
8. If two things are congruent then they are equal by definition of congruency.
Need help with this please
Answers
Answer:
The answer is 25.
Step-by-step explanation:
hope this helps
I got a 98% on my midterm im not boasting just congratulate me and it was in SPANISH im shoooook here are free 100 points
oh and so this don't get taken down answer this:
what is 4 x 203
Answers
Answer:
812
Step-by-step explanation:
Answer:812
Step-by-step explanation: multiply 4 by 203
What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?
Answers
Answer:
y + 1 = 6(x - 4)
Answer: y + 1 = 6(x - 4)
Assume that y varies directly with x. If y=−4 when x=2, find y when x=−6. Enter in any fractions using a / (e.g. "1/2" is the same as 1^/2).
Answers
Answer: 12
Step-by-step explanation:
This is a direct proportion and we use the formula:
y = kx
If y = −4 when x=2, we need to find the constant of proportionality. This will be:
y = kx
-4 = 2k
k = -4/2
k = -2
To find y when x=−6 guess this:
y = kx
y = -2 × -6
y = 12
Hence, The value of y = 12 when x = -6.
Given that , Y varies directly with x .
If y=−4 when x=2,
Find y when x=−6.
According to the question,
This is a direct variation , y = kx
If,
y = −4 when x=2,
y = kx
-4 = 2k
[tex]k = \frac{-4}{2}[/tex]
k = -2
To find ;
y when x = −6
y = kx
y = (-2) (-6)
y = 12
Hence, The value of y = 12 when x = -6.
For more information about Direct variation click the link given below.
https://brainly.com/question/13977805
PLEASE HELP
(image included)
Answers
Answer:
Cameron found 23 quarters and 57 dimes.
Step-by-step explanation:
Let the number of quarters Cameron found = Q
And the number of dimes = D
Since, total number of coins were 80,
Q + D = 80 -----(1)
Total amount of the coins was $11.45,
0.1D + 0.25Q = 11.45
10D + 25Q = 1145
2D + 5Q = 229 -----(2)
Equation (1) multiplied by 2 then subtracted by equation (2),
(2D + 5Q) - 2(Q + D) = 229 - 2(80)
(2D - 2D) + (5Q - 2Q) = 229 - 160
3Q = 69
Q = 23
From equation (1),
23 + D = 80
D = 57
Cameron found 23 quarters and 57 dimes.
The first element in an arithmetic sequence is 2. Its twenty-fifth is 14. Find the value of n so that a - 6.
Answers
Answer:
hindi ko alam yan ha ano
Answer:
the difference between numbers of sequence is 0.5 or 1/2
here,
the formula to find n terms is 0.5n+1.5
this may help you(:
If=3,=4=2,determine2+4.
Answers
wich expression is equivelent to 4(3+5)-3times9 to the power of 2
Answers
Answer:
-211
Step-by-step
Showing algebraic support, find the value of x.
Answers
Answer:
x = 52.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides, thus is isosceles
The base angles of an isosceles triangle are also congruent, thus
x = [tex]\frac{180-75}{2}[/tex] = [tex]\frac{105}{2}[/tex] = 52.5
PLZ HURRY I ONLY HAVE 27 MINUTES TO GET THIS DONE
The owner of a local music store was interested in knowing which type of music most of his customers preferred. From a list of his regular customers the owner picked a name at random and every sixth person on the list after that, going through the list and returning to the name he started with. Was this a random sample and if so, which sampling method was used? A. Yes, he used simple random sampling. B. Yes, he used systematic random sampling. C. Yes, he used stratified random sampling. D. No, he did not choose a random sample.
Answers
Answer:
definitely b.
Step-by-step explanation:
Answer:
I'm just going with the person above me that the answer is B. Yes, he used systematic random sampling.
Step-by-step explanation:
Tell me if I'm wrong.
need help asap please
Answers
Answer: f = 12.5
Step-by-step explanation:
[tex]f = \frac{25}{2} \\decimal form = 12.5\\ mixed fraction form 12 \frac{1}{2}[/tex]
Which two values of x are roots of the polynomial below?
5x2 - 5x+1
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]5 {x}^{2} - 5x + 1 = 0[/tex]
[tex](x - \frac{5 + \sqrt{5} }{10} )(x - \frac{5 - \sqrt{5} }{10} ) = 0 \\ [/tex]
Thus :
[tex]x = \frac{5 + \sqrt{5} }{10} \\ [/tex]
[tex]x = \frac{5 - \sqrt{5} }{10} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
