The answer ISN’T -9/5,3.
Don't have to explain, but if u want then to ahead.
Thank you! :)
Answers
Don't forget the square brackets.
=============================================
Work Shown:
[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]
note 1: I added 3 to all sides to undo the "-3" in the middle.
note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).
--------------------
From there, we convert from compound inequality notation to interval notation.
Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]
The square brackets say to include the endpoint.
So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]
x is any real number between -1.8 and 3, including both endpoints.
----------------------
It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.
If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]
Related Questions
The Royal Flush, a plumbing service, charges $65 for a service call (just to come to the house) plus $30 per hour to do the repair job. The Leaky Faucet, another plurbing service, charges $35 for a service call plus $45 per hour to do the repair job. How many hours would a job have to take for the bills of both repair services to be the same?
Answers
Answer:
Two hours
Step-by-step explanation:
The Royal Flush:
$65 + $30(per hour) = $95(for one hour)
$95 + $30 = $125(for two hours
The Leaky Faucet:
$35 + $45(per hour) = $80(for one hour)
$80 + $45 = $125(for two hours)
Therefore, it would take two hours for both of the repair services to have the same total.
What's the probability of randomly selecting an odd number from the numbers 1-10?
Answers
Answer:
There is a 50% chance of getting a odd number.
Step-by-step explanation:
1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.
5/10 = 0.5 = 50%
5 out of 10
https://gyazo.com/24fac9fdbb9e01e022cb75d2e76d4949
Answers
Answer:
What
Step-by-step explanation:
IS THAT
Find an area of a circle if the diameter of the circle is 40 cm
Answers
Answer:
1256cm^2
Step-by-step explanation:
The area of a circle is πr^2.
The radius is half of the diameter, so it's 20 cm.
A=3.14*(20cm)^2
A=3.14*400cm^2
A=1256cm^2
PLZ ANSWER ASAP 100 POINTS AND BRAINLIEST PLZ PLZ HELP
A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answers
Answer:
Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
Step-by-step explanation:
A parallelogram have opposite sides parallel and congruent
the given quadrilateral is a parallelogram then
10 = x + 2 Equation A
x + 5 = 2x - 3 Equation B
Solving for Equation A:
x = 10 -2 = 8 inches
Solving for Equation B;
2x - x = 5 + 3
x = 8 inches
Value X are the same equations.
Means that
For x=8 inches opposite side
So Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.
Evaluate 9t when t=5.
ITS NOT 95 already tryed that
Answers
Answer:
45
Step-by-step explanation:
9x5=45
Answer:
45
Step-by-step explanation:
9t
substitute 5 for t
9(5)
9(5) is the same as 9 * 5
9 * 5 = 45
so when t = 5 the output is 45
What is the value of s in the equation 3r=10+5s , when r=10 ?
4
8
100
200
Answers
Answer:
4
Step-by-step explanation:
when r = 10
3r = 10 + 5s
3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 10 + 5s -10
20 = 5s
20/5 = 5s/5
4 = s
what is the degree of the polynomial?
Answers
Answer:
D. 2
Step-by-step explanation:
The degree is the biggest exponent. In this case, it is 2.
Answer:
2
Step-by-step explanation:
The highest exponent is 2
therefor this is a 2nd degree polynomial
Need help ASAP please
Answers
Answer:
17.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 73 = x /18
18 sin 73 =x
17.21348561 =x
To the nearest tenth
17.2 =x
What is the volume of a triangular pyramid if the base area is 125 square feet and the height is 15 feet
Answers
Answer:
625 cubic feet
Step-by-step explanation:
Given data
Base area= 125 square feet
Height = 15feet
The expression for the volume of a pyramid is given as
V= a^2*h/3
but a^2= 125 square feet
V= 125*15/3
V= 1875/3
V=625 cubic feet
I need help understanding how to answer this question:
List the sides in order from the smallest to the largest.
Answers
Cho alpha+ beta+ gamma = pi. Chứng minh A) sin alpha + sin beta + sin gamma = 4cos alpha/2*cos beta/2*cos gamma /2
Answers
Answer:
It is proved .
Step-by-step explanation:
[tex]\alpha +\beta +\gamma =\pi.....(1)\\\\sin\alpha + sin\beta +sin\gamma=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]
Take LHS
[tex]=sin\alpha + sin\beta +sin\gamma\\\\=2 sin \frac{\alpha +\beta }{2} cos\frac{\alpha -\beta }{2} + sin\gamma\\\\=2 sin\frac{180-\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}\left [ cos \frac{\alpha - \beta}{2}+sin\frac{180-\alpha-\beta}{2}\\ \right ]\\\\=2 cos\frac{\gamma}{2}\times 2 cos\frac{\alpha}{2}cos\frac{\beta}{2}\\[/tex]
[tex]=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]
Hence proved.
Find mean, median, mode, range
Answers
Answer:
Mean= 44.2
Median=45
Mode=6
Range=50
Step-by-step explanation:
Mean= (10x1 +30x2 + 40x3 +50x2 +60x4)/12
= 530/12
=44.17
=44.2
Median= 40+50 /2
=45
Mode= 6
Range= 60-10
=50
how many edges does a rectangular have
Answers
hope this helps
A pizza shop has 6 kinds of cheese, and 13 different toppings. How many ways are there for a customer to select a pizza with 2 cheeses and 4 toppings?
Answers
Answer:
10725
Step-by-step explanation:
C [tex]\frac{2}{c}[/tex] [tex].[/tex] C [tex]\frac{4}{13}[/tex] = [tex]\frac{6x5}{2}[/tex] ° [tex]\frac{13x12x11x10}{4x3x2x1}[/tex]
= 10725
How do you solve for x in this using trignometric ratios
Answers
Answer:
[tex]x= 23.775.[/tex]
Step-by-step explanation:
[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]
Help me find B asap!
Answers
Answer:
11)
complimentary angle
b = 90 - 65
b = 25º
12)
supplementary angle
b = 180 - 117
b = 63º
13)
360º in a circle
b = 360 - 244 -23
b = 93º
14)
vertical angle
b = 46º
You pick a card at random. Without putting the first card back, you pick a second card at
random.
5 6 7 8
9
What is the probability of picking a 5 and then picking a prime number?
Simplify your answer and write it as a fraction or whole number.
Answers
Answer:
5 prime to6
Step-by-step explanation:
pick all the nubers
Hệ phương trình
1/x + 1/y = 5/24
4/x + 3/y = 3/4
Answers
Step-by-step explanation:
hear is your with steps please check
A window cleaning service charges under $75 to clean all of the windows of a house. Write an inequality to represent the amount charged.
Answers
Answer:
C < $75.
Step-by-step explanation:
Let C be the charge of a window cleaning service, that cleans all the windows of the house.
Since it charges less than $75. this means
C < $75.
So, this is the required inequality equation.
What is the value of b in the equation below?
9^-6 . 9^-2= a^b
A. -10, B. -6, C. 9, D. 16
Answers
Answer:
-10
Step-by-step explanation:
If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?
the volume will double
the volume will quadruple
the volume will increase by a factor of six
the volume will increase by a factor of eight
ANSWER QUICK PLEASE!!!
Answers
Hope this helps!!!
Have a great day!!!
The volume will increase by a factor of eight.
What is Volume of Cylinder?
The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.
Volume of Cylinder = πr²h
Put, r = 2R, h = 2H
New volume of Cylinder = π (2R)².2H
= π.4R².2H
= 8πR²H
= 8V
Thus, the volume will increase by a factor of eight.
Learn more about volume of cylinder from:
https://brainly.com/question/16788902
#SPJ2
Two points, a and b, are graphed on the number line below. Maynard says there is not enough information to write an inequality statement comparing a and b. Which statement explains whether or not Maynard is correct? a b -10 0 10 Maynard is correct. There is no way to tell which exact numbers a and b represent, so he cannot write an inequality. Maynard is correct. There is no way to tell if a and b are positive or negative, so he cannot write an inequality Maynard is incorrect. On the number line, a is to the left of b. so a Maynard is incorrect. On the number line, a is to the left of b. So a > b.
Answers
Answer:
c
Step-by-step explanation:
In a fruit cocktail, for every 25 ml of orange juice you need 30 ml of apple juice and 45 ml of coconut milk. What proportion of the cocktail is orange juice?
Give your answer as a fraction in its simplest form.
Answers
Answer:
1/4
Step-by-step explanation:
Add the three amounts:
25 ml + 30 ml + 45 ml = 100 ml
These three amounts make 100 ml of fruit cocktail.
The amount of orange juice is 25 ml.
The fraction of orange juice is
(25 ml)/(100 ml) = 25/100 = 1/4
Answer: 1/4
Y-intersect of the liner function
Answers
Answer:
15
Step-by-step explanation:
The y- intercept is the value of y on the y-axis where the line crosses.
The line crosses the y- axis at 15 ← y- intercept
The answers are
A.9
B.25
C.18
D.15
PLEASE HELPPPP
Answers
Answer:
9
Step-by-step explanation:
Because I don't know but I think I'm correct.
in the equation 50=2y-5y^2 what is the value of c
Answers
Answer:
No solution because there is no c variable
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
12 Here are two equations.
y = 5x - 9 and x + y = 7
a Use this graph to find an
approximate solution of
the equations.
b Use algebra to find exact
solutions of the equations,
Helpppp
Answers
Answer:x=8/3 ; y=13/3
Step-by-step explanation: to find the intersection point or the solution of the graph, you need to equate these equations 1) y=5x-9 2) x+y=7 => y=7-x x equating the equations 5x-9=7-x => 6x=16 => x=8/3 ; y=13/3
A box of popsicles contains 3 cherry, 3 grape and 4 orange. What is the probability of randomly choosing orange
Answers
Answer:
40% chance
Step-by-step explanation:
4/10=40%
Identify the solid figure below.
rectangular prism
triangular prism
rectangular pyramid
triangular pyramid
Answers
Answer:
triangular prism
Step-by-step explanation:
triangular prism is a prism in the shape of a triangle at 2 opposing faces
Answer:
that is a triangular prism