Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.
What is the missing information?Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers to greater than 10, then Nita wins. Use what you know about inequalities and absolute values to better understand the game.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
For this problem, we have that:
Erik's number is x.Nina's number is y.The difference between these two numbers is:
|x - y|.
Erik wins if the difference is less than 10, hence:
|x - y| < 10.
Hence:
Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.
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What is square root of 100?
Answer:
± 10
Step-by-step explanation:
sqrt(100)
What number multiplied by itself is 100
10*10 =100
(-10)*(-10) = 100
The square root of 100 is ± 10
plzz help. what's the distance between 4.1 and -5.2 on a number line
Answer:
4.1 + 5.2 = 9.3
distance can never be negative
Step-by-step explanation:
Help Please need answer in 10 minutes
Answer:
Answers
Step-by-step explanation:
help me pleaseeee this is due tomorrow
Answer:
The value of A=7
The value of B=2
SEMOGA MEMBANTU
What is the length of a line segment that connects the points located at coordinates (12,-22) and (8,-30)? Do not round answer. (leave as a square root)
Step-by-step explanation:
[tex]\text{The length between 2 points, } (x_1, y_1)\text{ and }(x_2,y_2)\text{ is determined by, }[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\text{The length between } (12, -22)\text{ and }(8, -30)\text{ is determined by, }[/tex]
[tex]d=\sqrt{(8-12)^2+(-30-(-22))^2}=\sqrt{4^2+8^2}=\sqrt{4^2(1+2^2)}=4\sqrt5[/tex]
ILLL MARK BRAINLIEST PLZ HELP
Sandra saves 13% of her salary for retirement. This year her salary was $1,000 more than in the previous year, and she saved $5,720. What was her salary in the previous year?
Complete the equation. 0.13(x + ) = 5,720
Sandra's salary in the previous year was .
Answer:
Step-by-step explanation:
Let the salary in the previous year = $ x
Now the salary = $ (x +1000)
This year savings = $ 5720
13% * (x + 1000)= 5720
0.13 *(x + 1000) = 5720
0.13*x + 0.13*1000 = 5720
0.13x + 130 = 5720 {subtract 130 from both sides}
0.13x = 5720 - 130
0.13x = 5590 {Divide both sides by 0.13}
x = 5590/0.13
x = $ 43000
Sandra's previous year salary = $ 43000
Solve for each expression by writing the solution in unit form and in standard form.
Expression
Unit Form
Standard Form
(2 tens 1 one) x 10
How do I write this in slope intercept form: (-3,-4) and (4,-3)
PLEASE HELP I NEED IT TONIGHT!!!?!?!!!??
7+8+8+6+4+23+8456+345678+123+456+234+6789+9876+654+89+556
Answer:
= 372,967
Step-by-step explanation:
hope it's help
#MASTER GROUP
# FIRST MASTER
# PHILIPPINES
Answer:
372967
Step-by-step explanation:
PLEASE ANSWER AS QUICK AS POSSIBLE
Which of the following operations would be used to solve 5x = 10?
Answer:
division
Step-by-step explanation:
you need to get x by its self. so divide by 5 on both sides and get x = 2
Help pleaseeeeeeeee
Which of the following is(are) the solution(s) to . x+8 = 1?
O A. x = 9
B. X= -7,-9
O C. x = 7,9
O D. X=-7
Answer:
O D. X = -7
Step-by-step explanation:
[tex]x + 8 = 1 \\ x = 1 - 8 \\ x = {}^{ - } 7[/tex]
Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
a. take 2% of $50
b. take 8% of $46
C. take 10% of $46
d. take 18% of $50
Answer:
C. take 10% of $46
Step-by-step explanation:
I took it on edge
The width of a rectangle measures (3c-9d)(3c−9d) centimeters, and its length measures (8c-2d)(8c−2d) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
HELP
-22d + 22c
Step-by-step explanation:
The expression for the perimeter of the rectangle is 2(11c - 11d)
Perimeter of a rectangle = 2(length + width)
Length = 3c - 9d
Length = 3c - 9d Width = 8c - 2d
The expression for the perimeter can be expressed thus :
2(3c - 9d + 8c - 2d)
Collect like terms :
2(3c + 8c - 9d - 2d)
2(11c - 11d)
Hence, the expression for the perimeter of the rectangle is 2(11c - 11d)
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Tammy is saving money to buy a game. So far she has saved $15, which is one-third of the total cost of the game. How much does the game cost?
I hope this answer would help
Section A of a theater has 9 rows with 8 seats in
each row. Section B has 4 rows with 7 seats in
each row. How many seats are in these sections
altogether?
Answer:
100
Step-by-step explanation:
Number of seat in sector A = number of rows * number of seats
= 9 * 8
= 72
Number of seat in sectorB = number of rows * number of seats
= 4 * 7
=28
Total seats = 72 + 28 = 100
write the equation of the line that passes through 7, 0 and is parallel to y = -3x + 4
Answer:
y = - 3x + 21
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 4 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (7, 0 ) into the partial equation
0 = - 21 + c ⇒ c = 0 + 21 = 21
y = - 3x + 21 ← equation of parallel line
Evaluate the limit of sequence at infinity.
[tex] \displaystyle \large{ \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} }[/tex]
Please show your work too. Thanks!
Answer:
[tex]\displaystyle \frac{ 1 }{3} [/tex]
Step-by-step explanation:
we would like to compute the following limit:
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} [/tex]
if we compute the limit from numerator to denominator directly,we'd end up with
[tex] \dfrac{ \infty }{ \infty } [/tex]
which is an indeterminate form so we must do it in a different way. well to compute this limit,we can consider factoring method . notice that we can factor the numerator and that yields
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{ {n}^{2} ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]
remember that ,
[tex] \sqrt{ab} \implies \sqrt{a} \sqrt{b} [/tex]thus we acquire:
[tex]\displaystyle \lim_{n \to \infty } \frac{ {n} \sqrt{ ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]
reduce fraction:
[tex]\displaystyle \lim_{n \to \infty } \frac{ {} \sqrt{ 4 {}^{} + \frac{3}{n} } }{6} [/tex]
as n approaches to ∞ ,3/n approaches to 0 which yields:
[tex]\displaystyle \frac{ \sqrt{ 4 {}^{} } }{6} [/tex]
simplify square root:
[tex]\displaystyle \frac{ 2 }{6} [/tex]
reduce fraction:
[tex]\displaystyle \frac{ 1 }{3} [/tex]
hence,
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} = \boxed{ \frac{1}{3} }[/tex]
and we're done!
Amanda's earnings vary directly with the number of hours she works. Suppose that she worked 9 hours yesterday and earned 117. how much will she earn today if she works seven hours
Answer:
91
Step-by-step explanation:
117/9 is 13 which means she earns 13 for each hour and for 7 hours it will be 13 multiply by 7 and that gives 91
plz help me with math
solve a) 2y+5/2=37/2
Answer:
2(2y+5)/2=37.2/2
2y+5=37
2y+5-5=37-5
2y=32
2y/2=32/2
y=16
the closest to that is y=8
Step-by-step explanation:
hope that helps>3
6. Find the additive inverse of -7 + 51.
-7 - 51
7 + 5
7 - 51
-7 + 51
Answer:
7 - 51
Step-by-step explanation:
additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4
Micheala pays her cell phone service provider $19.95 per month for her service plan and 15 cents per minute. In June, her phone bill is $127.95. How many minutes did micheala use in June
Answer:
720 minutes
Step-by-step explanation:
Total phone bill = $127.95
Service plan fee = $19.95
Total cost per minute = 127.95 - 19.95
= $108.00
No. of minutes used = Total cost per minute / Rate per minute
= 108.00 / 0.15
= 720 minutes
how do you found the difference from -5 - (-3) = ?
Answer:
-2
Step-by-step explanation:
-5 - (-3)
-5 + 3
= -2
-5x-4y=-8 Write a formula for f(X) in terms of x
hope its helps l got it from https://www.cymath.com/ its good for math solving.
Answer:
f(x) = - [tex]\frac{5}{4}[/tex] x + 2
Step-by-step explanation:
Note that y = f(x)
Rearrange making y the subject
- 5x - 4y = - 8 ( add 5x to both sides )
- 4y = 5x - 8 ( divide terms by - 4 )
y = - [tex]\frac{5}{4}[/tex] x + 2 , that is
f(x) = - [tex]\frac{5}{4}[/tex] x + 2
HELP!!! WILL MARK AS BRAINLIEST!!
Jasmine has a bottle that contains 7/10 litre of orange juice.
She pours out some orange juice and now has 1/4 litre left.
How much orange juice did Jasmine pour out?
-4+ 3
2x + 7
Z
X 8 cm Y
Answer:
Plz question ask in right way
A running trail 6 1/2 miles long. Leigh plans on running this trail over the course of 4 days. How much of the trail will she have to run each day.
Answers
1 5/8
46
6 1/8
8
Please respond asap
Answer:
[tex]1 \frac{5}{8}[/tex]
Step-by-step explanation:
To figure out this problem we need to divide 6 1/2 by 4.
Convert any mixed numbers to fractions. Then your initial equation becomes:
[tex]\frac{13}{2} \div \frac{4}{1}[/tex]
Applying the fractions formula for division:
[tex]= \frac{13 \times 1}{2 \times 4}[/tex]
[tex]= \frac{13}{8}[/tex]
Simplifying 13/8, the answer is:
[tex]= 1 \frac{5}{8}[/tex]
The point A(1,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, A'?
Answer:
A'(5,-1)
Step-by-step explanation:
90° clockwise= (y,-x)
Point=A(1,5)
A(1,5)=A'(5,-1)
help me to solve it
Answer:
plz repost it
Step-by-step explanation:
