Answers
Answer:
Option A
Step-by-step explanation:
We will simplify the expressions given in the options first,
x² - 16 = (x - 4)(x + 4)
2x + 8 = 2(x + 4)
x² + 8x + 16 = (x + 4)²
Option A
[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]
= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]
= [tex]\frac{x-4}{2(x+4)}[/tex]
Option B
[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]
= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]
= [tex]\frac{2}{x^2-16}[/tex]
Option C
[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]
= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{(x-4)(x+4)}{2}[/tex]
Option D
[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]
= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{2(x+4)}{(x-4)}[/tex]
Therefore, Option A is the answer.
Related Questions
❌❌❌WILL GIVE BRAINLIEST
Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
Answers
Answer: n=1,2,3
Step-by-step explanation: if we plug in these numbers 2*1+3*1=5*1 this works. If we do this for 2 then we have 2*2+3*2=10 and 5*2= 10 this also works. The same thing with 3. 2*3+3*3=15 5*3=15
Hope this helps!
Given g(x) = -2x + 3, solve for x when g(x) = -3.
Answers
= 6 + 3
= 9
Zayna has 4 boxes with 14 art books in each box. She has 3 bags with 12 math books in each bag. If she
gives 15 books away, how many art and math books does she have left?
Answers
Your answer is 11 art and math books left
find the value of x in a triangle. x-20, x+10, x-20
Answers
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
Find the volume of a right circular cone that has a height of 7.5 m and a base with a
radius of 14.7 m. Round your answer to the nearest tenth of a cubic meter.
Answers
r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root
Answer:
1697.2 <3
i got it right
find the simple interest principle 950 interest rate 12% time 4 years
Answers
Answer:
A= $1406
Step-by-step explanation:
The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.
Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).
Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!
Your final answer should be $1406, otherwise you did something wrong! XD!
6 more than the product of 22
Answers
4
10
-6
-544
32"
2 3 4 5 6
8
9 10
O y = -0.2(x + 3)2 – 4
Oy= -0.2(x – 3)2 - 4
Submit Answer
O y = 0.2(x + 3)2 - 4
O y = 0.2(x - 3)2 – 4
Answers
Answer:
10 -6 -544 32" 2 3 4 5 6 8 9 10 O y = -0.2(x + 3)2 – 4 Oy= -0.2(x – 3)2 - 4
If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have? math
Answers
Answer: There is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.
Step-by-step explanation:
The sum of the measures of interior angles of a polygon with [tex]n[/tex] sides is given by:-
[tex](n-2)\times180^{\circ}[/tex]
Given: The sum of the measures of the interior angles of a polygon is 1920°.
i.e. [tex](n-2)\times180^{\circ}=1920^{\circ}[/tex]
[tex]n-2=\dfrac{1920}{180}\\\\ n= \dfrac{1920}{180}+2\\\\ n=\dfrac{2280}{180}=12.67[/tex]
But number of sides cannot be in decimal.
Hence, there is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.
Write a recursive function for each of the following sequences
9, 15, 27, 51, 99
Answers
Answer:
N=6
Step-by-step explanation:
Find two integers whose sum is -14 and product is 33
Answers
Answer:
Step-by-step explanation:
a+b=-14
a=-14-b
ab=33, using a from above makes this become
(-14-b)b=33
-14b-b^2=33
b^2+14b+33=0
(b+11)(b+3)=0
So the numbers are -3 and -11
The graph models the amount of radioactive element present over the course of a 10-minute experiment.
What is the average rate of change of the amount of the element over the 10-minute experiment?
A.
-2.0 g/min
B.
-5.0 g/min
C.
-0.2 g/min
D.
-1.8 g/min
Answers
Answer:
D is the answer - 1.8 g/min
Step-by-step explanation:
Part A: Let y represent the number of rabbits after x years. Which functioncan be used to model y as a function of x, where x is a non negative number ?
А. y = 10 (3) ^ (x - 1)
В. y = 10 (3) ^ x
C. y = 3 (10) ^ (x - 1)
D . y = 3 (10) ^ x
Answers
Answer:
y = 10(3)x
Step-by-step explanation:
The exponential function that can represent the population of rabbits after [x] years is y = 10(3)ˣ.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.
Given is rate of increase of a rabbit's population.
The exponential function that can represent the population of rabbits after [x] years can be written as -
y = 10(3)ˣ
Refer to the graph attached.
Hence, the exponential function that can represent the population of rabbits after [x] years is y = 10(3)ˣ.
To solve more questions on functions, visit the link below -
brainly.com/question/1632425
#SPJ2
A. [-2,3]
B. [-4,5]
C. [1,3]
D. [-5,0]
PLEASE ANSWER ASAP !!!
Answers
The value of x for the system is 1. What is the value of y?*
1 point
3x + y = 9
y = -4x + 10
1. Substitute the value of y in the first equation:
2. Combine like terms:
3. Apply the subtraction property of equality:
4. Apply the division property of equality:
3x + (-4x + 10) = 9
-x+ 10 = 9
-X = -1
x = 1
O y = 14
O y = 12
O y = 6
O y=3
When loesolved
system lisin
bstitution bet7
TA
Answers
Evaluate the expression (13 − 3)2 ÷ 50.
The value of the expression is
Answers
Answer:
0.24
Step-by-step explanation:
(13 - 3) 2 / 50
10 + 2 / 50
12 / 50
=0.24
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
Exact form: 2/5
Decimal: 0.4
Step-by-step explanation:
62x+4=33x×2x+8 please solve it
Answers
Does this triangle have a hypotenuse about 39 feet long
Answers
Answer:
hypotenuse is about 33 ft long
Step-by-step explanation:
a^2+b^2=c^2
a= 30
b=14
30^2+14^2= 1096 =c^2
[tex]\sqrt{1096}[/tex]=c
33.1=c
hypotenuse is about 33 ft long
Answer:
No, the Hypotenuse is 33.11
Step-by-step explanation:
The formula for finding a hypotenuse is:
[tex]\sqrt{x^2+y^2}[/tex]
x=30 and y=14 here
[tex]x^2=900[/tex]
[tex]y^2=196[/tex]
[tex]x^2+y^2= 1,096[/tex]
[tex]\sqrt{1,096} = 33.11[/tex]
So it would be about 33, not 39
You deposited $10,000 into a savings account that compounds quarterly. The account has an interest rate of 3%. What would be the value after 30 years?
Answers
Answer:
$24272.62
Step-by-step explanation:
Given data
Principal= $10,000
Rate= 3%
Time = 30 years
The expression for the compound interest is given as
A= P(1+r)^t
Substitute
A=10000(1+0.03)^30
A=10000(1.03)^30
A=10000*2.4272
A= 24272.62
Hence the final Amount A=$24272.62
which one of the following is a factor of a²+bc+ab+ac?
Answers
a (a+b) + c (b + a)
(a+b) ( a+c)
GIVING BRAINLIEST!!!! Please help :(
Select the statement that describes this expression: (10 − 3) x 4 + 5.
A) 10 subtract 3 times 4 minus 5
B) 5 more than the difference of 10 and 3
C) Multiply 4 by the difference of 10 and 3, then add 5
D) 4 times the difference of 5 more than 10 and 3
Answers
(I need help ) the graph shows the relationship between the
number of cubic yards of soil ordered and the
total cost of the soil delivered.
Answers
Answer:
80/320
Step-by-step explanation:
answer is given
The sum of − , − − is
Answers
State if the triangles in each pair are similar. If so, complete the similarity statement.
Answers
Answer:
B
Step-by-step explanation:
Set up a proportion and see if it is true:
[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]
True, so they are similar.
The similarity statement would be QRS ~ QED
So B is the answer
Mike is catering a party. He plans on having 4 trays of 5 appetizers each on the buffet at the beginning of the party and will rotate in new trays as those become empty. To ensure that he does not run out of appetizers during the party, he is going to make 2 appetizers per person in addition to the initial number put out on the buffet. Which of the following represents A, the amount of appetizers Mike needs to make, in terms of p, the amount of people attending the party?
Answers
Answer:
A = 20 + 2p
Step-by-step explanation:
A = 4(5) + 2p
A = 20 + 2p
A = 2p + 20
A = 2(p + 10)
I’m getting the 20 from the 4 trays of 5 appetizers on the buffet. I’m getting the 2p from the “two appetizers per person”
A line passes through the points (0, -2) and (3, 4). Find the slope of the line.
Answers
At the most recent dance ASB sold 143 tickets and collected $1470 of students sold for $10.00 and teachers tickets sold for $15.00 how many teachers attended the dance
Answers
Answer:
8
Step-by-step explanation:
1470 = 10s+15t
143 = s+t
1470 = 10(143-t)+15t
40 = 5t
8 = t
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+2=3 (x-6)
Answers
Answer:
Step-by-step explanation:
It x=2
5x+8 = 18
Please answer fast
Answers
Answer:
5x + 8 = 18
5x = 18 - 8
5x = 10 (divide both sides by 5 to get x)
5x/5 = 10/5
x = 2
Step-by-step explanation:
also can i get brainliest
Simplify. Consider all cases. |12 - x|
The second one is filled out. It would be appreciated if someone filled out the first and third.
Also, I am giving out brainliest and a follow + 50 points. Please help me guys.
Answers
Answer:
x-12 if x>12
0 if x is 12
12-x if x<12
Step-by-step explanation:
hope it helps
x-12 if x>12
0 if x is 12
12-x if x<12