Answer:
0
Step-by-step explanation:
We have the two functions:
[tex]f(x)=\sqrt{x}+12\text{ and } g(x)=2\sqrt{x}[/tex]
And we want to find (f-g)(144).
This is the same thing to f(144)-g(144).
So, let’s determine the value of f(144) and g(144) first:
[tex]\begin{aligned} f(144)&=\sqrt{144}+12 \\ &=12+12 \\ &=24\end{aligned}[/tex]
And:
[tex]\begin{aligned} g(144)&=2\sqrt{144} \\ &=2(12) \\ &=24 \end{aligned}[/tex]
Hence:
[tex]\begin{aligned} (f-g)(144) &= f(144)-g(144) \\ &=24-24 \\ &=0 \end{aligned}[/tex]
Our final answer is 0.
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[tex](f - g)(x) = \sqrt{x} + 12 - 2 \sqrt{x} \\ [/tex]
[tex](f - g)(x) = - \sqrt{x} + 12[/tex]
[tex](f - g)(144) = - \sqrt{144} + 12[/tex]
[tex](f - g)(144) = - \sqrt{ {12}^{2} } + 12 [/tex]
[tex](f - g)(144) = - (12) + 12[/tex]
[tex](f - g)(144) = - 12 + 12[/tex]
[tex](f - g)(144) = 0[/tex]
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For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.
I'm not sure, but I think the formula is b^2-4ac>0
Answer:
m<1
Step-by-step explanation:
If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is
[tex]b^2-4ac>0\cdots(i)[/tex].
The given expression is [tex]x^2-2x+m[/tex].
Here, a=1, b=-2 and c=m.
So, by using equation (i),
[tex](-2)^2-4(1)(m)>0[/tex]
[tex]\Rightarrow 4-4m>0[/tex]
[tex]\Rightarrow 4m<4[/tex]
[tex]\Rightarrow m<4/4[/tex]
[tex]\Rightarrow m<1[/tex].
Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four years.
Answer:
6930 for Maya and James is 6912
Step-by-step explanation
1600x8%=128+1600=1728x4=6912 1650x5%=82.5 82.5+1650=1732.50 1732.5x4=6930
6930-6912=18
Maya has $18 more dollars then James
Answer:
Step-by-step explanation:
each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya.
Pleassssseeee help. I neeed help
Answer:
B.
Step-by-step explanation:
Took the test :}
if an item sells for $44.28 per kilograms, how many cents per ounce does the item cost? Round the answer to the nearest ten-thousandth place
Answer:
The item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms
Step-by-step explanation:
The sale price of item is $44.28 per kilograms. We need it to convert into cents per ounce.
We know that 1 dollar per kilogram = 2.83495 cents per ounce
So, 44.28 dollars per kilograms = 2.83495 * 44.28 cents per ounce
= 125.53159 cents per ounce
So, the item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms
Y'all please help me! Basically just match up the points with an equation.
write an equation of the line that passes through the given points.
1. (-3, 2) (5, -2) 2.(-2, -4) (0,-8) 3.(8, -10) (0,2) 4.(-5, 4) (-3, -4) 5.(5, 0) (-2, 4)
y=-4x-16 y=-3/2x+2 y=-2x-8 y=-1/2x+1/2 y=-4/7x+2 6/7
can somebody answer please.
Answer:
1. 2
2. 2/8 or 1/4 simplified
3. 5hrs
Hope I helped!
what is the experimental probability that a coin toss will result in two heads showing
what is the experimental probability that a coin toss will result in two tail showing
what is the experimental probability that a coin toss will result in one head and one tail showing
Answer:
50% if its one head and one tail. If it's two heads then it may be 25%
Step-by-step explanation:
PLSS HELPPPPPPPP HELPP ASP
Answer:
B
Step-by-step explanation:
has a ratio of 6 to 1
Answer:
B is the correct answer
Evaluate each value expression for the given valueof x: 20-3x, x=5
Answer:
= 5
Step-by-step explanation:
20 - 3(5)
20 - 15
= 5
PT2 To my last question!!!! please answer quickly
Answer:
3rd one
Step-by-step explanation:
Brainliest?
-3 x (10i+6)
Your answer should be a complex number in the form a + bi where a and b are real numbers.
The Answer is:
−30xi−18x, I really don't know what you are looking for but this is what i came up with. Hope this is helpful!
Please help this is due in 30 mins
Answer:
im pretty sure its c or rotation
Step-by-step explanation:
Factor - 3 out of
-9x + 12
plz help
Answer:
3x - 4
Step-by-step explanation:
-9x + 12
divide by -3
3x + (-4)
3x - 4
-9 ÷ -3 = 3
12 ÷ -3 = -4
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
In a proportional relationship when x=9 we know that y=15. Which of the following is the value of y when x=24?
(1) 30 (3) 48 (2) 40 (4) 54
Answer:
y=40
Step-by-step explanation:
x y
9 15
24 y
9/24=15/y
24*15=9y
360=9y
40=y
Therefore, 40 is correct.
If x and y are proportional, when x=24 we get y=40. Therefore, option (3) is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, in a proportional relationship when x=9 we know that y=15.
If x is directly varies to y we get
x∝y
x=ky
Now, 9=15k
k=9/15
k=3/5
So, equation is x=3/5y
When x=24, we get
24=3/5y
24×5=3y
y=40
Therefore, option (3) is the correct answer.
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There are 25 students in Ms. Nguyen’s second grade class. In the class election, 4 students Voted for Benjamin, 12 voted for Sahil, and 9 voted for Maria.
What percent of the class voted for Maria
Answer:
36%
Step-by-step explanation:
how to solve 2x^2-11x+12=0
Answer:
x= 3/2 and 4
Step-by-step explanation:
Use this method to solve;
First get the multiples of 12: -1, -12 -2, -6 -3, -4 (we use negatives, because we need a positive 12, and a negative 11).
Next, set it up like this: (2x - ) (x- ).
Then plug in (2x-3) and (x -4), and use rainbow to double check.
Then take 2x-3=0 and x -4 =0 to get x.
2x-3=0, add 3 to both sides, leaving you with 2x=3, then divide by 2 to get x alone which leaves x= 3/2, could use 1.5 or 1 (1/2) too.
Then do the same with x-4=0, add 4 to both sides leaving x= 4.
Answers are x= 3/2 and 4.
not trying to do my work right help
Answer: you are correct. The answer is the first option and if you don't believe me look at my explanation.
Step-by-step explanation: Since a ratio can also be written as a fraction, 3:12 = 3/12. So what you do is simplify 3/12 to get 1/4 which equals 1:4.
Pls help i can’t figure this out
Step-by-step explanation:
1°.2°.3°.4°.5°.6°.7°.8°.9°.10°.11°.12°.13°.14°.15°.16°.17°.18°.19°.20°.
PLEASE HELP! THANK YOU!!!
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[tex]3(x - 2) = 12[/tex]
[tex]x = 6[/tex]
_________________________________
[tex]6(x + 5) = 54[/tex]
[tex]x = 4[/tex]
_________________________________
[tex]3x + 5 = 32[/tex]
[tex]x = 9[/tex]
_________________________________
[tex]5(x + 7) = 45[/tex]
[tex]x = 2[/tex]
_________________________________
[tex]7x + 6 = 41[/tex]
[tex]x = 5[/tex]
_________________________________
[tex]2(x + 7) = 29[/tex]
[tex]x = 7.5[/tex]
_________________________________
[tex]4(x + 3) = 30[/tex]
[tex]x = 4.5[/tex]
_________________________________
[tex]5(x - 4) = 20[/tex]
[tex]x = 8[/tex]
_________________________________
[tex]3x - 10 = 23[/tex]
[tex]x = 11[/tex]
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Card A: x = 6
Card B: x = 4
Card C: x = 9
Card D: x = 2
Card E: x = 5
Card F: x = [tex]\frac{15}{2}[/tex]
Card G: x = [tex]\frac{9}{2}[/tex]
Card H: x = 8
Card I: x = 11
There you go bud. :')
You owe me for this lol.
When the arrow is spun, there are four possible numbers the arrow can land on: 1, 2, 3, and 4. The spinners are each spun once. What is the probabilty of an even number on the first spinner and a 3 on the second spinner?
Answer:
The probability is 1/8
Step-by-step explanation:
There are two spinners here, total result on each of the two is 4
Probability of even number of the first
The even numbers are 2 and 4
Probability of an even number is 2/4 = 1/2
For the second spinner
Probability of having a 3 on the second spinner is 1/4
So the probability of an even number on the first and a 3 on the second spinner will be;
1/2 * 1/4 = 1/8
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1,5) and (7,9).
Answer:
say where we meet ❤️
6. A farmer sows a certain crop. It costs $240,000 to buy the seed, prepare the ground, and sow the crop. In one year's time it will cost $93,200 to harvest the crop. If the crop will be worth $350,000, and the interest rate is 7%, what is the net present value (NPV) of this investment?
Answer:
$0
Step-by-step explanation:
Given that:
Preparation and sowing cost = $240,000
Cost of harvest after a year = $93,200
Worth of crop = $350,000
Interest rate (r) = 7% = 0.07
Net present value of Investment :
[(worth - Cost after 1 year) / (1 + r)] - initial investment cost
[(350,000 - 93,200) ÷ (1 + 0.07)] - 240,000
[256,800 / 1.07] - 240,000
$240,000 - $240,000
= $0
The equation y = 13x represents the rate, in gallons per minute, that Tank A at an aquarium fills with water. The table represents the rate that Tank B fills with water. Determine which tank fills faster.
Answer:
Tank A fills up faster.
Step-by-step explanation:
Tank A is y = 13x
Tank B is y = 11x
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4. Find the average rate of
change, from 20 to 80 in
the table below.
х
20
40
60
80
100
y
15
35
65
105
215
Answer:
20 x 80 = 160
15 x 105 = 1,575
Need help asap please!
Answer:
Step-by-step explanation:
-2/3x ≥ -x -2
-2/3x ≥ -x -2 +x
Simplify
1/3x ≥ -2
3 · 1/3x ≥ 3(-2)
x ≥ -6
I hope this is correct
In ARST, mZR = (5x – 11)", mZS = (3x – 3)°, and m_T = (3x + 18)º.
Find mZR.
Answer:
m∠R = 69
Step-by-step explanation:
m∠R + m∠S + m∠T = 180 {Angle sum property of triangle}
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x - 11 - 3 + 18 = 180 {Combine like terms}
11x +4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
m∠R = 5x - 11
= 5*16 - 11
= 80 - 11
m∠R = 69
SHOW YOUR WORK
43.01-2.75
Answer:
the answer is 40.26, you first subtract 2 to get 41.01 then subtract .75 to get 40.26, not exactly sure what work you want to be shown
Step-by-step explanation:
The yield of corn in bushels per acre and the amount of rain in the growing season.
Identify the explanatory variable and the response variable, if possible.
1. Amount of rain is the explanatory variable and yield of corn is the response variable.
2. Bushels per acre is the explanatory variable and amount of rain is the response variable.
3. Yield of corn is the explanatory variable and amount of rain is the response variable.
4. Amount of rain is the explanatory variable and bushels per acre is the response variable.
5. Rain is the explanatory variable and corn is the response variable.
Answer:
1. Amount of rain is the explanatory variable and yield of corn is the response variable.
Step-by-step explanation:
Explanatory Variable is the causal variable, which effects the other variable.
Response Variable is the resultant variable, which is effected by the other variable.
In this case, amount of rain effects the yield of corn (bushels per acre).
So, Amount of rain being causal effecting variable - is Explanatory Variable. Corn yield, being resultantly effected variable - is Response Variable.
At Escobar Middle School, 5% of sixth-grade students, which is 20 students, are enrolled in both art and choir. How many sixth-grade students are there in total
The total number of sixth-grade students at Escobar Middle School is 400 students
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the total number of students in sixth grade = x
5 % of sixth grade students is = 20 students
So ,
We need to calculate the total 100 % students in the sixth-grade
And ,
10 % of sixth-grade students = 2 x 5 % of sixth grade students
= 2 x 20 students
= 40 students
Now ,
100 % of sixth-grade students x = 10 x 10 % of sixth-grade students
= 10 x 40 students
= 400 students
Therefore , there are 400 students
Hence , the total number of sixth-grade students is 400 students
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Can someone pretty please help me and answer these questions??!?!!!?
Answer:
Step-by-step explanation:
you seee i would nut I need points right now I'm sorry