The value of the rational function f(x) (x³ + 3x)/(x + 10) on putting the value of x of 5 is 9.3333.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function f is given below.
[tex]f(x ) = \dfrac{x^3 + 3x }{x+ 10}[/tex]
Then the value of f(x) at x = 5 will be given as
[tex]\rm f(x ) = \dfrac{5^3 + 3*5 }{5+ 10}\\\\\\f(x ) = \dfrac{125 + 15}{15}\\\\\\f(x ) = \dfrac{140}{15}\\\\\\f(x) = 9.333[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
Answer:11/25
Step by step: Edge 2023
Solve each system by substitution:
3x-6y = 2
4x+3y = -1
from the first equality we have
3x - 6y = 2
3x = 2 + 6y
x = 2/3 + 2y
we replace x by this value in the second equality
4 * (2/3 + 2y) + 3y = -1
8/3 + 2y + 3y = - 1
5y = - 3/3 - 8/3
5y = - 11/3
y = -11/15
and we can get x now :
and x = 2/3 + 2*(-11/15)
x = 2/3 - 22/15
x = 10/15 - 22/15
x = - 12/15
check
3 * (-12/15) - 6 * (-11/15) = -36/15 + 66/15 = 2
Explain, please, and answering
Answer:
86 degrees
Step-by-step explanation:
Alrighty, a simple 180-degree triangle, we can see that the two angles add up to 86, so what would make our angle G1 94 since 180-86 = 94, but we are tasked with finding the other side of that angle, let's call it G2, what should we do?
Since this is a flat 180-degree line, we do it again!
180-94 = 86 degrees
And there ya have it
Though, if you need the technical side, it's because a whole of a triangle is 180 degrees
Given that angles F is 58 and E is 28, we add those two up to find angle EGF. How to find EGF you ask? Simple- 180 degrees (Because it's a triangle) minus 86 (Added angles of E and F), that would equal 94.
Now, we are tasked with finding TGF. We do not have TGF but we have EGF. Learning that, we see the line ET, indicating that we have found ourselves a 180-degree line. What do we do with this line? We use it to calculate TGF with EGF
Since EGF is 94, we take the 180 - 94 to equal 86, and that is how you find TGF
can you explain how to order rational numbers
Answer:
We do this by first converting all terms into fractions, finding the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.
Step-by-step explanation:
hope this helps!
Bridget was thinking of a number. Bridget halves it and gets an answer of 31.3. What was the original number?
Answer:
62.6
Step-by-step explanation:
if 32.3 is a half of a number then multiply it by 2.
32.3 x 2 = 62.6
Which pair of triangles can be proved congruent by SSS?
Answer:
I think the answer is B.
Step-by-step explanation:
Answer:
I believe it is C
Step-by-step explanation:
A genius society requires an IQ that is in the top 2% of the population in order to join. If an IQ test has a mean of 100 and a standard deviation of 15, which of the following could be used as the minimum qualifying score to join the genius society? 115 130 145 160.
The minimum qualifying score to join the genius society is 130, the correct option is B.
What is the minimum qualifying score?In the top 2%, you have to have an IQ higher than 98% of the population (100% - 2%). This is also known as the 98th percentile.
Given
A genius society requires an IQ that is in the top 2% of the population in order to join.
If an IQ test has a mean of 100 and a standard deviation of 15.
For this problem, you are given the probability and need to determine the raw score.
For the probability, go to the z–table and find the probability that is closest to 0.98. Then look across the row and up the column to determine the z-score.
The closest probability is 0.97982 and that corresponds to a z-score of 2.05.
With a z-score of 2.05, you can use the z formula to compute the raw score.
[tex]\rm z-score=\dfrac{X- mean }{Standard \ deviation}\\\\2.05=\dfrac{x-100}{15}\\\\2.05 \times 15 = x-100\\\\30 +x-100\\\\x=100+30\\\\x = 130[/tex]
Hence, the minimum qualifying score to join the genius society is 130.
To know more about z-score click the link is given below.
https://brainly.com/question/13299273
Which graph represents the function f(x) = –|x| – 2?
it should be flipped over the x-axis and translated to the right by 2
Multiply 400 and 45.2 together.
Round to the nearest hundredth when necessary.
Answer:
Answer:
445.2 i think
Step-by-step explanation:
Pls help me on this problem I’m confused
Answer:
if we have 3, 2 pound bricks we have 6 pounds
1 pound = 16 ounces
16 × 6 = 96 ounces
96 ÷ 4 = 24
only 24 people got bricks so he needs to give 4 people more
4 ounces each for 4 people is 16 ounces
answer: 16 ounces
what is the area of the rectangle shown on the coordinate plane?
Answer:
16 square units
Step-by-step explanation:
Hopefully this helps :)
Colin rolls a fair dice 66 times.
How many times would Colin expect to roll a five?
Answer:
11
Step-by-step explanation:
Because 66 ÷ 6 ( Max amount of dots on one side ) = 11
Please help! First to answer with full explanation gets Brainliest!
Answer:
option 1 is true. y^5/8
Help please..The top said what is the missing vowel of the data table.
Answer:
15
Step-by-step explanation:
y=3x
5(x)x3=15
Answer:
The answer is 15
Step-by-step explanation:
Its a pretty easy pattern just multiply the x value by 3, so 5x3=15
Write 2.03x10 to the power of 6
Without using scientific notation
Step-by-step explanation:
2.03×10⁶ is the scientific notation of this number.
Mm inc. recently reported $15,000 of sales, $7,500 of operating costs other than depreciation, and $1,200 of
depreciation. the company had no amortization charges, it had outstanding $6,500 of bonds that carry a 6.25% interest
rate, and its federal-plus-state income tax rate was 25%. how much was the firm's net income after taxes?
Answer:
9456.25?
Step-by-step explanation:
25% in taxes would be 3750+the depreciation and operating costs equals 12450. income was 15000, and they had an outstanding bond worth 6500 with 6.25% interest added onto it, so you get like 21906.25. then i just subtracted it. not sure if it is right, i took accounting 101 like a year or 2 ago, lol
In a standard Normal distribution, what percentage of observations lie above z = 1.65?
Answer:
The percent is 4.9471%
Step-by-step explanation:
Here, we want to find the percentage of observations that lie above z = 1.65
Firstly we find the probability of x < z = 1.65
Hence P ( x > 1.65)
This is obtainable from the standard normal distribution table
The value of P(x > 1.65) = 0.049471
This represents a percentage of 4.9471%
Answer:
4.95/4.9471 is correct
ED2021
thanks for ansering anyone
Answer:
The point on the bottom right quadrant which is the lowest. (Look at photo.)
Step-by-step explanation:
The first coordinate always coresponds to the x coordinate and the second to the y coordinate. So here the x coordinate is 1.5 and the y coordinate is -5. All you need to do is find both of these values on the axis and find where they intercept.
I circled the correct location in the attachment.
GEOMETRY HELP ASAP PLEASE!!!
Answer:
x = 120
z = 21
Step-by-step explanation:
x and 60 are supplementary, so added together they make 180.
x + 60 = 180
subtract 60 from both sides
x = 180 - 60
x = 120
next, x and 4z+36 are equal, so you can make this equation:
x = 4z + 36
substitute x for 120 as established earlier.
120 = 4z + 36
subtract 36 from both sides
120 - 36 = 4z
84 = 4z
divide both sides by 4
84/4 = z
21 = z
Jacob noticed that on a ruler, 7 inches is equal to 17.78 centimeters. The diagonal of his big screen TV measures 65 inches. Which proportion could Luis use to find x, the length of the diagonal of the computer screen in centimeters? 7.4E
Answer:
x/65= 7/17.78
Step-by-step explanation:
B or witch ever one looks like that
please help i will see if i can mark brainliset
problem number one is all real numbers, so it has an infinite number of answers
problem number two is also all real numbers, so it has an infinite number of answers
EXPAND it please and explain
(9r-s/7)(9r+s/7)
Answer:
2. 2
81r - s/49
Step-by-step explanation: I don’t know how to explain it but yeah
( I’m probably wrong so if I am I’m sorry)
Can someone help me with this problem
I don't understand.
what 24 times 52 and 45 times 34
Answer:
2778
Step-by-step explanation:
The answer is 1,909,440
Please mark as brainliest
4x – 3x + 2 = 4(3x – 5)
Answer:
4x-3x+2=4(3x-5)
1x+2=12x-20
22=11x
2=x
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
x=2
Step-by-step explanation:
4x-3x+2=12x-20
x+2=12x-20
2=11x-20
22=11x
x=2
Which relationships describe angles 1 and 2?
Select each correct answer.
supplementary angles
vertical angles
adjacent angles
complementary angles
Answer: Adjacent angles
Step-by-step explanation:
The angles share a common side.
solve for brainliest :)
Hey there!
Problem A.
((-10)^3 * 6)^3
= ((-10)(-10)(-10) * 6)^3
= (100(-10) * 6)^3
= (-1,000 * 6)^3
= (-6,000)^3
= (-6,000)(-6,000)(-6,000)
= 36,000,000(-6,000)
= 216,000,000,000
Thus, your answer is: 216,000,000,000
Problem B.
(3^2/5)^3
= (3 * 3 / 5)^3
= (9/5)^3
= 9/5(9/5)(9/5)
= 9 * 9 * 9 / 5 * 5 * 5
= 81 * 9 / 25 * 5
= 729 / 125
≈ =5 104 / 125
≈ 5.832
Thus, your answer is:
5.832 , 5 104/125, or 729 / 125
EITHER OF THOSE SHOULD BE CORRECT BECAUSE THEY ARE EQUIVALENT TO EACH EACH OTHER!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Put the following equation of a line into slope-intercept form, simplifying all
fractions
2x + 4y = 16
Answer:
[tex]4y = 16-2x\\y = \frac{16}{4} - \frac{2x}{4}\\ y = \frac{-1x}{2}+4\\y = 0.5x+4[/tex]
Given parameters:
Equation of the straight line;
2x + 4y = 16
The slope intercept form of the equation is y = mx + c
Where m is the slope of the line
y and x are the coordinates
c is the intercept
So, the problem is to write the given equation in form of y = mx + c;
2x + 4y = 16
4y = 16 - 2x
Divide through by 2;
[tex]\frac{4y}{2}[/tex] = [tex]\frac{16}{2}[/tex] - [tex]\frac{2x}{2}[/tex]
2y = 8 - x
2y = -x + 8
Then divide by 2 all through;
[tex]\frac{2y}{2}[/tex] = [tex]\frac{-x}{2} + \frac{8}{2}[/tex]
y = [tex]\frac{-x}{2} + 4[/tex]
The equation of the line is y = [tex]\frac{-x}{2} + 4[/tex]
POLYNOMIALS MULTIPLICATION 2
(3x-1) (x^2-4x+5)
What is the product of the polynomials in standard form?
it’s on the bottom ~~~
legit only or u get banned
For which of the following inequalities is
x= 9 a solution?
A. 8x> 72
B. x + 52 > 64
C. 6x254
D. 9x < 81