Answer:
Step-by-step explanation:
amount of decrease is $15 - $10 = $5
as a percentage of the original price
100($5/$15) = 33⅓ %
PLS HELP FAST!!
During a snowstorm, Lucy tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 5 hours and then started again at a constant rate of 1 inch per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Lucy collected.
One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.
Answer:
x-intercept(s): (−1.9900717, 0)
y-intercept(s): (0, 52.5)
Step-by-step explanation:
To find the x-intercept, substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex]. To find the y-intercept, substitute in [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .
[tex]f(x)=y[/tex]
[tex](x)=x[/tex]
x-intercept
To find the x-intercept(s), substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex] .
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]
[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]
[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]
[tex]=0=10x^3-80x^2+65x+525[/tex]
[tex]=10x^3-80x^2+65x+525=0[/tex]
[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]
[tex]\bold{x\approx \:-1.99007\dots}[/tex]
y-intercept
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]
[tex]=y=0-0+0-\left(-52.5\right)[/tex]
[tex]=0-0+0+52.5[/tex]
[tex]\bold{y=52.5}[/tex]
Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?
NO LINKS!
Answer:
y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from homeStep-by-step explanation:
a) Let t represent the clock time (hours after midnight). The distance from home will be ...
distance = speed × time
jonah = 40(t -7)
jesse = 50(t -10)
jonah = jesse . . . . . . . same distance from home at the same time
(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)
__
b) substituting the first two equations into the second, we get ...
40(t -7) = 50(t -10)
4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses
22 = t
Jonah and Jesse will be at the same place at 10 p.m.
__
c) We can find the distance by substituting into either equation.
jonah = 40(22 -7) = 40(15) = 600
They will be 600 miles from home at that time.
the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost
Answer:
0.75p=c
Step-by-step explanation:
Sammy factored the polynomial x2 + x - 6. She came up with the factors of
(x-3) and (x-2). Describe and correct the error.
Answer:
(x+3) and (x-2) are the correct factors
Step-by-step explanation:
If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.
let f(x)=3x^2-6x+5 what is the leading coefficient
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.
Help me please I don’t wanna fair math
Step-by-step explanation:
To find the equation you must first find the gradient and also look for the points on the graph.
I see point ( 0, 2) and point (4, 1)
Hence first find the gradient before equation
the gradient = y2-y1/x2-x1
y2 = 1
y1 = 2
x2 = 4
X1 =0
if you put in the values it will look like
1-2/4-0
-1/4
the gradient = -1/4
So for the equation the formula is
remember m is the gradient
y - y1 = m ( x - x1 )
so put in the value from only one point so you can choose either (0,2 ) or (4,1 )
I will go with (4, 1)
y - y1 = m ( x - x1 )
y - 1 = m ( x - 4 )
y -1 = -1/4 ( x - 4)
4 ( y-1) = -1(x-4)
4y- 4 = -1x +4
4y - 4 -4 = -1x
4y -8= -1x
4y + 1x -8 = 0
this is the equation.
thanks and good luck.
5-x=3
Work out the value of 3x2
Answer:
No
Step-by-step explanation:
5-X=3
X=5+3
X=8
5-8=3
Make x the subject of the formula
t=
[tex] \sqrt{2(x - ut) \div a}[/tex]
[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Help help math math math
Answer:
x = 16
Step-by-step explanation:
The two marked angles are supplementary:
(7x -2) +(4x +6) = 180
11x +4 = 180
11x = 176
x = 176/11 = 16
The value of x is 16.
_____
Additional comment
The angle on the left is 110°; the one on the right is 70°, so that answer checks.
These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.
Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.
Answer: x=1 6
Step-by-step explanation:
A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?
Find the number of meters a speed skater and a cheetah travel in 1 second.
A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.
using guassion elimination metheed x+2y-3y=11,3x+2y+z=1, 2x+y-5z=11
[tex] \frac{8}{20} < > = \frac{7}{13} [/tex]
Compare these factions
Answer:
<
Step-by-step explanation:
Good Question!
8/20=4/10=2/5=0.4
7/13= lcm of 5 and 13 is 75.
26/75 [<] 35/75
:)
Answer: < less than
Step-by-step explanation:
1. Find LCM of 20 and 13.
20: 20,40,60,80,100,120,140,160,180,200,220,240,260,280
13: 13, 26, 39, 52, 65, 78, 91, 104, 107, 110 ...... 234, 247, 260
The LCM is 260.
2. 20*13 = 260 13*20=260
therefore we need to multiply the numerator by those 13 and 20.
8*13 = 104 7*20 = 140
3. compare Fractions:
(104/260) < (140/260)
Using the following image, solve the problems below given that M is the midpoint of VW.
If you are using a screen-reader, please consult your instructor for assistance.Using your setup, what are the values of x, VM, MW, and VW?
The midpoint of a line segment divides the line segment into equal halves.
The value of x is 4The value of VM and MW is 15The value of VW is 30Point M is the midpoint of line segment VW.
So, we have:
[tex]VM = MW[/tex]
Substitute known values
[tex]4x - 1= 3x+3[/tex]
Collect like terms
[tex]4x - 3x = 1 + 3[/tex]
Evaluate like terms
[tex]x = 4[/tex]
Hence, the value of x is 4
The expression for VM is:
[tex]VM = 4x - 1[/tex]
So, we have:
[tex]VM = 4(4) - 1[/tex]
[tex]VM = 15[/tex]
Hence, the value of VM and MW is 15
The length of VW is the sum of both lengths.
So, we have:
[tex]VW = 15 + 15[/tex]
[tex]VW = 30[/tex]
Hence, the value of VW is 30
Read more about midpoints at
https://brainly.com/question/18315903
The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markup
is 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you?
Answer:
$85.50
Step-by-step explanation:
57 x 1.5 = 85.5
Salaar, Waleed and Muazzam share $ 256. Waleed;s share is four times as much as Salaar. And Salaar's share is one-third of muazzam's. How much is each of their share?
Answer:
S 32, W 128, M 96
Step-by-step explanation:
W = 4S
S = 1/3M, or 3S = M
S + W + M = 256
Substitute
S + 4S + 3S = 256
8S = 256, S = 32
S = 32
W = 4S = 128
M = 3S = 96
Please help………………………
Answer:
= 180
y = 34
is the answer
Mrs. Baca uses a phone card to call a relative in Colombia, It cost her 45 cents to talk for 15 minutes. Choose True or False for each statement.
A. For 45 cents, Mrs. Baca can talk for 3 minutes. True or False.
B. The call rate is 3 cents per minute. True or False.
C. The call rate can represent by the ratio 445:15. True or False.
D. Divide 75 by 15 to find the number of minutes Mrs. Baca can talk. True or False.
Answer:
A: False
B: True
C: False
D: False
Hope This Helps!!!
One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?
Which of the following is a rational number? (5 points)
22, 23, 24, 25
оа
22
Oь
V24
d
25
Answer:
d. √25 is a rational number
Need help asap please !!!
Which coast less per bag 18 tea bags for 2.70 or 64 tea bags for 9.28
Answer:
64 tea bags for 9.28
Step-by-step explanation:
Draco runs a rate of 8 miles in 2.5 hours, how
fast does Draco run?
3.2 mile per hour
8/ 3.2
if the telephone was invented in 1876 how old was it in 1991 how long had it been around
Answer:
115 Years Old
Step-by-step explanation:
1991-1876 = 115
Helppppppppppppp helppppppppppppp
Answer:
Should be the first answer, x=5
Step-by-step explanation:
This would flip the graph and the square would land on top of where it currently is.
How do I subtract fractions? Please explain step by step to get marked as brainliest
Answer: Here I hope this helps!
Step-by-step explanation:
For example lets work with this fraction
[tex]\frac{6}{5} -\frac{3}{7}[/tex]
First you need to find a common denominator. (The number at the bottom of the fraction always.)
Multiply until you get a number both denominators go into.
For this it would be 35.
[tex]\frac{6}{5} -\frac{3}{7}[/tex]
5x7=35 7x5=35
You then have to do the same to the top as you did the bottom.
So multiply your numerators (number at the top) the same number as you did to the denominator below it.
[tex]\frac{6}{5} -\frac{3}{7}[/tex]
So 6x7=42.
And 3x5=15
You then subtract the numerators.
42-15=27
So now you have [tex]\frac{27}{35}[/tex]
[tex]\frac{6}{5} -\frac{3}{7}[/tex] =[tex]\frac{27}{35}[/tex]
Hope this helps! Have a great day!!
What is the answer to y=-2(-3/2)-9
Answer:
-6
Step-by-step explanation:
y = -2 x -3/2 - 9
3 - 9 = -6
Hey there!
y= -2 (-3/2) - 9
-2(-3/2) = [3]
y = 3 - 9
y = -6
Therefore, your answer is: y = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Complete the table for this equation. y=x+6
Answer:
Step-by-step explanation:
What is the Domain and Range of the relation shown in the table? x y 8 -4 6 -2 4 3 2 6
Answer:domain: {2,3,4,7} range: {0, 5, 9, 32}
Step-by-step explanation:
The domain is the set of all the values of x x . The range is the set of all the values of y y .