Answer:
x < 5
Step-by-step explanation:
2x < 10
x < 5
I hope this helped!
Required solution set is x < 5.
What is inequality?
In mathematics, an inequality is a relationship that compares two numbers or other mathematical expressions unequally.[1] It is most often used to compare two numbers by their size. Several different notations are used to denote different types of inequality:
The notation a < b means that a is less than b.
Notation a > b means that a is greater than b.
In both cases, a is not equal to b. These relationships are known as strict inequalities,meaning that a is strictly less than or strictly greater than b. Equivalence is excluded.
Unlike strict inequalities, there are two types of inequalities that are not strict:
The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or equivalently at most b or not greater than b).
The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or equivalently at least b or not less than b).
A ratio that is not greater than can also be represented as a ≯ b, with the "greater than" symbol separated by a slash "not". The same is also true for no less than and a ≮ b.
The notation a ≠ b means that a is not equal to b; this difference is sometimes considered a form of strict inequality.It does not say that one is greater than the other; it does not even require that a and b be members of an ordered set.
Here given,[tex]2x < 10[/tex]
We want to find solution set of 2x < 10
Now,2x < 10
First we are dividing both side by 2 and get,
[tex] \frac{2x}{2} < \frac{10}{2} \\ x < 5[/tex]
Therefore,required solution is x < 5.
Inequalities related one more question:
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Solve for x and y in the triangles.
(please help me I will pick brainly)
Answer:
52
38
Step-by-step explanation:
Find the additive inverse of -1/8
Answer:
1/8
Step-by-step explanation:
(Dont mind me, just need to add more characters LOL)
f(x)=2x-6 find f(-2)
NEED ANSWER ASAP
gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?
the answer is 5 dimes and 1 nickel.
hope this helps <3
Answer:
4 = dimes and 2 = five cents
Step-by-step explanation:
A radio station requires DJs to play 4 commercials for every 36 songs they play. What is the unit rate of songs to commercials?
Answer:
The correct answer for this question is that the unit rate is 5:1.
Step-by-step explanation:
We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.
Laila read 36 pages in 4 hours. Which expression can be used to find the number of pages she read per hour?
StartFraction 36 hours Over 4 pages EndFraction
StartFraction 4 pages Over 36 hours EndFraction
StartFraction 4 hours Over 36 pages EndFraction
StartFraction 36 pages Over 4 hours EndFraction
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Solve for v.
42 =3v- 15
Simplify your answer as much as possible.
Step-by-step explanation:
42=3v-15
We move all terms to the left:
42-(3v-15)=0
We get rid of parentheses
-3v+15+42=0
We add all the numbers together, and all the variables
-3v+57=0
We move all terms containing v to the left, all other terms to the right
-3v=-57
v=-57/-3
v=+19
Answer:
v= +19
Step-by-step explanation:
Does anyone else have the answer to tan
Answer:
What??
Step-by-step explanation:
Hello there! Can someone help me with this and give me an expalination? I kinda get it but I still need a bit of help! And please provide the answer after your explaintion!
Solve for t. 100-3t=76
Answer:
8
Step-by-step explanation:
100-3t=76
-3t=-24
t=8
Answer:
t=8
Step-by-step explanation:
100 - 3t = 76
-100 -100
-3t = -24
/-3 /-3
t = 8
Hope this helps!
The airplane model scale on the box says that 4 cm represents 5 m. The actual wing measures 6.4 m by 16.95 m. What are the dimensions of the model wing?
Answer:
Dimensions of model wing is 5.12 cm * 13.56 cm
Step-by-step explanation:
Here, we are told that in the model we have 4 cm representing 5 m
So if 4 cm rep 5 m
x cm rep 6.4 m
4 * 6.4 = 5 * x
25.6 = 5x
x = 25.6/5
x = 5.12 cm
4 cm rep 5 m
x cm rep 16.95 m
4 * 16.95 = 5 * x
x = (4 *16.95)/5
x = 13.56 cm
2m - 7 + m = 10 + 3m
Answer:
no solutionStep-by-step explanation:
2m - 7 + m = 10 + 3m
3m - 3m = 10 + 17
0 = 17
therefore, there is no solution
Answer: no solution
Like the other answer said, no solutions avaliable.
An electronics company is changing its internet advertising from a banner advertisement to a pop-up advertisement. The cost of the banner advertisement in dollars is represented by the function C(n) = 0.30n + 5.00 where 'n' is the average number of hits per hour and $5.00 is just a flat-rate cost.
1.) The cost of the pop-up advertisement will double the cost per hit. The equation for this new cost function will be D(n) =
2.) This change does/does not shift the function vertically and/or horizontally.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost function of banner advertisement:
C(n) = 0.30n + 5.00
n = average number of hits per hour
5 = flat rate
From the function, C(n), the cost per hit is the slope value of the function ; which is 0.30
1.) If the cost of pop-up advert will double the cost per hit, the cost function for pop-up advert will be :
D(n) = 2(0.30n) + 5
D(n) = 0.60n + 5.00
B.) This change in cost per hit has resulted in change in slope which is defined as :
[Rise / run = vertical change / horizontal change].
Hence, both vertical and horizontal change has occurred.
The value of x is at most 450.
a
x 450
c
x ≤ 450
d
x ≥ 450
Answer:
Junior PSAT
Training Packet
2016-17
Math Department
Answer Key
Section 3: Math Test — No Calculator
QUESTION 1.
Choice C is correct. Subtracting 6 from each side of 5x + 6 = 10 yields 5x = 4.
Dividing both sides of 5x = 4 by 5 yields x =
_4
5
. Te value of x can now be
substituted into the expression 10x + 3, giving 10 ( _4
5 ) + 3 = 11.
Alternatively, the expression 10x + 3 can be rewritten as 2(5x + 6) − 9, and
10 can be substituted for 5x + 6, giving 2(10) − 9 = 11.
Choices A, B, and D are incorrect. Each of these choices leads to 5x + 6 ≠ 10,
contradicting the given equation, 5x + 6 = 10. For example, choice A is
incorrect because if the value of 10x + 3 were 4, then it would follow that
x = 0.1, and the value of 5x + 6 would be 6.5, not 10.
QUESTION 2.
Choice B is correct. Multiplying each side of x + y = 0 by 2 gives 2x + 2y = 0.
Ten, adding the corresponding sides of 2x + 2y = 0 and 3x − 2y = 10 gives
5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. Finally, substituting
2 for x in x + y = 0 gives 2 + y = 0, or y = −2. Terefore, the solution to the
given system of equations is (2, −2).
Alternatively, the equation x + y = 0 can be rewritten as x = −y, and substituting x for −y in 3x − 2y = 10 gives 5x = 10, or x = 2. Te value of y can then
be found in the same way as before.
Choices A, C, and D are incorrect because when the given values of x and
y are substituted into x + y = 0 and 3x − 2y = 10, either one or both of the
equations are not true. Tese answers may result from sign errors or other
computational errors.
QUESTION 3.
Choice A is correct. Te price of the job, in dollars, is calculated using
the expression 60 + 12nh, where 60 is a fxed price and 12nh depends on the
number of landscapers, n, working the job and the number of hours, h, the job
takes those n landscapers. Since nh is the total number of hours of work done
when n landscapers work h hours, the cost of the job increases by $12 for each
hour a landscaper works. Terefore, of the choices given, the best interpretation
of the number 12 is that the company charges $12 per hour for each landscaper.
Choice B is incorrect because the number of landscapers that will work each
job is represented by n in the equation, not by the number 12. Choice C is
incorrect because the price of the job increases by 12n dollars each hour,
which will not be equal to 12 dollars unless n = 1. Choice D is incorrect
because the total number of hours each landscaper works is equal to h. Te
number of hours each landscaper works in a day is not provided.
QUESTION 4.
Choice A is correct. If a polynomial expression is in the form (x)2
+ 2(x)(y) +
(y)2
, then it is equivalent to (x + y)2
. Because 9a4
+ 12a2
b2
+ 4b4
= (3a2
)2
+
2(3a2
)(2b2
) + (2b2
)2
, it can be rewritten as (3a2
+ 2b2
)2
.
Choice B is incorrect. Te expression (3a + 2b)4
is equivalent to the product
(3a + 2b)(3a + 2b)(3a + 2b)(3a + 2b). Tis product will contain the term
4(3a)3
(2b) = 216a3
b. However, the given polynomial, 9a4
+ 12a2
b2
+ 4b4
,
does not contain the term 216a3
b. Terefore, 9a4
+ 12a2
b2
+ 4b4 ≠ (3a + 2b)4
.
Choice C is incorrect. Te expression (9a2
+ 4b2
)2
is equivalent to the
product (9a2
+ 4b2
)(9a2
+ 4b2
). Tis product will contain the term (9a2
)
(9a2
Answer:
that looks hard
Step-by-step explanation:
b
х
у
-1
1
0
2.
1
4
2
8
3
16
Using the table from Question 7, select 1 other possible representation,
4
Of(-1) =1
f(n) = f(n-1)-2
Of(-1) = 1
f(n) = f (n − 1) +
Of(-1) = 1
f(n) = f(n-1) + 2
of(-1) = 1
f(n) = f (2) - n-1
Answer:
1,7 so you can do add to get to it
please help meeeeeeeeeeeeeeeeeeee
Answer:
Im pretty sure it's D
Step-by-step explanation:
Srry if Im wrong.
Plz mark brainliest
What is the value of x?
Answer:
90
Step-by-step explanation:
Answer:
x=95 degrees
Step-by-step explanation:
All of the angles in a triangle add up to 180, so 45+50+(180-x)=180.
Open the parenthesis, and you get 45+50+180-x=180.
Then subtract 180 from both sides, so 45+50-x=0.
Simplify that to 95-x=0, and add x to both sides.
x=95
Also, you can use exterior angles theorem, which states that 45+50=x.
That's the shorter way.
(5x + 6x3 + 2x) - (3x - 2x3 - 7x2) is equivalent to:
8x3 + 12x2 - X
B
4x3 -- 5x2 - x
C
-4x3 + x2 + 6x
2x3 + 4x2 -- 5x
Answer:
A- 8x^3 + 12x^2 - x
Step-by-step explanation:
The symbol ^ with a 2 is squared and ^ with 3 means cubed.
1. Add a 1 before the parenthesis on both sides. Now, the equation should look like 1(5x^2 + 6x^3 + 2x) -1(3x - 2x^3 - 7x^2).
2. Now we should distribute. 1 × 5x^2 + 1 × 6x^3 + 1 × 2x -1 × 3x + -1 × -2x^3 + -1 × -7x^2.
3. Now the equation should be simplified.
1 × 5x^2 = 5x^2
1 × 6x^3 = 6x^3
1 × 2x = 2x
-1 × 3x = -3x
-1 × -2x^3 + -1 = 2x^3 -1. In this equation, there is a +- sign together, which is the same as a - sign.
-1 × -7x^2 = 7x^2
4. The new equation is 5x^2 + 6x^3 + 2x - 3x + 2x^3 - 1 + 7x^2
5. Now you can combine the like terms. 5x^2 and 7x^2 can be added, so 5x^2 + 7x^2 is equal to 12x^2. Also, 6x^3 and 2x^3 can be added, so 6x^3 + 2x^3 is equal to 8x^3. Lastly, 2x and -3x can be combined, so 2x - 3x is equal to -1x or -x.
6. So, the simplified equation is 12x^2 + 8x^3 -x. You can also write it as 8x^3 + 12x^2 - x. So, A is the answer.
Given the function y=2x , which function represents a translation to the right of 4 units?
Answer:
A function represents a translation to the right of 4 units is y=2(x-4)
Step-by-step explanation:
We are given a function: [tex]y=2x[/tex]
We are supposed to find function represents a translation to the right of 4 units
Rule: f(x)→f(x-c)
When the graph is shifted to right by c units then f(x)→f(x-c)
Function y = f(x)=2x
After a translation to the right of 4 units using rule
f(x-4)=2(x-4)
So, A function represents a translation to the right of 4 units is y=2(x-4)
Help me please) Bro Im dumb Help
Answer:
The answer is 69 degrees.
Step-by-step explanation:
All you have to do is take the higher temperature and subtract it by the lower one.
9- 3(2x + 7) + 4x – 45
Answer:
−2x−57
Hope this helps!
what is the domain or range of y = one-fourth x minus 6
Answer:
domain and range will be ( negative infinity, positive infinity
Is 6.825 rational or irrational
Answer:
rational since all decimals that terminate are rational here is a sheet to help
6.825 is rational number.
What are rational numbers?A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The set of rational numbers is denoted by Q.
Given number: 6.825
Now, we know Terminating decimals like 0.35, 0.7116, 0.9768, etc., are rational numbers.
So, we can see that 6.825 is terminating decimal.
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Name the property illustrated by the equation.
-6xy + 0 = -6xy
Answer:
identity
Step-by-step explanation:
Answer:
identity
Step-by-step explanation:
mr.ortega sandwich shop sells and 6 inch sandwich for 3.30 and a 12 inch sandwich for 7.20 he wants to find out which sandwich is the better deal
Answer:
the 6 inch is a better deal because it is 55 cents per inch while the 12 inch is 60 cents per inch
y = 2x – 5
X Y
0 y1
2 y2
5 y3
7 y4
y1=?
y2=?
y3=?
y4=?
Answer:
y1 = -5
y2 = -1
y3 = 5
y4 = 9
Step-by-step explanation:
The equation of the table is
y = 2x - 5
The table is
→ x → y
→ 0 → y1
→ 2 → y2
→ 5 → y3
→ 7 → y4
To complete the table by finding the values of y substitute every x in the equation by its value to find the corresponding y
∵ y = 2x - 5
∵ x = 0
→ Substitute x by 0
∴ y1 = 2(0) - 5
∴ y1 = 0 - 5
∴ y1 = -5
∵ y = 2x - 5
∵ x = 2
→ Substitute x by 2
∴ y2 = 2(2) - 5
∴ y2 = 4 - 5
∴ y2 = -1
∵ y = 2x - 5
∵ x = 5
→ Substitute x by 5
∴ y3 = 2(5) - 5
∴ y3 = 10 - 5
∴ y3 = 5
∵ y = 2x - 5
∵ x = 7
→ Substitute x by 7
∴ y4 = 2(7) - 5
∴ y4 = 14 - 5
∴ y4 = 9
Answer:
(D) y2 and y4
Step-by-step explanation:
Find an equivalent fraction for the decimal: .57
sk
Find the value of x and m
Answer:
x=5 m=3
Step-by-step explanation:
Jill converted the equation of the line 15x-4y=-2 into slope-intercept form and found the slope and y-intercept of the line
as follows.
What was her Mistake?
She Mixed Up the slope and the y-intercept.
She got the sign of the slope wrong.
She git the sign of the y-intercept wrong.
She found reciprocals of the slope and the y-intercept.
ASAP Please Right Answer
Answer:
She got the sign of the slope wrong
Step-by-step explanation:
She did [tex]\frac{-4y}{-4} = \frac{-2-15x}{-4}[/tex] and turned that into [tex]\frac{-2}{-4}-\frac{-15x}{-4}[/tex], which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.
Please mark brainliest if this helped you!
Answer:
she got the sign of slope wrong
Step-by-step explanation:
took test on edg
1. Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, y, after x days. In how many days will the water level be 26 feet?
Slope(m)=
y-intercept(b)=
equation y=
Answer=
Slope = -0.5
Y-intercept = 34
Equation: y = -0.5x + 34
Answer = It will take 16 days for the water level to be 26 feet.
The question is an illustration of a linear function.
The equation of the function is: [tex]\mathbf{y = 34- 0.5 x}[/tex]The number of days to reach 26ft is 16The given parameters are:
[tex]\mathbf{Level = 34ft}[/tex]
[tex]\mathbf{Rate = -0.5ft/day}[/tex]
The equation of the function is:
[tex]\mathbf{y = Level +Rate \times x}[/tex]
Where:
y represents the water level
x represents the number of days
So, we have:
[tex]\mathbf{y = 34- 0.5 \times x}[/tex]
[tex]\mathbf{y = 34- 0.5 x}[/tex]
A linear equation is represented as;
[tex]\mathbf{y = mx + b}[/tex]
So, by comparison:
[tex]\mathbf{Slope(m) = -0.5}[/tex]
[tex]\mathbf{y-intercept (b) = 34}[/tex]
When the water level is 26, it means y = 26.
So, we have:
[tex]\mathbf{y = 34- 0.5 x}[/tex]
[tex]\mathbf{26 = 34 - 0.5x}[/tex]
Collect like terms
[tex]\mathbf{26 - 34= - 0.5x}[/tex]
[tex]\mathbf{-8= - 0.5x}[/tex]
Divide both sides by -0.5
[tex]\mathbf{16= x}[/tex]
Rewrite as:
[tex]\mathbf{x = 16}[/tex]
Hence, the number of days to reach 26ft is 16
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