Answers
Answer:
Step-by-step explanation:
first you need to figure out what your solving for We will set the first derivative of the function to zero and solve for x to get the critical point. If we take the second derivative or f''(x), then we can find out whether this point will be a maximum or minimum. If the second derivative is positive, it will be a minimum value.
Related Questions
How do you do this step by step?
-7 + 9 + (-8)
Answers
Step-by-step explanation:
-7 + 9 + (-8)
2 + (-8)
-6
Hope this helps! :)
Step-by-step explanation: Remove parenthesis. If there is a "+" in front of an expression in parenthesis, the expression remains the same.
-7+9-8. Calculate the sum or difference. You should get -6.
One weekend, 5,780 people saw a new movie at 17 different theaters. Each theater sold tickets at $7.50 a piece. If each theater received the same number of moviegoers, how much did each theater make?
Answers
The amount that each theater make if they received the same number of moviegoers will be $2550.
How to calculate the amount?From the information, 5,780 people saw a new movie at 17 different theaters and each theater sold tickets at $7.50 a piece.
Therefore, the amount that each theater make if they received the same number of moviegoers will be:
= (5780 × $7.50) / 17
= $43350 / 17
= $2550
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Gross Income 3 Ted gets paid a monthly salary of $5,000 and receives 6% commission on all sales over $8000. 1 point Which of the following is an equation that can be gross income? y = 5000+ 6(x - 8000) y = 5000+.06 (x - 8000) y = 8000 +.06 (x - 5000) O y = 5000+.06 (8000 - 2) Previous 3 4
Answers
Given that,
base salary = b = 5000$
Comission rate = 6% = 0.06
Let's say, the sales are = x
As given in the question, he receives 6% commission on all sales over $8000.
Hence, the commissionable amount is (x - 8000) '.' x - 8000 shows the amount greater than 8000, which receives a commission.
hence, gross income will be
base salary + commission * (commisonable amount)
=> 5000 + 0.06 * (x - 8000)
Four years after paying $2700 for shares in a startup company, you sell the shares for $1300 (at a loss).
Answers
Based on the amount you paid for the shares and the selling price as well as the number of years, the total return would be -51.9%
The annual return would be -16.7%
How to find the total return?The total return on the stock can be found by finding the difference in stock prices for the 4 years and dividing by the buying price:
= (1,300 - 2,700) / 2,700 x 100%
= -1,400 / 2,700 x 100%
= 0.51851851851851851851851851851852 x 100%
= -51.9%
The annual return can be found as:
= ((1,300 / 2,700) ^ 1/4 - 1) x 100%
= -16.7%
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PLEASE HELP ITS DUE SOON! I DONT GET ANY OF THIS! HELP WOULD BE MUCH APPRECIATED! NEED THIS DONE BEEN STUCK ON THIS FOR WAY TO LONG!
YOU WILL GET 100 POINTS IF YOU HELP! QUESTION DOWN BELOW!!!!!
THIS IS MY LAST QUESTION!!
Answers
Answer:
Step-by-step explanation:
statement:
1 = 2
reason:
since 1 and 4 are equal to each other and because lines AB and CD are parallel, any line crossing both lines will create the same angles in the same areas, thus connecting 4 and 2 together. And since 4 is equal to 1, it is also equal to 2.
I hope this helps!
Answer:
statement is 1=2
reason: since 1 and 4 are eqaul to eachothers and beacause lines AB CD are parelle, any line crossing both lines will create the same angels and same area
Ms.Macncheese has 7 plates of fish sticks if she ate 4 how many dose she have left?
A. 3
B. 2
C.1
D.11
Answers
Answer:
3
Step-by-step explanation:
7 - 4 is 3
Delta Simply Fraction Exponent
Answers
What is the surface area of the cube below?
A. 96 units²
B. 120 units²
C. 64 units²
D. 80 units²
Answers
Answer:
C. 64 units squared
Step-by-step explanation:
do 4•4•4 so 4 • 4 = 16 then 16 • 4 = 64 and since its surface area square it. so the answer would actually be 4096 units
What number can be divided into 9 equal groups without a remainder?
A. 256
B. 387
C. 424
D. 532
Answers
Answer:
B
Step-by-step explanation:
387/9 = 43
1. In 2003, the U.S. imported one million, eight hundred seventy thousand 2 barrels of crude oil per day. In 1988. the U.S, imported only nine hundred eleven thousand barrels per day. How many fewer barrels per day did the U.S. import in 1988? Write the equation.
Answers
Let's begin by identifying key information given to us:
Import (2008) = 1,870,000 bbl
Import (2008) =
Given the right △△DEF, DE = 30, EF = 72 and DF = 78. Find the cos F=
Answers
see the figure below to better understand the problem
cos(F)=EF/DF --------> by CAH
substitute given values
cos(F)=72/78
simplify
cos(F)=12/13Option CAt the nearest wholesale store, 3 bags of cereal cost $21.75. Which equation represents the proportional relationship?
Answers
The cost of the 5 bags using proportionality method is: $36.25
What is proportionality?
In mathematics, the term proportionality can be defined by considering a two quantities in constant ratio. And the two quantities can be recognized as the variable y and x. Where, the variable y is defined as directly proportionate to the changes in the variable x which is based on its constant ratio.
According to the question, the given data states that 5 bags will cost $36.25.
By using proportionality method to solve the given statement. Put the price over the number of bags
21.75 x
---------- = ---------
3 bags 5 bags
Using cross products defined in standard mathematics,
21.75 * 5 = 3x
108.75 = 3x
Divide each side by 3
108.75/3 = 3x/3
36.25 =x
5 bags will cost 36.25
Hence, the cost of the 5 bags using proportionality method is: $36.25
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Correct Question:
At the nearest wholesale store, 3 bags of bulk cereal cost $21.75. At this rate, how much would 5 bags of bulk cereal cost?
What's the missing side
Answers
Therefore if we multiply 35 by 1.5 it would be:
52.5
i want to plant 45 sunflower plants and 63 tomato plants in my garden. if i put the same number of plants in each row with only one type of plant in each row, what is the greatest number of plants i can put in one row? Show evidence
Answers
9 is the greatest number of plants in one row.
What is HCF?The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
To find the greatest number of plants she can put in one row , need to find
HCF of 45 , 81 and 63
45 = 3× 3 × 5 = 3² ×5¹
63 = 3 ×3 × 7 = 3² × 7¹
HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
HCF = product of common factors of least power
HCF = 3² = 9
Hence greatest number of plants she can put in one row is 9
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Together, Nora and Addison own 152 shares of stock. Nora has 4 less than three times Addison's amount. How many shares does each girl have?
Answers
Dora have 144 shares of stocks while Addison have 37 shares of stocks.
Let us say that Addison own X shares of stock.
According to the situation provided,
The number of shares of stocks own by Dora are 4 less than 3 times of the Stocks owned by Addison.
Stocks Owned by Dora = 3x - 4
The total shares of stocks are 152.
So, we can write the relation between the stocks as,
x + 3x - 4 = 152
4x - 4 = 152
The above formed relations between the stocks is in the form of linear equation in one variable. A linear equation has highest power of variable equal to 1 and only one variable.
Now, solving the equation further,
4x - 4 = 152
4x = 148
x = 37
The total numbers of stocks owned by Addison are 37.
Shares of stocks owned by Dora are 3(37)-4.
The share of stocks owned by Dora are 144.
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Speed is calculated by the equation S = d/t, where S = speed, d = distance, and t = time travelled. For what amount of time (in hours) did a car travel if its speed was 75 miles per hour and it travelled a distance of 187.5 miles?
Answers
We get from the question the following equation:
S = d/t
We have the following informations:
Speed(S) = 75 miles /h
Distance(d) = 187.5 miles
If you plug those informations into the formula, you'll get the following:
75 miles/h = 185.5 miles/ t
Now, you just have to solve for "t". If you invert the equation, you'll get(I'm going to omit the units, to make it clearer, but don't forget about them!)
1/75 = t / 185.5
If you multiply both sides by 185.5, you'll get
185.5/75 = t
Solving this calculation, we get the final solution!
t = 185.5/75 hours = 2.47 hours
a square flowerbed has an area of 12 sq feet.find length of pne side of the square in ft/in rounded to the nearest in.
Answers
Area of square = L x L
12sq feet =L x L
[tex]\begin{gathered} L=\sqrt[]{12} \\ L=3.46\approx3\text{ f}eet \end{gathered}[/tex]3. Solve the absolute inequality |2x + 3| < x + 6
Answers
Answer
The solution is
-3 < x < 3
Explanation
To solve an expression with the absolute value symbol. we obtain two solutions for it.
We first solve when the other side of the equation to the absolute value symbol has positive sign.
Then, we obtain another solution by setting that other side (the right-hand side) to negative. For equations involving inequality signs, the second solution usually changes the inequality sign.
| 2x + 3 | < x + 6
First solution
2x + 3 < x + 6
2x - x < 6 - 3
x < 3
Second solution
2x + 3 > -(x + 6)
2x + 3 > -x - 6
2x + x > -6 - 3
3x > -9
Divide both sides by 3
(3x/3) > (-9/3)
x > -3
So, the solution written together,
x > -3 and x < 3
together, it is
-3 < x < 3
Hope this Helps!!!
A machine used to paint white lines on a road uses 250 litres of paint for
each 8km of road marked. Calculate:
a how many litres of paint would be needed for 200km of road
b what length of road could be marked with 4000 litres of paint.
Answers
a) Amount of paint needed for 200 km road = 6250 litres
b) Length of road that can be painted by using 4000 litres of paint = 128 km
Amount of paint used for painting white lines on road= 250 litres
Length which was painted = 8 km
By using unitary method;
Thus for 1 km amount of paint required = 250/8
= 31.25 litres
a) Amount of paint needed for 200 km road = 31.25 × 200
= 6250 litres.
therefore, Amount of paint needed for 200 km road = 6250 litres
b) Since for 1 km 31.25 liters paint is required this implies with 1 liter = 1/ 31.25 = 0.032 km can be covered.
Length of road that can be painted by using 4000 litres of paint = 4000× 0.032
= 128 km
Thus, Length of road that can be painted by using 4000 litres of paint = 128 km
What is unitary method?A single or unique unit is referred to as unitary. Determining values in relation to a single unit is the goal of this strategy. For instance, we can use the unitary technique to determine how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.
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How many ways can you arrange 4 books on a shelf?
Answers
In order to find the number of ways, we must simply calculate:
4! = 4*3*2*1 = 24
24 possible ways.
Determine if the function below is continuous.A. not continuous, >2 holesOB. not continuous, 1 holeOC. not continuous, 2 holesOD. continuousReset Selection
Answers
Given:
A graph
To determine if the given function is continuous, we first note that the given function has gaps or holes. As we can see, the function has two holes.
We must also remember that a function that has any hole or break in its graph is known as a discontinuous function.
Therefore, the answer is:
[tex]C.\text{ not continuous, 2 holes}[/tex]
1 ptsQuestion 22The point A(8,-6) has been transformed using the composition T-15) • r(180,0). Where is A?0 (71)o 17, -1)0 (-7,1)0 (-7, -1)+ Previous
Answers
You have to perform two transformations the first one is a 180º rotation with respect to the origin r(180º,O) and the second one is a translation of one unit left and 5 units up T(-1,5)
Given point A(8,-6)
To make a 180º rotation you have to invert the signs of both coordinates, following the rule:
[tex](x,y)\to(-x,-y)[/tex]For point A, the rotation is the following:
[tex]A(8,-6)\to A^{\prime}(-8,--6)=(-8,6)[/tex]Once you rotate the point, you have to perform the translation T(-1,5). The rule for the translation can be expressed as follows
[tex](x,y)\to(x-1,y+5)[/tex]So, the translation of point (-8,6) is:
[tex]A^{\prime}(-8,6)\to A^{\doubleprime}(-8-1,6+5)=(-9,11)[/tex]An inverse variation includes the points (10, 2) and (n, 4). Find n.
Answers
SOLUTION
An inverse variation is given as
[tex]\begin{gathered} a\text{ }\propto\text{ }\frac{1}{b} \\ \text{Introducing a constant k, we have } \\ a\text{ = }\frac{k}{b} \end{gathered}[/tex]Putting a = 10 and b = 2, we have;
[tex]\begin{gathered} 10\text{ = }\frac{k}{2} \\ k\text{ = 10 x 2 = 20 } \end{gathered}[/tex]The relationship becomes
[tex]\begin{gathered} a\text{ = }\frac{20}{b} \\ \text{Putting a = n, and b = 4, we have } \\ n\text{ = }\frac{20}{4} \\ \\ n\text{ = 5} \end{gathered}[/tex]Therefore, n = 5
"I just made a purchase of $130.00 but, once I got to my car and looked at the receipt, I realized that the salesperson who helped me did not apply the 15% discount."
Employee: "I sincerely apologize for our oversight. I will refund __________ back to your credit card."
Answers
Answer:
19.5
all you had to do was divide 15% with 130.00
please Solve for brainliest and 20 points
Answers
Answer:
g=30
Step-by-step explanation:
Answer:
g = 28
Step-by-step explanation:
( n - 2 ) × 180
( 30 - 2 ) × 180
( 28 ) × 180 = 5040
6g × 30 = 180g
5040 = 180g
÷180 ÷180
--------------------
28 = g
I hope this helps!
the function shown is in the form y= ( x - h)² Determine the value of h.A) -1 B) 1C) 2D) -1/2
Answers
INFORMATION:
We have the graph of a function that has the form y = ( x - h)² and we must find the value of h.
STEP BY STEP EXPLANATION:
we can see that the graph is a parabola which its vertex is at the point (2, 0)
Now, having this point we can replace the values of its components in the formula of the function
Since the point is (2, 0), then x = 2 and y = 0
[tex]0=(2-h)^2[/tex]Finally, we must solve the equation for h
[tex]\begin{gathered} 0=(2-h)^{2} \\ \sqrt[]{0}=2-h \\ 0-2=-h \\ 2=h \\ h=2 \end{gathered}[/tex]ANSWER:
C) 2
the answer choices area. y = 1/3x +2b. y = 2x + 1/3c. y = -1/3x. + 2d. y = -2x - 1/3
Answers
We have to find the line equation of the function shown. We see that passes through the points:
[tex](0,2)\text{ and }(3,1)[/tex]For doing so, we will find the slope and the y-intercept. The slope is given by the expression:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x₁,y₁) and (x₂,y₂) are two points of the line. In this case, replacing we obtain:
[tex]m=\frac{1-2}{3-0}=\frac{-1}{3}=-\frac{1}{3}[/tex]And thus, the slope is - 1/3. Now, for the y-intercept, we remember that when the x-coordinate is 0, the y-intercept is the y-coordinate.
As the line passes through the point (0,2), the y-intercept will be 2.
Putting those two together, the equation of the line will be:
[tex]\begin{gathered} y=mx+b \\ y=-\frac{1}{3}x+2 \end{gathered}[/tex]Can you teach me how to divide fractions?
Answers
We illustrate the division of fractions by taking the example below.
[tex]\frac{5}{7}\div\frac{25}{14}[/tex]The first step is to change the division sign to multiplication by changing the fraction after the division sign.
[tex]=\frac{5}{7}\times\frac{14}{25}[/tex]Next, we multiply the numerators together and the denominators together.
[tex]=\frac{5\times14}{7\times25}[/tex]You then simplify by dividing common factors.
[tex]\begin{gathered} \\ =\frac{5}{25}\times\frac{14}{7} \\ =\frac{1}{5}\times2 \\ =\frac{2}{5} \end{gathered}[/tex]daryl has 1/4 of a pound of chocolate he wants to divide it into 2 equal parts for his siblings how much will each sibling get
Answers
To divide the 1/4 of a pound into two equal parts, it is necessary to divide 1/4 by 2, as follow:
(1/4)/2
if 2 is written as 2/1, the previous quotient can be written as a product:
(1/4) (1/2) = 1/8
Now, to write a general expression that takes into account the number of siblings, you name the number of siblings as x. Thus, you have:
(1/4)/(x) = 1/(4x)
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.
Slope: 0
Ordered Pair: (-9,7)
Answers
The equation of the line woth slope 0 and passing through (-9,7) in slope-intercept form is y = 7.
If a line L has a slope M and it has the intercept c, then the equation of the line L can be written in the point slope form as,
L : y = Mx + c
This above equation of line is known as slope-intercept form of line.
Here, we have to find the equation of line which has slope m equal to zero and passing through (-9,7).
putting the known values in y = mx+c
y = (0)x+ c
y = c
Putting the value of y = 7
c = 7
Here, we have,
y = 7
So, the equation of the required line is y=7.
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