Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
the same applies to all other basic operations (like addition, multiplication, ...).
so,
(f-g)(x) = 4x² - 3 - (x + 1) = 4x² - 3 - x - 1 = 4x² - x - 4
Of the last 16 contestants on a game show, 12 qualified for the bonus round. Considering this data, how many of the next 12 contestants would you expect to qualify for the bonus round?
Answer:
9 contestants
Step-by-step explanation:
Out of the 16 contestants, 12 of them qualified for the bonus round.
This means, that 12/16, or 75% of the contestants qualified for the bonus round.
Out of the remaining 12 contestants, I would expect (75%)(12), or 9 contestants to qualify for the next bonus round.
Let me know if this helps!
Answer:The answer is 9
Step-by-step explanation:
12 of the 16 contestants on the game show qualified. That is 75% of the contestants. Applying this to the next 12, 12 contestants x 75% is 9 qualifying contestants.
The sum of two numbers is 24. Two times the first number minus the second number is 21
Step-by-step explanation:
x + y = 24
2x - y=21
I'm guessing the question was find both numbers.
3x = 35
x=15
3y = 27
y=9
A roller coaster starts out at a height of 100 feet. It
then drops 43 feet, loops around, drops another 29
feet and finally increases 10 feet to the exit platform.
a. Write an expression to represent this.
b. Then determine the altitude of the exit platform.
Step-by-step explanation:
a) x = 100 - 43 - 29 + 10
b) 100 - 43 = 57.
57 - 29 = 28.
28 + 10 = 38.
38 feet.
A town has a population of 141,300 and grows at a rate of 5% every year. Which equation represents the town’s population after 6 years?
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
An angle measuring (870n)° is in standard position. for which value of n will the terminal side fall on the y-axis? n = 3 n = 4 n = 5 n = 6
The value of n will the terminal side fall on the y-axis at n=3
The terminal side of an angle fall along the positive portion of the y-axis,
If it can written in the form of [tex](90^0)a[/tex]
Where a = positive odd integer,
We hyave given the given angle is,
[tex](870n)^0,[/tex]
What is terminal side?The terminal side of an angle theta drawn in angle standard position is the side which isn't the initial side
Now for n=3
[tex](870(3))^0=2610^0[/tex]
The angle will be 2610°
Its terminal side fall along the positive portion of the y-axis,
[tex]2610^0 = (90^0)a \implies a = 29[/tex]......( Positive odd integer )
Therefore for n = 3, the terminal side of the angle (870n)° falls along the positive portion of the y-axis,
For n = 4,
Our angle will be 3480°
Its terminal side fall along the positive portion of the y-axis,
[tex]3480^0 = (90^0)a \implies a = 38.6667 ( Not possible )[/tex]
Therefore for n = 4, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis
Next is for n = 5,
Our angle will be 4350°
Its terminal side fall along the positive portion of the y-axis,
[tex]4350^0 = (90^0)a \implies a = 48.333.. ( Not possible )[/tex]
Thus, for n = 5, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis,
For n = 6,
Our angle will be 5220°
Its terminal side fall along the positive portion of the y-axis,
[tex]5220^0 = (90^0)a \implies a = 58..... ( Not possible )[/tex]
Thus, for n = 6, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis.
Therefore,the value of n will the terminal side fall on the y-axis at n=3.
To learn more about the terminal side visit:
https://brainly.com/question/24680641
Answer:
a
Step-by-step explanation:
x=3 on edge
HELP ASAP I GIVE BIG BRAIN
Give one example of a relationship that IS a function and explain how you know (explain it as if you are talking to someone who has never heard of a function before). In ur own words please...
A function is a relation where there is only one output for every input. In other words for every x value, there is only one y value.
Example : Multiply by 3 is a very simple function.
Input : 0 Output : 0
Input : 1 Output : 3
Input : 2 Output : 6
Input : 3 Output :9
And so on!
Hope this helps!
Ann deposited $4000into an account with 3.6% interest, compounded annually. Assuming that no withdrawals are made, how much will she have in the account after 9 years?
Which is a perfect square?
O 5
O 8
O 36
044
Answer:
6×6=36
36 is the perfect square
For his car, Sam spent $138.96 on speakers and $142.89 on new tires. In total, how
much did Sam spend on car parts?
Answer:
Same spent $281.85 or approximately $282
Need assistance please
And please put in the full explanation on how you solved it please.
Answer:
The triangles are not similar
Step-by-step explanation:
We can say whether the triangle UVW is similar to triangle LMN or not by looking at the side lengths' ratio:
If they are similar then the side's must be proportional
VU/LM = VW/NM
35/25 = 22/16 cross multiply expressions
560 = 550 this is not an equation so we cannot say the triangles are similar.
Without solving, identify whether this equation has a solution that is positive, negative, or zero: It is positive Solve the equation.
Answer:
Step-by-step explanation:
Billy invested $18 of savings in two major business enterprises which paid interest at the rate of 3% and 6%, respectively. If his annual income for these two enterprises was equivalent to a return of 5% on the entire investment, find how much he invested at 3%.
Answer:
$6
Step-by-step explanation:
System of equations
x+y = 18
0.03x+0.06y = 5% of 18 = 0.9
(0.03x+0.06y=0.9)*100 = 3x+6y=90
(3x+6y=90)÷3 = x+2y=30
Substract (1)-(2)
x+2y=30 ... (1)
x+y=18 ... (2)
y=12
x+12=18
x=6
Thanks.
Please Help! In a proof to show two triangles are congruent if a given is PR ⟂ CK, which of the following statements most likely will be used within the proof?
Answer: PR and CK form right angles.
Step-by-step explanation:
By definition, perpendicular lines form right angles, and vice versa (in other words, lines that form right angles are perpendicular). Since we need to show PR is perpendicular to CK, we must first show that PR and CK form right angles.
Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16
[tex]\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}[/tex]
one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.
since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.
A rectangular red sticker has a perimeter of 40 millimeters and an area of 64 square
millimeters. What are the dimensions of the sticker?
millimeters by millimeters
Submit
Answer:
16 x 4.
Step-by-step explanation:
What multiplies into 64?
could be 16 and 4?
16 x 2 = 32
4 x 2 = 8
32 + 8 = 40, therefore, this is correct.
ASAP HELP, PLEASE HELP NEED IT FOR COLLEGE SCHOLARSHIP PLEASE HELP ASAP i really need it for college scholarship help ive to submit it about 20 minutes pleae help
Answer:
I think it might be 30pi m or 94.2 m.
Step-by-step explanation: So you are finding the perimeter of the circle. You have a radius of 15, the perimeter for a circle is C=2pir. Now we can do C=2pi(15). The answer is 30pi or C=2 x 3.14 x 15= 94.2 Hope this helps.
There is a bag a filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and
then it iS not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
3/7Step-by-step explanation:
Given
Red = 4, Blue = 3Total number of marbles is
3 + 4 = 7Probability of getting 2 of the same color is
P(2 same) = P(red, red) + P(blue, blue)Probability of 2 reds is:
P(red, red) = 4/7*3/6 = 2/7Probability of 2 blues is:
P(blue, blue) = 3/7*2/6 = 1/7Required probability is
P(2 same) = 2/7 + 1/7 = 3/73647 divided by 6
Show work out
Answer:
607.83333333333......... hope it helps.........
Answer:
607.8
Step-by-step explanation:
just use your calculator 3647 divided by 6 and you get that answer
What is 192 rounded to the nearest ten
Answer:
190
Step-by-step explanation:
192 is closer to 190 than it is to 200, so the answer is 190.
Hope that helps!
Answer:
190
Step-by-step explanation:
192 looking a the ones number (2) if the last number is 5 or higher round up if not go down. therefore 190
Select the correct answer.
Which number is an irrational number?
A.
B.
C.
D.
Answer:
its c i just got done doing the same one
Step-by-step explanation:
got it right on my real numbers test and got 100% if you need more help comment under my answer
because it's a drag and drop, I added a screenshot below.
Answer:
The one on top is y^8 - 1/y^8 (option 1)
The one on the bottom is 1/y^8 + 1/y^2 (option 5)
Please help ASAP
Dave is 8 years younger than 4 times Julia's age. If Dave is 16, how old is Julia?
6 years
24 years
32 years
O
56 years
Step-by-step explanation:
Age of dave = y
Age of Julia = x
y = 4x - 8
if y = 16
then
4x - 8 = 16
4x = 16 + 8
4x = 24
x = 24/4
x = 6
Julia is 6 years old
Answer:
Julia is 6 years old.
Step-by-step explanation:
Dave + 8 = 4 Julia
16 + 8 = 4 Julia
24 = 4 Julia
6 = Julia
Julia is 6 years old
Maths- please help me with this Q
Step-by-step explanation:
please mark me as brainlest
Answer:
See below ↓
Step-by-step explanation:
Missing values (a)
[tex]\left[\begin{array}{ccc}-1&1\\?&?\end{array}\right][/tex]Substituting x = 1 and x = -1 respectively in the equation y = x² - 4x[tex]\left[\begin{array}{ccc}-1&1\\5&-3\end{array}\right][/tex]Curve which matches the equation
On solving y = x² - 4x = x(x - 4) ⇒ x = 0, 4It intersects the x axis at 0 and 4The blue curve is the right oneWhich statement describes the behavior of the function f (x) = startfraction 2 x over 1 minus x squared endfraction?
The statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity
How to find the value of the function as x approaches infinity (+ve or -ve)?If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
For the considered case, the function is:
[tex]f(x) = \dfrac{2x}{1-x^2}[/tex]
The missing options are:
The graph approaches –2 as x approaches infinity.The graph approaches 0 as x approaches infinity.The graph approaches 1 as x approaches infinity.The graph approaches 2 as x approaches infinity.So we need to find the limit of the function as x approaches infinity.
[tex]lim_{x\rightarrow \infty}f(x) = lim_{x\rightarrow \infty}\dfrac{2x}{1-x^2} = lim_{x\rightarrow \infty}\dfrac{2x/x^2}{1/x^2 - 1} = lim_{x\rightarrow \infty}\dfrac{2/x}{1/x^2 - 1}\\\\lim_{x\rightarrow \infty}f(x) = \dfrac{lim_{x\rightarrow \infty}(2/x^2)}{lim_{x\rightarrow \infty}(1/x^2 - 1)} = \dfrac{0}{0-1} = \dfrac{0}{-1} = 0[/tex]
Since the value of the function approaches 0 as x approaches infinity, so as its graph will do.
Thus, the statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity
Learn more about limits of a function here:
https://brainly.com/question/13146225
can y’all please helpppp , i’ll give brainliest
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
The y - coordinate of a point lying on that function is represented by f(x) for each value of x, so let's find the corresponding value of x, when f(x) = 0
In the given case, y - coordinate of two points is equal to zero. hence we will get two distinct values of x
that is :
[tex]\qquad \sf \dashrightarrow \: x = - 2 \: \: and \: \: x = 4[/tex]
Solve each pair of simulation equation. Multiply one equation by suitable numbers before adding/substracting to eliminate.
A) 2x+ 3y =11
x+ y = 4
B) 4x + 3y =-12
2x - y = 4
Answer:
A) x = 4, y = 3.
B. x = 0, y = -4.
Step-by-step explanation:
A) 2x+ 3y =11 .........(a)
x+ y = 4.......(b)
Multiply equation (b) by 2:
2x + 2y = 8
Subtract this from equation (a):
y = 11-8 = 3.
Substitute y = 3 into equation (a):
2x + 3*1 = 11
2x = 11 - 3 = 8
x = 4.
B) 4x+ 3y = -12
2x - y= 4
Multiply second equation by 2:
4x - 2y = 8
Subtract this from first equation:
3y - (-2y) = -12 - 8
5y = -20.
y = -4.
Substitute y = -4 into equation 1:
4x + 3*(-4) = -12
4x = -12 + 12 = 0
x = 0.
1 yards equals 3 feet in one mile equals 5280 feet how many yards are in 5 MI
Answer:
A conversion calculator gave me 8800
Suppose you carry out a significance test of H0: μ = 7 versus Ha: μ ≠ 7 based on sample size n = 28 and obtain t = 1.45. Find the p-value for this test. What conclusion can you draw at the 5% significance level? Explain.
Considering the given test, the p-value is of 0.1586, and the null hypothesis is not rejected at the 5% significance level.
What is the relation between the p-value and the decision?It depends it is less or greater than the critical value.
If it is less, the null hypothesis is rejected.If it is more, the null hypothesis is not rejected.In this problem, we use a t-distribution calculator, with t = 1.45, 27 df and a two-tailed test, as we are testing if the mean is different of a value. Doing it, the p-value is of 0.1586.
Since it is greater than 0.05, the null hypothesis is not rejected at the 5% significance level.
More can be learned about p-values at https://brainly.com/question/26454209
Harold got home from school at 3:50 P.M. and played video games for 1 hour and 5 minutes. Then, it took him 1 hour and 40 minutes to finish his homework. What time was it when Harold finished his homework?
Answer:
6:35.
Step-by-step explanation:
I start by adding the hours spent to the time leaving me with 5:50, I then add the 40 which brings it to 6:30 and the additional 5 minutes bringing the final answer to 6:35.
Answer:
6:35 PM
Step-by-step explanation:
When Harold got home, it was already 3:50 PM. Then he played games for an hour and five minutes. Adding on an hour, it made the time 4:50 PM, and then adding on the five minutes, made the time 4:55 PM. When he finished playing games, he took an hour and forty minutes to do his homework. 4:55 PM, adding on the hour makes it 5:55 PM, then adding the 40 minutes, makes it 6:45 PM.
- Educationist
The quotient of forty-three and a number m
Answer:
43/m
Step-by-step explanation:
Quotient refers to the resulting answer when a number is divided by a divisorIn this case, our number is 43 and divisor is mTherefore, the quotient is :43/mAnswer:
43/m
Step-by-step explanation:
We can consider the word phrase 'the quotient of' to be a division property.
We can also contemplate that the phrase 'a number m' represents a variable, m, of an unknown value.
Together, we link these two to create the expression;
43 ÷ m which can also be known as 43/m.