Factor this expression completely, then place the factors in the proper location on the grid.
x3 - 1
Answer:
(x - 1)(x^2 + x + 1)
Step-by-step explanation:
they said it was the answer.
Which two values of x are roots of the polynomial below?
5x2 - 5x+1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[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]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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?
Answer:
y=40x+75
40 is the slope and the y-intercept is 75
Determine the area of the shaded region (grey) in the quadratic form.
Hint: Shaded area = (gray rectangle area) – (white rectangle area)
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]
Please answer asap, thank you so much.
Find the slope
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
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.
What is mQP?
A.) 20°
B.) 70°
C.) 100°
D.) 40°
E.) 80°
Answer:
i think it might be b 70° sorry if it's not
wich expression is equivelent to 4(3+5)-3times9 to the power of 2
Answer:
-211
Step-by-step
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
Answer:
812
Step-by-step explanation:
Answer:812
Step-by-step explanation: multiply 4 by 203
Need help with this slide about proofs explanation would be nice aswell.
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.
In what quadrant would (9, -13) be located?
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:
What is the percent of change from 100,000 to 20,000?
400% increase
400% decrease
80% decrease
80% increase
Answer:
That is an 80% increase
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
Answer:
Step-by-step explanation
Need help with this please
Answer:
The answer is 25.
Step-by-step explanation:
hope this helps
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
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
If=3,=4=2,determine2+4.
The sum of four times a number and -3 is greater
than 16
Answer:
2+2+2+2=8-3=5
Step-by-step explanation:
so what about This
Answer:
it is 4x + -3 < 16
Determine if the table shows a linear or an exponential function
Answer:
The table shows an exponential function
Step-by-step explanation:
Linear vs Exponential Functions
A linear function is written as:
[tex]y=mx+b[/tex]
where m and b are constants.
If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.
The slope can be calculated as:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
An exponential function is written as:
[tex]y=y_o.r^x[/tex]
Where r is the ratio and yo is a constant.
If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.
The ratio can be calculated as:
[tex]\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}[/tex]
Calculate the slope for (0,4) and (1,2):
[tex]\displaystyle m=\frac{2-4}{1-0}=-2[/tex]
Calculate the slope for (1,2) and (2,1):
[tex]\displaystyle m=\frac{1-2}{2-1}=-1[/tex]
Since the slope is not the same, the function is not linear.
Now calculate the ratio for (0,4) and (1,2)
[tex]\displaystyle r=\sqrt[1-0]{\frac{1}{2}}[/tex]
The radical of index 1 is simply equal to its argument:
[tex]\displaystyle r=\frac{1}{2}[/tex]
Now calculate the ratio for (0,4) and (2,1)
[tex]\displaystyle r=\sqrt[2-0]{\frac{1}{4}}[/tex]
[tex]\displaystyle r=\sqrt{\frac{1}{4}}[/tex]
[tex]\displaystyle r=\frac{1}{2}[/tex]
Testing other points we'll find the same ratio, thus the table is an exponential function
Showing algebraic support, find the value of x.
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
Edna has a segment with endpoints F(4,9) and G(7,2) that is divided by a point H
Answer:
1/4 is your answer.
Step-by-step explanation:
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.
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.
What is the shape of the cross section taken perpendicular to the base of a cone?
Answer:
triangle
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?
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
identify the like terms in:
Answer:
bthw like your phone case the answer is ac and hope this helps mark me branliest
Step-by-step explanation:
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).
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
need help asap please
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]
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.
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
4x^2-21x-18=0
Find the discriminate
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
find ten rational number between –3and–2
Answer:
0
Step-by-step explanation:
PLEASE HELP
(image included)
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.
