Evaluate
3(x+4)(x+1)
————— for x=4.
(x+2)(x-2)
A. 10
B. -10
C. 10/3
D. -10/3
Answers
Answer:
[tex] \frac{3(x + 4)(x + 1)}{(x + 2)(x - 2)} \\ x = 4 \\ then \frac{3(4 + 4)(4 + 1)}{(4 + 2)(4 - 2)} \\ = \frac{3 \times 8 \times 5}{6 \times 2} \\ = \frac{120}{12} = 10 \\ thank \: you[/tex]
Related Questions
A new business had a profit of $6,500 in the first month, a loss $1,200 in the second month and a loss of $1,300 in the third month. What is the net profit or net loss over the first three months
Answers
Answer:
$4000 net profit
Step-by-step explanation:
Profit adds to the net revenue, while loss subtracts from it.
So 6500 is positive but 1200 and 1300 are negative.
+6500 - 1200 - 1300 = 5300 - 1300 = 4000
$4000 profit
How many HOURS AND MINUTES are in 135 mins? Explain how you found out the answer as you would to a kid in 2ND GRADE. (Use simple words)
Answers
Answer:
There are 2 hours and 15 minutes in 135 minutes
Step-by-step explanation:
We know that 1 hour = 60 minutes, 2 hours is 120 minutes, 3 hours is 180 minutes and so on. What amount of hours is 135 closest too? 2 hours.
Now that we know the amount of hours there is in 135 minutes, we need to find the rest of the minutes. To find this, we need to use subtraction. Subtracting [tex]120[/tex] from [tex]135[/tex] gives us [tex]15[/tex]. So, [tex]135[/tex] minutes is equal to 2 hours and 15 minutes.
Hope this helped you (and others) out! If this answer was too complicated for you, please tell me and I will try to make it more easier to understand!
geometry help pls
How do you say DE = FG?
can someone explain why
Answers
Answer:
first option
Step-by-step explanation:
congruency has its own symbol and it's a ~ top of a = sign. and the expression doesn't have the symbol. so we can eliminate two options out meaning it's a.
The correct answer would be an option (A) the measure of segment DE is equal to the measure of segment FG.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
SSS stands for Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.
SAS stands for Side-Angle-Side criterion. According to this, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.
Given that, DE = FG
Congruency is represented by its own symbol, which is a ~ sign on top.
Here, Segment FG's measure is equal to segment DE's measure.
There is no symbol assigned to the expression. Since two possibilities are no longer an option, it must be Option (A).
Hence, the measure of segment DE is equal to the measure of segment FG
Learn more about of congruent triangles here:
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Solve the given equation for X.
X/3 + X/7 = 5/3
Answers
In decimal form it’s 3.5
Answer: x = 3.5
Step-by-step explanation:
Given
x/3 + x/7 = 5/3
Determine the Least Common Multiple (LCM) of the denominators
First 10 multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
First 5 multiples of 7: 7, 14, 21, 28, 35
Since 21 is the first overlapping term in both lists, therefore, 21 is the LCM of 3 and 7.
Multiply Least Common Multiple (LCM) of the denominators on both sides
21 (x/3 + x/7) = 21 × 5/3
Expand parentheses and apply the distributive property
7x + 3x = 35
Combine like terms
10x = 35
Divide 10 on both sides
10x / 10 = 35 / 10
[tex]\boxed {x=3.5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
i hate math ( ◠‿◠ )
help me PLS
Answers
Answer:
g=Xs+t
Step-by-step explanation:
please love math
to learn math, to look for topics you don't know in the internet
What Types of Dogs Are These!?!?!??!??!??!??!??
1.
2.
3.
4.
I put this for math so.......... What is 3+-13976?
Answers
3+-13976 mean 3-13976
So , the answer is 3-13976= -13973
Kris drives 30 miles to work. For the first x miles, he drives 40 miles per hour. Then he is stuck in traffic and averages only 3 miles per hour the rest of the way. This expression can be used to find the total time Kris spends commuting: 40(x) + 3(30 - x).
Simplify the expressions.
1. 3(30 – x)
2. 40(x) + 3(30 - x)
Answers
Answer:
1) -3x + 90
=(3)(30+−x)
=(3)(30)+(3)(−x)
=90−3x
=−3x+90
2) 37x+90
=40x+(3)(30)+(3)(−x)
=40x+90+−3x
Combine Like Terms:
=40x+90+−3x
=(40x+−3x)+(90)
=37x+90
1+sin^4-cos^4a/1-sin^6-cos^6a=2/3cos^2a
Answers
Answer:
Step-by-step explanation:
From what I can come up with with no actual factual information is that the equation is
[tex]\frac{1+sin^4x-cos^4x}{1-sin^6x-cos^6x}=\frac{2cos^2x}{3}[/tex] I'm going with that because it actually solves pretty easily, which is usually the way this goes. Begin by cross multiplying:
[tex]3(1+sin^4x-cos^4x)=2cos^2x(1-sin^6x-cos^6x)[/tex] and distribute:
[tex]3+3sin^4x-3cos^4x=2cos^2x-2cos^2xsin^6x-2cos^8x[/tex] and then break up the powers of sin into squared sines:
[tex]3+3[sin^2x*sin^2x]-3cos^4x=2cos^2x-2cos^2x[sin^2x*sin^2x*sin^2x]-2cos^8x[/tex] and use the Pythagorean identity to change those sines into cosines:
[tex]3+3[(1-cos^2x)(1-cos^2x)]-3cos^4x=2cos^2x-2cos^2x[(1-cos^2c)(1-cos^2x)(1-cos^2x)]-2cos^8x[/tex]
and the FOIL out those terms inside the square brackets:
[tex]3+3[1-2cos^2x+cos^4x]-3cos^4x=2cos^2x-2cos^2x[1-3cos^2x+3cos^4x-cos^6x]-2cos^8x[/tex]
and distribute again on both sides to get rid of the brackets entirely:
[tex]3+3-6cos^2x+3cos^4x-3cos^4x=2cos^2x-2cos^2x+6cos^4x-6cos^6x+2cos^8x-2cos^8x[/tex]
and combining like terms cancels a lot of that out to leave:
[tex]6-6cos^2x=-6cos^6x+6cos^4x[/tex] and get everything on one side to factor:
[tex]0=-6cos^6x+6cos^4x+6cos^2x-6[/tex] and factor out the -6:
[tex]0=-6(cos^6x-cos^4x-cos^2x+1)[/tex] and now we'll factor by grouping, so grouping everything together to get ready for that:
[tex]0=-6[(cos^6x-cos^4x)-(cos^2x+1)][/tex] and begin the factoring:
[tex]0=6[cos^4x(cos^2x-1)-1(cos^2x-1)][/tex] and continuing the factoring:
[tex]0=-6(cos^2x-1)(cos^4x-1)\\0=-6(cos^2x-1)(cos^2x-1)(cos^2x+1)[/tex] and by the Zero Product Property (and we won't list that duplicated factor cuz it's not necessary):
[tex]cos^2x-1=0[/tex] or [tex]cos^2x+1=0[/tex]
Solving the first:
[tex]cos^2x=1[/tex] so
x = 0 + 2kπ and solving the second one:
[tex]cos^2x=-1[/tex] which is not solvable over the real number system.
So x = 0 + 2kπ
and I really hope that's what you were looking for!
Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store. In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour, How much does she make on average per hour for the day?
Answers
Answer:
$14.93
Step-by-step explanation:
she works 7+8=15 hours.
she earns in total per day
7×$23.46 + 8×$7.47 = $223.98
on average she makes per hour
223.98 / 15 = $14.93
She make on average 223.98 per hour for the day.
Given that,
She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store.
In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour.
We have to determine,
How much does she make on average per hour for the day.
According to the question,
She usually works at a retail store for 7 hours earn = $23.46 per hour.
She works at a restaurant as a manager for 8 hours = $7.47 per hour
Total number of hours she works = 7hours + 8hours = 15hours
Therefore,
She make on average per hour for the day =
7×$23.46 + 8×$7.47 = $223.98
Hence, she make on average 223.98 per hour for the day.
To know more about Addition click the link given below.
https://brainly.com/question/24442197
Maria is 6 years older than her sister Emily. Emily is 15 years old. If M= Maria's age, then the equation M-6=15 would describe the problem. What inverse or opposite operation would you use to solve the equation?
A. Add 6 to both sides
B. Subtract 6 from both sides
C. Multiply both sides by 6
D. Divide both sides by 6
Answers
4. Separate 77 into two parts so that one part is 4 less than twice as much as the other. Find each part.
Answers
Answer:
50,27
Step-by-step explanation:
let the parts be x and y
x+y=77
x=2y-4
substitute
2y-4+y=77
3y=77+4
3y=81
y=81/3=27
x=2×27-4=54-4=50
27. Write an expression for the perimeter of the figure as the sum of the
lengths of its sides. Then simplify your answer.
Answers
Simplified is
2a-2b +2a + 2b
Leaves a simple 4a for the total perimeter.
The perimeter of the figure is 4a.
What is the perimeter of a polygon?The perimeter of a polygon is defined as the addition of the lengths of the polygon's each side.
The perimeter of a polygon = sum of all sides
To determine an expression for the perimeter of the figure as the sum of the lengths of its sides.
The perimeter of the figure as
The perimeter of the figure = sum of all sides
⇒ 2(a-b) + a +2b +2c + a - 2c
Rearrange the likewise terms in the expression
⇒ 2a - 2b +2a + 2b
Apply the arithmetic operations in the expression
⇒ 4a
Thus, the perimeter of the figure is 4a.
Learn more about the perimeter here:
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Write 0.2 as a fraction in simplest form.
Answers
Answer:
It is 1/5
Step-by-step explanation:
0.2 is a decimal ( tenth value [1/10] )
[tex]0.2 = \frac{2}{10} [/tex]
divide the fraction ( numerator and denominator ) by 2:
[tex] = \frac{2 \div 2}{10 \div 2} \\ \\ = \frac{1}{5} [/tex]
golf activity geometry
use distance formula
HELP PLEASE n explain if you know!
Answers
Answer:
Step-by-step explanation:
Ms. Ferris owns a barn 12 yards long
Answers
Answer:
V = 1188 yd^3
Step-by-step explanation:
The volume or a rectangular prism is given by V = l*w*h V = 12 (9) * 11 V = 1188 yd^3
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/6458403-msferris-owns-a-barn-12-yards-long-9-yards-high-and-11-yards.html
After a price increase of 20% the cost of entry to a museum rose to $25.80. Find the original
entry fee
Answers
Answer:
21.5 dollars
Step-by-step explanation:
Suppose the original price is x, then it became x+ x/100*20=1.2x
1.2x=25.8
x=21.5
n decreased by 35% is 117
find n
show solutions please
Answers
Answer:
According to question, we get the following equation:
n-35% = 117
n-35/100 = 117
(100n-35)/100 = 117 ........... Took LCM
100n-35 = 117*100
100n-35 = 11700
100n = 11700-35
100n = 11665
n = 11665/100
n = 116.65 .......... ANSWER
Are (2,9) and (-3,-6) both on the line y = 4x + 6? If not, find an equation for the line that does pass through both points.
Answers
Answer:
no, y=3x+3
Step-by-step explanation:
plug both points into the equations:
9=4*2 +6 -> 9=8+6, doesn't work-6=4(-3)+6 -> -6=-6, worksone works but the other doesn't so now we find a line through both points
use the formula (y_2-y_1)/(x_2-x_1) to find the slope:
(-6-9)/(-3-2)=-15/-5=3y=3x+b, plug in a point to find b:
9=3(2)+b9=6+bb=3y=3x+3Construct a line that is perpendicular to
AB and passes through point X.
-I really need help I’m crying at the moment :/
Answers
2.) Same thing, just draw a line through point O and the line. They should look similar to t’s
Hope this helped!! I understand math can get really hard, soon it’ll all be over :)
How many sides does an octagon have
Answers
how can i solve it?
8=-6n-2n
Answers
Answer:
n=-1
Step-by-step explanation:
Writing out the problem
8=-6n-2n
Simplifying "-6n-2n," which is -8n
8=-8n, or -8n=8
-8n=8
Divide both sides by -8
-8n/-8=8/-8
So, therefore, you get n=-1.
Hope this helps! Enjoy your day, and take care!
5+(-2)= ? Please help! I don’t know the answer
Answers
Answer:
It will be 3 because its take away hope this helped
Inverse function
G(x)=2x+2
Answers
Answer:
Step-by-step explanation:
y = 2x + 2
x = [tex]\frac{y-2}{2}[/tex]
y = [tex]\frac{x-2}{2}[/tex]
[tex]g^{-1}[/tex] (x) = [tex]\frac{x-2}{2}[/tex]
the yearly membership to the san diego zoo for a family with 2 adults and 2 children is $144. the regular admission to the zoo is $18 for each adult and $8 for each child. how many times should such a family plan to visit the zoo in a year to make a membership less expensive than paying regular admission?
Answers
Two visits would cost $104 at regular rate
Three visits would cost $156
If the family visits the zoo more than twice it would be cheaper to have a membership.
find the distance between P=(4,7) and Q=(1,3)
Answers
Answer:
may be 5 unit is the distance is between then
Answer:
5 units
Step-by-step explanation:
use distance formula kid
An electrician charges $32 per home visit plus an additional $22.75 per hour. He arrives at a costumers home at 9:00am. The final bill for the visit is $128.69. At approximately what time did the electrician Lea e the costumers home?
Answers
Answer:
well since you said 32 per home since that wasnt a hour he was there, i took off 32 from the 128.69 and got 96.69 and divided that by 22.75 and got 4.2 hours but if that's not what you are talking about ill also give the answer for 128.69 divided by 22.75 and the answer for that is 5.6
Step-by-step explanation:
so just add 4.2 or 5.6 to hours and you will get you question at what time he left
Convert Decimal to Fraction
Answers
Answer:
1. 0.832
832/1000
Can be simplified as
416/500
104/125
2. 1.2
12/10
Can be simplified as
6/5
3. 0.1
1/10
4. 0.459
459/1000
5. 1.51
151/100
6. 0.9
9/10
Which were the required answers
Pls help fast, with steps
Answers
Answer:
answer is D
Step-by-step explanation:
PAR = 25
RPA= 25
PRA= 130
PRQ = 180- 130 = 50
PRQ =PQR = 50
X= 180 +(50 +50) =80
is 4.49 a rational number
Answers
Answer:
yes it is
rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). It can be written as a fraction in which the the top number (numerator) is divided by the bottom number (denominator).
plsmark me brilliant
I need help please please please
Answers
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day