Answer:
-2<x<4
Step-by-step explanation:
For [tex]\frac{x+2}{x-4} < 0[/tex], note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.
This means x+2>0 and x-4<0 or x+2<0 and x-4>0.
Lets look at the first scenario (x+2>0 and x-4<0)
x+2>0 and x-4<0
x>-2 and x<4
This means that -2<x<4.
Let’s look at the other scenario (x+2<0 and x-4>0)
x+2<0 and x-4>0
x<-2 and x>4
This means that x must be <-2 and >4 simualtaneously, which is impossible.
Therefore, this only occurs when -2<x<4.
I hope this helps! :)
1/2(x-6.5) = 3.16 what is x?
Answer:
x =12.82
Step-by-step explanation:
1/2(x-6.5) = 3.16
Multiply each side by 2
1/2(x-6.5) *2 = 3.16 *2
(x-6.5) = 6.32
Add 6.5 to each side
(x-6.5+6.5) = 6.32+ 6.5
x =12.82
Answer: 12.82
Step-by-step explanation:
1/2(x-6.5)= 3.16
x=12.82
please yelp me find the area
Find the solution of the system of equation shown on the graph
9514 1404 393
Answer:
(-7, -6)
Step-by-step explanation:
The solution to the system of equations is the point that is on both lines: their point of intersection. That point is (-7, -6).
What is the MINIMUM of the data set: 35, 20, 30,25, 20?"
a. 15
b. 20
c. 35
d. 25
Answer:
B) 20
The minimum of a data set is the smallest term of that set.
We arrange the terms in ascending order
→ 20,20,25,30,35
So, the minimum is 20
--------------------------------
hope it helps...
have a great day!!
PASAGOT PO MATH KO PLSSS I NEED YOUR HELP :<
Answer:
394 m
Step-by-step explanation:
From the solution diagram attached ;
The distance between boat and base of hill is represented as d ;
Using the trigonometric relation :
Tan θ = opposite / Adjacent
Tan 13 = 91 / d
Tan 13 * d = 91
d = 91 / Tan(13)
d = 394.16 m
d = 394 m (nearest meter)
Which temperature is warmer, -8 degrees Celsius, or -20 degrees Celsius?
Answer:
-8 degrees Celsius is warmer
Answer:
-8 degrees C.
Step-by-step explanation:
How many square metres is equivalent to 12 370 cm2?
please answser ASAP
Answer:
the answer is 1.2370 .. give me brainliest
solve for x:
-x/3 = 2
Answer:
x = -6
Step-by-step explanation:
-x/3 = 2
Multiply each side by -3 to isolate x
-x/3 * -3= 2*-3
x = -6
Answer:
x= -6
Step-by-step explanation:
you want to issolate x.
Start by getting rid of that divison by inversing it. The inverse of division is multiplication, so we multiply 2 by 3 to get 6.
Now -x= 6
in order for it to be truely isolated, we must inverse the negative sign.
its x= -6
missing coordinates to complete the following ordered pair y+4x=7
Answer:
(1,3)
Step-by-step explanation:
This might be wrong, sorry.
y+4x=7
I would think the pair is
(1,3)
Find the VOLUME of the cylinder.
Show your work.
Answer:
V = 960[tex]\pi[/tex] or 3015.93
Step-by-step explanation:
V = [tex]\pi r^{2} h[/tex]
= [tex](\pi) (8)^{2} (15)[/tex]
= 960[tex]\pi[/tex] or 3015.93
5 people are going to a dinner party. Each person at the party will eat 24 pound of cake. If you can only buy whole pounds of cake, how many pounds should you buy?
- My sister needs help with this but i have no idea
Answer:
The Answer is 120
Step-by-step explanation:
The answer is 120 because 5*24 is 120
Examine the triangle below. Use it to answer question 31.
Question 3
What type of trangle is shown?
Acute Equilateral Triangle
Acute Scalen Triangle
C. Obuse Scalene Triangle
D. Right Isosedes Triangle
Answer:
It’s blurry but I think it’s an obtuse triangle
Step-by-step explanation:
Maybe a right triangle
Mandy used the rule “Add 6” to make a pattern. She started with 20 and wrote the next 5 numbers in her pattern.
Which number does NOT belong in Mandy’s pattern?
A. 26
B. 32
C. 38
D. 43
Whoever answers this then they can get Branliest
Answer:
43
Step-by-step explanation:
20 +6 = 26
26 + 6 = 32
32 + 6 = 38
38 + 6 = 44, not 43
Hope this helps!
Answer:
I think it is (D.)43
becuase if you add 6 to 38 it gives you 44
Hope this helps!!!!!!
Please help! I need done ASAP
Answer:
17
Step-by-step explanation:
If 3^2x+1 = 3^x+5, what is the value of x?
Answer:
4
Step-by-step explanation:
Since the bases are equal the powers also are equal
so
2x + 1 = x + 5
2x - x = 5 - 1
x = 4
approximate 10.56 to the nearest whole number
Answer:
11.
Step-by-step explanation:
As the first decimal place is 5 we round up the whole number.
Answer:
11
Step-by-step explanation:
See image below:)
look at pic 10 pts will mark brainilest WILL HELP OUT W 3 QUESTIONS
Answer:D
Step-by-step explanation:
I think that it is D since C is obviously dependant on everything else, B is also dependant on D, and since A is dependant on D.
Will mark brainliest! Problem is in pic below, no links please. Thanks.
Answer: The answer is D) $3.35
Step-by-step explanation:
Well if we want to see the price of beef and chicken the same we should use the same variable for them making the equations
[tex]y=2.35+.25x\\y=1.75+.4x[/tex]
now let's subtract the equations for elimination
[tex]y=2.35+.25x\\-y=1.75+.4x\\\\=\\0=.6+-.15x[/tex]
now let's solve for x
[tex]0=.6-.15x\\0-.6=.6-.15x-.6\\-.6=-.15x\\\frac{-.6}{-15} =\frac{-.15x}{-.15} \\4=x[/tex]
now let's sub x into the original equations
[tex]y=2.35+.25(4)\\y=2.35+1\\y=3.35\\\\y=1.75+.4(4)\\y=1.75+1.6\\y=3.35[/tex]
A class rolls a number cube 100 times and records the results. Use these results to predict about how many times the class will roll the number 4 in 1,000 trials. The class will roll the number 4 about times.
Answer:
nmb
Step-by-step explanation:
anyone know if these are true or false? PLZ HELP
Answer:
true
Step-by-step explanation:
that i don't know why
Seven members of the track team run the mile. Their mile times are all faster than 7 minutes but not faster than 6 minutes. Can you conclude that there are two runners whose times are less than nine seconds apart
Answer:
There are at least two runners whose times are less than 9 seconds apart.
Step-by-step explanation:
Let's assume that Tₙ is the time of the n-th runner, we know that:
6 min < Tₙ < 7 min
knowing that:
1 min = 60 s
We can rewrite this as:
6*60 s < Tₙ < 7*60 s
360 s < Tₙ < 420 s
We know that there are 7 runners, and we want to see if we can conclude that there are two runners whose times are less than nine seconds.
So, the smallest time allowed in seconds is 361 seconds (the first value larger than 360 seg) while the largest time allowed is 419 seconds (the largest time allowed smallest than 420 seconds).
Now, let's assume that the first runner has the smallest time:
then:
T₁ = 361 s
Now let's add 9 seconds to the time of each runner (here we want to check that we can have all the runners with exactly 9 seconds apart in their times, so we will prove that the statement is false), then:
T₂ = 361s + 9s = 370s
T₃ = 370s + 9s = 379s
T₄ = 379s + 9s = 388s
T₄ = 388s + 9s = 397s
T₅ = 397s + 9s = 406s
T₆ = 406s + 9s = 415s
T₇ = 415s + 9s = 424s
But 424s > 420s
So this is not allowed (as the maximum time allowed was 419 s), so at least two of the runners must have times that are less than 9 seconds apart.
Then; Can you conclude that there are two runners whose times are less than nine seconds apart? Yes.
Yes conclude that there are two runners whose times are less than nine seconds apart.
Given that,
Number of members = 7
Their mile times are all faster than 7 minutes but not faster than 6 minutes.
We have to determine,
Can you conclude that there are two runners whose times are less than nine seconds apart.
According to the question,
Let's assume that Tₙ is the time of the nth runner,
Then,
[tex]6 min < T_n < 7 min\\\\And \ 1 min = 60 s\\\\6\times 60 s < T_n < 7\times 60 s\\\\360 \ sec < T_n < 420 \ sec[/tex]
There are 7 runners, conclude that there are two runners whose times are less than nine seconds.
So, The smallest time allowed in seconds is 361 seconds (the first value larger than 360 seconds).
While the largest time allowed is 419 seconds (the largest time allowed smallest than 420 seconds).
Therefore,
Let's assume that the first runner has the smallest time:
T₁ = 361 s
Adding 9 seconds to the time of each runner to check that all the runners with exactly 9 seconds apart in their times.
So, prove that the statement is false
Then:
[tex]T_2 = 361s + 9s = 370s\\\\T_3 = 370s + 9s = 379s\\\\T_4 = 379s + 9s = 388s\\\\T_5 = 388s + 9s = 397s\\\\T_6= 397s + 9s = 406s\\\\T_7 = 406s + 9s = 415s\\\\T_8 = 415s + 9s = 424s[/tex]
Here, [tex]424s>420s[/tex]
So, There is not allowed (as the maximum time allowed was 419 s), T least two of the runners must have times that are less than 9 seconds apart.
Therefore, Yes conclude that there are two runners whose times are less than nine seconds apart.
To know more about Probability click the link given below.
https://brainly.com/question/23431320
What is the common ratio of the geometric sequence below 625,125,25,5,1,...
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
In the geometric sequence we can see each time we are dividing by 5. That is the same as multiplying by [tex]\frac{1}{5}[/tex] so that is the common ratio.
Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of days of operation shows a sample mean of rooms occupied per day and a sample standard deviation of rooms. a. What is the point estimate of the population variance (to nearest whole number)? b. Provide a confidence interval estimate of the population variance (to nearest whole number). ( , ) c. Provide a confidence interval estimate of the population standard deviation (to 1 decima
Answer:
Step-by-step explanation:
a) The point estimate of the population variance is 900 (rooms squared).
b) The 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).
c) The 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.
a. The point estimate of the population variance can be calculated using the formula:
Point estimate of population variance = Sample standard deviation squared
= (30 rooms)²
= 900 rooms²
Therefore, the point estimate of the population variance is 900 (rooms squared).
b. To calculate the 90% confidence interval estimate of the population variance, we need to use the Chi-Square distribution.
The formula for the confidence interval of the population variance is:
Lower bound: (n-1)*sample variance / Chi-Square upper critical value
Upper bound: (n-1)*sample variance / Chi-Square lower critical value
Since we are interested in a 90% confidence interval, the Chi-Square critical values for the upper and lower tails with (n-1) degrees of freedom are 8.907 and 32.852, respectively.
Plugging in the values, we have:
Lower bound: (20-1)*900 / 32.852
≈ 486
Upper bound: (20-1)*900 / 8.907
≈ 1706
Therefore, the 90% confidence interval estimate of the population variance is approximately (486, 1706) (rooms squared).
c. To calculate the 90% confidence interval estimate of the population standard deviation, we take the square root of the lower and upper bounds of the confidence interval for the variance.
Square root of the lower bound: √486
≈ 22.0
Square root of the upper bound: √1706
≈ 41.3
Therefore, the 90% confidence interval estimate of the population standard deviation is approximately (22.0, 41.3) rooms.
Learn more about the confidence interval here:
https://brainly.com/question/31420373
#SPJ4
The correct question is as follows:
Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 30 rooms.
a. What is the point estimate of the population variance (to nearest whole number)?
b. Provide a 90% confidence interval estimate of the population variance (to nearest whole number).
c. Provide a 90% confidence interval estimate of the population standard deviation (to 1 decimal).
Please help me no links!!
Answer:
Slope is -3
y-intercept is -3 and equation is y=-3x-3
Answer:
Slope: -3
y-intercept: -3
Equation: y = -3x - 3
Step-by-step explanation:
1. To get the slope (m):
m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards
2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)
3. Put is all together: y = -3x - 3
Which represent like terms in the model of the equation?
1
O
II-
and
X X and
XX
х
and
and 1
Answer:
Option 2
Step-by-step explanation:
Like terms are terms with the same variable and the same power.
Let's analysis and write the equation of each model to see if which of them has like terms:
Option 1:
We have x x => 2x
1 1 1 => 3
Equation of model=> 2x + 3
2x and 3 are unlike terms
Option 2:
We have x x => 2x
x x x => 3x
Equation of model=> 2x + 3x
2x and 3x are like terms
Option 3:
We have x x x => 3x
1 1 1 => 3
Equation of model=> 3x + 3 (contains unlike terms)
Option 4:
We have x => x
1 => 1
Equation of model=> x + 1 (unlike terms)
✔️The second option is the answer
According to the fundamental theorem of algebra, how many zeros does the function f(x)= 3x^4 + x + 2 have?
Answer:
4
Step-by-step explanation:
Any polynomial of degree n has n roots
but we may need to use complex numbers
This is a 4th degree polynomial therefor:
4 roots
2(5j + 2 + 4j) as a verbal expression
Answer:
theres a few ways to go about this...
ten j plus, four, plus eightj SIMPLIFY eighteen j's plus four
orrrr
2 times 5j+2 times2+2times4j and combine like terms to get the above expression
Find the slope of the line passing through the given points?
(-11,7) and (-11, -2)
Answer:
oo (infinite)
Step-by-step explanation:
the slope = (-2-7)/(-11+11) = -9/0 = oo
(infinite)
A lawn fertilizer company is working on different formulas for lawn fertilizer. They want to examine the difference between their “Original Formula” and their “Improved Formula”.
The table below shows the height of different lawns, in millimeters, using the various fertilizer formulas.
The model for each lawn is shown in the table below.
Lawn Fertilizer Model
A (Control Group) f(x)=7x+6
B (Original Formula) f(x)=1.5x2+5.5x+11
C (Improved Formula) f(x)=9⋅2x
Use the model to estimate the height of the lawn after 10 weeks.
If you were the lawn fertilizer company, which formula would you choose? Why?
ILL GIVE BRAINLIEST IF YOU GET IT CORRECT AND EXPLAIN
The linear expression -12x-18 can be written equivalently as the expression a(bx+3) where a and b are integer values.What is the value of a that makes the statement true.
What is the value of b that makes the statement true.
Answer: so a can be -2 and b can be 6, note that there are many combinations since u can factor all types of stuff out including fractions
Step-by-step explanation:
a(bx+3) basically is just factoring out a random common factor between -12x and -18
so we can factor out a -2 to get -2(6x+9)
