Answer:
[tex]-5<x<2[/tex]
Step-by-step explanation:
We have the inequality:
[tex]|2x+3|<7[/tex]
Use the definition of absolute value:
[tex](2x+3)<7\text{ or } -(2x+3)<7[/tex]
Let's evaluate each case individually.
Case 1)
We have:
[tex]2x+3<7[/tex]
Subtract 3 from both sides:
[tex]2x<4[/tex]
Divide both sides by 2:
[tex]x<2\\[/tex]
Case 2)
We have:
[tex]-(2x+3)<7[/tex]
Divide both sides by -1. Since we're dividing by a negative, flip our sign:
[tex]2x+3<-7[/tex]
Subtract 3 from both sides:
[tex]2x<-10[/tex]
Divide both sides by 2:
[tex]x<-5[/tex]
So, our solutions are, from least to greatest:
[tex]\{x|-5, 2\}[/tex]
We can see that our inequality is a greater than.
Remember, when dealing with absolute value:
When our sign is greater than (or equal to), our solution is an "or" inequality with our solutions being all values less than our lesser solution or all values greater than our greater solution.
When our sign is less than (or equal to), our solution is an "and" inequality with our solution being between our two solutions.
Since our inequality is a less than, our solution is all the values between our lesser solution and our greater solution.
Our lesser solution is -5. Our greater solution is 2.
So, the solution to the inequality is all values between -5 and 2. As a compound inequality, this is:
[tex]-5<x<2[/tex]
And we're done!
true or false
A number that has values on the left and the right of the decimal point is called a "decimal mixed number.
the imposter the answer is true
You work 4 hours on Saturday and 7 hours on Sunday. You also receive a $35 bonus. If your paycheck was for $142.25, how much do you make an hour?
Answer:
9.75
Step-by-step explanation:
first we are going to subtract the bonus
142.25 -35 = 107.25
assuming that you are not takeing breaks you work a total of 11 hours (7+4)
so 11/107.25 = 9.75
so you would make 9.75 an hour before taxs
how do you solve this pls help!!!
Answer:
y = 1
x = -0.75
Step-by-step explanation:
The alternate angles theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles are equal.
21y - 1 = 4x + 23
21y - 24 = 4x
5.25y - 6 = x
21y - 1 = 4x + 23
21y = 4x + 24
y = 4/21(5.25 - 6) + 1.14
y = 1 - 1.14 + 1.14
y = 1
5.25(1) - 6 = x
-0.75 = x
how do you solve 2(3-p)-17=41
Answer:
The answer is p = − 26
Step-by-step explanation:
Answer:
P=-26
Step-by-step explanation:
6 - 2p - 17 = 41
- 11 - 2p = 41
-2p = 41 + 11
-2p = 52
p = -26
All of the x-values are referred to as the ____________?
Group of answer choices
Relation
Outputs
Function
Inputs
What is -2•3x simplified?
Answer:
Multiply
3 by − 2 =− 6 x
Step-by-step explanation:
Answer:-6x I hope this is helpful
Step-by-step explanation:
-2•3x
Multiplying a negative and a positive equals a negative: (-) • (+)=(-)
-(2•3)x
Multiply the numbers
-6x
I have a few questions
Answer:
why didn't you ask the questions then?
George and Jerry are selling nuts for their band fundraiserGeorge sold 12 cans of cashews and 7 cans of almonds for $112. Jerry sold 4 cans of cashews and 10 cans of almonds and made $68. Set x = the price for a single can of cashews and y=t0 the price for a single can of almonds. What was the price for a single can of cashews and a single can of almonds? You must write the system of equations for this situation and show how you arrived at your answer in order to receive full credit for this problem.
Answer:215
Step-by-step explanation:You have to add to get your answer.
12+12=24
24+112=136
136+7=143
143+4=147
147+68=215
Your answer is:215
0.82 divided by what = 0.0082
Answer:
100
Step-by-step explanation:
You move the decimal to the left, 2 times.
You can only move it over like that if you are working with 10, 100, 1,00, ect.
If you were multiplying you would move it to the right.
Answer:
100
Step-by-step explanation:
Which graph best describes the following situation?
Matt was standing 3 feet from the edge of the pool. He walked away from the pool for 4 seconds. Then he was
12 feet away from the edge of the pool.
Answer:
Suppose that P(t) describes the position of Matt over time
Let's define the edge of the pool as our zero in the position axis.
At the beginning, Matt was 3 ft away from the edge, so we have:
P(0s) = 3ft
He walked away for 4 seconds, then he was 12 ft away from the edge.
Then at t = 4s his position was:
P(4s) = 12ft.
So we have two points, (0s, 3ft) and (4s, 12ft).
The graph that describes this situation will be the line that connects those two points.
An example is shown below.
Answer:
0,3 - 4,12
Step-by-step explanation:
the sum of three consecutive even numbers is 114. what is the smallest of the three numbers?
Answer:
36
Step-by-step explanation:
Let's let n be any number.
If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.
So, the consecutive even number will be (2n+2) followed by (2n+4).
We know that their sum must be 114. Therefore, we can write the following equation:
[tex](2n)+(2n+2)+(2n+4)=114[/tex]
Solve for n. Combine like terms on the left:
[tex]6n+6=114[/tex]
Subtract 6 from both sides:
[tex]6n=108[/tex]
Finally, divide both sides by 6. Therefore, the value of n is:
[tex]n=108/6=18[/tex]
Therefore, our first even number is 2n or 2(18) which equates to 36.
And the consecutive even numbers will be 38 and 40.
So, the smallest of them, the first term, is 36.
Let the three consecutive even numbers be x, x + 2 and x + 4 .
[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]
[tex] \longrightarrow \rm 3x + 6 = 114[/tex]
[tex] \longrightarrow \rm 3x = 108[/tex]
[tex] \longrightarrow \bf x = 36[/tex]
Smallest number = 36
Use the literal equation m=5/4n-7 to find m when n =40
Help plz
Answer: 5/153
Step-by-step explanation:
Well, you'd just have to plug in 40 for n.
5/(40*4 - 7) = m
5/(160-7) = m
5/153 = m
An equation is formed of two equal expressions. As per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of m from the given equation can be found by substituting the value of n as 7 in the given equation as shown below.
m = (5/4)n - 7
Substitute the value of n as 40,
m = (5/4)40 - 7
m = (5/1)10 - 7
m = 50 - 7
m = 42
Hence, as per the literal equation m=5/4n-7, the value of m when the value of n is 7 is 42.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
help plssssssss! asap
five less than the qouicent of number of a number and 3 is -7
Sorry. Had to redo this with the correct answer.
Here it is...
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x = - 2/5 (fraction)
Decimal Form:
x = - 0.4 (decimal)
(-3.56(2.3)
what is the answer
Answer:
-8.18800
Step-by-step explanation:
-8.188
-3.56 times 2.3 = -8.188
A tree struck by lighting broke at a point 16 feet above ground level. The broken trunck formed a right triangle with the top of the tree resting on the ground 18 fett from the base of the tree what was the full height of the tree to the nearest foot before it was struck by lighting
Answer:
okay i need to know the options
Step-by-step explanation:
How much water must be added to 1 litre of 5% cordial mixture to produce a 4% cordial mixture?
Answer:
X=1/4L OR 0.25L OR 250ml.
Step-by-step explanation:
What is the sum of this expression?
2 1/16 + 7 3/8
A. 9 1/4
B. 9 7/16
C. 9 3/4
D. 9 7/8
Answer: [tex]9\frac{13}{24}[/tex]
Step-by-step explanation:
Add 2 and 7.
9
Add 1/16 and 3/8 = 13/24
9 13/24 is the answer.
Answer:
b. 9 7/16
Step-by-step explanation:
2 1/16 + 7 3/8
= 33/16 + 59/8
= 33/16 + 118/16
= 151/16
= 9 7/16
Help please I need this now
Answer:
what is the question i cat help without the question
Step-by-step explanation:
Answer:
The answer for this is 850 dollars
Step-by-step explanation:
Since D stand for 50
You would do 50 X 17
Resulting in 850 dollars
What is the range of g
Answer quick please!
What is 15/8 - 1 subtracting fractions
Answer:
I believe that it is .875 or 7/8 but im not sure
Step-by-step explanation:
???????????????????????????
Answer:
Erica has 15 pieces of candy left
Step-by-step explanation:
Mark me brainliest!!!!
She had 45 pieces to start with then she gave her friends 1/3 which leaves her with 15 pieces of candy left. Then she eats 1/6 of the candy she had left so now she only has 25 left and then the next day she eats 10 more pieces which leaves her with 15 pieces of candy left.
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the nearest cent if necessary. $26.85 $28.91 $437.78 $439.85At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which expression represents how much she will receive in commission from the sale? 569 (0.18) 569 (0.72) 569 (1.18) 569 minus left-bracket (569) (0.18) right-bracket
Answer: See explanation
Step-by-step explanation:
1. Cost = $413
Sales percent = 6.5%
Cost of bike = $413 + (6.5% × $413)
= $413 + (0.065 × $413)
= $413 + $26.845
= $439.85
2. Cost of dishwasher = $569
Commission rate = 18%
The expression for the commission will be:
= 18% × $569
= 18/100 × $569
= 0.18($569)
Answer:
D
Step-by-step explanation:
Can you help me please?
Answer:
61.5 in 41 mins 90 in one hour,
Step-by-step explanation:
i multiplied 1 1/2 by 41 and by 60
hope this helps i am very sorry if it is incorrect..
May I get some help on this please?
Answer:
2
Step-by-step explanation:
The answer is the second explanation I think
Answer:
it's the 2nd answer
Step-by-step explanation:
basically I just found the range and it kinda gave me the answer (range is the difference between the highest and lowest number, so 24-9=15)
3(x + 4) – 4= 2(x + 4) + x
Answer:
No solution
Step-by-step explanation:
3x+12-4=2x+8+x
3x+8=2x+8+x
3x+8=3x+8
sub tract 3x on both sides and poof
we get 8 =8
High Hopes^^
Barry-
I need help with exponents , im a little stuck
Answer:
Exponents are when you are multiplying numbers by themselves. The symbol is this sign right here ^
Step-by-step explanation:
Exponents are usually shown as ^
but they may also look more like a number that is on the top right corner of a value.
When you have an exponent, since you are multiplying by itself, you get the number times the number times the number on and on, counting on what the value of the exponent is.
If the number looks like this for example 2^5
You should either see that or a 2 with a 5 hugging the top right corner of the 2.
To solve them, you should do 2 x 2 x 2 x 2 x 2, since you are multiplying the 2 by itself 5 times.
2^1 is basically just 2, as you are multiplying 2 by itself no times at all.
2^2 should be 4, because you are multiplying 2 by 2 twice.
2^3 is 2 x 2 x 2 which is 4x2 which is 8.
When a number goes to the power of 0, such as 2^0 it is ALWAYS 1. For some weird reason, exponents going to the power of 0 is always 1, no matter what value the bottom number is.
1^0 = 1
2^0 =1
19442380528^0 = 1
Exponents to the negative power, are more difficult, however is just as easy as remembering the powers of 0.
You just flip the number upside down, so if the number is 3^-2 then it becomes 1/3 ^2
If the number is 3^-4
You get 1/3 x 1/3 x 1/3 x 1/3 which you end up getting 1/81.
You have to square the top numbers too when you are using exponents, so if 2/3 to the power of 3 is used,
you have to do 2/3 times 2/3 times 2/3, which is 2x2x2 over 3x3x3 giving you 8/27.
The same principle applies to when you do negative exponents, which you are just flipping over the fraction or number and doing the exponent.
2/3 to the power of -3, would give you 3/2 times 3/2 times 3/2, which gives you 27/8.
I will not get into much more detail, as it is a big unit to go through, but once you get the hang of them, it is easy to understand. I appologize if you feel lost, but there are many websites that go into more detail much better than me. Khan Academy gives VERY in depth videos on how exponents work with some humor, but I hope this helped at least!
consider the equation x/3 +7 =13 what is a equvalent equation using the multipucation property of equlity
Answer:
x=18
Step-by-step explanation:
Select all the equations that are equivalent to the equation 3x – 4 = 5
A. 3x=9
B . 3x-4+4=5+4
C .x-4=2
D . x=9
E. -4=5-3x
Answer:
A. 3x=9
I can only think of A
State if the two triangles are congruent. If they are, state how you know.
Answer:
The triangles can be congruent.
Step-by-step explanation:
They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.
The last side can be congruent if the diagonals are congruent in length by proving.
They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.
