Answers
The answer for the first question is A
The answer the second question is D
Step-by-step explanation:
so, let's look at the options.
A. (x+3)/x = 3
that hurts already by just looking at it.
but let's check anyway :
x + 3 = 3x
3 = 2x
and that is only true for one value of x (3/2), but not in general.
so, this is wrong.
B. (x²+5)/5 = x² + 1
x² + 5 = 5x² + 5
x² = 5x²
that is only true for one value of x (0), but not in general.
so, this is wrong.
C. (2x+7)/(2x+9) = 7/9
9(2x+7) = 7(2x+9)
18x + 63 = 14x + 63
4x = 0
that is only true for one value of x (0), but not in general.
so, this is wrong.
D. (-5x - 10)/(x+2) = -5
-5x - 10 = -5(x + 2) = -5x - 10
now this is true in all cases, so this is correct.
make simple :
(a² - 4a + 4) / (a² - 4)
with a little bit of experience you see right away that
a² - 4a + 4 = (a - 2)²
as we know from the generic squaring
(a - b)² = a² - 2ab + b² : a perfect fit.
and
(a² - 4) = (a + 2)(a - 2)
as we know from the generic factor multiplying
(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.
so, the given expression is actually
(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))
and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :
(a - 2) / (a + 2)
and that is answer A
Related Questions
1) Round 26.728 to the nearest integer
What
Answers
100 students are interviewed to see which of biology, chemistry or physics they prefer.
41 of the students are girls. 32 of the girls like biology best.
24 of the boys prefer physics.
6 out of the 25 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answers
Answer:
48% of students prefer biology
Step-by-step explanation:
What is the total mass if 120% of the mass is 720 kg?
Answers
Answer: 600
Step-by-step explanation:
Let the mass as x.
So,
120% of x = 720
» 120 x/100 = 720
» 6 x / 5 = 720
x = 720×5 / 6
= 120 ×5 = 600 Ans.
helpfully...
brainliest.
Answer:
= 120 ×5 = 600 Ans.
Step-by-step explanation:
Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £
Answers
Answer:
£5.20
Step-by-step explanation:
The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.
change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20
Erin gets £5.20 in change.
Mary bought 176 flowers for 4 vases. How many flowers are needed for 7 vases?
Answers
She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.
As a fundraiser, a club is selling posters. The printer charges a $15 set-up fee, plus $0.85 for each poster. The cost y in dollars to print x posters is given by y = 0.85x +15.
(a) What is the cost y in dollars to print 30 posters? To print 100 posters?
(b) Find the number of posters x if the printer billed the club for costs of $185.
(c) Write the information from parts (a) and (b) as three ordered pairs.
(d) Use the data from part (c) to graph the equation.
(a) The cost y to print 30 posters is $___ and to print 100 posters is $___.
Answers
Answer:
See below for answer
Step-by-step explanation:
A. y = 0.85x + 15 when x = 30
y = 0.85(30) + 15
y = 40.5
y = 0.85x + 15 when x = 100
y = 0.85(100) +15
y = 100
B. y = 0.85x + 15 when y = 185
185 = 0.85x + 15
185 - 15 = 0.85x
170 = 0.85x
170/0.85 = x
200 = x
C (30, 40.5)
(100, 100)
(200, 185)
Which component is missing from the researcher’s process?
A.
B.
C.
D.
Answers
Answer:
It is B I believe, if not it's you're fault for not putting the choices...
A plane traveling to new york has 100 seats on board. if there are p passengers on the plane, which expression represents the number of empty seats there are on the plane
Answers
Hi math freindAnswer:
Step-by-step explanation:
Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy?
Enter a unit that best describes the number.
Number 24. unit {uh plz help with this part if u can }
Answers
Answer:
6.25 is the exact number, but you should round it to 6
Step-by-step explanation:
150/24=6.25.
It also equals 6 if you round it.
Please help me
RIGHT ANSWERS ONLY
Answers
Answer:
90 adults
Step-by-step explanation:
Let's make this an equation
We can add 5+3 giving us 8
Let's make it 8x=144
Solve for x
Divide 8x by 8 = 1x
144 ÷ 8 = 18
Now since we're looking for the adults we multiply by 5
18*5=90 adults
Jamie and Raul both work at the Pizza House. Together, they work a total of 15 hours per week. Raul works 3 more than twice the hours as Jamie. How many hours does Jamie work per week?
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
List the facts phrase by phrase.
Total = 15 hours
Let Raul's hours = x
Let Jamie's hours = y
Total = x + y = 15
x = 3 + 2y
From total, find x
x+ y = 15 Subtract y from both sides.
x = 15 - y Put the value for x in x = 3+ 2y
3 + 2y = 15 - y Subtract 3 from both sides
2y = 15 - 3-y Combine
2y = 12 - y Add y to both sides.
2y + y = 12 Combine
3y = 12
y = 12 / 3
y = 4
Jamie worked 4 hours
Raul worked 11
What is the product of 2x + y and 5x - y + 3?
Answers
answer: 10x² - y² + 3xy + 6x + 3y
Calculator
15
What is the value of x?
9
3x
B
Enter your answer in the box
2x-1
X =
Answers
Answer:
the answer is -2
Step-by-step explanation:
-2........
PLZZZZ HELPPPP MEEEEEE
Answers
Answer:
13
Hope this helps, have a nice day/night! :D
If it helped, please mark as brainliest!
What is a^2 - 5b + the square root of c if
A= -3
B= 6
C= 16
Answers
Answer:
-21
Step-by-step explanation:
Which of these are prime numbers 5,6,9,13,18
Answers
Answer:
5 and 13
Step-by-step explanation:
Answer:
13
is the answer
Hope it help u
Helppp!! I cant get this wrong lol
Answers
Answer:
x = 2
y = -7
Step-by-step explanation:
First, we see that all the terms in the first equation can be divided by 7:
-x + y = - 9
Then we solve for x by adding adding x and 9 to both sides:
-x + x + y + 9 = -9 + 9 + x
it cancels out to:
y + 9 = x
Now, replace x in the second equation with (y + 9):
28(y + 9) - y = 63
Now simplify:
28(y) + 28(9) - y = 63
27y + 252 = 63
27y = 63 - 252
27y = -189
y = -7
Plug in the value for y in the equation for x:
y + 9 = x
-7 + 9 = x
x = 2
Answer:
-7x +7y = -63(i)
28x -y = 63 (ii)
Divide eq(i) by 7
-x + y = -9 (iii)
28x -y= 63 (ii)
Add (iii) and ii
-x + y = -9
28x - y = 63
------------------------
-x +28x +0 = -9 +63
27x = 54
●x = 2
Put x=2 in any eq..
Lets put in eq[i]
-7 (2) + 7y =-63
-14 + 7y = -63
7y = -63 +14
7y=49
●y=7
BRAINLIST PLS
What is the greatest common factor of 50, 15, and 10?
Answers
Answer:
5
Step-by-step explanation:
you would need to factor each of the number and they are all in the 5 times table
Answer:
GCF = 5
Step-by-step explanation:
Reason being that all are divisible my 5 and 10 cannot be used because it makes a fraction which is not how the GCF can be found.
Math:
50 = 5 * 10 or 25 * 2 or 50 * 1
15 = 5 *3 or 15* 1
10 = 5 * 2 or 10 * 1
Only thing that is the same is 5, thus 5 is the GCF.
Which statement is a true conditional with a converse that is also true?
If an angle measures more than 90 degrees, then the angle is obtuse.
If x = 4, then x2 = 16.
If a figure is a square, then it is a quadrilateral.
If two angles are complementary, then the angles have a sum of 180 degrees.
Answers
That is true
6) Bill is three times older than Kevin. He is also 28 years older than Kevin. How old are they?
Answers
Answer:
If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.
Step-by-step explanation:
Bill is 42, while Kevin is 14 years old
Represent Bill's age with B, and Kevin's age with K.
So, we have the following equations
B = 3K and B = 28 + K
Substitute 3K for B in the second equation
[tex]3K = 28 + K[/tex]
Collect like terms
[tex]-K + 3K = 28[/tex]
[tex]2K = 28[/tex]
Divide both sides by 2
[tex]K = 14[/tex]
Substitute 14 for K in the first equation
[tex]B =3 \times 14[/tex]
[tex]B =42[/tex]
Hence, Bill is 42, while Kevin is 14 years old
Read more about equations at:
https://brainly.com/question/2972832
help help help help Please
Answers
Answer:
It rises -4 and runs 6
Step-by-step explanation:
So the slope is -4/6
The question is the img. Please answer both if u can
Answers
Problem 1
x = number of weeks
y = amount left on gift card (in dollars)
He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100
The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.
Answer: y = -4.99x + 100=======================================================
Problem 2
The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.
We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier
y = -4.99x + 100
y = -4.99*4 + 100
y = -19.96 + 100
y = 80.04
After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.
Check out the diagram below.The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.
WIlL GIVE BRAINLIEST!!!
Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.
Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.
Answers
The expressions that can be used to derive the quadratic inequality for the
situation are;
Cost: 10 + xCustomers: 16 - 2·xReasons:
The parameters of the restaurant are;
The charge per buffet = $10
Number of customers that choose the buffet every hour = 16 customers
For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.
The required minimum revenue per hour = $130
Required:
The situation is to be modelled as a quadratic inequality.
Two expressions for the situation, one for the cost and one for the
customers.
Assumption: x = The number of $1 increases in the cost of the buffet
Solution:
The expressions are;
The cost of the buffet for an increase in x dollars is; Cost = 10 + xThe expression for the customers when the cost increases by x amount is; Customer = 16 - 2·xWhich gives;
Cost × Customers = Revenue
The inequality that models the situation is therefore;
(10 + x) × (16 - 2·x) ≥ 130
Which gives;
160 - 20·x + 16·x - 2·x² ≥ 130
160 - 4·x - 2·x² ≥ 130
Learn more about inequalities here:
https://brainly.com/question/10081223
Answer:
Cost: 10 + x
Customers: 16 - 2·x
Step-by-step explanation:
I got it right. Hope this helps.
Select all of the given points in the coordinate plane that lie on the graph of the linear equation $$.
Answers
4y-10+3.14=180
value of y
Answers
Answer:
The value of y is 46.715
Step-by-step explanation:
4y-10+3.14 = 180
4y = 180 + 10 - 3.14
4y = 186.86
4y ÷ 4 = 186.86 ÷ 4
y = 46.715
Explain why the square root of a number or variable can be either positive or negative.
Answers
Answer:
Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.
Step-by-step explanation:
a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.
Answer/Step-by-step explanation:
The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.
Use matrices to rotate the vector v=<-4 , 1> by 270°. Write the resulting vector in component form
Answers
Using rotation rules, it is found that the resulting vector is:
v = <1, 4>
When a vector in component form <x,y> is rotated by 270 degrees, the rule is:
<x, y> -> <y, -x>
That is, x and y are switched, and the signal of x changes.
In this problem, the vector is v <-4, 1>, hence:
<-4, 1> -> <1, -(-4)> -> <1,4>
Hence, <1,4> is the resulting vector.
A similar problem is given at https://brainly.com/question/12673036
Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)
Place the correct coefficients in the difference.
x2y3 +
xy2 +
y
Answers
Answer:
final answer: 58xy
Step-by-step explanation:
24xy + 4xy - 2y + 42xy - 12xy + 2y
(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)
(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy
58xy + ( - 2 + 2)xy
58xy + 0y
58xy
Answer:
1st one is 11
2nd one is -4
3rd one is 0
Step-by-step explanation:
no need
you can trust me :)
Simplify: (13/11)x(-14/5)+(13/11)x(-7/5)+(-13/11)x(34/5)
Thankyou
Answers
Answer:
In this I have answered this problem.
Turn into a equivalent form 6x²+13x+5
Answers
Answer:
Assuming the questions wants another form of 6x²+13x+5:
(2x+1)(3x+5) would work.
Step-by-step explanation:
Multiply (2x+1)(3x+5) and you'll get 6x^2+13x+5