Given that (1,5) is on the graph of f(x), find the corresponding point for the function f(x-1)
Add.
(6x^3+3x^2−2)+(x^3−5x^2−3)
Express the answer in standard form.
What is the standard form equation of the line shown below? Graph of a line going through negative 3, negative 1 and 3, 2 y + 1 = one half(x + 3) y = one halfx + five halves −x + 2y = 1 x − 2y = −1
Answer:
The correct answer is D, "x − 2y = −1."
Step-by-step explanation:
I just completed the test.
If the ratio of soccer balls to footballs is 7:6 and the ratio of footballs to basketballs is 2:1, what is the ratio of soccer balls to basketballs?
Find the distance between the points t(13, 1.6)t(13, 1.6) and v(5.4, 3.7)v(5.4, 3.7).
7.88 units is the distance between points T(13, 1.6) and V(5.4, 3.7).
To find the distance between the points T(13, 1.6) and V(5.4, 3.7), we can use the distance formula:
Distance formula:
For two points [tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex], the distance between them is [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.[/tex]
Let's plug in the coordinates of points T and V:
Distance = [tex]\sqrt{(5.4 - 13)^2 + (3.7 - 1.6)^2}[/tex]
= [tex]\sqrt{(-7.6)^2 + (2.1)^2}[/tex]
= √(57.76 + 4.41)
= √62.17
= 7.88.
So, the distance between points T(13, 1.6) and V(5.4, 3.7) is approximately 7.88 units.
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Which equation can be used to find the answer? an aquarium worker removed 78 fish from a tank. there were still 186 fish left in the tank. how many fish were in the tank before any were removed?
a. f ÷ 2 =78 f = 156 156 fish
b. f ÷ 2 =186 f = 372 372 fish
c. f – 78 = 186 f = 264 264 fish
d. f + 78 = 186 f = 108 108 fish?
Answer:
f/2=186 fish
186 x 2 = 372
372 fish left in the tank
Step-by-step explanation:
What is 8 21/40 I don't understand how to do it
State whether each sequence is arithmetic or geometric, and then find the explicit and recursive formulas for each sequence.
Part1. 10,15,20,25,30.. Step 1.State whether this sequence is arithmetic or geometric and find the explicit formula. show your work. Step 2. find the recursive formula. Show your work.
Part 2. 2,6,18,54,162.. Step 1. State whether this sequence is arithmetic or geometric and find the explicit formula. show your work. Step 2.find the recursive formula. Show your work
Final answer:
The first sequence is arithmetic with an explicit formula of a_n = 10 + (n - 1) × 5 and recursive formula a_n = a_(n-1) + 5, a_1 = 10. The second sequence is geometric with an explicit formula of a_n = 2 × 3^(n-1) and recursive formula a_n = a_(n-1) × 3, a_1 = 2.
Explanation:
Analysis of Sequences
The first sequence: 10, 15, 20, 25, 30... increases by a constant amount of 5 which is an indication of an arithmetic sequence. The explicit formula for an arithmetic sequence is a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference between the terms. In this case, a_1 = 10 and d = 5. Hence, the explicit formula is a_n = 10 + (n - 1) × 5. The recursive formula for an arithmetic sequence is a_n = a_(n-1) + d, which would translate to a_n = a_(n-1) + 5 with a_1 = 10.
The second sequence: 2, 6, 18, 54, 162... multiplies by a common ratio of 3 which classifies it as a geometric sequence. The explicit formula for a geometric sequence is a_n = a_1 × r^(n-1), where a_1 is the first term and r is the common ratio. For this sequence, a_1 = 2 and r = 3, so the explicit formula is a_n = 2 × 3^(n-1). The recursive formula for a geometric sequence is a_n = a_(n-1) × r, which for this sequence is a_n = a_(n-1) × 3 with a_1 = 2.
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temperature should remain constant over time. What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly?
Erudite1 is right it will be zero
f(x)=(x^3+6) inverse
The inverse of this function is f(x) = [tex] \sqrt[3]{x - 6} [/tex]
You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) = x^3 + 6 ----> Switch f(x) and x
x = f(x)^3 + 6 ----> Subtract 6 from both sides
x - 6 = f(x)^3 ----> Take the cube root of both sides
[tex] \sqrt[3]{x - 6} [/tex] = f(x) ----> Switch the order for formatting purposes
f(x) = [tex] \sqrt[3]{x - 6} [/tex]
And that would be your new inverse function.
The pair of points is on the graph of an inverse variation. Find the missing value. (2.4, 3) and (5, y) 1.44 6.25 0.69 1
Answer:
Hence, the value of y is:
1.44
Step-by-step explanation:
It is given that:
The pair of points is on the graph of an inverse variation.
(2.4, 3) and (5, y)
We have to find the missing value y in the point.
As we know that in the inverse variation the value of y is the inverse value of x by some k.
i.e. in first point (2.4,3) let 'k' be a number such that:
[tex]3=\dfrac{k}{2.4}\\\\k=7.2[/tex]
Hence, the inverse is k=7.2
Now in the second point (5,y) we find the value of y as:
[tex]y=\dfrac{7.2}{5}\\\\y=1.44[/tex]
Hence, the value of y is:
1.44
Describe the shape of the data for German male adults, and explain how you came to that conclusion. Are there any outliers in the data?
Answer:
the answer is
Step-by-step explanation:
skewed left and 220
Please help, will give brainliest.
If the area of a parallelogram is to remain constant, what change must take place in the base if the altitude is multiplied by three? (1a)____ by(1b) _____. If the altitude is divided by two? (2a)____ by(2b) _____.
1a) A. divide. B. Multiply. C. Addition.
1b) A.6 B.3
2a) A. Divide. B. Multiply
2b) A. 2 B. 6
Please help, will give brainliest.
Answer:
The answers are:
1a --> divide
1b --> 3
2a --> multiply
2b --> 2
By the way, I turned in my assignment and these are the answers on the answer key, so they are correct for sure! :)
You are planning a party to the local pizza arcade for your child's birthday. The cost of a birthday party is $8.95 per person, and you plan to have 12 people at the party.
Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $1040. This year, the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of eqipment as last year. How many bats and gloves did the team purchase each year?
The baseball team purchased 22 bats and 50 gloves last year.
Explanation:To solve this problem, let's use a system of equations. Let x represent the number of bats and y represent the number of gloves purchased last year. We can set up the following equations:
20x + 12y = 1040 (equation 1) 25x + 16y = 1350 (equation 2)
We can solve this system of equations by using either the substitution method or the elimination method. Let's use the elimination method:
Multiply equation 1 by 5 and equation 2 by 4 in order to create equal coefficients for x:100x + 60y = 5200 100x + 64y = 5400 Subtract the equations to eliminate x:(100x + 64y) - (100x + 60y) = 5400 - 5200 4y = 200 y = 50
Now we can substitute the value of y back into equation 1 to solve for x:
20x + 12(50) = 1040 20x + 600 = 1040 20x = 440 x = 22
Therefore, the team purchased 22 bats and 50 gloves last year.
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irrational numbers can never be precisely represented in decimal form . why is this?
There were 25 questions on the test you got a 74 percent what is the number of question you got correct
74% = 0.74
multiply 25 by 0.74
25*0.74 = 18.5
so you got 18 1/2 questions correct
The Environmental Protection Agency (EPA) estimates that the average passenger vehicle emits about 5 1/2 (5.5) metric tons of CO2 each year. How much is this in pounds?
(A) about 12000 pounds
(B) about 120 pounds
(C) about 5500 pounds
Answer:
its A about 12,000 pounds.
Step-by-step explanation:
A stack of four hundred twenty cards is placed next to a ruler, and the height of stack is measured to be 7/8 inches. How thick is one card?
7/8 divided by 420 = 7/8 x 1/420 by inverting
& multiplying
= 7/3360 by multiplying tops together & bottoms together
= 1/480 inch reducing fraction by dividing top & bottom
by 7
(and yes, I know that top is called numerator & bottom is
called denominator, otherwise known as upstairs & downstairs)
Could also work by cross-cancelling earlier, dividing 7 by 7
= 1 and dividing 420 by 7 = 60
leaving 1 x1 on the top & 8 x 60 on the bottom. Will get
same result as before, 1/480 inch.
The sum of 5 consecutive integers is 310 What is the third number in this sequence?
310/5 = 62
60 +61 +62 +63 +64 = 310
3rd number is 62
What's the unit rate for 4 shirts for $32:00
Use compatible numbers to solve the problem 326 divided by 44.
A 340 divided by 32 = 10
B 320 divided by 40 = 8
C 330 divided by 30 = 11
D 352 divided by 44 = 8
PLEASE ONLY ANSWER IF YOU KNOW THE ANSWER FOR SURE
Please explain the answer and why the answer is correct
Answer:
B
Step-by-step explanation:
b is the closest answer to th actual aswer ad the most reasonable
helpppppppppppppppp mathhhhhhhhhhhh
evaluate this piecewise function at x=-4 and x=4
Answer:
When x = –5, y =
3.
When x = –1, y =
-2.
When x = 3, y =
-4
A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely. Show your work. Sn: 1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3
Answer with explanation:
[tex]S_{n}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + n\times(n + 1) = \frac{n(n + 1)(n + 2)}{3}\\\\S_{k}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + k\times(k + 1) = \frac{k \times(k + 1)(k + 2)}{3}\\\\S_{k+1}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + k\times(k + 1)+(k+1) \times (k+2)=\frac{(k+1) \times(k +1+ 1)(k +1+ 2)}{3}\\\\=\frac{(k+1) \times(k +2)\times(k +3)}{3}[/tex]
Sydney has 972$ to spend on tickets. if each ticket costs 27$ how many tickets can she purchase
divide total cost by ticket price
972/27 = 36 tickets
The functions f(x) and g(x) are shown below: f(x) = 5x g(x) = 5x Which statement best describes the graph of f(x) and g(x)?
The graph of f(x) will eventually exceed the graph of g(x).
The graph of g(x) will eventually exceed the graph of f(x).
The graphs will both have their y-intercept equal to 1.
The graphs will both have their y-intercept equal to 5.
The given functions f(x) and g(x) are not exceeding each other at any point as they are same function.
Both the graphs of these functions have same y-intercept of 0.
What is a function?A function is the relation between two sets. A function relates the domain to the range.
Here, f(x) = 5x and g(x) = 5x.
Therefore, both functions are equal and their graph will be same.
Hence, none of them exceeding the other one.
If we compare both functions with standard form: y = mx + c, it is clear that both functions have same y-intercept of 0.
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a square reflecting pool has an area of 183.84 square meters. What is the approximate perimeter of the reflecting pool?
The perimeter of a square reflecting pool with an area of 183.84 square meters is approximately 54.24 meters.
Explanation:The area of a square is calculated by squaring the length of one of its sides. So, to find the side length of the square reflecting pool, we need to take the square root of the area. The square root of 183.84 is approximately 13.56 meters.
Now considering that a square has four equal sides, the perimeter is calculated by multiplying the side length by 4. So, the perimeter of the pool is 13.56 multiplied by 4, which gives us approximately 54.24 meters. Therefore, the approximate perimeter of the reflecting pool is 54.24 meters.
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After you complete your survey of students reported heights at your school, you discover that your sample is biased. Exactly 10% of the students in your sample tended to over report their height more than the average student in the general population at the school. What conclusion can you reach about the mean of the average difference in your sample?
a.It is greater than the mean of the average difference of the population
b.It is less than the mean of the average difference of the population
c.It is exactly 10% greater than the mean of the average difference of the population
d.It is exactly 10% less than the mean of the average difference of the population
Answer:
a. It is greater than the mean of the average difference of the population
Step-by-step explanation:
Given is - Exactly 10% of the students in your sample tended to over report their height more than the average student in the general population at the school.
It is very certain that the sample is biased towards the higher spectrum.
We can say that the real value of the mean is lower than the original value of our sample population.
So, option A is correct.
Which graph below shows a system of equations with infinitely many solutions?
A)coordinate plane with two parallel lines
B)coordinate plane with two intersecting lines
C)coordinate plane with two coinciding lines
D)coordinate plane with two intersecting lines
Answer: C)coordinate plane with two coinciding lines has infinitely many solution.
Step-by-step explanation:
Since, By option A) If there is a coordinate plane with two parallel lines.
Then, It has no solution ( because, we get the solution at the the intersection point of the two lines but parallel lines do not intersect each other).So, it does not have infinite many solution.
By Option B) If there are two intersecting lines then we can get only one solution. So, it does not have infinite many solution.
By Option C) If there are two coinciding lines then we can get infinite number of intersection points therefore the system must have infinite number of solution.
Note: here, Option D) is same as Option B)
Therefore Only option C) is correct.
What are the possible solutions to 33⋅3333⋅33, if 11⋅11=411⋅11=4 and 22⋅22=1622⋅22=16?
Since 11*11 = 4, therefore in this case 11 = 2. Since 22*22 = 16, therefore in this case 22 = 4. So we can see that the common ratio is 2. Based from this, we can say that 33 = 6.
So that:
33*33 = 36