[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]
[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]
There are two types of packages that are available for hotel stay
- you can use the hotel unlimited for $500 a month
- Or you can spend $50 a day per visit.
Enter an equation that can be used to find the number of visits per month needed for the two packages to cost the same amount
Answer:
for one month 500$
for daily visit 50$
500$=50$*x days
x days=500$/50$
x days = 10 days
10 days of daily visits costs 500$ equal to one month
Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.
Rectangle JKLM is drawn on the grid with vertices J at negative 7, negative 6. K is at negative 4, negative 6. L is at negative 4, negative 2. M is at negative 7, negative 2. Rectangle J prime K prime L prime M prime is drawn with vertices J at prime 6, negative 9. K prime is at 9, negative 9. L prime 9, negative 5. M prime is at 6, negative 5. Trapezoid STUV is drawn with vertices at S 3, 2. T is at 5, 5. U is at 2, 6. V is at 1, 4.
What will be the location of T′ in the image trapezoid S′T′U′V′?
(18, −2)
(18, 2)
(15, −2)
(15, 2)
The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The segment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.
In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units. droiyhjfgmdp[ytijkmrdo[ijy[hjmpoiujhokmonj-oimog[fujyjh[opifj[yuj'hkm[ofidyjhoijpofyijh[foist[Yaj[hkmcf[oiyjnjc[city[huff[pay[Pj[ifcjty[ijh[fjotijyh[Hj[fogyish[coif[t0yju[pick[fujph[fj0yh-hifcj[oijhpoijcoijhpouihughdxoiuhtoutpgoindxhouthughxdiurht09uhdxpjrtnhiuhdxiourth8iuthojucfptui9yhufchouihgcifuygtidhiougocdiudrhtudxhfogiurhtiohgcdoiuhoiuxdrhtoiughoiutdgr8uhseoiuhtdiuhroiuiudxdhgioudhugtoirugiudghxtiugdifurtyioudfxhriuytoduyhxotuyotiugoiutyoiuhrtuoihesoitughedugyhoiduhrtouhoiguhoidruthuihgdoiuhrtouighdoiurhtghoidutrhourthiuhdcoiutrioduhtgoiuhoitdrhgiouhoiuhderytgiudyhi8yetgiydhrugterudsoseoysrtgoivdxuht8ygfodushty8ugf9d8sythuygsd9e8tgoyfsdgtofidugsyt8g9s8ewgutiyges8tgiueysg7iygterysgt8t6yoesut
Can anyone help with this?
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−2,−1) and ( − 6 , − 5 ).
Answer:
[tex]y = -x - 7[/tex].
Step-by-step explanation:
Slope of the given line segment:
[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].
The slope of any line perpendicular to this line segment would be:
[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].
Midpoint of the given line segment:
[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].
Simplifies to get:
[tex](-4,\, -3)[/tex].
Find the equation of the perpendicular bisector in point-slope form and simplify.
[tex]y - (-3) = (-1)\, (x - (-4))[/tex].
[tex]y + 3 = -x - 4[/tex].
[tex]y = -x - 7[/tex].
what is the value of the 4 in the number 27.43? write your answer as a fraction
Answer:
4 tenths or 4/10
Step-by-step explanation:
Factor x4 - y4 completely.
A) (x^2 + y^2)(x + y)(x - y)
B) (x^2 - y^2)(x + y)(x - y)
C) (x^2 + y^2)(x - y)(x - y)
D) (x^2 + y^2)(x + y)(x + y)
Option A
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Subtract 8−2x from 3−6x . Enter your answer by filling in the boxes. $$
Answer:
-4x-5
Step-by-step explanation:
(3-6x)-(8-2x) = 3-8+2x-6x = -4x - 5
HELP BRAINLY PPLS!!! Identify the transformation that was applied to this boomerang.
A.Translation
B.Rotation about the origin
C.Reflection over the x-axis
D.Reflection over the y-axis
Answer:
B should be the answer because it did rotate and the origin is in the middle 0,0 which it look like to me it is on.
Wheel Fun offers rentals of paddle boats that can be enjoyed by 2 or 3 riders. The price for renting a paddle boat is $15 for each hour. Customers must also pay a $20 deposit on the rental. Write an equation that can be used to determine the price, y for renting a paddle boat for x, hours?
Answer:
15+20=35+15 And then add an additional plus 15 for each hour
Step-by-step explanation:
What is the answer to the question. Solve for x
Answer:
Answer:
[tex]x=\frac{75}2[/tex]
Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]
“find the measure of angle A” whats the answer for both of them?
Answer:
255) 36°
257) 30°
Step-by-step explanation:
The sum of the angle measures in a triangle is 180°.
__
255)(x +43) +(x +77) +74 = 180
2x = -14 . . . . . . . . . . . subtract 194
x = -7
∠A = -7 +43 = 36°
__
257)5x +(3x +2) +130 = 180
8x = 48 . . . . . . . . . . . . . . subtract 132
x = 6
∠A = 5·6 = 30°
How to perform aerial math for following:
5.1 x 3.5 X 0.5+9.4
Solve for x: x /6−y/3= 1
SHOW WORK
[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]
the marked price of a table fan is Rs 1400 and 10% discount is allowed on it. Find it's cost with 15%VAT.
Answer:
marked price=1400
discount=10%
VAt= 15%
selling price=?
Now
we know that,
sp= mp - discount%of mp
1400- 10% of 1400
1400 - 10÷100* 1400
1400
Divide.
1585 ÷ 25
63
6312
6325
63710
Answer:
The answer is 63 2/5
Step-by-step explanation:
Converting to mixed numbers divide 317 by 5.
5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.
The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.
Steve checked out a book and a video from the local library. They were three days overdue when he returned them. The fine was 15 cents for each day the book was overdue, and 25 cents for each day the video was overdue. How much did Steve owe?
Answer:
1.20 or 120 cents
Step-by-step explanation:
First, we need to calculate the total due for the book. 15 cents(3 days) = 0.45
Next, we need to calculate the total due for the video. 25 cents(3days) =0.75
0.75+0.45=1.2 dollars, or 120 cents
1985 x 99 I already know the answer: 196515
Answer:
196515
Step-by-step explanation:
HELP ILL MARK BRAINLIEST ANSWER THIS QUESTION IN THE PIC
Put the following equation of a line into slope-intercept form, simplifying all fractions. 6y+4x=-12
Step-by-step explanation:
6y +4x=-12
6y=-4x-12
y= -4/6x -12/6
y= -2/3x -2
what is /12x^8| /3x2 in simplest form where x>0
Answer:
2x^3
C
Step-by-step explanation:
Chang works as a tutor for $11 an hour and as a waiter for $13 an hour. This month, he worked a combined total of 90 hours at his two jobs. Let t be the number of hours Chang worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Can you show more information please? I need more.
T = 90t + 90w
Step-by-step explanation:
90t = 90x11 = 990
90w = 90 x 13 = 1170
T = 90t + 90w
T = 990 + 1170
T = 2160
A chi-squared curve is symmetric about 0
Answer:
The answer is false
Step-by-step explanation:
Unlike any symmetric distribution, the chi-square distribution is non-symmetric. Accordingly, this statement cannot be trusted—b.
As chi-square does not depend on all degrees of freedom, it is a non-symmetric distribution that excludes symmetric data.
4y^3-9y=0 solve by factoring
Answer:
[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]4y^3-9y=0[/tex]
[tex]y(4y^2-9)=0[/tex]
[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares
[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]
Help hep help help math math
Answer:
-2
Step-by-step explanation:
the input, or domain is always replacing x
y=-2x+6
y=-2(4)+6
y=-8+6
y=-2
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $1,000, annual interest: 6%, interest periods: 6, number of years: 14 more than the investment compounded annually.
After 14 years, the investment compounded periodically will be worth $ ____(Round to two decimal places as needed.)
After 14 years, the investment will be worth $ 2,306.72.
Given that an investment has a $ 1000 principal, 6% annual interest, 6 interest periods and 14 years of investment, to determine, after 14 years, how much the investment will be worth, the following calculation must be performed:
1000 x (1 + 0.06 / 6) ^ 14x6 = X 1000 x 1.01 ^ 84 = X 1000 x 2.3067 = X 2,306.72 = X
Therefore, after 14 years, the investment will be worth $ 2,306.72.
Learn more about maths in https://brainly.com/question/15603792
Alexandra was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 13%. What number should she multiply the cost of the meal by to find the total plus tip in one step?
Answer:
x = Total meal cost
y = Total cost-plus tip
113% * x = y
Find m
∠
K
M
L
∠KML.
Answer:
35°
Step-by-step explanation:
The base angles of an isosceles triangle are congruent. The sum of angles in a triangle is 180°, so we have ...
2M +110 = 180
2M = 70
M = 35
The measure of angle M is 35°.
25 Points please help!!!
Answer:
The one you clicked on in the picture is correct
Step-by-step explanation:
By elimination you can tell that it is the bottom two answers (+3 is inverse of -3). And it is the answer you selected because it cube roots whats in parentheses. So you are correct with the answer you have selected right now
Please look for the question in the picture.
it will be c
as
negative with negative erased together
Can someone please help with this?
Solve the equation p2 + 14p = 32 by completing the square method (and need to show work)
Answer:
p=2,-16
Step-by-step explanation:
move all terms to left side and set equal to zero. then set each factor equal to zero