Answer:
[tex] - {4} < x < - 6 \\ [/tex]
Step-by-step explanation:
[tex]5 < - 4x - 11 < 13[/tex]
Add 11 to both sides of the inequality to make - 4x stand alone
[tex]5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ 16 < - 4x < 24[/tex]
Divide both sides by - 4
[tex] - \frac{16}{4} < \frac{ - 4x}{ - 4} < - \frac{24}{4} \\ - {4} < x < - 6[/tex]
Reverse the signs
We have the final answer as
[tex] - 4 > x > - 6 \\ [/tex]
Hope this helps you
Answer:
-4>x>-6Step-by-step explanation:
to understand thisyou need to know about:inequalityPEMDAStips and formulas:the direction of inequality does not change when you
add or subtract a number from both sidesmultiply or divide both sides by a positive numbersimplify a sidethe direction of inequality does change when you
multiply or divide both sides by negative numberswapping left and right hand sidelet's solve:[tex] step - 1 : define[/tex]
[tex] \sf 5 < - 4x - 11 < 13[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf add \: 11 \: to \: every \: sides : \\ \sf 5 + 11 < - 4x - 11 + 11 < 13 + 11 \\ \sf16 < - 4x < 24[/tex][tex] \sf \: divide \: both \: sides \: by \: - 4 \: and \: swap \: the \: inequalities : \\ \sf \sf - 4 > x > - 6[/tex]9. If the m
70 degrees what is the m
А
D
X
B
Answer:
110°
Step-by-step explanation:
<A + <B = 180 because these angles are supplementary
70 + <B = 180
<B = 110°
Which equation describes how the parent function, y = x°, is vertically stretched by a factor of 4?
A: y=x^3+ 4
B: y-(x+4)^3
C: y-4x^3
D: y=x^4
In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answer:
$46.72
Step-by-step explanation:
The first step is to find the price of 1 gallon
5 gallons= 14.46
1 gallon= x
5x= 14.46
x= 14.46/5
1 gallon= $2.92
Therefore the cost of 16 gallons of gasoline can be calculated as follows
1 gallon= 2.92
16= x
x= 2.92 × 16
= $46.72
f(x)= (x+1)/2
g(x)= 2x-1
Show your work to prove that the inverse of f(x) is g(x).
Show your work to evaluate g(f(x)).
Please help! I don't understand how to prove that they're inverse of eachother.
9514 1404 393
Answer:
g(f(x)) = x . . . so the functions are inverses
Step-by-step explanation:
Two functions f and g are inverses of each other if ...
g(f(x)) = x or f(g(x)) = x
We are asked to evaluate g(f(x)). That will be x if the functions are inverses.
g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1
g(f(x)) = x . . . . the functions are inverses
The kinetic energy of a body of mass 2 kg is 25 J. Its speed is??
Step-by-step explanation:
Kinetic Energy (K. E) = 25 J
Mass ( m) = 2 kg
Velocity or speed (v) = ?
We have the formula that
[tex]ke \: = \frac{1}{2} m {v}^{2} \\ or \: 25 = \frac{1}{2} \times 2 \times {v}^{2} \\ or \: 25 = {v}^{2} \\ or \: {5}^{2} = {v}^{2} \\ therefore \: v \: = 5 \: m |s[/tex]
it's speed is 5 m/s .
Hope it helps. :)
The speed of the body is 5 m/s
Applying the formular of kinetic energy
Kinetic energy: This can be defined as the energy posses by a moving body or that depends on the speed of a body.
The formular for kinetic energy is
E = mv²/2.................... Equation 1
Where E = Kinetic energy of the body, m = mass of the body, v = veocity/ speed of the body.
make v the subject of equation 1 above
v = [tex]\sqrt{2E/m}[/tex]................ Equation 2
From the question,
Given: E = 25 J, m = 2 kg
Substitute these values into equation 2
v = [tex]\sqrt{2*25/2}[/tex]
v = [tex]\sqrt{50/2}[/tex]
v = [tex]\sqrt{25}[/tex]
v = 5 m/s.
Thus, the speed of the body is 5 m/s
Learn more about Kinetic energy here: https://brainly.com/question/20658056
What should you do? Jason collects baseball cards. He has 33 cards. He wants to put 4 cards on each page of his book. How many pages will he need to put all of his cards in the book? Should you.. Ignore the remainder Ignore the remainder Increase the quotient by one Increase the quotient by one Remainder as the answer
Answer:
Increase the quotient by one
Step-by-step explanation:
Since in the question it is mentioned that There is a total of 33 cards and wants to put 4 cards on each page
So for determining the number of pages for put all of his cards
We should do increment in the quotient by 1 as there is a requirement of an additional page for the left cards
Therefore the above is the answer
A car is traveling at a speed of 72 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 2 minutes?
Do not round your answers.
72/60 to get the speed per minute which is 1.2 miles per minute. From there you can just multiply by 2 to get how far the car will travel in two minutes which is 2.4 kilometers. Not rounded btw.
Traduisez l’énoncé suivant en utilisant le symbole d’inégalité approprié.
1) x dépasse 8 ? : _____
Answer:
Je ne parle pas francais
Step-by-step explanation:
Pardon
A car dealership bought a car for $10,000 and sold the car for $12,000
What was the percent change? *
Answer:
20%
Step-by-step explanation:
Bananas cost $0.79 a pound. Mrs. Huff bought p
pounds of bananas. She paid a total of $7.90.
Write an equation to represent the situation.
Answer:
p x 0.79 = 7.90 or 0.79 x p =7.90
Please help due in 15 min
What is the y-intercept of the line
(0, -5)
Solution:The y-intercept of the line is the point where the line intersects the y-axis.The y-intercept is written like this: (0, b) where "b" stands for the y-intercept of the line.The line touches the y-axis (the vertical axis) at (0, -5)Therefore, the y-intercept of the line is (0, -5) or -5.Hope it helps.
Do comment if you have any query.
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.
Answer:
Step-by-step explanation:
Craig left his house at noon and drove 50 miles per hour until 3PM. Then he drove the next 5 hours at 70 miles per hour. Calculate the average rate of change for the entire trip.
HELLPPPPPP!!!! DUE AT 9!!!!!!
Answer:
I and IV are congruent and I I and III are congruent.
Step-by-step explanation:
Congruent figures must have the same shape and measurements. Hope this helps.
Answer:
c
Step-by-step explanation:
They are all congruent, but are turned in different directions.
Crayons come in packs of 25 and markers come in packs of 10. Marcus wants to have the same amount of markers and crayons. What is the fewest amount of packages of each he needs to buy to have the same amount of each?
Answer
2 packs of crayons
Step-by-step explanation:
5 packs of markers
What is the solution to -1 - 7
Answer:
-8
Step-by-step explanation:
start at -1, move 7 more spots left you get to -8
please hit the heart button :)
Answer:
-8
Step-by-step explanation:
-1 - 7 is pretty much -(1+7) which is -8.
What type of number is - √16?
Choose all answers that apply:
А Whole number
B Integer
C Rational
D Irrational
If (2x+10°) and (3x+10°) from a linear pair,find the angles.
Step-by-step explanation:
2x+10+3x+10=180
5x=160
x=32
2x+10
2×32+10
74
3x+10
3×32+10
106
Ibrahim has two lists of numbers. The mean of the numbers in the first list is p. The mean of the numbers in the second list is q. Ibrahim combines the two lists into one new list of numbers. Ibrahim says ‘The mean of the new list of numbers is equal to (p+q)/2 .' One of two conditions must be satisfied for Ibrahim to be correct. (b) Write down each of these conditions.
Step-by-step explanation:
The two conditions that must be satisfied for Ibrahim to be correct are:
1. The range of numbers in each list must also be the same.
2. The number of numbers in both list must also be same.
decide whether or not it is a function.
Answer:
ITS NOT A FUNCITIONNJNNN GIVE ME BRAINLY NESSES
Step-by-step explanation:
can you help me pls
Step-by-step explanation:
I'm not sure but
bc = -2 -1
ac= -8 -1
ab= -8 -2
de= 5 7
those numbers there subtract them from the other. like the 1st one is 3 (2- -1)
Solve with steps please! *EASY*
Step-by-step explanation:
3x-5y =13......eq(1)
x+4y=10....eq (2)
multiply the eq 2 with 3
then it becomes,
3x+12y=30
Subtracting eq2 from eq 1
3x-3x-5y-12y=13-30
-17y=-27
y=1.588
x+6.352=10
x=3.648
Answer:
i am very positive that the answer is 6'1
Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?
Answer:
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
The costs of cookies at store A shown in the graph. The cost y for x cookies at store B is represented by the equation y = 0.30x. Which of the following statements is true?
Answer:
H
Step-by-step explanation:
In a class of 29 students, 20 play an instrument and 18 play a sport.
There are 11 students who play an instrument and also play a sport.
What is the probability that a student chosen randomly from the class
plays a sport and an instrument?
Can someone please help me
Answer:11/29
Step-by-step explanation:
The numerator is alredy given as 11 students play both an instrument and a sport. Denominator is how many students in the class which is 29.
What does the discriminant tell us if it is -10?
I need help by the end of today!
Answer:
theres no picture that comes with it?
please solve thisss
Answer:
1,570
Step-by-step explanation:
10×2=20
20×3=60
30×5=150
40×7=280
50×4=250
60×3=180
70×8=630
Now,
20+60+150+ 280 +250+ 280+ 630=1,570
this is the answer
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{45.31}}}}[/tex]
❀ Explanation :
✑ Let's Know about A.M ( Arithmetic Mean )
In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.
☄ To calculate the average of the given type of data ( discrete series ) , follow the steps given below :
Make the table of 3 columns .Write down the items or observations ( x ) in the first column in ascending order and the corresponding frequency ( f ) in the second column.Multiply the data ( x ) by their corresponding frequency ( f ) and write down the product in third column of fx.Find the sum of f - column and fx - column separately.Divide the sum of fx by the sum of f , the quotient so obtained is the required mean.✐ Remember :
[tex] \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} [/tex]
Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .
( See the workings in attached picture )
Hope I helped!
♪ Have a wonderful day / night ツ
~~
pls help meeh everything is on the image
Answer:
Your slope is -1 and you y is 2 and the equation is -1y+ 0x
Step-by-step explanation:
Which statement about 272° is correct?
A. tan 272° < 0
B. sin 272° > 0
C. cos 272° < 0
Answer:
tan 272 < 0 is the correct answer
Step-by-step explanation:
Firstly, we need to understand the quadrant in which we have the angle
Mathematically, angle 272 is on the 4th quadrant
On the 4th quadrant, only the cosine value is positive, sine and tangent values are negative
Hence, we have that tan 272 < 0
is the correct answer
Answer: A. tan 272° < 0
Step-by-step explanation:
Ap3x Approved
Which equation represents a line which is parallel to the line 3y-4x=6
Choices:
y=−4/3x-2
y=4/3x+8
y=-3/4x+7
y=3/4x-6
Answer:
y=-4/3x-2 and y=-3/4x+7
Step-by-step explanation:
Step-by-step explanation:
y=-4/3x-2 and y=-3/4x+7
