Given :
Skies travel charges two-fifty for a plane ticket and $28 per day for rental car.
For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental.
To Find :
The minimum number of days in martin's vacation should be or r&r travel to be a better deal for him.
Solution :
Let, minimum number of days are x.
So, cost charged by Skies travel is, [tex]c_1 = 25+28x[/tex]
Cost charged by r&r travels is, [tex]c_2 = 305 + 23x[/tex]
r&r should be better deal when :
[tex]c_2 < c_1\\\\305 + 23x <25 + 28x\\\\5x >280\\\\x>56[/tex]
So, for better deal at r&r minimum number of vacation days is 57.
Hence, this is the required solution.
i don’t understand :(
Answer:
The quotient when [tex]x^3-4x^2-8x+8[/tex] is divided by [tex]x+2[/tex] is [tex]x^2-6x+4[/tex] with no remainder, so x+2 is a factor of p(x).
Step-by-step explanation:
As the question suggests, there are two ways to solve this problem: long division (which can always be used to divide polynomials), and synthetic division (which can only be used when you are dividing by something of the form [tex](x-a)[/tex]. In this case, we may use synthetic division, since [tex]x+2[/tex] is equal to [tex]x-(-2)[/tex]. I will use synthetic division here as it is slightly faster than long division.
The -2 on the left represents that we are dividing by x-(-2), and the rest of the numbers in the top row are the coefficients of p(x): 1, -4, -8, and 8.
The first step in synthetic division is to being down the leading coefficient of the polynomial: in this case, the 1 (as indicated in red). Now, we multiply the 1 by -2. We get -2, which we place directly below the -4.
Next, we add directly down the column, (-4 + (-2) is equal to -6), and this answer is placed in the box below. We can continue this process, getting the coefficients 1, -6, 4, and 0 in the bottom row.
This is the answer: the quotient is [tex]x^2-6x+4[/tex], and the remainder is zero (which indicates that x+2 is a factor of p(x)).
--
Edit: long division
We may also solve this problem using long division (see the second image). The first step is to look at the leading coefficients: since [tex]x \times x^2[/tex] is equal to [tex]x^3[/tex], the first term in the quotient will be [tex]x^2[/tex]. Since [tex]x^2 \times (x+2)[/tex] is equal to [tex]x^3+2x^2[/tex], we must now subtract that from [tex]x^3-4x^2-8x+8[/tex].
We repeat the same process, as shown in the image. Since we eventually get to zero, the remainder is zero, and the polynomial at the top (x^2-6x+4) is the quotient.
I know this might be difficult to follow, so please comment if you have any questions.
tell whether each point is on the graph of f(x)=|x|.If it is, give the coordinates of another point with the same y value.
1.(11,11)
2.(-2.3,-2.3)
3.(0,1)
4.(15,-15)
5.(-8,8)
6.(1,0)
The coordinates of that other point are: (5,5) . The x-coordinate gives us the distance of a point from the vertical axis, that is, the y-axis.
What is meant by coordinates?The x-coordinate gives us the distance of a point from the vertical axis, that is, the y-axis. Another name for the x-coordinate is abscissa. The y-coordinate indicates how far a point is from the x-axis, or the horizontal axis. The y-coordinate is also called the ordinate.
Notice that |x| means the absolute value of x. So, the function:
f(x) = IxI
takes x to the number with the same magnitude, but with a positive sign.
Thus,
f(-5) = I - 5I = 5
Therefore, the point (-5,5) is on the graph of f(x).
Now, we need to find another point with a y-value of 5.
Observe the graph of f(x):
Notice that another point with a y-value equal to 5 is (5, 5) because
f(5) = I5I = 5
Hence, the coordinates of that other point are: (5,5).
The complete question is : Tell whether the point (-5,5) is on the graph of f(x) = |x|. If it is, give the coordinates of another point with the same y-value.
To learn more about coordinates refer to:
https://brainly.com/question/11337174
#SPJ2
Mr. Weinstein gave his 4 children a total of $31.00 before they entered a video game arcade. If the children divided the money equally, how much money did each child get?
Answer:$7.75
Step-by-step explanation:
Consider the equations: y = 2x − 3 and y = −x + 6.
Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.
A) (0, −3)
B) (1, −1)
C) (2, 1)
D) (3, 3)
Answer:
D
Step-by-step explanation:
I got that but hopefully, I'm correct. But I'm 100% sure its d
Pls!!
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for x .)
1.5 yards
1.73 yards
3 yards
4.5 yards
58 x 64 is the same as:
(64 x 50) + (64 x )
What number goes in the space?
help please
Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?
Answer:
I believe the answer is C. 90 degrees
Step-by-step explanation:
First you find the lengths of the two vectors, which are both [tex]\sqrt{2}[/tex]. Then you find the angle given the cos using: cos(∅)=[tex]\frac{u*v}{|u|*|v|}[/tex] = [tex]\frac{0}{\sqrt{2}*\sqrt{2} }[/tex] = 0. Then using ∅=acos(0)=[tex]\frac{\pi }{2}[/tex] = 90°
Answer:
c
Step-by-step explanation:
edge
Three pounds of bananas weigh $1.89. How much is it for 5 lbs of bananas
Answer:
The correct answer is $3.15
Step-by-step explanation:
To find the answer you do $1.89 divided by 3 to find the unit rate,which is 63 cents. Then you do 5 times 63 cents to equal $3.15.
HAVE A GOOD DAY!
You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?
Answer:
132 gStep-by-step explanation:
Initial amount = 2112 gTime = 188 daysHalf-life = 47 days188 days / 47 days = 4 periods
Mercury left after 188 days:
2112 * (1/2)^4 = 2112* 1/16 =2112/16 =132 g2. Write the algebraic phrases that correspond to the following word phrases: (a) The sum of four times the opposite of a number and - 5 (b) The product of 5 and the sum of 3 times a number and 4
Answer:
would not be helpful to anser nowww... sory!
Step-by-step explanation:
Anna and Elsa are helping set up for the Christmas celebration at Magic Kingdom. They have to install 7 million lights for the annual display. It takes Elsa 14 days to set up the 7 million lights by herself and it takes Anna 11 days to set up the 7 million lights by herself. How long will it take them to do it together?
Answer:
If they work together, they will take 6.16 days.
Step-by-step explanation:
Elsa takes 14 days to complete the work.
So, 1 day work by Elsa is [tex]\frac{1}{14}[/tex]
Anna takes 11 days to complete the work.
So, 1 day work by Anna is [tex]\frac{1}{11}[/tex].
So, Let if they work together, it would take x number of days.
So, we can set up equation as
[tex]\frac{1}{14} +\frac{1}{11}=\frac{1}{x}[/tex]
Find LCD, which is 154.
[tex]\frac{11}{154} +\frac{14}{154} =\frac{1}{x}[/tex]
Simplify
[tex]\frac{25}{154} =\frac{1}{x}[/tex]
Cross multiply,
25x=154
Divide both sides by 25
x=6.16 days
If they work together, they will take 6.16 days.
The coordinate points below show part of the data collected by the cell phone company, where x is age in years and y is texting speed in words per minute. (12, 16), (13, 18), (13, 10), (14, 16), (15, 9), (15, 8), (16, 17), (17, 23) If this data was plotted on a scatterplot, would there be a relationship between the variables? If yes, explain the relationship.
Answer:
No, there is no clear relationship between age and texting speed.
Step-by-step explanation:
i already did it
Answer:
D
Step-by-step explanation:
i took the test, and the answer is right
Professor Walter precisa pintar uma quadra, que tem o formato retangular, cujo comprimento é de 45 m por 38 m. Para isso ele vai comprar baldes de tinta em uma loja de construção. Sabendo que com cada balde de tinta ele conseguirá pintar 72 m² de piso, quantos baldes de tinta ele precisará comprar
Answer:
24 buckets
Step-by-step explanation:
Given that :
Dimension of rectangular block = 45 m by 38 m
A bucket of paint will cover 72m² of floor
Total area of floor : Length * Width
Total Area = (45m * 38m) = 1710 m²
Buckets of paint required :
Total area / Area per bucket
= 1710m² / 72m²
= 23.75 buckets
= 24 buckets
Find DE
13x-37
2x+13
Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = [tex]\frac{1}{2}\text{AB}[/tex]
(2x + 13) = [tex]\frac{1}{2}(13x-37)[/tex]
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
please help i’ll give brainliest please tysm :))
Answer:
130
Step-by-step explanation:
2/2 = 1
26/2 = 13
10 x 13 = 130
hope this helps plz mark me brainliest =)))))))
Answer: 130
Step-by-step explanation:
Ten is the half of 20
So it must be the same thing on the other side. So it is 130
Pls mark me brainliest
Solve the equation. Show work on scratch paper. 20=10+2(x−4)
Answer:
x = 9
Step-by-step explanation:
20 = 10 +2(x - 4)
10 + 2(x -4) = 20 {Use distributive property}
10 + 2x - 2*4 = 20
10 + 2x - 8 = 20 {add like terms}
2x + 2 = 20
2x = 20 - 2
2x = 18
x = 18/2
x = 9
Please give the explanation for all three parts. Will provide brainly. No fakes or will get reported. Thanks
Why is ADEC a trapezoid?
A trapezoid is a quadrilateral with one pair of parallel sides. Since D and E are midpoints, it would be parallel to AC. AD and EC are not parallel since they cross each other at point B.
(I couldn't read the last part of the second question :( )
I need help with this 70―10=―10+40
Answer:
I got 90
Please correct me If I am wrong Please and Thank You
Step-by-step explanation:
Combine like terms 70 and 10 which will be 60
and Combine like terms and you get 30
Then you add 60+30= 90
Answer: 60=30
Step-by-step explanation:
70-10= -40=10
60 = 30
does the point (1,4) satisfy the equation y=x
Brianna spent $15.00fot 6 two-litter sodas for a football game this weekend. What is the number of soda bottles that could be bought for $55.00
Answer:
22
Step-by-step explanation:
1. Divide $15 by 6 first to get the unit price per bottle.
$15/6= $2.50
2. Now divide the new dollar amount by the unit price.
$55.00/2.50 = 22
Which of the following statements must be true about this diagram? Check
all that apply
A. W>y
B. y+z=w
C. X+ y = z
D. z>x
E.w>x
F.x+y=w
THIS IS STATEMENT AND REASON PLSS HELP!
Answer:
Line FH is the same as FK
Step-by-step explanation:
The triangle on the left is the same on the right, but inverted. This is proved because lines eh equals gk and angle e and g are the same.
Answer:
line fh is the same as fk
Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
2 cups of peanut butter
Step-by-step explanation:
Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
From the above question:
1/2 cup of oil = 1 cup of peanut butter
1 cup of oil = x
Cross Multiply
1/2x = 1 × 1
x = 1 ÷ 1/2
x = 1 × 2/1
x = 2 cups of peanut butter.
Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
ASAP
Solve the following equation by graphing each line below.
a) 2x+3=-x+9
b) Where do the two lines intersect? Write your answere in the form (x,y)
Answer:
x=2
Step-by-step explanation:
2x+x+3=9
2x+x=9-3
3x=9-3
3x=6
x=2
Answer:
a) 2x + 3 = -x + 9
or, 3x = 6
# x = 2 since there is no y in the equation the value of y could be 0.
b) it intersects at ( 2, 0 )
Step-by-step explanation:
ANSWER WHAT YOU CAN NEED THEM ASAP PLZ
Answer:
1. KJL=55 JLK=55 JKL=70
2. x=12 (you can just plug X in and get the angle measures they will all equal 180 alltogether)
3. x=2
4. x=7
5. 23 degrees
6. i dont remember how to do i sorry
7. 20
8. 45 degrees
9. i dont know
10. 120 degrees
11. cant see the picture
What is the slope?
(4,10) (5,13)
MAX is equiangular. m
Answer:
x = 8
Step-by-step explanation:
If equiangular, than all angles are equal
Thus, we have that;
7x + 4 = 12x-36
12x-7x = 36 + 4
5x = 40
x = 40/5
x= 8
A group of 5 friends ate lunch at a restaurant. The bill came to $42 and the friends agreed to split it equally. Which expression represents the number of dollars each person paid?
A.
42−5
B.
425
C.
5×42
D.
542
Answer:
c would be the right and its the best answer
Can you help me solve this