What is the solution set for StartAbsoluteValue y minus 9 EndAbsoluteValue less-than-or-equal-to 12:A?
y greater-than-or-equal-to 3 or y less-than-or-equal-to 21
Negative 3 less-than-or-equal-to y less-than-or-equal-to 21
y greater-than-or-equal-to negative 3 or y less-than-or-equal-to 21
3 less-than-or-equal-to y less-than-or-equal-to 21
Answers
Using the absolute value concept, it is found that the solution is:
[tex]-3 \leq y \leq 21[/tex]Which is given by the second option.---------------------------------
The absolute value of a point, or of a function, measures it's distance to the origin.The inequality given by:
[tex]|y - 9| \leq 12[/tex]
The distance to the origin is of at most 12 between -12 and 12, thus:[tex]-12 \leq y - 9 \leq 12[/tex]
We have to solve both inequalities, and find the intersection.[tex]-12 \leq y - 9[/tex]
[tex]-y \leq 3[/tex]
[tex]y \geq -3[/tex]
[tex]y - 9 \leq 12[/tex]
[tex]y \leq 21[/tex]
The intersection is values of y between -3 and 21(and logical operator, not or), inclusive, thus: [tex]y \geq -3[/tex] and [tex]y \leq 21[/tex], that is: [tex]-3 \leq y \leq 21[/tex]A similar problem, involving absolute value, is given at https://brainly.com/question/24734454
Answer:
B: -3 ≤ y ≤21
Step-by-step explanation:
Related Questions
The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each angle of the triangle.
Answers
(3x-10) +2x=180
5x -10=180
5x=190
x=38.
3(38)-10= 104
vertex angle is 104 degrees and each base angle is 38 degrees
From the picture attached,
ΔABC is an isosceles triangle.∠B ≅ ∠C
Vertex angle ∠A is 10 less than 3 times the base angles.m(∠A) = 3[m(∠B)] - 10
By applying angle sum theorem in ΔABC,
m(∠A) + m(∠B) + m(∠C) = 180°
m(∠A) + m(∠B) + m(∠B) = 180° [From equation (1)]
m(∠A) + 2m(∠B) = 180°
[3m(∠b) - 10] + 2m(∠B) = 180°
5[m(∠B)] = 180° + 10°
m∠B = 38°
Therefore, m∠B = m∠C = 38°
Substitute the value of angle B in equation (2),
m(∠A) = 3[m(∠B)] - 10m(∠A) = 3(38) - 10
= 104°
Therefore, measure of angle A will be 104°.
Learn more,
https://brainly.com/question/4973154
James’ dealership pays him a commission of $500 profit on each car sold plus a flat salary of $1500 per month. Find the number of cars James sold if his total salary is $12,000 for the month.
Answers
Samantha, Brooklyn, and Mary went to Bonnaroo music festival where they each attended various
concerts.
• Samantha only went to rock concerts where the sound level was normally distributed between 113
and 117 decibels.
• Brooklyn went to 4 concerts with Samantha and also went to 5 folk concerts where the sound level
was between 95 and 97 decibels.
• Mary got sick, so she only attended 2 shows - one rock concert and one folk concert.
Answers
Answer:
a, b, c
Step-by-step explanation:
Among the three girls, Samantha attended the concerts with the greatest mean sound level.
Among the three girls, Samantha attended the concerts with the greatest median sound level.
If Mary had attended an additional rock concert, the median sound level of concerts she attended would have been greater than it is now.
stream fineline lol
A zoo administrator must decrease the staff size by 1/4 because of budget cuts. If the zoo employs 456 people, how many people must be dismissed?
Answers
Answer:
114 people
Step-by-step explanation:
456*.25=114
Please Help! Anyone know how to solve Rational Equations?
Answers
Answer:
The answer is D. x = 0 , 5
x equal to 0 and 5.
Write an equation for the line that has slope -2 and passes through the point (3, - 4). SHOW YOUR WORK
Answers
Answer:
2x+y-2=0
Step-by-step explanation:
Solution
Here,
Passing point P(x,y)= (3,-4)
Slope(m)= -2
Now Equation of the line
(y - y1)=m(x - x1)(y+4) =-2(x-3)
y+4 = -2x+6
2x + y =22x +y -2 =0 which is the required equation of the line
I need help with this anyone?
Answers
Answer:
c is the correct answer
What is the base of this Scalene triangle?
Answers
Answer: like the measurement or ?
Step-by-step explanation:
Find the value of X
Answers
Answer:
16
Step-by-step explanation:
90=41+3x+1
They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to operate. They found a new fridge that costs $1,050 to purchase and would cost only around $6 a month in electricity charges.
The new fridge comes with a 10-year warranty, so they assume the new fridge to last for 10 years without any extra repair or replacement fees.
If they keep their old fridge, then they assume they will need to pay around $220 sometime over the next 10 years in maintenance costs to keep it running.
(For this comparison, assume they set aside the money to maintain the old fridge right at the beginning of the 10 years, even though they probably won't need the money until several years later.)
Let x represent the number of months. Let y represent total cost in dollars.
Step 3: Apply Quantitative Tools
Set up a system of equations that could be used to help Garrett and Judy Kay decide if buying the new fridge is worth it.
Create functions that describe the total cost in dollars for each fridge.
New Fridge Total Cost Function
Answers
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.
Describe how you would simplify the given
expression.
Pan-talons
20xy
5x 'Y
X=0.y=0
Answers
Answer:
y^15/64x^24
Step-by-step explanation:
Dave says:
The only quadrilateral with two lines of symmetry is a rectangle.
Is Dave correct?
Explain your answer
Answers
Answer:
a rectangle is having 4 lines of symmetry but a trapezium is having 2 lines of symmetry
The quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.
Quadrilateral- Quadrilateral is a type of polygon with closed shaped which has four sides, four angles and four vertices. The sum of this interior angle are always equal to 360 degrees.Rectangle- A rectangle is a type of polygon and closed two dimensional figure with four sides, four angles and four vertices. In the rectangle the length of the opposite side are equal. Rectangle has two lengths and two widths.Statement of the Dave- The only quadrilateral with two lines of symmetry is a rectangle-A quadrilateral with two lines of symmetry means the line about which one part of figure is mirrored to the other image. such quadrilateral with two lines of symmetry will become the rhombus shape. The shape is similar to the kite shape. Thus the above statement is not correct.
By the above discussion we conclude that the quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.
For more about the quadrilateral follow the link below-
https://brainly.com/question/6321910
5. What is the surface area of the following shape
Answers
Answer:
ummm im pretty sure you mean area.... 2d shapes dont have surface area.... but ok... also is the bottom 10? i think so.... then its 90 MARK AS BRANLIEST BCUZ I SAVED YOU
Step-by-step explanation:
1/2x6x(10+20)
1/2x6(30)
3x30
90
NEED ASAP !!
Fill in the rest of the graph ? 2 .
How can u tell when Greg was going fastest ?
Answers
Answer:
When greg has the lead
Step-by-step explanation:
The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9 miles. If their goal is to hike 20 total miles, how many miles does the last hike need to be?
1.7 miles
4.7 miles
2.7 miles
3.7 miles
Answers
Answer:
there last hike i think needs to be 7.2 miles long
Step-by-step explanation:
Which expression is equivalent?
Answers
Answer:
this one i can not help you on sorry
Step-by-step explanation:
what is the distance from -2 to 0 ?
Answers
Answer:
B :)
Step-by-step explanation:
I need to know the slope ASAP
Answers
Answer:
-3/1
Step-by-step explanation:
brainliest pls
110 + 3x +11 = 16x + 4 solve for x
Answers
Answer:
x = 9
Step-by-step explanation:
110 + 3x + 11 = 16x + 4
121 + 3x = 16x + 4
-3x -3x
121 = 13x + 4
-4 - 4
117 = 13x
117 ÷ 13 = x
9 = x
Check:
110 + 3(9) + 11 = 16(9) + 4
121 + 27 = 144 + 4
148 = 148
Answer:
x=9
Step-by-step explanation:
A glass is 1/3 full. Then 75cm3 of orange juice is poured in.
The glass is now 3/4 full. What is the total volume of the glass?
Answers
!!!PLEASE HELPPPP!!!! Select all options that are greater than 17. (the answer's are power)
2 to the power of 5
4 to the power of 2
2 to the power of 2 + 3 to the power of 2
3 to the power of 3 - 3 to the power of 2.
Answers
Answer:
it's 2 to the power of 5, 2 to the power of 2 + 3 to the power of 2 and the last one is 3 to the power of 3 - 3 to the power of 2
HELPPPP ANSWER IN 2mins AND I WILL GIVE YOU BRAINLY MASTER THING Which of the following number sentences is an example of the identity property? Select all that apply.
x 1
8.7 + 0 = 8.7
1.5 x 4 = 6
+ 11
1 + 1
Answers
Answer:
a and c
Step-by-step explanation:
WILL MARK BRAINIEST
Which expression is equivalent to
36/25sqaure root?
A.6/25
B.5/6
C.6/5
D.36/25
Answers
Answer:
it is C
Step-by-step explanation:
trust me
How many even k-digit numbers can be constructed out of the digits 3, 4, 5, 6, and 7?
a. Assume first that you may use the same digit again.
b. Assume that you cannot use a digit more than once.
Answers
Answer:
A. 1562 numbers , B. 130 numbers
Step-by-step explanation:
A) Using same digit again
1 digit nos = 2 ( ie 4 , 6 )
2 digit nos = 5 (ie any no) x 2 ( ie 4 ,6 )
Similarly
3 digit nos = 5 x 5 x 2
4 digit nos = 5 x 5 x 5 x 2
5 digit nos = 5 x 5 x 5 x 5 x 2
Adding all 5 equations
Total = 2 + 10 + 50 + 250 + 1250 = 1562
B) Cant use a digit more than once
1 digit nos = 2 ( ie 4 , 6 )
2 digit nos = 4 ( ie any no other than 4 or 6) x 2 ( ie 4 , 6 )
Similarly
3 digit nos = 4 x 3 x 2
4 digit nos = 4 x 3 x 2 x 2
5 digit nos = 4 x 3 x 2 x 1 x 2
Adding all five equations
Total = 2 + 8 + 24 + 48 + 48 = 130
Jack and Jill are walking to school. After 20 minutes, Jack walked 4/5 mile. After 25 minutes, Jill walked 5/6 mile. What is their speed in miles per hour?
Answers
Answer: Jill: 2mph and jack: 2 2/5 I had this in my test lol and tell me if it was right for you all
Una pizza grande de queso cuesta $18. Cada ingrediente extra cuesta $1.50
Answers
Answer:
3
Step-by-step explanation:
Toda la futura variación de pizzas se ha elaborado con cuatro ingredientes distintos: la base, la salsa, el queso y la cobertura. Pero, dado que no hay cobertura, la respuesta sería 3.
-LavenderVye
hey guys its addison ray
Answers
Answer:
what do you want answered
Step-by-step explanation:
ive heard of you but i dont know who you are. arent you on tic tac
Answer:
This isnt addison rae at all. Addison wouldnt be on this app. This is basically identity theft and if the REAL addison rae find out that you are pretending to be her she can sue you for identity theft :) have fun!
In the first 1/3 hour of a snow storm, 1/12 of an inch or snow fell. If the snow continues to fall at the same rate, how many inches of snow will fall in 2 hours?
Answers
Answer: 1/2 inch
Step-by-step explanation:
1/3 of an hour 1/12 inches fell
in one hour 3/12 or 1/4 inches fell
in 2 hours 2/4 or 1/2 inches fell
x2 + 10x + 9 = 0 factor form
Answers
Answer:
11/10
Step-by-step explanation:
Find the unit price rounded to the nearest cent: $12.35 for 11 lb.
Answers
Answer:
$1.12 per lb
Step-by-step explanation: