Answer:
Step-by-step explanation:
Find the option below:
h(x) = –2x2 – 13x + 6
h(x) = –2x2 – x + 3
Reservoir A releases less water than Reservoir B over 1 week.
Reservoir A releases the same amount of water as Reservoir B over 1 week.
Reservoir A releases more water than Reservoir B over 1 week.
Given the expressions
Reservoir A f(x) = x^2 – 7x + 5
Reservoir B g(x) = 3x^2 – 6x+2
We are to find the f=difference between the functions h(x) = f(x)-g(x)
Substitute
h(x) = x^2 – 7x + 5 -(3x^2 – 6x+2)
h(x) = x^2 – 7x + 5 -3x^2 +6x-2
collect like terms
h(x) = x^2 -3x^2 +6x– 7x+ 5-2
h(x)= -2x^2-x+3
Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)
h(x)= -2x^2-x+3
h(1)= -2(1)^2-1+3
h(1)= -2-1+3
h(x)= -3+3
h(x)= 0
This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week
Answer:
a,c,b
Step-by-step explanation:
i took the test
Can someone send me the answer to the question in the photo? (with solutions)
Answer:
This is so easy question .
I can do.
What is the domain and range of this graph? You can write your answer using words or mathematical notation
Answer:
The domain of the graph is (-infinity, infinity)
The range of the graph is [0, infinity)
Please mark as helpful if this is helpful!
Thanks
z=m-a-b, for a PLS ASAP
Answer:
a=m-b-z
Step-by-step explanation:
Answer:
a = -z + m -b
Step-by-step explanation:
Sorry my handwriting is a bit messy, but hopefully it helps. Have a great day!
READ THE END! PLEASE HELP! OK, will mark best straight answer with brainiest (with explanation) URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height? [ Also, if its 17.5 please explain what happened to 180 & 160!!! ]
Answer:
Both castles will have the same height at 3.33 minutes
Step-by-step explanation:
This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.
Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:
[tex]H_J=180-8t[/tex]
Where t is the time expressed in minutes.
Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:
[tex]H_T=160-2t[/tex]
To find when both castles have the same height, we set:
[tex]180-8t=160-2t[/tex]
Simplifying:
6t=20
Solving:
t=20/6=3.33\ minutes
Both castles will have the same height at 3.33 minutes
Water level in a well was 20m below ground level. During rainy season, rainwater collected in different water tanks was drained into the well and the water level rise 5 m above the previous level. The wall of the well is 1m 20cm high and a pulley affixed at a height of 80 cm. Raghu wants to draw water from the well. Find the minimum length of the rope that he can use.
Answer:
17 m
Step-by-step explanation:
As shown in the figure, [tex]A_0-B_0[/tex] is the ground level, [tex]A_1-B_1[/tex] is the old level of water which was at 20 m below ground level, [tex]A_2-B_2[/tex] is the new level of water which is 5m above of old level. The height of wall of the well, 1.20 m, and the the pelly at 80 cm =0.80 m, has been shown too.
The minimum length of the rope is equal to the distance between the pully and the new water level, indicated by the length [tex]L_0[/tex] in the figure.
So, [tex]L_0= 20-5+1.20+0.80= 17m[/tex]
Hence, Raghu must use a rope having the minimum length 17 m to draw water from the well.
2/5(10x+25)
Simplify
Brainly
Answer:
4x+10
Step-by-step explanation:
Complete the sentence about the relation. There is x and y columns. The x column contains two, eight, thirty, and forty six values. The y column contains minus one, nine, and sixteen values. The first arrow starting from value two of column x and ended at the value minus one in column y. The second arrow started from value eight of column x and ended at sixteen in column y. The third arrow starting from value thirty of column x and ended at value nine in column y. The forth arrow starting from point forty six and ended at value sixteen in column y. The domain of the relation is Choose... and the range is Choose... .
Answer:
Domain is [tex]\{2,8,30,46\}[/tex]
Range is [tex]\{-1,9,16\}[/tex]
Step-by-step explanation:
The relation refers to the collection of ordered pairs, which contains an element from one set to another set.
Domain of a relation [tex]y=f(x)[/tex] is all the values [tex]x[/tex] that go into a function, and the range is a set of all the values [tex]f(x)[/tex] that are obtained for the given domain.
The given relation is [tex]\{(2,-1),(8,16),(30,9),(46,16)\}[/tex]
Here, domain is [tex]\{2,8,30,46\}[/tex]
Range is [tex]\{-1,9,16\}[/tex]
Can someone please help me I will really appreciate it .
Step-by-step explanation:
Hey there!
Here;
The given points are; (6,5) and (9,p).
Slope (m)= -4
Use slope formula;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex] - 4 = \frac{p - 5}{9 - 6} [/tex]
Simplify it to get answer.
[tex] - 4 = \frac{p - 5}{3} [/tex]
[tex] - 12 + 5 = p[/tex]
Therefore, p= -7.
Hope it helps...
Name the slope of a line parallel to y = -3x -2
graph linear equations
I'm confused on how to do this problem... How do you do this problem the correct way because I can't figure it out
What is the distance in coordinate units between 2+6i and -4+3i in the complex plane
Answer:
lafante
Step-by-step explanation:
Distance in co ordinate units is √27 .
Given,
2+6i and -4+3i in the complex plane
To get distance between these numbers we have to find modulus of their difference:
z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i
So, distance
d = |(-6 -3i)|
Finding the magnitude of the complex plane obtained ,
= √-6² + (-3i)²
=√27 .
Thus the distance between two complex plane is √27 .
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What is the answer?
2500/x+20
=2500/(48.59)+20
A chef earns $27 per year. She is paid every 2 weeks.
These are 26 pay periods per week?
How much does the chef
earns pay period.
Round to the neared cent
Answer:
1
Step-by-step explanation:
27 divided by 26.
how to change the fractions into equivalent fractions having the LCD 3/4
When Lucy left her house in the morning, her cell phone battery was partially charged. Lucy's phone lost battery life at a rate of 8% each hour and 3 hours after leaving her house, the battery had 16% remaining battery life. Write an equation for B , B, in terms of t , t, representing the charge remaining in Lucy's battery, as a percentage, t t hours after Lucy left her house.
Answer:
B = 40 - 8t
Step-by-step explanation:
Given that:
Rate at which battery life discharges = 8% per hour ;
Battery life left after 3 hours = 16%
t = hours after Lucy left hiuse
Equation B will be ;
Amount of charge before leaving home - (Discharge rate * number hours)
Amount of charge before leaving home :
Charge left after 3 hours + discharge rate * 3
16% + 8*3
16% + 24% = 40%
Hence,
B = 40 - 8t
Answer:
probably B = 40 - 8t
Step-by-step explanation:
the mean number of goals scored is 2.5.
the mean number of away goals scored is 1.8.
How many home and away games have been played in total?
Answer:
2 games.
Step-by-step explanation:
2.5 + 1.8 = 4
4 divided by 2 = 2
Total 32 games home and away games have been played.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
From the bar chart :
We can obtain the total number of goals scored :
Home goals (quarter 1 to quarter 4) :
= (9 + 6 + 8 + 7)
= 30
Away goals (quarter 1 to quarter 4) :
= (2 + 7 + 4 + 5)
= 18
Using the relation :
Mean goals scored = total goals scored / number of games played
Home games :
Mean goals = 2.5
Number of home games played = total goals scored / mean goals
= 30 / 2.5
= 22
Away games :
Mean goals = 1.8
Number of away games played = 18 / 1.8
= 10
Therefore, number of home and away games played in total = 22 + 10 = 32 games
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Plssssa HELP PROBLEM 1 :
Answer:
2,1 . 4,4 . 5,2
Step-by-step explanation:
Answer:
a' (2,1)
b'(4,4)
c'(5,2)
(x,y)→(x+1,y+4)
Step-by-step explanation:
So the <a'b'c' is <abc translated 1 unit to the right and 4 units up. Whenever it says to move to the right or the left it has to do with the x axis. When you move to the left its subtraction and when you move to the right you addition.
When ever is say to move up or down it has to do with the y-axis. when you move up its addition and when you move down its subtraction. Sooo since the question said to move it to the right and up theyre both going to be addition. Thats why in the translation theyre both addition sign.
Im really bad at explaining things but hope this helps:)
All of the following are reserved powers EXCEPT:
A.
establishing and maintaining schools
B.
regulating business within the state
C.
controlling Interstate and foreign trade
D.
establishing county and local governments
Please select the best answer from the choices provided
A
B
C
D
Answer:
The correct answer is C. controlling interstate and foreign trade
Based on the Constitution, all of the above are Reserved powers except, C. controlling Interstate and foreign trade
Reserved powers are those that are reserved for state governments and some of them are:
Establishing schools and maintaining them Regulating intra-state business Establishing local governmentsRegulating interstate and foreign trade is the responsibility of the federal government as it does so on behalf of all states in a joint manner.
In conclusion, regulating foreign and interstate trade is not a reserved power.
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The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer: 122°F
Step-by-step explanation:substitute 50°C anywhere in the formula that has the C
i need help can yall help
Answer:
360"
Step-by-step explanation:
Firstly, you need to be able to convert your feet to inches. Remember, one foot is equal to twelve inches. You multiply six inches by five feet and later multiply by twelve to convert to inches.
URGENT!!! DUE IN A FEW MINS!1!1 PLS HELP ASAP GUYS
hehe lol jk
thx 4 showing up anyway
if this were a real question, i know you guys would have my back :-)
i l o v e y o u <3 LSKDJIGEFHJUKJJLOL
Felipe has a flower bed with area 25/4 square feet. He expands the flower bed to have area 75/4 square feet. How many square feet of space does the larger flower bed have for every square foot of the smaller flower bed? Write your answer as a ratio (a:b) *
Answer: Required ratio= 3:1.
larger bed has 3 square feet of area of every 1 square feet on smaller bed.
Step-by-step explanation:
Given: Felipe has a flower bed with area [tex]\dfrac{25}4[/tex] square feet.
He expands the flower bed to have area [tex]\dfrac{75}4[/tex] square feet.
Now, area on larger flower bed for every square foot of the smaller flower bed = (area of larger bed) ÷ (area of smaller bed)
[tex]= \dfrac{75}{4}\div\dfrac{25}{4}=\dfrac{75}{4}\times\dfrac{4}{25}=\dfrac{3}{1}[/tex]
So, larger bed has 3 square feet of area of every 1 square feet on smaller bed.
Required ratio= 3:1.
A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. How many cups of cereal does the medium box contain?
-------Cups
Answer:
13 cups
Step-by-step explanation:
If the small box has 10 cups, then:
(small) 10 cups = 100%
(medium) x cups = 130%
Now, cross multiply:
10 (130) = x (100)
1300 = 100x
x = 13
Another way to solve this is by turning 30% into a decimal:
30/100 = 0.3
10 (0.3) = 3
Now you have 30% of the 10 cups, but you need 30% more than the small box, so:
10 + 3 = 13 cups
WILL GIVE BRAINLIEST IF CORRECT
Answer:
la respuesta correcta es laC
han ku po ammo paumahin
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180? (3 points)
a
$6.00
b
$9.80
c
$10.80
d
$18.60
Answer:
it is c $10.80
The sales tax on clothing that costs $180 is $10.80 with 6% sales tax. The correct answer is option c.
Given that:
The cost of cloth is $180.
Sales tax is 6%.
To calculate the sales tax on clothing that costs $180 at a rate of 6%, follow these steps:
Convert the sales tax rate to a decimal: 6% = 6/100 = 0.06
Sales tax can be calculated by using the formula given below:
Sales tax = Cost of clothing × Tax rate
Multiply the clothing cost by the sales tax rate to find the sales tax amount:
Sales tax = Cost of clothing × Tax rate
Sales tax = $180 × 0.06 = $10.80
Hence, the required value is $10.80. The correct answer is option c.
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There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47
Answer:
impossible you cant get one that is over 5 if it only goes to 5
Step-by-step explanation:
6248 divided by 38
Quotient:
Remainder:
Select the correct answer.
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
9514 1404 393
Answer:
C. y = 50x + 3.5
Step-by-step explanation:
100 miles in 2 hours is 100/2 = 50 miles per hour. Multiplying that rate by x hours gives the miles traveled in addition to the 3.5 miles so far. The appropriate equation for miles traveled is ...
y = 50x +3.5 . . . matches choice C
Answer:
Step-by-step explanation:
help me please :)))))
Answer:
p=2/3 mn
p/n=2/3 m(
(3)p/n=2/3(3)m
3p/n=2m
3p/2n=2m/2
3p/2n=m (letter B)
rotate the triangle through 180 degrees about the origin?
Answer:
Step-by-step explanation:
(1,1) ==> (-1,-1)
(4,2)==>(-4,-2)
(4,4)==> (-4,-4)
The triangle is shown below, after rotting 180 degrees about the origin.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
The coordinates of the vertices of triangle = (1, 2), (4, 2) and (4,4).
When the triangle is rotated through 180 degrees about the origin,
The sing of the vertices changes.
The sign will be changed as.
(1, 2) = (-1, -2)
(4, 2) = (-4, -2)
(4, 4) = (-4, -4)
The triangle after rotating 180 degrees show.
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