Answer:
Stationary points are (0, 5) and (4/3, 103/27)
Step-by-step explanation:
At stationary point (turning point), dy/dx :
[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]
but dy/dx = 0:
[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]
let y = x³ - 2x² + 5:
[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]
Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how many minutes did she drive in total
Answer:
Amelia drove 90 miles in 3 hours.
Step-by-step explanation:
she drove 10 miles in 20 minutes
we multiply this by 3, and get
30 miles in an hour ( 60 minutes)
then we multiply this by 3 and get
90 miles in 4 hours (180 minutes) :)
find the decimal equivalent of the fraction 1/6
Answer:
0.16666666666
Step-by-step explanation:
i need this in less than 5 minutes :((
Answer:
5!=120 ways
Step-by-step explanation:
1st colour 5 ways
2nd colour 4 ways
3rd colour 3 ways
4th colour 2 ways
5th colour 1 way
total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways
To verify Pythagoras theorem.
Answer:
The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).
question 17 i need help answer is -16 but don’t know how
Answer:
-16
Step-by-step explanation:
-k² -(3k-5n)+4n k=-1 , n= -2
= -(-1)² - ( 3(-1) -5(-2) )+4(-2)
= -1-(-3+10)-8
= -1-(7)-8
= -1-7-8
= -16
Which matrix multiplication is possible?
o [o 3]-[1 -4
o
:I::
T:
11:40
30
미
1
4
Answer: D
Step-by-step explanation:
dim A=(a,b), dim B=(c,d), in order to multiply, c=b
1) dim A=(1,2) , dim B=(1,2) but 2≠1
2) dim A=(2,1) , dim B=(2,2) but 1≠2
3) dim A=(2,2) , dim B=(1,2) but 2≠1
4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)
simplify the following ；giving your answers in index form
Answer:
[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]
geometry #1 please will give brainliest
Step-by-step explanation:
If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.
i need help i need answered assap no bs
Steps:-
First put the vertices on graph and find Triangle ABC .
Then Transact it the give amount i.e 5units and get A'B'C'
On the test, when Tom simplified the expression he got 5.8. What mistake did Tom likely make when he simplified the expression?
Answer:
It is likely that Tom did not expand brackets fully or forgot to subtract and add from both sides.
Step-by-step explanation:
write 2.5 repeating as a mixed number in simplest form.
Answer:
2 5/9
Step-by-step explanation:
2.5 repeating is 2 5/9 as a fraction (mixed number) or 23/9 (fraction)
The repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.
Here, we have,
To convert the repeating decimal 2.5 to a mixed number in simplest form, we can follow these steps:
Step 1:
Let's assume x = 2.5
Step 2:
Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 25.5
Step 3:
Subtract the original equation from the one obtained in Step 2 to eliminate the repeating part:
10x - x = 25.5- 2.5
9x = 23 (since the repeating part subtracts to zero).
Step 4: Solve for x by dividing both sides by 9:
x = 23 / 9.
Step 5: Express the fraction 23/9 as a mixed number:
23 ÷ 9 = 2 remainder 5.
Therefore, x = 2 remainder 5/9.
so, we get,
Thus, the repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.
To learn more on number click:
brainly.com/question/17429689
#SPJ6
The hole for a support needs to be 5 feet deep. It is currently 1 foot 8
inches deep. How much deeper must the hole be? Use the conversion
factor 12 inches = 1 foot.
Answer:
60
12 inches=1 foot so 12 ×5=60
Answer:
60
Step-by-step explanation:
lol
colo
Irrational Numbers
Place each number in the correct location on the Venn diagram.
11. -
Real Numbers
Rational Numbers
12. - 100
Integers
13.
Whole Numbers
14. 125
G
-5/9 is rational, and its none of the other choices (integer, whole, irrational). So this value goes in the "rational" rectangle, and outside any other region.
The number [tex]-\sqrt{100}[/tex] turns into -10 after simplification. We see that this number is both rational and an integer. The best place for it is inside the "integer" circle. Note how this circle is entirely in the "rational" rectangle. We do not place it in the "whole number" circle because whole numbers are not negative.
The number [tex]\pi[/tex] is irrational since its decimal expansion goes on forever without any known pattern.
The number [tex]\sqrt{25}[/tex] simplifies to 5. This goes in the "whole number" circle.
Check out the diagram below.
x+4+3(x)=x-8
Answer this for me
Step-by-step explanation:
3x= (-8) -4
x=(-12)/3
x= -4
Hello!!! I can help
Answer:
= − 4
Step-by-step explanation:
|-7-1| what is the result
Answer:
your answer is 8
hope this helped
Answer:
8
Step-by-step explanation:
|-7 - 1|
=> |-8|
=> 8
' | | ' represents absolute value
Absolute value of -ve number is +ve
Absolute value of +ve number is + ve
Why might you need to use the addition or subtraction property of equality more than once after you have used the distributive property and combined like terms? Explain. Sample Response: If there is a variable term and a constant on each side of the equation, then you will need to use the addition or subtraction property of equality once to isolate the variable term and once to isolate the constant. Which did you include in your response? Check all that apply. Use the addition or subtraction property of equality once to isolate the variable term. Use the addition or subtraction property of equality once to isolate the constant.
Answer:
We have to use addition or subtraction property of equality to determine the value of variable involve.
Step-by-step explanation:
Example with variable term:
3x=4-x
Add x on both sides of equation:
3x+x=4-x+x
4x=4
x=1
Example with contact involve:
5y+7=12
Subtract 7 from both sides
5x+7-7=12-7
5x=5
x=5/5
x=1
evaluate the expression
Answer:
-213
Step-by-step explanation:
Hi there!
[tex]3|x+y|^2-(xy)^2[/tex]
Replace x with 3 and y with -5
[tex]= 3|3+(-5)|^2-[(3)(-5)]^2\\= 3|3-5|^2-(-15)^2\\= 3(2)^2-225\\= 3(4)-225\\= 12-225\\= -213[/tex]
I hope this helps!
Determine the value of x.
A) 78°
B) 160°
OC) 80°
D) 240°
Answer:
c
Step-by-step explanation:
2. Taj works as a hydrologist for the federal government. He earns an annual salary of $82,900. In addition, he earns a bonus equal to 6% of his annual salary, which is $4,974. What is Taj's annual gross pay? Your answer
Step-by-step explanation:
Please marks me as brainliests..please for my effort...and follow me...what is -x when x= -3
( Evaluate the following expression)
\*/ Algebra 1 \*/ [Algebraic Expressions]
help me please urgent
Answer:
3+ x • {2x} + 5 = 858
Step-by-step explanation:
<33 hoped this helped !!!
TELL ME THIS ANSWER
Answer:
have a great day
god bless you
-4n - 8 = 4 (-3n + 2)
what is n?
Answer:
[tex] - 4n - 8 = 4( - 3n + 2) \\ - 4n - 8 = - 12n + 8 \\ 12n - 4n = 8 + 8 \\ 8n = 16 \\ n = \frac{16}{8} \\ = 2 \\ thank \: you[/tex]
How would I solve this problem
After t hours, the first truck covers a distance of (70 km/h) t while the second truck covers a distance of (80 km/h) t. So the distance between them is
(70 km/h) t + (80 km/h) t = (150 km/h) t
They are 900 km apart after
(150 km/h) t = 900 km ===> t = (900 km) / (150 km/h) = 6 h
Describe how to use a random number generator to simulate the following performances
a) A basketball player has the ability to make 40% of his shots and takes 25 shots in one game.
b) A basketball player has the ability to make 75.2% of her free throw shots and she takes 8 free throws in a game.
Answer:
random number generators return numbers from 0 to 1...
a) generate 25 random numbers if the number x is ≤ .4 he makes the shot
otherwise he misses
a) generate 8 random numbers if the number x is ≤ .752 she makes the shot otherwise it is a miss
otherwise he misses
Step-by-step explanation:
an agent gets a commission of Rs 500 on the sales which amount to Rs 5000 how much will the businessman get from the sales
Step-by-step explanation:
Since commission the commission and is already given then the total sales the businessman gets;Total sales
Rs 5000- Rs 500= Rs 4500
The required amount received by the businessmen is 4500, from the sale.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the money businessman get be x,
According to the question,
x + commission of the agent = 5000
x + 500 = 5000
x = 4500
Thus, the required amount received by the businessmen is 4500.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Help me with this math question, please!
Question: I want 7 halves of a cupcake for myself, 8 halves for my friend, and 5 for my other friend, how many cupcakes do we all want?
Answer:
its 10 trust me
Step-by-step explanation:
The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is
(≧▽≦)( ◜‿◝ )♡
this is symbol for no spamming so don't spam
Each term has a common factor of x + y + z, so
a (x + y + z) + b (x + y + z) + c (x + y + z) = (a + b + c) (x + y + z)
please help. i need steps and everything
Answer:
x = 13, y = 24.
Step-by-step explanation:
5x - 8 + 63 + 7x - 31 = 180 (interior alternate angles are equal).
12x + 24 = 180
12x = 180 - 24 = 156
x = 156/12
x = 13.
4y + 27 = 63 + 7x - 31 (interior alternate angles are equal).
4y +27 = 32 +7(13)
4y = -27 +32 + 91
4y = `96
y = 96/4
y = 24.
g(x) = 3x2 – 2x +7
2x + 5
Find g(-1)
Answer:
ans...g(-1) is 4 . Is it true?
g( ‐1 ) = 7
Step-by-step explanation:
substitute your (x) value with ( ‐ 1)
