Answer:
a²+b²-18greaterthan or equal to 6a-6bLim x->-5(((1)/(5)+(1)/(x))/(10+2x))=
correct answer 1/10x = -1/50
explain:
Given:
The limit problem is:
[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]
To find:
The value of the given limit problem.
Solution:
We have,
[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]
It can be written as:
[tex]=lim_{x\to -5}\dfrac{\dfrac{x+5}{5x}}{2(5+x)}[/tex]
[tex]=lim_{x\to -5}\dfrac{x+5}{5x}\times \dfrac{1}{2(5+x)}[/tex]
[tex]=lim_{x\to -5}\dfrac{1}{5x\times 2}[/tex]
[tex]=lim_{x\to -5}\dfrac{1}{10x}[/tex]
Applying limit, we get
[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{10(-5)}[/tex]
[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{-50}[/tex]
Therefore, the value of given limit problem is [tex]-\dfrac{1}{50}[/tex].
What is 2/3 divided by 1/6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
When we divide fractions, we are essentially multiplying by the reciprocal of the fraction.
2/3 ÷ 1/6
= 2/3 × 6
= 12/3
= 4
solve the equation
45 = 3(x + 1)
Answer:
x = 14
Step-by-step explanation:
45 = 3(x + 1)
Distribute the 3
3(x) = 3x
3(1) = 3
We now have 45 = 3x + 3
Subtract 3 from both sides
45 - 3 = 42
3 - 3 cancels out
We now have 42 = 3x
Divide both sides by 3
42/3 = 14
3x / 3 = x
We're left with x = 14
Answer:
x = 14
Step-by-step explanation:
45 = 3(x + 1)
Distribute
45 = 3x + 3
-3 -3
----------------
42 = 3x
---- ----
3 3
14 = x
James charges $4 per car plus $10 per hour in his car washing business use an equation to describe the earning he receives per car
Answer:
4c+10t
Step-by-step explanation:
c= car
t= time/ hour
(r-3)(r-1)
Help me please!!!
Answer:
= r²−4r+3
Step-by-step explanation:
(r - 3) (r - 1)
(r x r) + (r x -1) + (-3 x r) + (-3 x -1)
r² + - r - 3r + 3
= r²−4r+3
hello there i have no clue how to graph this function, f (x) =3/2 (2) ^x
Which of the following expressions represents the distance between -3.9 and -4.7
Answer:
None of the above
Step-by-step explanation:
Distance is the difference between two positions. That is x1- x2 Since both numbers were negative, you would want the absolute value of one plus the other, because subtracting a negative results in a positive. For this example the distance would look more like this:
| -4.7 - ( -3.9 ) | = .8
at what speed was jo walking for the first 30 minutes
Answer:
Bro a normal speed of a human is 3km/hr
And I don't know the speed of jo
Because u haven't written full question
Step-by-step explanation:
Please Mark me brainliest
Graph 3 points on the line y = x+6
Y=x+6
X+y=8
Answer:
We can first, determine two points on the line:
For:
x
=
0
y
=
0
−
6
y
=
−
6
or
(
0
,
−
6
)
For:
x
=
6
y
=
6
−
6
y
=
0
or
(
6
,
0
)
Next, we can plot these two points on the grid:
graph{(x^2+(y+6)^2-0.125)((x-6)^2+y^2-0.125)=0 [-20, 20, -10, 10]}
Now, we can draw a line through the two points to graph the line for the equation:
graph{(x^2+(y+6)^2-0.125)((x-6)^2+y^2-0.125)(y-x+6)=0 [-20, 20, -10, 10]}
At a party there are 30 students over the age of 21 and 15 under the age of 21. You select a representative sample of 5to interview about attitude towards alcohol. Explain your method and select ypur sample
Answer:
Stratified sampling
Step-by-step explanation:
Given
[tex]30 \to 21\ and\ above[/tex]
[tex]15 \to Under\ 21[/tex]
Required
The type of sampling method
From the question, we understand that, the sample are divided into two categories. This means that each person in each person do not have the same probability of being selected.
Such method is a stratified sampling
6. Write two rational numbers which are their own reciprocals ?
1 and -1 are the only rational numbers which are their own reciprocal.[tex] \: [/tex]
4^12*6^15*7^21
HEELPOOOOPO
9514 1404 393
Answer:
4^4·6^5·7^7 = 1,639,390,814,208
Step-by-step explanation:
Taking the cube root multiplies each exponent by 1/3.
((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answer:
In a product like:
a*b = 0
says that one of the two terms (or both) must be zero.
Here we have our equation:
x^2 + 12 = 7x
x^2 + 12 - 7x = 0
Let's try to find an equation like:
(x - a)*(x - b) such that:
(x - a)*(x - b) = x^2 + 12 - 7x
we get:
x^2 - a*x - b*x -a*-b = x^2 - 7x + 12
subtracting x^2 in both sides we get:
-(a + b)*x + a*b = -7x + 12
from this, we must have:
-(a + b) = -7
a*b = 12
from the first one, we can see that both a and b must be positive.
Then we only care for the option with positive values, which is x =3 or x = 4
replacing these in both equations, we get:
-(3 + 4) = -7
3*4 = 12
Both of these equations are true, then we can write our quadratic equation as:
(x - 3)*(x - 4) = x^2 + 12 - 7x
The correct option is the last one.
Answer:
d
Step-by-step explanation:
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
14 or 10.4
Step-by-step explanation:
I don’t really understand the question but here I go I’ll try;
The height is 4 and the width is 10, so I think it’s 14 or 10.4.
The Constant that relates the height and width is 5/2.
What is Constant of Proportionality?The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Given:
we have the coordinates as (10, 4)
The coordinates shows that when the height of the rectangle is 4 unit then the width of the rectangle is 10.
Using Constant of Proportionality
y= k x
10 = k(4)
k = 10/ 4
k = 5/2
Learn more about Constant of Proportionality here:
https://brainly.com/question/29126727
#SPJ2
Let be the set of permutations of whose first term is a prime. If we choose a permutation at random from , what is the probability that the third term is equal to
Answer:
[tex]Pr = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5\}[/tex]
[tex]n = 5[/tex]
Required
Probability the third term is 3
First, we calculate the possible set.
The first must be prime (i.e. 2, 3 and 5) --- 3 numbers
[tex]2nd \to 4\ numbers[/tex]
[tex]3rd \to 3\ numbers[/tex]
[tex]4th \to 2\ numbers[/tex]
[tex]5th \to 1\ number[/tex]
So, the number of set is:
[tex]S = 3 * 4 * 3 * 2 * 1[/tex]
[tex]S = 72[/tex]
Next, the number of sets if the third term must be 2
[tex]1st \to 2[/tex] i.e. 1 or 5
[tex]2nd \to 3\ numbers[/tex] ---- i.e. remove the already selected first term and the 3rd the compulsory third term
[tex]3rd \to 1\ number[/tex] i.e. the digit 2
[tex]4th \to 2\ numbers[/tex]
[tex]5th \to 1\ number[/tex]
So
[tex]r = 2 * 3 * 1 * 2 * 1[/tex]
[tex]r = 12[/tex]
So, the probability is:
[tex]Pr = \frac{r}{S}[/tex]
[tex]Pr = \frac{12}{72}[/tex]
[tex]Pr = \frac{1}{6}[/tex]
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 39.3°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.5}{8.4}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{6.5}{8.4}[/tex] ) ≈ 39.3° ( to the nearest tenth )
Step-by-step explanation:
Cos theta =Base/hypotenuse
Base=KL= 6.5
Hypotenuse=KM=8.4
Cos X=
[tex] \frac{6.5}{8.4} \\ [/tex]
X=
[tex] {cos}^{ - 1} \frac{6.5}{8.4} [/tex]
X=39.30 (2decimal)
Brainliest please~
Let the universal set U = {weekdays}. If T = {Tuesday, Thursday}, what is T'?
Answer:Monday, Wednesday and Friday.
Step-by-step explanation:
It’s the other weekdays.
pls answer with explanation!
The manager of a small baseball stadium uses the equation y = 9000 -2.4x to model the relationship between y, the number of unfilled seats in the
stadium, and x, the number of cars in the parking lot. According to the model, how many cars will be in the parking lot when there are no unfilled seats in the stadium?
Answer:
3,750 cars.
Step-by-step explanation:
We are given that the equation:
[tex]y=9000-2.4x[/tex]
Models the relationsip between y, the number of unfilled seats in the stadium, and x, the number of cars in the parking lot.
We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.
When there are no unfilled seats in the stadium, y = 0. Thus:
[tex]0=9000-2.4x[/tex]
Solve for x. Subtract 9000 from both sides:
[tex]-2.4x=-9000[/tex]
Divide both sides by -2.4:
[tex]x=3750[/tex]
So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.
Rachel, Trey, and Juan sent a total of 85 text messages over their cell phones during the weekend. Rachel sent 10 more messages than Trey. Juan sent 3 times as many messages as Rachel. How many messages did they each send?
Answer:
Trey = 9 text messages
Rachel = 19 text messages
Juan = 57 text messages
Step-by-step explanation:
Let
Number of messages Trey sent = x
Number of messages Rachel sent = x + 10
Number of messages Juan sent = 3(x + 10)
Total messages = 85
Total = Trey + Rachel + Juan
85 = x + (x + 10) + 3(x + 10)
85 = x + x + 10 + 3x + 30
85 = 5x + 40
85 - 40 = 5x
45 = 5x
x = 45/5
x = 9
Number of messages Trey sent = x = 9 text messages
Number of messages Rachel sent = x + 10
= 9 + 10
= 19 text messages
Number of messages Juan sent = 3(x + 10)
= 3(9 + 10)
= 3(19)
= 57 text messages
what is the answer to this?
Answer:
29
Step-by-step explanation:
43.25-7=36.25
36.25/1.25=29
7. Define a variable and write an expression for the phrase.
8 minus a number
complete the table of values for y=x^2-2x+2
Help and explain !!!!( Solve using the substitute method )
Answer:
x=13
y= -9
(13, -9)
Step-by-step explanation:
If we are solving using the substitution method, we can take the first equation and set it to y so y=4-x.
Then, we can take that equation and plug it into the bottom one so
3x+4(4-x)=3
Simplify:
3x+16-4x=3
-x=-13
x=13
We can then plug 13 into any of the two given equations (I am just going to plug it into the top one)
So, 13+y=4 which y= -9
The Students in a school can be arranged in 12, 15, 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school? (Hint: find the LCM)
Answer:
180
Step-by-step explanation:
the simplest rationalizing factor of
2√50?
PLEASE DO ANSWER THIS QUESTION CORRECTLY
Answer:
2/5√2
Step-by-step explanation:
2/√ 25 * 2
further:
ans (1/5)(√2)
Hi,
[tex]2\sqrt{50}\\\\=2\sqrt25*2}\\\\=2*5\sqrt{2}\\\\=10\sqrt{2}[/tex]
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Hello!
8y + 3 > 15y + 52 <=>
<=> 8y - 15y > 52 - 3 <=>
<=> -7y > 52 - 3 <=>
<=> -7y > 49 <=>
<=> y < -7 => y ∈ { -∞; -7 }
Good luck! :)
What is the phase shift of F(x) = 3 sin(2x - 4)?
Answer:
2
Step-by-step explanation:
Use the form asin(bx−c)+d
a=3
b=2
c=4
d=0
Phase Shift: c/b
Phase Shift: 4/2 = 2
SOMEONE PLEASE HELP ME OUT!!!!
Answer:
40/30
Step-by-step explanation:
Since tan∅= o/a, 40 is opposite, and 30 is adjacent to angle A, 40/30 is the ratio for tanA.
Answer:40/30
Step-by-step explanation:
....
A valid argument form is one in which, when you uniformly substitute for the variables, the result is
Answer:
True
Step-by-step explanation:
This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.
(Algebra ll) Given the function below
Answer: B
Step-by-step explanation:
To find the values of x, we first need to write the function into an equation. We can derive 2 equations from the problem.
Equation 1: y=2|x+6|-4
Equation 2: y=6
Now, we can substitute.
2|x+6|-4=6
Let's solve for x.
2|x+6|-4=6 [add both sides by 4]
2|x+6|=10 [divide both sides by 2]
|x+6|=5 [subtract both sides by 6]
x=-1
Now that we know x=-1 is one of the solutions, we can eliminate C and D.
We know that the absolute value makes the number inside positive always. Therefore, let's solve for x with -5 instead.
|x+6|=-5 [subtract both sides by 6]
x=-11
Therefore, we know that B is the correct answer.