Answers
Answer:
[tex]\textsf{B)} \quad \dfrac{x^2+3x-4}{2x-1}[/tex]
Step-by-step explanation:
Given rational expression:
[tex]\dfrac{\dfrac{x^2+2x-3}{x-4}}{\dfrac{2x^2+5x-3}{x^2-16}}[/tex]
[tex]\textsf{Factor}\;\;x^2+2x-3:[/tex]
[tex]\implies x^2+3x-x-3[/tex]
[tex]\implies x(x+3)-1(x+3)[/tex]
[tex]\implies (x-1)(x+3)[/tex]
[tex]\textsf{Factor}\;\;2x^2+5x-3:[/tex]
[tex]\implies 2x^2+6x-x-3[/tex]
[tex]\implies 2x(x+3)-1(x+3)[/tex]
[tex]\implies (2x-1)(x+3)[/tex]
[tex]\textsf{Factor}\;\;x^2-16:[/tex]
[tex]\implies x^2-4x+4x-16[/tex]
[tex]\implies x(x-4)+4(x-4)[/tex]
[tex]\implies (x+4)(x-4)[/tex]
Therefore:
[tex]\implies \dfrac{\dfrac{x^2+2x-3}{x-4}}{\dfrac{2x^2+5x-3}{x^2-16}}=\dfrac{\dfrac{(x-1)(x+3)}{x-4}}{\dfrac{(2x-1)(x+3)}{(x+4)(x-4)}}[/tex]
[tex]\textsf{Apply\:the\:fraction\:rule}:\quad \dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]\implies \dfrac{ (x-1)(x+3)(x+4)(x-4)}{(x-4)(2x-1)(x+3)}[/tex]
Cancel the common factors:
[tex]\implies \dfrac{ (x-1)(x+4)}{(2x-1)}[/tex]
Expand the numerator:
[tex]\implies \dfrac{x^2+3x-4}{2x-1}[/tex]
Related Questions
help????????????????????
Answers
Answer:
x=11
Step-by-step explanation:
12x+2 and 2x+112 are opposite exterior angles so they are congruent
Answer:
x=11
Step-by-step explanation:
12x + 2 and 2x + 112 are vertical angles meaning that they are equal to each other so we set up an equation that says 12x + 2 = 2x + 112 and solve for x
12x+2=2x+112
step one subtract 2 from each side
12x=2x+112
step 2 subtract 2x From each side
10x=110
step three divide each side by 10
x=11
At a certain store a half gallon jug of milk cost 2.95 and a gallon jug of milk costs 5.95. Which milk has cheaper price?
Answers
Answer:
The first milk
Step-by-step explanation:
2.95 × 2 = 5.90
The first milk has cheaper price.
Write the equation of the line that passes through the points (1,4) and (1,-3).
y = -7x+11
X=1
y = 7x - 3
Answers
if you try and find the gradient which is change in y/ change in x so 7/0 you get 0 (no gradient). And it can’t be y= 1 as the y values are 4 and -3
Whos HAPPYYYYY today
Answers
Answer:
meeeeeeeeeeee super happy
Help me PLEASE! I will give Brainliest to the first correct answer.
Jada’s dog was 5 and 1/2 inches tall when it was a puppy. Now her dog is 14 and 1/2 inches taller than that. How tall is Jada’s dog now?
Answers
Answer:
20 inches tall
Step-by-step explanation:
First, I did 1/2+1/2=1. Then, I did 5+14=19. So, 19+1=20.
PROBLEM SOLVING A math club is having a bake sale. Find the area of the bake sale sign
TT IS
SWEET!
412ft
Math Club Baka Ina this Saturday
729 ft
The area of the sign is square feet.
Answers
The area of the bake sale sign is 6 ft²
Area
Area is the amount of space occupied by a two dimensional object.
Rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.
The area of a rectangle = length * breadth
The area of the bake sale sign = length * breadth = [tex]\sqrt{4} *\sqrt[6]{729} = 6\ ft^2[/tex]
Find out more on Area at: https://brainly.com/question/25689052
-2(6) + 3(5 – 4· 2)
Answers
Answer:
-21
Step-by-step explanation:
Which properties justify the steps taken to solve the system? {2a+7b=03a−5b=31 10a+35b=0; 21a−35b=217 31a = 217 a = 7 2(7)+7b=0 14 + 7b = 0 7b=−14 b=−2 what are each of the steps taken?
Answers
9514 1404 393
Explanation:
2a+7b=0 . . . . . . . . given [eq1]
3a−5b=31 . . . . . . . .given [eq2]
10a+35b=0 . . . . . . multiplication property of equality 5×[eq1] = [eq3]
21a−35b=217 . . . . .multiplication property of equality 7×[eq2] = [eq4]
31a = 217 . . . . . . . . addition/substitution properties of equality [eq3]+[eq4]
a = 7 . . . . . . . . . . . . division property of equality (÷31)
2(7)+7b=0 . . . . . . . .substitution property of equality; a=7 in [eq1]
14 + 7b = 0 . . . . . . . properties of real numbers
7b=−14 . . . . . . . . . . addition property of equality; add -14
b=−2 . . . . . . . . . . . . division property of equality (÷7)
Find the equation of the line which passes through (0,8) and (1,12)
Answers
Answer:y =4x + 8
Step-by-step explanation:
X-0/0-1 = y-8/8-12
Or,-4x = -y +8
So, y-4x = 8
Select the correct answer.
Identify the vertex of the function graphed below.
A.
(0,-2)
B.
(3,1)
C.
(1,1)
D.
(2,2)
Answers
Answer:
I think the answer is B
Step-by-step explanation:
Answer:
think it d
Step-by-step explanation:
because when i pick (3,1) it was wrong so that why it think it D
What is the slope of the line that passes through these two points (15,20) and (20,25)
Answers
Answer:
The slope Is 1.
Step-by-step explanation:
If you graph the two points it shows that the graph is done.
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (15, 20) and (x₂, y₂ ) = (20, 25)
m = [tex]\frac{25-20}{20-15}[/tex] = [tex]\frac{5}{5}[/tex] = 1
The six sided of number cube are labeled 1,2,3,4,5 and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on heads and roll a number greater than 2?
Answers
heads = 1/2
>2 = 2/3
2/3 x 1/2 = 1/3
Answer:
1 / 3Find the value of x in the following figure.
Answers
Answer:
x = 8
Step-by-step explanation:
180-(89+57)= 180-146 = 34
(5x -6) = 34
5x = 34 + 6
5x = 40
x = 40 ÷ 5
x = 8
Here is an inequality: -x > 18. List some values for x that would make this inequality true.
Answers
Answer:
some examples x could equal:
x = -19
x = -20
x = -50
x = -100
so on
Step-by-step explanation:
remember negative x negative = positive
so any negative value beneath -18 will satisfy this because it will turn positive when multiplied by that outer minus sign.
hope this helped
Simplify.
6⁴
౼
6²
simplify that
Answers
Step by step: when the coefficient of the power is the same number, it has different rules so for division it’s just subtracting the powers which are 4-2
Answer:
6⁴/4²
Since, a^m/a^n = a^m-n
→ 6^4-2
→ 6^2
→ 6*6 = 36 Ans.
Can someone solve this for me?
2x + 7y = 4
( u have to put it in y = mx + b)
* but when i divide i get y = -2/7x + 4/7
is the 4/7 correct?
like r u allowed to have two fractions?
Answers
Answer:
I think that is correct because I got the same answer
what is 40% of 10? PLZ HELP ASAP
Answers
Answer:
4
Step-by-step explanation:
10 * 40%
10 * 0.4 = 4
Answer:
Hi! 40% of 10=4
Step-by-step explanation:
Hope this helps! :)
Have a nice day! ♥
A square cake sits on a circular cake stand. The circular cake stand has a diameter of 24 inches. The cake measures 16 inches on each side. How many square inches of the cake stand are visible?
Answers
Answer:
196.12 in^2
Step-by-step explanation:
circular cake stand area=(24/2)^2(3.14)=452.12 in^2
square cake=16x16=256 in^2
452.12-256=196.12 in^2
Help If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
16 ⋅ 3
16 ⋅ 16 ⋅ 16
163
316
Answers
Answer: I believe the answer is 6.3 I will research more and get a definite answer just dam me for the answer!
Step-by-step explanation:
:)
Número de departamento vendidos en un edificio cualitativa o cuantitativa.
Answers
Answer:The nucleus / large central vacuole contains
genetic material of a eukaryotic cell.
Step-by-step explanation:The nucleus / large central vacuole contains
WILL GIVE BRAINLIEST!!!!!!!
2(x+1)^2=12
Answers
Answer:
Step-by-step explanation:
Giselle's as a wallet containing four $5 bills, five $10 bills and three $20 bills. She pulls out two bills, one at a time without the first bill being returned to the wallet. Find the probability that both bills that she pulls out will be $5 bills.
Answers
Answer:
the answer is 4/12
Step-by-step explanation:
Can someone help me on this is for today pls!!!
Answers
Answer:
C
Step-by-step explanation:
The answer must be in square inches, not inches, so a and b are automatically wrong.
Couple of ways of doing it - the large triangles are congruent, so the area of each is the same. Since the area of a triangle is 1/2 base times height, the area of the 2 large triangles is just base times height, which is 18 * 11 or 198
Same principle for the smaller triangles at the top, area is 8 times 11, or 88. Add them up, you get 286 sq inches.
Every time Kristina bakes a batch of brownies, she uses 1/8
a cup of chocolate. If she has 3/4
cup(s) of chocolate remaining, how many batches of brownies can Kristina make?
Answers
Answer:
6 batches
Step-by-step explanation:
3/4 divided by 1/8 = 6/8 divided by 1/8 = 6 batches
3x2/4x2 = 6/8. 3/4 = 6/8
Kristina can make 6 batches of brownies
Find the midpoint of the line segment from (4,5) to (-4,4)
Answers
9514 1404 393
Answer:
(0, 4.5)
Step-by-step explanation:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
((4, 5) +(-4, 4))/2 = (4-4, 5+4)/2 = (0, 9)/2 = (0, 4.5)\
The midpoint is (0, 4.5).
Solve each inequality for the variable. Show your work. 3x-7>4x+2
Answers
Step-by-step explanation:
3x-4x>2+7
-x>9
x>-9
Plz mark me as a brainlist
pls help me plssssss
Answers
Answer:
1
Step-by-step explanation:
It's the correct spelling.
The question is in the picture
Answers
Answer:
(8, - 7)
Step-by-step explanation:
Since, (8, 7) is reflecting over x-axis, so after reflection, x- coordinate will remain same and y-coordinate changes from 7 to -7.
Therefore,
[tex] J(8,\: 7) \rightarrow J'(8,\: - 7)[/tex]
Answer:
-8,7 is the ans of the question
y=3x+−7
Find the slope.
A. 7
B. -7
C. 3x
D. 3
Answers
Answer:
D.3
Step-by-step explanation:
In the equation for a line in the form y=mx+c, m represents the slope.
Therefore the slope is 3.
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + - 7 ← is in slope- intercept form
with slope m = 3
There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?
Answers
Answer:
262,144
Step-by-step explanation:
2^0 = 1
(2^6)^3 = 2^18 = 262,144
Answer: 262,144.
Step-by-step explanation: (26)3(20)
=(643)(20)
=262144(20)
=(262144)(1)
=262144