Answers
Answer:
16) 2
17) -5
18) doesn't exist
19) doesn't exist
20) doesn't exist
21) 3
22) 4
23) 6
Step-by-step explanation:
16) as you move towards -9, the function adopts the value 2
17) as one moves towards x = -6 , from both sides (right and left) the function goes to the value -5
18) As one moves towards x = -4 (from the right and from the left, the functions seems to diverge towards + ∞. So normally the convention for limits stipulates: Undefined or Doesn't exist
19) f(-4) doesn't exist (for same reasons as above (there is a singularity here)
20) As one moves towards 2 from the right, the function gets towards the value 3, while approaching from the left the function goes towards the value 5. So formally we say that the limit doesn't exist (from the left and from the right limits don't agree)
21) f(2) is the well defined value of 3
22) approaching x= 4 from the right and from the left both lead towards the value 4.
23) f(4) is 6
Related Questions
Write the following sentence using mathematical symbols. Twice x, plus 8 , is the same as -14 .
Answers
Answer:
2x + 8 = -14
Step-by-step explanation:
Twice x, plus 8 , is the same as -14.
2x + 8 = -14
Answer:
2x + 8 = -14
Step-by-step explanation
Because twice is 2 times and then you plus 8 i the same as -14
so 2 times= 2x then +8 so altoghther is 2x+8 and it says it's the same as -14
so the answer is 2x+8= -14
Brainly please!
) Simplify.
| – 15 – (-5)
Answers
Answer:
-9
Step-by-step explanation:
1−15−(−5)
−14−(−5)
−9
Answer:
-15-(-5)
= - 15 +5 (Multiplying - and - we get a plus(+))
=-10 ( - stg + stg means to subtract and since 15 is greater than 5 and it's sign is - we should keep that)
Mr. Lowe is setting up his room for art class. He has 6 boxes of crayons with 24 crayons each, 3 packages of pencils with 20 pencils each, and 9 packages of paint brushes with 15 brushes each. What is the difference between the total number of crayons and the total number of paint brushes?
Answers
so first we need to find the total number of crayons
to do that we're going to multiply 6 by 24 cause each box has 24 crayons
24 × 6 = 144
so the answer of total number of crayons is 144 crayons
next we're going to find the total number of paint brushes
to do that we're going to multiply 9 by 15 cause each package has 15 paint brushes
9 × 15 = 135
so the answer of total number of paint brushes is 135 crayons
finally we're going to calculate the difference
so its 144 crayons subtracted by 135 paint brushes
144 - 135 = 9
so the difference of total number of crayons and total number of paint brushes is 9
hope that helped :))
The difference between the crayons and the paintbrush the total. I just see which one is greater
in geometry, you can use deductive rules to
A. find patterns
B. define terms
C. make conjectures
D. prove conjectures
Answers
prove conjectures
Use the interactive to solve the following problems:
What is the difference between -12 and -5?
What is the distance between -12 and -7 on a number
line?
units
Answers
Answer:
Use the interactive to solve the following problems:
What is the difference between –12 and –5?
✔ -7
What is the distance between –12 and –7 on a number line?
✔ 5
units
Step-by-step explanation:
The difference between -12 and -5 is 7.
The distance between -12 and -7 on a number line is 5 units.
What is a number line?""
1. The difference between -12 and -5 is
= (- 5) - (- 12)
= - 5 + 12
= 7
2. The distance between -12 and -7 on a number line is
= [(- 7) - (- 12)] units
= (- 7 + 12) units
= 5 units
Learn more about a number line here: https://brainly.com/question/13189025
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plz help really. -4c - 9.6 + 5c = 0
Answers
Answer:
c= 48/5
Step-by-step explanation:
Simplify radical -81
Answers
Step-by-step explanation:
-81
[tex] \sqrt{ - 1} \: \times \sqrt{81} [/tex]
[tex] \sqrt{ - 1} = i [/tex]
[tex]i \times \sqrt{9 {}^{2} } [/tex]
[tex]i \times 9[/tex]
[tex]9i[/tex]
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how long will it be until the value of the car is 5000 dollars?
Answers
Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
Solve for x: 4(x + 2) = 3(x - 2)
-2
-4
-10
-14
Answers
Answer:
x=-14
Step-by-step explanation:
evaluate the function for f(2)
f(t) =-t - 5; find f(2)
Answers
Answer:
[tex]f(2)=-7[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(t)=-t-5[/tex]
To find f(2), substitute 2 for t. Thus:
[tex]f(2)=-2-5[/tex]
Subtract:
[tex]f(2)=-7[/tex]
And, we're done!
If ST=19 and S lies at -4 , where could T be located?
Answers
Answer:
15 or -23
Step-by-step explanation:
I think you probably already turned this in but in case you haven't:
ST = 19 means that line segment ST is 19 units long. If we know that S is at -4, then T has to be 19 units away from -4, right?
So there's two directions we could go.
Add 19 to -4 to get 15, so T could be at 15. (If there's a line drawn between -4 and 15, it would be 19 units long.)
But the line could go left, towards negative infinity, too. So if we subtract 19 from -4, we'd get -23. T could also be at -23. (If there's a line drawn between -4 and -23, it would also be 19 units long. There's no such thing as a negative length.)
Please mark as Brainliest! :)
Sam is 3 times older than her brother, Owen. In 5 years, Sam will be twice as old as Owen. How old are they now?
Answers
Answer:
Sam is 15; Owen is 5.
Step-by-step explanation:
Let s denote Sam's age and let o denote Owen's age.
So, Sam is three times older than Owen. Thus:
[tex]s=3o[/tex]
In 5 years, Sam will be twice as old as Owen. In other words, Sam's current age plus 5 years will be Owen's current age plus five years times 2. Thus:
[tex]s+5=2(o+5)[/tex]
We have a system of equations. Solve for substituting the first equation into the second. Thus:
[tex]3o+5=2(o+5)[/tex]
Distribute the right:
[tex]3o+5=2o+10[/tex]
Subtract 2o from both sides:
[tex]o+5=10[/tex]
Subtract 5 from both sides:
[tex]o=5[/tex]
So, Owen is currently 5 years old.
Sam is 3 times older than Owen, so Sam is 15 years old.
And we're done :)
Need help with the question attached ASAP. Will give 5 stars & brainliest!
Answers
if sum of any two angles 90 then they are called complementary
A +B =90 let the complement of A is B
4x+2 +B =90
B= 90-4x-2
B = 88-4x
complementary angle = B = 88-4x
♡Hope it helps♡
Find the equation of a line in parallel to y=2x + 8 that passes through the point (4, 4).
Answers
Please help with geometry ASAP
Answers
Answer:
≈ 0.39
Step-by-step explanation:
Area of circle:
S = πr² = π4² ≈ 50.27 cm²Area of triangle:
S = 1/2bh = 1/2*2*3 *(4+2.5) = 19.5 cm²Probability of the point within red shaded area:
P = 19.5/50.27 ≈ 0.393(n-9)-2(n+4)=6n What is the solution
Answers
Answer:
3(n-9)-2(n+4)=6n
3n-27-2n-8=6n
n-35=6n
-35=5n
n= -7
Step-by-step explanation:
3(n-9)-2(n+4)=6n
open the brackets by multiplication
3n-27-2n-8= 6n
n-35=6n
35=-5nn=-7
The square root of 19 is an irrational number between 4 and 5.
1. How do you know it's irrational?
2. How do you know it's between 4 and 5?
Answers
2.) you know it’s between 4 and 5 because 4x4=16 and 5x5=25. The square root of 16 is 4 and the square root of 25 is 5. 19 is between 16 and 25; therefore it has to be between 4 and 5.
The symbols "<" and ">" are called
Answers
Answer:
< is less than
> is greater than
Step-by-step explanation:
< is less than
> is greater than
If a-b is true and b-c is true,
then a-c is true.
A. A syllogism
B.A converse statement
C.An inverse statement
D. A contrapositive statement
Answers
Answer:
A. A syllogism
Step-by-step explanation:
The other 3 make no sense in this scenario, also I am in middle school make me brainlyest
Answer:
A syllogism.
Step-by-step explanation:
Note the 2 'middle' element b are the same.
Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
number of weeks it will take to repay his brother. How many weeks will it take Malik to repay his brother?
( 5
9
оооо
10
11
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
9 weeks
Step-by-step explanation:
$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.
The selling price of an article becomes 27/25 times the listed price due to the inclusion of sales tax. find the rate sales tax.
Answers
Answer:
8%
Step-by-step explanation:
If you subtract 1 times the original cost, the result is the tax rate:
27/25 - 1 = tax rate = (27 -25)/25 = 2/25 = 8/100 = 8%
The tax rate is 8%.
18. Identify the inverse function of
Answers
Answer:
[tex]\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}[/tex]
Step-by-step explanation:
[tex]f(x) = \sqrt{x-2} + 3[/tex]
Replace f(x) by y
[tex]y = \sqrt{x-2} + 3[/tex]
Interchange x and y
[tex]x = \sqrt{y-2} + 3[/tex]
Solve for y
[tex]x = \sqrt{y-2} + 3[/tex]
Subtracting 3 to both sides
[tex]x - 3 = \sqrt{y-2}[/tex]
Taking square on both sides
[tex](x-3)^2 = y-2[/tex]
Adding 2 to both sides
[tex]y = (x-3)^2 + 2[/tex]
Replace [tex]y = f^{-1}(x)[/tex]
[tex]f^{-1}(x) = (x-3)^2+2[/tex]
3(2x+3)-4(3x-6)=16 show and explain.
Answers
Answer:
x = 17/6
Step-by-step explanation:
First of all remove parenthesis by using distribution
6x + 9 - 12x + 24 = 16
Then collect all like terms
-6x + 33 = 16
After that move the constant to the right
- 6x = 16 - 33
Calculate 16 - 33
-6x = -17
Divide both sides
x = 17/6
Hope this helps!
Which value of a from the set (16,18,20,22) makes the equation 2(42-a)=48 true
Answers
Steps to solve:
2(42 - a) = 48
~Distribute left side
84 - 2a = 48
~Subtract 84 to both sides
-2a = -36
~Divide -2 to both sides
a = 18
Best of Luck!
A square has an area of 172 ftLaTeX: ^22 . What is the approximate length of each side of the square to the nearest tenth?
Answers
Answer:
13.1 feetStep-by-step explanation:
Area of a square = Length * Length
A = L²
Given the area of a square to be 172ft², to get the approximate length of each side of the square, we will substitute the area given into the formula above and calculate the value of L as shown;
[tex]A = L^2\\\\172 = L^2\\\\L^2 = 172\\\\[/tex]
take the square root of both sides;
[tex]\sqrt{L^2} = \sqrt{172} \\\\L = \sqrt{172} \\\\L = 13.11 ft\\\\L \approx 13.1ft[/tex]
Hence the approximate length of each side of the square to the nearest tenth is 13.1 feet
Jack is given an ice cream. It is equally likely that he is given a chocolate,vanilla or strawberry flavour
Answers
an image please because there is nothing explainign what you need
You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane represents one inch.
Answers
Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.
Answer:
112.5 units²
Step-by-step explanation:
Area of the shelf = ½*base*height.
The base is the distance between Z(0, 5) and Y(15, 5)
The height is the distance between X(15, 20) and Y(15, 5).
Therefore area of the shelf = ½*ZY*XY
Use the distance formula to find ZY and XY.
Distance between Z(0, 5) and Y(15, 5):
[tex] ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] Z(0, 5) = (x_1, y_1) [/tex]
[tex] Y(15, 5) = (x_2, y_2) [/tex]
[tex] ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2} [/tex]
[tex] AB = \sqrt{(15)^2 + (0)^2} [/tex]
[tex] AB = \sqrt{225 + 0} = \sqrt{225} [/tex]
[tex] AB = 15 [/tex]
Distance between X(15, 20) and Y(15, 5):
[tex] XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] X(15, 20) = (x_1, y_1) [/tex]
[tex] Y(15, 5) = (x_2, y_2) [/tex]
[tex] XY = \sqrt{(15 - 15)^2 + (5 - 20)^2} [/tex]
[tex] XY = \sqrt{(0)^2 + (-15)^2} [/tex]
[tex] XY = \sqrt{0 + 225} = \sqrt{225} [/tex]
[tex] XY = 15 [/tex]
Area of shelf = ½*15*15 = ½*225 = 112.5 units²
The last time Todd check,his dog weighed 10 kilograms. Todd just measures his dog again and found out that it weighs 10% less now how much does the dog weigh now
Answers
Answer:
9 kilograms
Step-by-step explanation:
A student can read 7 pages of a book in 10 minutes how many pages of the book can the student read in 30 minutes
Answers
Answer:
210 pages
Step-by-step explanation:
7 pages = 10 minutes
A pages = 30 minutes
A = 210 pages
The student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A student can read 7 pages of a book in 10 minutes.
Let's suppose the student read x number of pages in 30 minutes.
Mathematically,
7 pages → 10 minutes
x pages → 30 minutes
7/x = 10/30
7/x = 1/3
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
x = 7×3
x = 21 pages
Thus, the student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.
Learn more about the fraction here:
brainly.com/question/1301963
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What is the solution the equation 1/4x +2= -5/8x-5
Answers
Answer:
-8
Step-by-step explanation:
I've taken a picture of the way I solved the equation.