Answers
Step-by-step explanation:
First calculate: f (x+h) = -3 (x+h)^2 + 5 ( x+h) + 4 then expand :
- 3x^2 -6 xh - 3 h^2 + 5x + 5h + 4
Now subtract f(x) ....and divide the whole thing by h
[ -3x^2 - 6 xh - 3h^2 + 5x + 5h + 4 - ( -3x^2 + 5x +4) ] / h
= (- 6xh - 3h^2 + 5h ) / h
= -6x - 3h+ 5 <===== difference quotient
Answer:
-3(x + h)^2 + 5(x + h) + 4
-3(x^2 + 2xh + h^2) + 5(x + h) + 4
-3x^2 - 6xh - 3h^2 + 5x + 5h + 4
Now apply the Difference Quotient:
(-3x^2 - 6xh - 3h^2 + 5x + 5h + 4 - (-3x^2 + 5x + 4)) / h =
(-6xh - 3h^2 +5h) / h = -6x - 3h + 5
Related Questions
A sleep study was given to 20 randomly selected people between the ages of 1 and 16. The graph shows the relationship between the age of the person and the number of hours they slept.
Which of the following describes the pattern of association between the variables, based on the graph?
There is a positive linear association.
There is a positive nonlinear association.
There is a negative linear association.
There is a negative nonlinear association.
Answers
There are 18 students in the math club.
Of the 18 students, 1/6 have red hair. How many of the students have red hair?
Part b: of the 18 students, 4/6 have brown hair. How many of the students have brown hair?
Part c:
What is the relationship do you notice between the number of students with brown hair and the number of students with red hair?
Answers
a:1/6×18/1=18/6 when simplified is 3
b:4/6×18/1=72/6 when simplified is 12
c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
Answers
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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Please show your steps
Answers
Answer:
M of aftershock = 4.90
Step-by-step explanation:
5.6 = log(x/1)
\(10^{5.6} = 398107.1 \\\)
1/5 * 398,107.1 = 79,621.4
\(10^{m} =\) 79,621.4
m = log (79,621.4) = 4.90
16 is what percent of 20?
Answers
Answer:
3.2
Step-by-step explanation:
0.8 * 100 = 80
Solution: 80%
The two top concert tours in 2016 were concert A and concert B. Based on average ticket prices, it cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B. Three tickets for concert B cost a total of $687. How much did an average ticket cost for each tour?
Answers
The average ticket cost for each concert is given as follows:
Concert A: $188.83.Concert B: $95.67.How to obtain the ticket costs?The ticket costs are obtained by a system of equations, for which the variables are given as follows:
Variable a: cost for Concert A.Variable b: cost for Concert B.It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:
6a + 6b = 1707
a + b = 284.5.
Three tickets for concert B cost a total of $687, hence the cost for concert B is of:
3b = 687
b = 287/3
b = $95.67.
Replacing into the first equation, the cost for concert A is given as follows;
a = 284.5 - 95.67
a = $188.83.
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Explain the difference between an indefinite integral and a definite integral.
A) An indefinite integral, after evaluating it at the limits of integration, results in a particular number. A definite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
B) A definite integral, after evaluating it at the limits of integration, results in a particular number. An indefinite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
C) An indefinte integral cannot always be integrated analytically and may require numeric integration, while it is always possible to integrate a definite integral. Definite integrals always return a real number after evaluation at its limits of integration.
D) A definite integral is defined and continuous over the interval of integration and has finite limits of integration. An indefinite integral is also defined and continuous over the interval of integration, but may have as a limit of integration.
Answers
The answer is A.
An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).
A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫
a
b
f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.
In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.
If your base pay is 10000 your commission rate is 40% you sell 15 cars and you earn 40000 how much does each car cost
Answers
Answer: $4,000
Step-by-step explanation:
If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.
Since the commission rate is 40%, we can set up the equation:
40% x Total Sales = Commission Earned
We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:
40% x Total Sales = Commission Earned
40% x (15 x Price per Car) = $30,000
6 x Price per Car = $30,000
Price per Car = $5,000
However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:
Commission per Car = 40% x Price per Car
Commission per Car = 40% x $5,000
Commission per Car = $2,000
Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:
Amount earned per Car = Total Earnings / Number of Cars Sold
Amount earned per Car = $40,000 / 15
Amount earned per Car = $4,000
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
rate= 5 in
height= 2 in
to find:the volume of the cylinder in terms of pi.
solution:\(v = \pi {r}^{2} h\)
\(v = {r}^{2} h\)
\(v = {5}^{2} \times 2\)
\(v = 50\pi \: {in}^{3} \)
volume=pi r^2 h
volume= 5^2×2
volume= 50 pi in^3
hope this helps
Evaluate h(t)=50-t/5
h(35)=
Answers
You just put in 35 in for t. 35/5 = 7, 50 - 7 = 43.
show how you would use partial products to solve 3x12
Answers
Answer:
(10x3) + (2x3)
Step-by-step explanation:
break down the number with two place values (just for this case) and those numbers would be 10+2 so then you multiply each number by 3
:) hope this helps doll!
The required product of 3 × 12 by the partial product method is 36.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
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,
The partial product of 3 × 12 is given as
= 3 × (10 + 2)
= 3 × 10 + 3 × 2
= 30 + 6
= 36
Thus, the required product of 3 × 12 by the partial product method is 36.
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Help meeeeeeeeeeeeeeeeeeee
Answers
Answer:
Dependent
Step-by-step explanation:
When the probability is AND, it is dependent. You *have* to get the A outcome for A and B to be valid.
Identify the absolute extrema of the function642f(x) = 2x +X+1, x>0
Answers
We are given the following function and we have to find its absolute minimum:
\(f(x)=2x+64x^{-2}+1,x>0\)The first step to solve this problem would be to take the derivative of the function and set it equal to 0. This is because extrema occur at points where the slope is equal to 0:
\(f^{\prime}(x)=2+(-2)64x^{-3}=2-128x^{-3}\)Now, let's set the function to 0 and solve for x:
\(\begin{gathered} 2-\frac{128}{x^3}=0 \\ 2=\frac{128}{x^3} \\ 2x^3=128 \\ x^3=64 \\ x=4 \end{gathered}\)Now we know that there is one critical point, which occurs when x equals 4. Since there is only one critical point, this must be the absolute minimum value. We can now plug x=4 into the original function to solve for the y value:
\(\begin{gathered} f(x)=2x+\frac{64}{x^2}+1 \\ f(4)=2(4)+\frac{64}{4^2}+1=8+\frac{64}{16}+1=8+4+1=13 \end{gathered}\)Therefore, the absolute minimum is 13 and occurs at the x-value 4 (minimum corresponds to the y-value that we calculated)
En cierto laboratorio se cultiva la cepa de una bacteria, causal de múltiples problemas. Con fin de determinar la rapidez de reproducción de dicha bacteria, esta se coloca en un medio de crecimiento y condiciones favorables. La población existente es de 250 bacterias y se observa que cada hora se duplica la cantidad
Answers
The exponential function giving the number of bacteria after x hours is given as follows:
\(y = 250(2)^x\)
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 250, b = 2.
Hence the function is given as follows:
\(y = 250(2)^x\)
Missing InformationThe problem asks for the exponential function giving the number of bacteria after x hours is given as follows:
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Which ordered pair satisfies the inequality? 6x + 5y < -15
Answers
The ordered pair of the inequality 6x + 5y < -15 are (2, 0) and (3, 2).
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Considering the provided inequality and the provided ordered pairs, we will check it by replacing one by one in the inequality; if the inequality is fulfilled, they are the solution; otherwise, they are not, so we obtain:
(2, 0):
6x + 5y > 2
6(2)+5(0)>2
12+0>2
12>0
Since the inequality holds, then the ordered pair is a solution.
(7, -8):
6x + 5y > 2
6(7)+5(-8) > 2
42-40>2
2>2
Since the inequality is not satisfied, then the ordered pair is not a solution.
(3, 2):
6x + 5y > 2
6(3)+5(2) >2
18+10>2
28>2
Since the inequality holds, then the ordered pair is a solution.
(-8, 6):
6x + 5y > 2
6(-8)+5(6) >2
-48 + 30 > 2
-18 > 2
Since the inequality is not satisfied, then the ordered pair is not a solution.
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x = −10, y = −1/5
“Exercises 11-13, the variables x and y vary inversely. Use the given values to
write an equation relating x and y. Then find y when x = 3.”
pls help
Answers
The equation that relates x and y is x = 2/y and the value of y when x is 3 is 2/3
What is inverse variation?Inverse variation is the relationship between two variables, such that if the value of one variable increases then the value of the other variable decreases.
If x varies inversely as y, then ,
x = k/y
k = xy
when x = -10, and y = -1/5
then K = -10 × -1/5 = 2
therefore the equation that relates between x and y is
x = 2/y
when x = 3, y is calculated as;
3 = 2/y
3y = 2
divide both sides by 3
y = 2/3
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A colony of bacteria grows by 5% every hour. How long does it take for the colony t
double in size?
Answers
Answer: 20 hrs
Step-by-step explanation:
One card is selected at random from a deck of cards. Determine the probability that the card selected is a card greater than 3 and less than 8.
Answers
Answer:
4/13
Step-by-step explanation:
Count all cards that are 4, 5, 6, and 7 (each of 4 different suits) so the number of cards that is greater than 3 and less than 8 = 4(4) = 16.
There are 52 cards in a standard deck of cards.
P(greater than 3 and less than 8)
= 16/52
= 4/13
There are 32 chickens and 12 sheep on a farm. The ratio of sheep to horses is 4:1. Write a ratio expressing the relationship between the chicken and the sheep. Then explain what that ratio means. Determine the number of horses on the farm.
Answers
This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:
\(12 * 0.25 = 3\)
What is ratio?Ratio refers to the quantitative relationship between two or more quantities, expressing the proportion of one quantity to the other(s). It is typically expressed as a fraction, where the numerator represents one quantity, and the denominator represents the other quantity.
For example, the ratio of the number of boys to the number of girls in a class of 30 students might be expressed as 2:3, which means there are 20 girls and 10 boys in the class. Similarly, the ratio of the length to the width of a rectangle might be expressed as 4:3, indicating that the length is four times greater than the width.
The ratio of sheep to horses is 4:1, which means that for every 4 sheep on the farm, there is 1 horse. We can also say that the total ratio of sheep and horses on the farm is 4+1=5.
To express the relationship between the chickens and the sheep, we need to use the fact that there are 32 chickens and 12 sheep on the farm. We can write this as a ratio:
\(chickens : sheep = 32 : 12\)
We can simplify this ratio by dividing both sides by 4:
\(chickens: sheep = 8: 3\)
This means that for every 8 chickens on the farm, there are 3 sheep.
To determine the number of horses on the farm, we can use the fact that the total ratio of sheep and horses is 5. We know that the ratio of sheep to horses is 4:1, so we can write:
\(sheep : horses = 4 : 1\)
We can simplify this ratio by dividing both sides by 4:
\(sheep : horses = 1 : 0.25\)
This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:
\(12 * 0.25 = 3\)
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Can you use any two of the given data points in a scatter plot to write an equation for a trend line? Explain.
Answers
Answer:
Use graph paper to create a scatter plot. Draw the x- and y- axes, ensure they intersect and label the origin. Ensure that the x- and y- axes also have correct titles. Next, plot each data point within the graph. Any trends between the plotted data sets should now be evident.
Find the solution of the system for which
Answers
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
Which model represents this word problem? Tom read 12 pages of a book. There are 30 pages left to read. How many total pages are in the book?
Answers
Call the total amount of books TT - 30 = 12T = 30 + 12 = 42
Answer:
there are 42
Step-by-step explanation:
because 12 + 30 = 42 hope this helps =)
5^11/5^?=5^4 i need help with this
Answers
Answer:
7
Step-by-step explanation:
you do 11-4 to get 7, which is how you solve for missing expontentials
Step-by-step explanation:
\( \frac{ {5}^{11} }{ {5}^{x} } = {5}^{4} \\ {5}^{x} = \frac{ {5}^{11} }{ {5}^{4} } \\ {5}^{x} = {5}^{(11 - 4)} = {5}^{7} \\ \boxed{x = 7}\)
7 is the right answer.Pls help step by step (special right triangles)
Answers
Value of base and hypotenuse of triangle are 9√3 and 18 respectively.
Define right triangleA right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem, that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Height of triangle=9
Base of triangle=y
Hypotenuse of triangle=x
Using trigonometric ratio
Sin30°=Height/Hypotenuse
½=9/x
x=18
Cos30°=Base/hypotenuse
√3/2=y/18
y=9√3
Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.
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What value of x makes the equation 4(5 - 7x) = 6 - 12x true?
Record your answer in the boxes below.
Answers
Answer:
4(5 - 7x) = 6 - 12
20-28x=6-12x
Subtract 20 from both sides
20-28x-20=6-12x-20
Simplify
-28x=-12x-14
Add 12x to both sides
-28+12x=-12x=-12x-14+12x
Simplify
-16x=-14
Divide both sides by -16
-16/-16 = -14/-16
Anw
7/8= 0.875
help me with this plzzz
Answers
Answer:
b is the answer
Step-by-step explanation:
if you look at the graph chart you will notice that b lines up with negative 4 and positive 2
K'
-8,8
,
L'
8,8
,
M'
-4,8
i need help finding the new coordinate. and scale factor is 1/2
Answers
Answer:
Step-by-step explanation:
To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.
For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).
You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).
I hope this helps! Let me know if you have any questions.
A line has a slope of 2 and passes through the point ( – 4, – 8). Write its equation in slope-intercept form.
Answers
Answer:
b=0
Step-by-step explanation:
y=mx+b
-8=2(-4)+b
-8=-8+b
8+(-8)=b
0=b
b=0
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answers
Answer:
Check pdf
Step-by-step explanation:
The price of apples is 3 for $2.00.
1. how much do you pay for 30 apples?
2. how many apples can you buy for 10?
Ratios
Answers
Answer:
1) $15 2) 10 apples
Step-by-step explanation:
First off you would do 30 divided by 2.00 which is 15.
Then for 2 the answer is 5 because if you 10 divided by 2 which gives you five
Your welcome! :))