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
pretend like i said sumn funny
Answers
Answer:
ok hahahahahahahahahha
Answer:
laughs
Step-by-step explanation:
Write the recursive formula for this sequence: 3, 1, -1, ... *
Answers
Answer:
the answer is 5-2n please do you get it
HELP MEH PLEASE is my meal is $6.98 and I only have $5.50 how much more money do I need
Answers
Answer:
1.48$ is the amount you need more
Answer:
$1.48
Step-by-step explanation:
You need to subtract the total money needed from the money you have.
6.68 - 5.50 = 1.48.
$1.48 more money is needed.
Сколько членов
Последовательность задана формулой Сn=15/
n+ 2
Сколько членов этой последовательности больше 3?
Answers
A test is divided into 4 sets of problems with the same number of problems in each set. Alice correctly solves 35 problems. How many problems are on the test if Alice solved more than 60 percent of the problems, but less that 65 percent of all problems? Give all possible answers.
Answers
Answer:
56 problemsStep-by-step explanation:
The number is between
35/0.6 = 58.33and
35/0.65 = 53.84and
is multiple of 4Possible numbers are:
54, 55, 56, 57 and 58Only one of the numbers, 56 is divisible by 4
Answer:
The possible number of question are
232,228,224, and 220.
Step-by-step explanation:
Given that Alice correctly solves 35 problems
From the statement, 35 represents between 60 and 65 percent of the whole problem.
Let x be the total number of questions and choose 61% as the percentage Alice solved then,
61% of x = 35
0.61x = 35
x = 35/0.61
= 57.37
Aproximately 57
The possible answer are 58, 57, 56, 55
Since this represent 1 part, the question on test are:
54 * 4 = 232
or
57 * 4 = 228
or
56 * 4 = 224
or
55 * 4 = 220
line R when plotted passes through the points (1,-3) and (5,9). When Line S crosses line R it forms right angles which of the following must be the slope of line S?
1) 3/2
2) -2/3
3) 3
4) -1/3
Answers
can someone help asap?
What is the length of red segment EC to the nearest tenth?
Answers
So that means 4^2 + 7^2 = length of green
That equals 8.1 when you square root it.
Then, you use 8.1^2 + 3^2 (which is the green rectangle height) to find the red line using the same equation
So your answer is 8.6 cm.
luciana was making $10 per hour. She just got raise and now makes $10.50 an hour. What was the percent increase in her hourly wage?
Answers
Answer:
just 50 cence increase
Step-by-step explanation:
please help! what does x equal
Answers
Answer: 76
Step-by-step explanation:
Find the value of x in the triangle shown below.
X°
27°
45°
Answers
Answer:
So the sum of a triangle is 180° so 45°+27°= 72°
180° - 72°= 108°
X = 108°
someone please answer this!!
Answers
Answer:
second option
Step-by-step explanation:
the side length of AB should be equal to XY as they are corresponding sidelengths
Answer:
BC=YZ
AB=XY
Step-by-step explanation:
Line BC is congruent to Line YZ
Line AB is congruent To line XY
What is a reason to include the image of a setting sun in this advertisement? a to provide more color to the advertisement b to make the sale more appealing to shoppers c to add something interesting to the ad d to reinforce the idea that the season is ending
Answers
Answer:
The reason is to allow others to explore and have an image to reference to.
Step-by-step explanation:
Answer:
B, to make the ad more appealing
A cell phone plan costs $200 to start. Then there is a $35 charge each month. Write an equation to calculate the cost, y, for x months of service with this plan. *
Answers
Answer:
y = 35x + 200
Step-by-step explanation:
It's 35 per month (x) and you add the start no matter what so that's the 200.
Determine which ordered pair is a solution of y=−3x+3.
(1, –6)
(–5, 18)
(9, –2)
(–4, –9)
Answers
And you can also use desmos for this type of questions
The Acme Company produces metal rods. The largest rod that the Acme company produces is 10 feet long and 2 feet in diameter. How much material (the volume) is required to produce 1 metal rod? Round to the nearest tenth. Use 3.14 for \piπ .
Answers
Answer:
31.4 ft³
Step-by-step explanation:
Using the relation :
Volume, V = πr²h
Height = 10 feets ; diameter = 2 feets, radius, r = 2 /2 = 1 feet
Volume , V = π * 1^2 * 10
V = 1 * 10 * 3.14
V =31.4 feet³
Hence, the volume of material needed to produce 1 metal rod is 31.4 ft³
Graham deposited $400 in an account that earns 5% annual compounded annually. How much interest will the account earn after 4 years, if he makes no withdrawals or deposits?
PLEASE SHOW YOUR WORK!!!!
WILL MARK BRAINLIEST!!!
Answers
Answer:
$480 total or 80$ in interest
Step-by-step explanation:
5 percent of 400 is 20
20 x 4 = 80
400+ 80= 480
he will make $480 after 4 years
I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)
Answers
HELP ME PLS IM AWARDING BRAINLIEST!
Answers
Answer:
(4th option) 254.34 cm
Step-by-step explanation:
Area of a circle = pi (r)^2
r=radius of circle which is half of diameter.
diameter=12+6=18
So, radius is half of 18 = 9
Plug it into the formula:
[tex]\pi (9)^{2}[/tex]
And you should get 254.34 cm^2
Answer:
Step-by-step explanation:
area of a circle is pi * r^2
r for the big circle is 1/2 of 18 or 9
pi * 9^2 = 254.469
New version of question pls help
Answers
answer
a is 39750000
b is 99375
Step-by-step explanation:
big numbers
A fish starts at -13 meters and changes -17 meters
Answers
Answer:
The fish is at -13 meters and changes -17 meters.
-13-17 = -30
The fish ends at -30 meters.
Let me know if this helps!
Maggie is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 10 inches × 13 1 2 inches. She needs to cut another rectangle that is 10 1 3 inches by 10 1 2 inches. How many total square inches of construction paper does Maggie need for her project?
Answers
Answer:
243.5 in²
Step-by-step explanation:
Given :
Dimension of rectangule 1 :
10 inches * 13 1/2 inches
Area = (10 * 27/2) inch² = 135 in²
Dimension of rectangle 2 :
10 1/3 inch * 10 1/2 inch
Area = (31/3 * 21/2) in² = 108.5 in²
Tot square inch of construction paper needed /
(135 in² + 108.5 in²) = 243.5 in²
Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.
What is the probability Nerissa will choose a purple bow?
Answers
Answer:
[tex] \frac{4}{10} [/tex]
Step-by-step explanation:
Add all the bows together to get your total amount of bows, 5+1+4=10
this will be your demoninator.
there is 4 purple bows so that will be your numerator.
[tex] \frac{purple \: bows}{total \: number \: of \: bows} [/tex]
Probability can be answered as fraction, decimal and percentage..
Answer:
0.4 or 40%Step-by-step explanation:
Probability = favorable outcomes / total outcomes
Total number of bows:
5 + 1 + 4 = 10Number of purple bows:
4Probability of choosing a purple bow:
4/10 = 0.4 or 40%Factor by grouping
3x^2 + 11 - 14
plss i need help!
Answers
Answer:
3x^{2}+11-14 hi
Step-by-step explanation:
Answer:
3(x²-1)
Step-by-step explanation:
=3x²-3
=3(x²-1)
I will give brainliest Given ⊙N, what is mABC ?
A circle with center point N and three points A, B, C on its circumference. A line is drawn connecting the points A, N and C and the angle ANC is given as 138 degree.
A. 111°
B. 138°
C. 222°
D. 276°
Answers
9514 1404 393
Answer:
138°
Step-by-step explanation:
The measure of arc ABC is the measure of the corresponding central angle, ∠ANC. That angle is shown as 138°, so the measure of arc ABC is 138°.
Measure of an angle ABC is 111 degrees i.e. [tex]m[/tex]∠ABC = 111 degrees.
Angle subtended by an Arc of a circle-Theorem
The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at the circumference of the circle.
According to the given question
The angle subtended at the center of circle, i.e. ∠ANC = 138 degrees.
The exterior angle at the center is (360 - 138)degrees = 222 degrees
by angle subtended by an Arc of a circle theorem
[tex]m[/tex]∠ABC = [tex]\frac{222}{2}[/tex] [tex]= 111 degrees[/tex]
Hence, [tex]m[/tex]∠ABC = 111 degrees.
Learn more about angle subtended at the center of circle theorem here:
https://brainly.com/question/2506683
#SPJ2
Spencer was able to drive his car 420 miles on 12 gallons of gas. At this rate, how many miles could he drive on 15 gallons of gas.
Answers
Answer:
525 miles
Step-by-step explanation:
420/12=35
35x15=525
62x+4=33x×2x+8 please solve it
Answers
Write the word sentence as an inequality. Then solve the inequality.
Six times a number x is at least −24.
Answers
Answer:
x≥-4
Like this I believe
Step-by-step explanation:
6x ≥ -24
-24/6
-4
x≥-4
Evaluate: C(14, 10)
no pic just answer it
Answers
Given:
The combination C(14,10).
To find:
The value of the given combination.
Solution:
We know that,
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
Using this formula, we get
[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]
[tex]C(14,10)=7\times 13\times 11[/tex]
[tex]C(14,10)=1001[/tex]
Therefore, the value of C(14,10) is 1001 and the correct option is B.
The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".
Equivalent expression:using formula:
[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]
putting the given value into the above formula:
[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]
[tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]
Therefore, the final answer is "1001".
Find out more information on the equivalent here:
brainly.com/question/17733453
Help me with this pls
Answers
5. Rizza bought 24 face masks for Php172.80 and sold them for Php10.00 each. How much profit did she get? A. Php 62.50 B. Php67.20 C. Php40.00 D. Php67.50
Answers
Answer: Rizza got a profit of Php 67.20---B
Step-by-step explanation:
Profit = Selling Price - Cost Price
But
Selling price =Php10.00 x 24=240Php
Cost Price =Php172.80
Therefore,
Profit=Php240 -Php172.80
=Php 67.20