Answer: g(x)-f(x)=-x³-3x-3
Step-by-step explanation:
Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).
x-3-(x³+4x) [distribute -1]
x-3-x³-4x [combine like terms]
-3-x³-3x [rewrite]
-x³-3x-3
Now, we know that g(x)-f(x)=-x³-3x-3.
what is the area of this triangle? and can you give me the equation on how to solve it? thank you!
A car rental agency advertised renting a car for $26.95 per day and $0.24 per mile. If Kevin rents this car for 3 days, how many whole miles can he drive on a $250 budget?
miles (Round down to the nearest whole mile.)
Answer: 26.95 * 3 = 80.85
250/0.24 = 60
d= V(x2 – x1)2 + (y2 – yy)2
Answer:
y = 2
Step-by-step explanation: divided both from each side
A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure issues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)
Answer:
See below
Step-by-step explanation:
Given:
f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7Combination of domain for the function is the following union:
(-9, 2]∪ (-2, 1]∪(1, 7) = (-9, 7)Group of answer choices:
The domain is the depth interval (−26, 1).
incorrect as (-26, -9) interval is not covered in given functionThe domain is the depth interval (−9, 1].
incomplete rangeThe domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.
incorrect as doesn't include x = -2 and x = 1The domain is the time interval (−9, 7).
This is correct as it is same with the domain set we got above.What is the vertex of the graph of y = 1/4 (x - 2)^2+ 6?
(0,7)
(4,7)
(2,6)
(-2,-6)
Answer:
focus | (2, 7)
vertex | (2, 6)
semi-axis length | 1
focal parameter | 2
eccentricity | 1
directrix | y = 5
Step-by-step explanation:
what is the capital of poland?
Answer:
Warsaw is capital of poland
Answer:
Warszawa
Step-by-step explanation:
Please help I'm stuck
Answer:
I'm stuck to.
Step-by-step explanation:
is there suppose to be an angle or a triangle?
An object is translated by (x - 2; y- 6). If one point in the pre-image has the coordinates (-3, 7), what would be the
coordinates of its image?
(-5,1)
(-1, 13)
(-1,7)
(-9,5)
Answer:
(-5,1) would be the coordinates of its image
Answer:
(5,1)
Step-by-step explanation:
hope this helps
A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 180 m. Find an equation for the tower. (Assume the position of the hyperboloid is such that the center is at the origin with its axis along the z-axis, and the minimum diameter at the center.)
Answer:
(x/90)² + (y/90)² - z²/343750
Step-by-step explanation:
we assume that the horizontal cross-sections are circles,
From our equation
a= b
Given the minimum diameter as 180
The trace= ,0
Minimum radius a= 180/2= 90
The base of the tower is the trace in Z = -500
using the equation of hyperbole of one sheet below
(x/a)² + (y/b)² - ( (z/c)²=1
a= 90
+((-500)²/c)²
x² +y²=90²+ 55000²/c²
diameter at base= 260/2=130m
130² + 55000²/c²= 130²
We can find c
c²=55000²/(130²/90²) = 1210000/8800
= 343750
hence, the equation is
(x/90)² + (y/90)² - z²/343750
Find the midpoint of the segment with the given endpoints. (8, 0) and (- 10, 4)
Answer:
(-1, 2)
Step-by-step explanation:
The midpoint coordinates are the average of the end point coordinates:
M = (A +B)/2
M = ((8, 0) +(-10, 4))/2 = (8-10, 0+4)/2 = (-1, 2)
The midpoint is (-1, 2).
Phyllis, Kelly, Erin, and Renee bought a gift for their dance instructor. The total cost of the gift, 1 including tax, was $55.80. Erin paid $14, Kelly paid of the cost, Renee paid 25% of the cost, and Phyllis paid the remaining cost. What amount did Phyllis pay? $41.80
Answer:27.85
divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price
Solve the equation for y in terms of x
12x + 3y = 12
Answer:
y = 4 - 4x
Step-by-step explanation:
Step 1: Write equation
12x + 3y = 12
Step 2: Subtract 12x on both sides
3y = 12 - 12x
Step 3: Divide both sides by 3
y = 4 - 4x
Answer:
12x + 3y = 12
3y=12-12x
y=(12-12x)/3=3(4-4x)/3=4-4x
I am an odd number.my digits add up to 7. i am bigger than 50 and smaller than 100.who am i?
Answer:
61
Step-by-step explanation:
i hope this is correct lol
plz help me with these two questions ( show work plz)
Step-by-step explanation:
3. 7 = -2y + 4
2y = 4 - 7
2y = -3
y = -1.5
5. -3x - 2 = -17
17 - 2 = 3x
15 = 3x
3x = 15
x = 15/3
x = 5
Heidi Muir, a sporting goods wholesaler, purchased goods from a supplier for $3,400. The
supplier offers a 3% discount if the invoice is paid within 10 days; if not paid within 10 days, the
full amount must be paid within 30 days of the invoice date. Use the formula to find the annual
rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount
period
Answer:
56.44%
Step-by-step explanation:
From the question, we have the following values
% Discount = 3%
Full allowed payment days = 30 days
Discount days = 10 days
1 year = 365 days
The formula for Effective Annual rate or Annual rate in effect =
Discount %/(1-Discount %) x (365 days/(Full allowed payment days - Discount days))
= 3%/(1 - 3%) × (365 days/30 days - 10 days)
= 0.03/(1 - 0.03) × (365/20)
= 0.03/0.97 × (365/20)
= 0.5644329897
Converting to percentage
0.5644329897 × 100
= 56.44329897%
Approximately = 56.44%
Therefore, the annual rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount period is 56.44%
Ten less than 3 times a number is the same as the number plus 4.
Step-by-step explanation:
10 - 3x = x-4
Collect like terms
10 +4 = x + 3x
14 = 4x
Divide both sides by 4
X = 14
4
= 7
2
= 6 1
2
Or
= 6.5
11-3(a-2)=27 I NEED TO SHOW WORK HELP
Answer:
3.3 recurring
Step-by-step explanation:
1) expand bracket
11-3a+6=27
2)rearrange equation
11+6=27+3a
11+6-27=3a
17-27=3a
-10=3a
-10/3=a
a=3.3 recurring
Answer:
a= - [tex]\frac{10}{3}[/tex] or -3.33
Step-by-step explanation:
[tex]11-3(a-2)=27[/tex]
subtract 11 on both sides; 27-11=16
[tex]-3(a-2)=16[/tex]
divide both sides by -3
[tex](a-2)=-\frac{16}{3}[/tex]
add 2 on both sides
[tex]a=-\frac{16}{3} +2[/tex]
a=[tex]-\frac{10}{3}[/tex]
matt and craig run into each other at the batting cages they wonder why they didn't see each other more often since they have practices there regularly matts coach takes him there every 7 days and craigs teacher takes him there every 4 when will they see each other again
2. Construct the perpendicular bisector of CD. Label the intersection of CD and the perpendicular
bisector point M. (5 points)
From c to d line
I need help fast
Answer:
Step-by-step explanation:
A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.
To bisect CD, draw CD to the required length.
Open the compass to a radius greater than the the middle of CD.
With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.
Join the point of intersection of the two arcs by a line.
Label the point where the bisector passes through CD as M.
The construction would be as what is attached to this answer.
what is the solution to 8t+5= 6t+1 ?
(variables on both sides
Answer:
8t+5=6t+1
2t+5=1
2t=-4
t=-2
Step-by-step explanation:
if x=3 and y= 2 cm what is the perimeter of the plygon
Answer:
where is the image then i will comment the ansewr thanks
Step-by-step explanation:
Answer:
99
Hope this helps you guys!
∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.
(show work please)
Answer:
156
Step-by-step explanation:
Since, ∠CAT and ∠TAD is a linear pair.
Therefore,
∠CAT + ∠TAD = 180°
14° + (x + 10)° = 180°
(x + 24)° = 180°
x + 24 = 180
x = 180 - 24
x = 156
0.2, 0.19, 3/5
Greatest to least
Answer:
3/5 , .2, .19
Step-by-step explanation:
.2= 20/100
.19 = .19/100
3/5 = .6= 60/100
This table displays the height of water as a pool is being Use the table to interpret the rate of change.
filled.
What is the change for each consecutive input?
Time (min)
Height
(in.)
What is the change for each consecutive output?
10
3.75
What is the rate of change for the relationship?
11
4.1
VVU
ለለለ
12
4.45
13
4.8
Answer: the first one is 1 the second and third is 0.35
Step-by-step explanation:
I jus guessed and got it right someone else has to explain sorry
Answer: 1.) 1
2.) 0.35
3.) 0.35
Step-by-step explanation:
Shawn is starting a woodworking project for which he needs a large number of 2x4s. He plans to buy 2x4s that are 6 feet in length and cut them into the following sizes: eight pieces that are 12.5 inches long • six pieces that are 8.75 inches long • nine pieces that are 6.25 inches long Note: A 2x4 ("two by four") is a rectangular piece of wood that is two Inches high and four inches wide, as shown in the picture. It can have varying lengths. The 2x4s that Shawn is buying have a length of 6 feet, or 72 inches. 6' or 72" 2" 4" Find the most efficient way for Shawn to cut these pieces. In other words, what is the fewest number of boards he can cut from? Describe for Shawn the most efficient way to cut his boards. You may include a diagram if you wish.
Answer:
The fewest amount number of boards Shawn can cut from is 3.... Im not very sure... Ive been stuck on this answer, too
-19a = -174.8
Solve equation
Answer: a = 9.2
Step-by-step explanation: -174.8/-19 = 9.2
Answer:
21
Step-by-step explanation:
21
3x 40° to Sum of angle measures: 180°
Answer:
yes
Step-by-step explanation:
2(x + 3) – 10 = 4x
Can you also explain please. Thanks
Answer:
x=-2
Step-by-step explanation:
2(x+3)-10=4x
2x+6-10=4x
6-10=2x
-4=2x
-2=x
Answer:
x = -2
Step-by-step explanation:
First distribute the 2 with x and 3
Equation should look like... 2x + 6 - 10 = 4x
Second combine like terms, 6 and -10
Equation should look like... 2x - 4 = 4x
Third bring 2x to the other side making it -2x and subtract it from 4x
Equation should look like... -4 = 2x
Last divide -4 and 2.
Equation should look like... x = -2
simply: -2 1/3 - (-10 1/6)
Answer: 7.83
Step-by-step explanation:
Answer:
−8/3≈−2.666666667
Step-by-step explanation:
-2 1/3 - (-10 1/6)
Multiply −2 times 2/1=0.5.
−1−10×( 1/6 )≈−2.666666667
Multiply 10 and 1/6≈0.166666667 to get 10/6≈1.666666667
−1− 10/6 ≈−2.666666667
Reduce the fraction 10/6 ≈1.666666667 to lowest terms by extracting and canceling out 2.
−1−5/3 ≈−2.666666667
Convert −1 to fraction −3/3 =−1.
− 3/3−5/3≈−2.666666667
Since −3/3 =−1 and 5/3 ≈1.666666667 have the same denominator, subtract them by subtracting their numerators.
−3−5/3 ≈−2.666666667
Subtract 5 from −3 to get −8.
-8/3=−2.666666667
A rule of thumb for estimating the size of a crowd is that 2 people take up
5 square feet. If a club has a dance floor that is 30 x 20 feet, how many
people could crowd onto the floor?
Answer:
120 people
Step-by-step explanation:
Length of dance floor = 30 ft
Width of dance floor = 20 ft
Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:
= Area of dance floor ÷ 5 ft²
= (30*20) ÷ 5
= 600 ÷ 5
= 120.
120 people will crowd the dance floor.