-5 ≤ 1 - 2x < 9
Let's first break this down into two different inequalities.
1 - 2x ≥ -5
Subtract 1 from both sides.
-2x ≥ -6
Divide both sides by -2
x ≤ 3
Now, let's do the second inequality.
1 - 2x < 9
Subtract 1 from both sides.
-2x < 8
Divide both sides by -2
x > 4
let's combine each inequality to get our reduced compound inequality.
-4 < x ≤ 3
To plot this, put a hollow point at -4. A hollow point looks something like the letter o.
And put the second point at 3. This time, fill in the point so it looks whole.
Now, connect your points.
It should look something like this:
what is the value of x?
Answer: 4
Step-by-step explanation:
subtract 10 from 18 , thats 8 then divide 8 by 2 and get 4.
A store sells candles.
• The retail price was a 45% markup
over the manufacturer price.
• A month later, the store reduced the
retail price of the candles by 20
percent.
What percent markup is the new retail
price over the manufacturer price?
Answer:
25%
Step-by-step explanation:
If you start at 45% and it reduces by 20% you are just doing 45-20 which equals 25. (Please let me know if im wrong)
16 percent markup is the new retail price over the manufacturer price.
Here,
A store sells candles.
Retail price will be 45% marked-up
A month later, store reduced the retail price of the candles by 20%.
We have to find the percent markup.
What is the percentage?
The percentage is the value per hundred.
Now,
Consider the manufacturer price = 100x
Retail price will be 45% marked-up
Hence, 100x+45% of 100x = 145x
Reduced retail price of the ladder after one month = 145x-145x*20/100
Reduced retail price of the ladder after one month = 116x
Percentage markup of the reduced retail price over the manufacturer price will be:
={(reduced retail price - manufacturer price)/manufacturer price} *100
=[ (116x-100x)/100x ] *100 = 16%
Hence, 16 percent markup is the new retail price over the manufacturer price.
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So I need help with this because I had did it but the teacher said to redo it but I forgot the answers,
Please help !
Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?
Hey there!
ANSWER:Yes
EXPLANATION:Is 4 - 4x and 4(1 - x) equivalent expressions? Why or why not?
If you want to know whether they are equivalent, let's first find the value of both of them.
[tex]4-4x[/tex]
[tex]-4x+4[/tex]
[tex]4(1-x)[/tex]
Let's add parenthesis to 4 and (1-x) and add negative to x.
[tex](4)(1+-x)[/tex]
Now separate all with parenthesis.
[tex](4)(1)+(4)(-x)=4-4x\\-4x+4(ANSWER)[/tex]
Since both had the same value, they are equivalent.
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Encuentren dos números cuyo cociente sea -1 y que la resta del primero menos el segundo sea -3/2
Answer:
[tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex]
Step-by-step explanation:
Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2
Let two numbers are x and y. When they are divided the quotient is -1. So,
[tex]\dfrac{x}{y}=-1[/tex]
It can also be written as :
x = -y ....(1)
The subtraction of first minus the second is -3/2 .
[tex]x-y=\dfrac{-3}{2}\ .....(2)[/tex]
Use equation (1) in (2),
[tex]-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}[/tex]
From equation (1) : [tex]x=\dfrac{-3}{4}[/tex]
Hence, two numbers are [tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex].
The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4 of the way from A to B?
Answer:
Step-by-step explanation:
(4 + 12)/4 = 16/4 = 4
(-2 + 10)/2= 8/4 = 2
(4, 2) is 1/4 of the way from A to B
The coordinates of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The coordinates of points A and B are A(4, -2) and B(12, 10)
The coordinates of the point that is 1/4 of the way from A to B
The above statement means that the line segment AB is divided in the ratio of 1:4 internally.
Using the section formula:
Let C be the new coordinate point:
C(x) = [1(12) + 4(4)]/(1+4)
C(x) = 28/5
C(y) = [1(10) + 4(-2)]/(1+4)
C(y) = 2/5
Thus, the coordinate of the point that is 1/4 of the way from A to B is (28/5, 2/5) if the coordinates of points A and B are A(4, -2) and B(12, 10).
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absolute value of 100
Answer:
100
Step-by-step explanation:
Think of the absolute of a number as the distance from that number to zero on the number line. The distance from 100 to 0 on the number line is 100, so absolute value of 100 is 100. Notice that -100 is also at a distance of 100 from zero, so |-100| = 100.
|100| = 100
The candle maker makes a total of 454545 orange candles. This is 30\%30%30, percent of all the candles she made this week. How many candles did the candle maker make this week?
Answer:
150 candles
Step-by-step explanation:
Guys I really need help!
The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .
TrueFalse
Answer: false
Step-by-step explanation:
Answer:
Yes absolutely true i took the lesson
Step-by-step explanation:
while working at the drugstore, kyle earns $15 per hour. how many hours will it take to earn $45
Answer:
3
Step-by-step explanation:
15+15+15=45 or you can just do 15x3
Emily owns 10.2 shares of stock in a company. On Friday, the stock dropped by $1.35/share. What was the total change in value of Emily’s stock? −$13.77 −$7.56 +$7.56 +$13.77
Answer:
-$13.77
Step-by-step explanation:
Convert this rational number
to its decimal form and round
to the nearest thousandth.
7/8
Answer:
.875
Step-by-step explanation:
plz help!!!! (click on the pic)
Answer:
x^2+8x
Step-by-step explanation:
instructions included above :)
Answer....
[tex] \boxed{ {x}^{2} + 8x}[/tex]
[tex] \boxed {\tt{Step-by-step \: explanation:-}}[/tex]
(6x²+10x-1)+(-5x²-2x+1)
=6x²+10x-1-5x²-2x+1
=6x²-5x²+10x-2x-1+1
=x²+8x
Danny is selling cornhole boards to raise money for a local charity. He rents a booth at the state fair for $250. He sells the boards for $45. It costs him $20 to make each board. How many boards must Danny sell to break even for the cost of renting a booth?
Answer:
10
Step-by-step explanation: because if you get 45$ for breaking 1 and lose 20$ for paying for it you will just get 25$ for breaking each board
6. Henry's room rent is $40. His electricity bill is $10 and food expenses are
$15. His job deposited his salary of $60 into his bank account. What would
be the balance remaining after paying his monthly expenses?
Please help me
Answer:
henry would be -5$ in debt other words he needs 5$ in order to pay for his monthly expenses
nenr World -5 un debt otner
cube root of 0.18125
Answer:
0.005954345703125
Step-by-step explanation:
0.18125^3 = 0.005954345703125
what is the answer 2(3x-4)+3(7-12x)
Answer:
-30x+13
Step-by-step explanation:
6x-8 + 21 - 36x
-30x+13
A conditional statement can be written as "If hypothesis, then conclusion". How can "your phone is set to vibrate so it will not disturb others" be written as a conditional statement?
Answer:
If your phone is set on vibrate, then it will not disturb others.
Step-by-step explanation:
It's an if then statement.
2+2x + x^2 +XY
What would be the answer to this question simplified
Hey there!
ANSWER: [tex]x^2+xy+2x+2[/tex]EXPLANATION:[tex]2+2x+x^2+x*y[/tex]
To solve, you will need to simplify.
[tex]x^2+xy+2x+2[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
help me i have no clue
Answer:
It seems like D if I eyeball it.
if α,β are the roots of the equation x^{2}-3x+2=0 form an equation whose roots are (α+β)² & (α-β)²
Solution:-
Let's find roots of x² - 3x + 2
=> x² - 3x + 2 = 0.
=> x² - x - 2x + 2 = 0.
=> x ( x - 1 ) -2 ( x - 1) = 0.
=> ( x - 1 ) ( x - 2 ) = 0.
=> x = 2, 1.
Now
( a + ß )² = (2+1)²=3²=9( a - ß )² = ( 2 - 1 )² = 1² = 1.So , equⁿ would be ,
=> x² - ( 9 + 1)x + 9×1=0.
=> x² - 10x + 9=0.
Mandy has a piece of ribbon measuring 3.2 m and Cheryl has a piece of ribbon measuring 4.7 m select the point on this number line that represents the ribbon lengths
Answer:
3.2
Step-by-step explanation:
3.2/1
PLEASE HELP ME WITH THIS
Answer:
since they are corresponding angle
(6x)°= (5x =10)°
or (6x) - (5x) = 10°
x = 10°
f(x) = -2x, g(x)= -2x-1
Answer:
I graphed the two points on a graph in the attachment! Hope this helps! :)
Step-by-step explanation:
Find 2 equivalent fractions to 4/6
You pick one card from a standard deck of 52 cards. What is the probability that the card will be a two?
Answer:
4 out of 52 or simplified 2 out of 26
Step-by-step explanation:
There are 4 suites of cards, spades, hearts, clubs, diamonds and there is one card for two in each suite, so we therefore know that the probability of picking a two out of a 52 card deck will be four out of 52 or the simplified answer would be 2 out of 26. Hope this helps, have a great day!
What is the domain of the given relation?
{(0, – 1), (2, - 3), (3, - 2)}
A
{0, 2, 3}
B
{ -3, - 2, - 1}
C
{ - 3, – 2,3}
D
{ - 1,0,2}
Answer:
Option (A) : {0,2,3} is the domain
Junior is saving money in his piggy bank. He starts with and adds two pennies each day. Create an table and a graph for the function for which represents the number of days since Junior started saving money and y represents the total money he has saved
The required expression for the Junior started saving money and y represents the total money he has saved is y =2x.
Given that,
Junior is saving money in his piggy bank. He starts with and adds two pennies each day.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Let the number of days, junior saved money be x and the total amount of money he saved be y.
He starts with and adds two pennies each day. which implies,
On day 1 he saved 2 pennies, the next day i.e. day 2 is saved 4 pence and so on and on day x he saved a total of 2x pennies in his piggy bank. Results,
y = 2x
Thus, the required expression for the Junior started saving money and y represents the total money he has saved is y =2x.
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Follow the guided instructions below to rotate the figure 90° clockwise about the
point (-1,1).
Click and drag to draw a line through the yellow center and the vertex on
the circle.
y
10
9
8
7
6
5
3
2
0 1
-1
3
4
-5 4 3
5
6
7
8
9
10
-10-9-8
-3
-4
-5
-6
Answer:
1111111111111111
Step-by-step explanation:
222222222222
Brad's checking account starts off with a balance of $126.50. Throughout the week, Brad pays a bill for $87.21, and pays $5.64 for breakfast. He deposits $15.00 but then pays another bill for $55.25. At the end of the week, he gets a notice from the bank that he has a negative balance. How much does Brad need to deposit into his account to get to a $0 balance?
Answer:
$6.6
Step-by-step explanation:
Let's find out what his balance is after those transactions.
Initial balance: 126.50
After bill:
126.50 - 87.21 = 39.29
After breakfast:
39.29 - 5.64 = 33.65
After deposit (we're adding money now!):
33.65 + 15 = 48.65
After 2nd bill:
48.65 - 55.25 = -6.6
We find that his balance is negative $6.6. Thus, to get to $0, he needs to deposit an additional $6.6.
Answer: $6.6