Answer:
x=1
Step-by-step explanation:
We are given that
[tex]\frac{2x^3}{3}+2x^2-6x+4[/tex]
We have to find the value of x for which function is minimum.
Differentiate w.r.t x
[tex]f'(x)=2x^2+4x-6[/tex]
Substitute f'(x)=0
[tex]2x^2+4x-6=0[/tex]
[tex]x^2+2x-3=0[/tex]
[tex]x^2+3x-x-3=0[/tex]
[tex]x(x+3)-1(x+3)=0[/tex]
[tex](x-1)(x+3)=0[/tex]
[tex]x=1,-3[/tex]
Again, differentiate w.r.t x
[tex]f''(x)=4x+4[/tex]
[tex]f''(1)=4(1)+4=8>0[/tex]
[tex]f''(-3)=4(-3)+4=-8<0[/tex]
Hence, the function is minimum at x=1
Translate the given phase into an algebraic expression and simplify if possible: the quotient of -20 and -40.
Answer:
0.5
Step-by-step explanation:
-20 and -40
quotient means divide one another
-20 / -40
= 20/40
= 2/4
= 0.5
I made these into tiny tiny steps, enjoy.
The translation of the simplified algebraic expression for "the quotient of -20 and -40" is [tex]\dfrac{1}{2}[/tex].
A collection of constants, variables or numbers connected using one or more arithmetic operator is called an algebraic expression .
Example = 4y, 3x+4.
The quotient of -20 and -40 can be written as:
[tex]\dfrac{-20}{-40}[/tex]
The expression can be simplified in the lowest form as;
[tex]\dfrac{-20}{-40}[/tex] = [tex]\dfrac{1}{2}[/tex]
So, the simplified algebraic expression for "the quotient of -20 and -40" is [tex]\dfrac{1}{2}[/tex].
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ANSWER ASAP
4 power of 3 +2(3-2).
14
16
66
68
ITS NOT 45
Answer:
245 is the answer to the question
(-12,16) and (-4,-2)find the slope
Answer:
It's -9/4 or -2 1/4. please mark me brainliest <3
Step-by-step explanation:
1) label x1, y1, x2, and y2.
x1 y1 x2 y2
(-12, 16) (-4,-2)
2) Remember the formula is y2-y1
--------
x2-x1
3) substitute
-2-16
--------
-4-(-12)
4) two minuses (negatives) is a positive (+)
so,
-2-16 -18
---------= --------
-4+12 8
5) simplify
-18 divided by 2 -9
----- = ------- or -2 1/4
8 divided by 2 4
Answer:
-1.75
Step-by-step explanation:
Help me find the answer to this please. And also explain how to slove these problems.
Answer:
B and C
Step-by-step explanation:
Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.
A minimum point occurs where all the nearby values are higher than that of the point in question.
A maximum point occurs where all the nearby points are lower than the point in question.
By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)
By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.
I've highlighted areas of interest below so hopefully that's helpful :>
Plz help me with this problem I also don’t understand. Worth 12 points! Only number 8. I need help with.
Answer:
Where is question
Step-by-step explanation:
Heyy can someone help me ¿? ;-; is for today ;-;
Zuleima puts her pebbles on the table. Make groups of 3 and have 1 left. Then make groups of 5 and have 2 left. How many stones does Zuleima have?
Step-by-step explanation:
she has 3 because she make group of five n have one and then make a group of five and had two, so add two plus one it will give u three
Find the values of the variable and the lengths of the sides.
Answer:
C) x=8, 9, 14, 9, 7
Step-by-step explanation:
2x-7=x+1
2x-x-7+7=x-x+1+7
x=8
3. Brenda deposited $225 into an account that earns 7.25% compound
interest. How much will be in her account after six years?"
9514 1404 393
Answer:
$342.43
Step-by-step explanation:
Each year, the account value is multiplied by 1 +7.25% = 1.0725. After 6 years, the value will be ...
$225(1.0725^6) ≈ $342.43
All equilateral triangles are isosceles.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
This statement is true. The definition of an isosceles triangle is a triangle with at least two congruent sides. Since all equilateral triangles have three congruent sides, they fit the definition of an isosceles triangle.
True my friend
jsisisosksksd
Explain how you can tell whether a group of ratios represents a proportional relationship
Answer:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional
Step-by-step explanation:
thx for the free points gl
katy desea alquilar un barca y gastar por menos $54. El barco cuesta $7 por hora y katy tiene un cupom de descuento de $9 dolares. ¿por cuántas horas podria katy alquilar el barc
Answer:
9 horas
Explanation:
$63 por 9 horas
Cupom de descuento de $9
$63 - $9 = $54
Three robots go out to lunch. They decide
to share the $11.91 bill evenly. How much
does each robot pay? WHATS the equation???
Need help on this question, please help!
Answer:
I think it is 50
Step-by-step explanation:
Lesson 4-2
2 Fill in the boxes to find the resulting equation when 25 is subtracted from
each side. Simplify both sides of the equation,
25 + x =
25
31
25
10
Answer:
-25
Step-by-step explanation:
Given the equation 25 + x =
Subtract 25 from both sides
25 + x - 25 = 0 - 25
x = 0 - 25
x = -25
Hence the blank box will be -25
The seats are divided into 40 sections. If hats are to be given in only 5 sections, what is the probability of a guest sitting in a winning section? Record your answer as a fraction in simplest form.
Answer:
P=(Probablility of a guest sitting in a section that gets a hat) =number of ways it can happen/total number of outcomes. =5/40= 1/8
Step-by-step explanation:
The probability of a guest sitting in a winning section is 1/8.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, The seats are divided into 40 sections and hats are to be given in only 5 sections.
Here, N(S) = 40 and N(H) = 5.
Therefore, We know, P(H) = N(H)/N(S).
P(H) = 5/40.
P(H) = 1/8.
Some more concepts of probability are, Conditional probability,
A term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
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Someone help me out thx:(
Answer:
kwdgejyegjyfcsudyg
Step-by-step explanation:
Please help me. I will award brainiest thing.
9514 1404 393
Answer:
55°
Step-by-step explanation:
A couple of auxiliary lines can be helpful.
We see that 45° is an exterior angle to the bottom triangle, which has remote interior angles that must total 45°. This means the interior angle at bottom left must be 45° -15° = 30°.
The upper right interior angle is alternate to that, so is the same measure. The exterior angle x to the upper triangle is then the sum of the remote interior angles:
x = 25° +30°
x = 55°
A line passes through the point (-1,-7) and has a slope of 5
Write an equation in slope-intercept form for this line.
What is the inverse of f(x) = 2x2 -4?
Need answers asap
Answer:
Step-by-step explanation:
The function doesnt have an inverse. In order for a function to actually have an inverse, it has to pass the horizontal line test. The function above has repeating y-values because of the x^2.
With all this said, you can still find the inverse of the function as long as you restrict the domain (x-values) for the function. So, you cant consider the negative x-values.
First, replace f(x) with y and then switch the x and y variables
[tex]x=2y^2-4[/tex]
Then solve for y by adding 4 to both sides, dividing by 2, and finally taking the square root.
[tex]x+4=2y^2[/tex]
[tex]\frac{x+4}{2} =y^2[/tex]
[tex]\sqrt{\frac{x+4}{2} }=y[/tex]
Can someone please answer all of these questions. im begging you please
Answer:
Step-by-step explanation:
highest temp = 5.5°C
lowest temp = -3°C
-4° < -3°, so the outside temp is colder
H) Jorge had 3 pounds of strawberries. He let his friend Matt eat 1/2 of the strawberries. How many pounds of strawberries did Matt eat?
Answer: Matt ate 1.5 pounds of strawberries.
Step-by-step explanation:
3 ÷ 1/2 = 1.5
Answer:
1.5 pounds
Step-by-step explanation:
Total of strawberries = 3 pounds
Mat eat half of the total of strawberries = 1/2 * 3 pounds = 1.5 pounds
How many 1/4 pieces can you cut if a string is 15 ft long
Answer:
60
Step-by-step explanation:
you simply do 15 ÷ .25, which you will get 60.
Answer:
60 1/4 pieces
Step-by-step explanation:
Multiply 15 x 1/4 = 60 pieces
Help ASAP I’ll mark brainliest
Answer: C. 254
Step-by-step explanation: All engineers is the population so this is stats and the number that chose math no matter what kind of engineer is 254
How do I solve this? please help
Answer:
4322 ft^2
Step-by-step explanation:
First, we need a formula. The formula is (50*110) - (3.14*18^2) - (4*40). The answer is 4322 ft^2 (This is the rounded answer)
A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to raise one end of the chain to a height of 4 m?
Answer:
Approximately [tex]4.70 \times 10^{2}\; \rm J[/tex], assuming that [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].
Step-by-step explanation:
When the force [tex]F[/tex] is constant, moving by [tex]\Delta x[/tex] in the direction of the force would do a work of [tex]F \cdot \Delta x[/tex].
However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.
Let [tex]F(x)[/tex] denote the force required to lift the chain when the height above the ground is [tex]x[/tex] meters. At that moment, exactly [tex](x / 10)[/tex] of the chain would be above the ground. The mass of that much of the chain would be [tex](x / 10)\![/tex] the mass of the whole chain.
[tex]\begin{aligned}F(x) &= m(x) \cdot g \\ &= 60 \cdot \frac{x}{10} \cdot g = 6\, g\, x\end{aligned}[/tex].
Integrate with respect to [tex]x[/tex]:
[tex]\begin{aligned}\int \limits_{0}^{4} F(x) \cdot {\rm d} x &= \int \limits_{0}^{4} 6\, g\, x \cdot {\rm d} x \\ &= \left[(3\, g)\, x^{2}\right]_{x=0}^{x=4}\\ &= 48\, g \approx 4.7 \times 10^{2} \end{aligned}[/tex].
In other words, it would take approximately [tex]4.7 \times 10^{2}\; \rm J[/tex] of energy to raise one end of the chain to that height of [tex]4\; \rm m[/tex].
What mathematical term describes both 5.3 and 8.2 in the expression 5.3x-8.2y+11.1?
Answer:
Step-by-step explanation:
Coefficients
The decimal numbers 5.3 and 8.2 represents the coefficient of 'x' and the coefficient of 'y', respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 5.3x - 8.2y + 11.1
The number associated with x is known as the coefficient of 'x'. And the number associated with y is known as the coefficient of 'y'.
The decimal numbers 5.3 and 8.2 represents the coefficient of 'x' and the coefficient of 'y', respectively.
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Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
WHOEVER HELPS AND GETS THESE 3 RIGHT I WILL GIVE BRAINLY TO!!!!!!
Answer/Step-by-step explanation:
16. 4(x + 3) - 5 < 5x + 7
4x + 12 - 5 < 5x + 7
4x + 7 < 5x + 7
Collect like terms
4x - 5x < 7 - 7
-x < 0
Divide both sides by -1
x > 0
17. 24 > -3x
Divide both sides by -3
24/-3 < -3x/-3
-8 < x
x > -8
18. -5(2x - 6) + 3x < 2(2x + 1) - 11x
-10x + 30 + 3x < 4x + 2 - 11x
Add like terms
-7x + 30 < -7x + 2
-7x + 7x < -30 + 2
0 < -28
anie spent 2.5 hours doing homework she spent 1/3 of the time on the history project she spent all remaining time writing an essay how much time did Annie spent writing the essay answer fast!!!!!!!!!!
if a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answer:
(a - √b)
Step-by-step explanation:
Roots occur as positive and negative conjugates. Therefore, the conjugate of (a + √b) is (a - √b)