what is 10 times as much as 1.0
Find the domain and range of the following function ƒ(x) = 3|x + 7| - 2?
A.Domain: [-2,∞) Range: (-∞,∞)
B.Domain: (-2,∞) Range: (-8∞,∞)
C.Domain: (-∞,∞) Range: [-2,∞)
D.Domain: (-∞,∞) Range: (-2,∞)
Answer:
D.Domain: (-∞,∞) Range: (-2,∞)
is the right answer.
Step-by-step explanation:
Given is a function as
[tex]f(x) = 3|x+7|-2[/tex]
This is an absolute value function hence the minimum value of
|x+2|=0
Hence the range cannot be below -2
For maximum no limit
[tex]Range = [-2,\infty)[/tex]
Domain can be any real value
Hence option d is correct answer.
Answer:
A) domain: (-∞, ∞) range: (-∞, ∞)
Step-by-step explanation:
A rectangle with an area of 120 in 2 has a length 8 inches longer than two times its width. What is the width of the rectangle?
width = x
length = 2x+8
area = l x w
x(2x+8)=120
2x^2+8x−120=0
x^2+4−60=0
(x+10)(x−6)=0
x=−10 and x=6
width has to be a positive number
Width = 6
inches.
A population consists of 200 elements. we want to draw a simple random sample of 40 elements from this population. on the first selection, the probability of an element being selected is
The probability of an element being selected on the first selection of a simple random sample is 0.2.
Explanation:The probability of an element being selected on the first selection of a simple random sample can be calculated by dividing the size of the sample (40) by the size of the population (200).
In this case, the probability is 40/200 = 0.2.
△RST is mapped to △R′S′T′ using the rule (x, y)→(x, −y) followed by (x, y)→(3x, 3y) .
Which statement correctly describes the relationship between △RST and △R′S′T′ ?
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions.
△RST is congruent to △R′S′T′ because the rules represent a reflection followed by a translation, which is a sequence of rigid motions.
△RST is congruent to △R′S′T′ because the rules represent a rotation followed by a translation, which is a sequence of rigid motions.
If a barber is capable of cutting the hair of 35 people per day and he works 7 days per week, how many haircuts could he give during the months of april, may, and june?
6x^2-5x+1
Factor polynomial
Write y-6x-9=0 in function notation
Can a 3 foot-by-9 foot rectangle be a scaled copy of a 3 foot-by-1 foot rectangle? Explain
how to solve log base 5 of x + log base 5 of (4x-1)
To solve for log base 5 of x + log base 5 of (4x-1), combine the two logarithms using the property that the sum of logarithms is equal to the logarithm of the product: log base 5 of x + log base 5 of (4x-1) = log base 5 of (x(4x-1)).
To solve the logarithmic expression log5(x) + log5(4x-1), we can combine the two logarithms using the property that the sum of logarithms is equal to the logarithm of the product. This gives us:
log5(x) + log5(4x-1) = log5(x(4x-1))
So the solution to the expression is log5(x(4x-1)).
Which of the following expressions is equal to 5 - 2m?
7 - 2(m + 1)
7 - (2m - 5)
7 - 2(m - 2)
Suppose a college student pays $500 for tuition fees. However, she also has to pay $350 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?
Answer: Her books represent
percent (as a decimal) of her total costs.
Write your answer to the nearest tenth of a percent, but in decimal form. For example, if you saved 34.67%, you would round to 34.7% and enter .347 as your answer.
Complete the pattern 5, 10, 30, 60, 180
Which of the following terms are like 3x^2y? Select all that apply.
3xy
3x^2y^2
-10x^2y
12xy^2
12x^2y
for a school field trip, there must be 1 adult to accompany 12 students, 3 adults to accompany 36 students, and 5 adults to accompany 60 students. Show that the relationship between the number of adults and the number of students is a proportional relationship. then write an equation for the relationship?
A sample of water is heated from 10.0 (degrees Celsius) to 15.0 (degrees Celsius) by the addition of 125 J of heat. What is the mass of the water?
(I understand what the question is asking me and I know that I have to use the formula q=m•c•DT but I don’t understand how to plug in a specific heat capacity if they don’t give it to me. Please help!!)
Question 2 says: With out multiplying, determine the sign of the product
(19)(-2)(37)(-0.8)(122)
A.Positive
B.Negative
C.The product is zero
Urgent PLEASE!!!!!!!!!!!!!!!!!!
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
20(4) +6(6) = 80 +36 = 116 total building time
20(4) +6(4) = 80 +24 = 104 total testing time ( this is greater than the allowed 100 hours)
Answer is: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Answer:
?
Step-by-step explanation: got 2 ur my streaks back up my n1g but i agree with the other person feel me.
BD =4x + 5 and BF =9x
How to slove this problem
The centroid theorem, the value of x is: 2.5.
According to the centroid theorem, the centroid of a triangle is two-thirds of the distance from each midpoint to each vertex.
Given:
BD = 4x + 5
BF = 9x
Thus:
BD = 2/3(BF)
Replace 4x + 5 = 2/3(9x) with
4x + 5 = 6x
4x - 6x = -5
-2x = -5
x = 5/2
x = 2.5
As a result of the centroid theorem, the value of x is: 2.5.
Complete question:
Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x
x=
The line graphed by the original function f(x)=13x+1 is translated to g(x)=13x−17 using the mapping statement f(x)↦f(x)+k. What is the value of k?
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. how long will it take the pipe to fill the pool if the drain is left open?
Given that one inlet pipe can fill an empty pool in 4 hours. The outlet pipe can empty the pool in 8 hours. We know that rate x time = work done.
Rate = work done / time
Rate of inlet pipe = ¼ hours.
Rate of outlet pipe = 1/8 hours
Here 1 represent the work completed.
Let x be the time taken to fill the pool by the inlet pipe if the drain is left.
Work done by inlet pipe – work done by outlet pipe = 1 work completed.
x/4 – x/8 = 1.
To solve the rational equation, first we clear the fractions by multiplying it with LCD (4,8)=8 to each item.
8(x/4) – 8(x/8) = 8(1)
2x – x = 8
X = 8
Time taken for the pipe to fill the pool if the drain is left open = 8 hours
Is the mass of one pound of lead greater than less than or equal to one pound of feathers?
A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are there?
There are 42 dimes and 14 nickels there if the collection of dimes and nickels is worth $5.60
First, we need to convert dimes and nickel to pennies to have:
1 dime = 10 pennies
1 nickel = 5 pennies
Since the ratio of dimes to nickels is 3:2, this shows that we have 30 dimes and 10 pennies
Total pennies = 30 + 10 = 40 pennies
Since the total collection of dimes and nickels is worth $5.60, this means that the total collections in pennies are 560 pennies ($1 is 100 pennies)
Number of pennies for the ratio of 30 = 30/40 * 560
Number of pennies for the ratio of 30 = 420
Number of dimes = 420/10 = 42 dimes
Number of pennies for the ratio of 10 = 10/40 * 560
Number of pennies for the ratio of 10 = 140
Number of nickel = 140/10 = 14 nickels
Hence there are 42 dimes and 14 nickels there if the collection of dimes and nickels is worth $5.60
Learn more here: https://brainly.com/question/25090040
3x+1<2x-3 what is x
Find area of a rectangle
Area = l*w = 72
L = 72/w
Perimeter = 2l+ 2w
44 = 2(72/w) +2w
22 = 72/w +w
W^2-22w +72 =0
(w-18) (w-4) = 0
W = 18
L = 4
Find the distance between the given points . find the midpoint of the segment with the given endpoints. round to the nearest tenth, if necessary
Which of the following sets is a function?
{(0, 1), (-2, 8), (5, 19), (2, 8)}
{(1, 0), (11, 0), (-5, 7), (1, 9)}
{(17, -8), (1, 16), (53, 9), (1, 23)}
Explain the difference between a population and a sample. choose the correct answer below.
PLEASE HELP ME ANSWER THIS
Answer:
25
Step-by-step explanation:
It is the product of the 3rd row of the first matrix with the second column of the second matrix:
(5)(8) +(-2)(6) +(1)(-3) = 40 -12 -3 = 25
What is the value of x? x+13=9
Enter your answer in the box in simplest form.
x =