Answers
Answer:
[tex]\frac{23x+3}{20(x+1)}[/tex]
Step-by-step explanation:
Separate the fractions into a more readable format.
Factorise the denominators of all the fractions where possible. For [tex]x^2-1[/tex] apply DOTS ==> Difference of two squares*
Simplify the fractions.
I wrote out my working so I hope that helps :>>
*Difference of two squares is a method of factorising the sum of two squares, where one of them is negative. [tex]a^2-b^2 = (a-b)(a+b)[/tex]
Related Questions
What is the solution to the equation?
x/7 +8 = 4
Enter your answer in the box.
x=
PLEASE ANSWER NOW
Answers
Answer:-28
Step-by-step explanation:
A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in total?
Answers
Answer:
she has 90 feet of ribbon in total and she can cut 270 pieces
Step-by-step explanation:
there's 108 inches in 9 feet
108/4=27
now you have 10 rolls so multiply
27x10=270 ribbons
you have 10 rolls of 9 feet to make ribbons
10x9=90 feet
Answer:
1080 inches
Step-by-step explanation:
Find the slope of the line. Write your answer in simplest form.
Answers
HELP PLEASE I NEED ANSWER ASAP!
Answers
Answer:
86+18[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Use the properties of 45-45-90 triangles to get a side length of 18 for the 2 legs of the isosceles triangle. Then add 43+18, which is the shorter length of the rectangle, +25, which is the longer edge, +18[tex]\sqrt{2}[/tex]. The answer is now 86+18[tex]\sqrt{2}[/tex].
Answer:
111.4556
Step-by-step explanation:
Perimeter = 18 + 25 + 18√2 + 43
Perimeter = 86 + 18√2
Perimeter = 86 + 18(1.4142)
Perimeter = 86 + 25.4556
Perimeter = 111.4556
Pls will mark brainliest if right!
Determine if the conditions stated would result in a unique quadrilateral?
A. a trapezoid with three 12-yd sides (yes or no)
B. a rhombus with a perimeter of 36 ft. and one right angle (yes or no)
C. a quadrilateral with four 9-ft. sides and two acute angles (yes or no)
D. a rectangle with a length that is 5-inch. less than width
C. a parallelogram with a right angle, two 7-mm and two 8-mm sides
Answers
Answer:
A) no
B) yes
C) no
D) yes
E) yes
Step-by-step explanation:
Find the gradient of the line segment between the points (-6,2) and (4,3).
Give your answer in its simplest form.
Answers
Gradient = 0.1
Step-by-step explanation:
ΔX = 4 – -6 = 10
ΔY = 3 – 2 = 1
Gradient = m = ΔY/ ΔX = 1/10 = 0.1
The gradient of a line segment is a measure of how steep the line is. A line with a large gradient will be steep; a line with a small gradient will be relatively shallow; and a line with zero gradient will be horizontal.
Find f^-1(x) where
f(x) = 3x+2/x
Answers
Given:
Consider the function is
[tex]f(x)=\dfrac{3x+2}{x}[/tex]
To find:
The inverse of the function, .i.e., [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=\dfrac{3x+2}{x}[/tex]
Putting f(x)=y, we get
[tex]x=\dfrac{3y+2}{y}[/tex]
Isolate the variable y.
[tex]xy=3y+2[/tex]
[tex]xy-3y=2[/tex]
[tex]y(x-3)=2[/tex]
[tex]y=\dfrac{2}{x-3}[/tex]
Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex]
Therefore, the inverse function is [tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex].
Simplify this expression.
–6w + (–8) + 1 + (–7w)
A. –w – 7
B. –13w – 7
C. w + 9
D. 13w + 9
Answers
Answer:
-13w-7
Step-by-step explanation:
-6w+(-8)+1+(-7w)
-6w-8+1-7w
-6w-7w-8+1
-13w-8+1
-13w-7
Answer:
B. -13w-7
Step-by-step explanation:
First, let's simplify the problem by grouping the like terms together: (-6w), (-7w), and (-8), (1).
Second, now that you know the like terms solve them each individually:
(-6w) + (-7w) = -13w
(-8) + 1 = -7
So your answer is -13w minus -7
Please help I’ll make you the brainiest
Answers
Answer:
X= 5, -2
Step-by-step explanation:
This would be the answer if you are looking to "solve"
Its not a quiz/test its homework thats due in a bit :)
Just to clear any misunderstandings that might arise
Answers
Answer:
it would be 53
Step-by-step explanation:
Krutika and Natasha win some money and share it in the ratio 4:3. Krutika gets £7 more than Natasha. How much did they get altogether?
Answers
Answer:
49
Step-by-step explanation:
The computation of the total amount is shown below:
Let us assume the natasha be 4x
And, the krutika be 3x
Now as per the situation
4x = 3x + £7
x = £7
For natasha = 4(7) = 28
For krutika = 3(7) = 21
So, the total amount is
= 28 + 21
= 49
Jackson has a gift card to Target for $25, he buys a $5 Lego toy each time he goes Write an equation to represent the money Jackson spends on his gin card. How much money will he have left after 3 trips to Target?
Answers
Answer:
x = every time he goes to target.
y = the amount he has left.
25 - 5x = y
After 3 trips, he will have 10 dollars left.
Step-by-step explanation:
25 - 5(3) = y
25 - 15 = 10
Answer:
10
Step-by-step explanation:
25 - 5, 20 - 5, 15 - 5 = 10
what is the area of the sidewalk
Answers
Answer: 105 square feet
Step-by-step explanation:
area is length x width 35 x 3 is 105
Find QR.
Q
6
560
R
S
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR =
Answers
Answer:
QR ≈ 5.0
Step-by-step explanation:
Using the sine ratio in the right triangle
sin56° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{QS}[/tex] = [tex]\frac{QR}{6}[/tex] ( multiply both sides by 6 )
6 × sin56° = QR , then
QR ≈ 5.0 ( to the nearest tenth )
Find the slope of (0,4), (-5,2)
Answers
Answer:
-4/5
Step-by-step explanation:
Which point is labeled at (-2, 3)?
Answers
Answer:
G
Step-by-step explanation:
if you glance at -2 and go up positive three
13 In 2010, Cool Game Corporation made a profit of $84.7 million.
The profit made in 2010 was 2.2 times the profit the company
made in 2009.
Answers
Find the measure of x.
5
2.x - 3
Answers
This is because you will do 5=2x-3
Then add 3 to 5
So 8=2x
Then divide 2 from 8
So 8/2=4
4=x
If we all draw a triangle using the same three side lengths, will we all draw exactly the same triangle?
Answers
I JUST WANT POINTS /\ /\
_
Francisco forgot to pay the $50 water bill. The company charges you a 14% fine. How much does Francis have to pay including the fine?
Answers
.14 x 50 = 7 , + the 50
Find the reference angle for a rotation of 320°.
Answers
Answer:
40°
Step-by-step explanation:
26: Solve For U
-4.2=u/5 + 8.3
Answers
Answer:
-62.5
Step-by-step explanation:
Answer:
-62.5
Step-by-step explanation:
How to solve.
(6.7 x 10^-16) - (8.2 x 10^-17
Answers
Answer:
5.9 × 10⁻¹⁶
Step-by-step explanation:
To solve this, you need to convert one of the two numbers to the same power of ten as the other. We can do that by multiplying the first number by 10:
6.7 × 10⁻¹⁶ - 8.2 × 10⁻¹⁷
= 67× 10⁻¹⁷ - 8.2 × 10⁻¹⁷
= (67 - 8.2) × 10⁻¹⁷
= 58.8 × 10⁻¹⁷
= 5.9 × 10⁻¹⁶
Note that we're rounding to the nearest tenth, as the original numbers given were as well.
PLEASE HELP PLEASEEEEE
Answers
Answer:
Answer:
5.46π cm³
Step-by-step explanation:
Volume of sphere= 4/3πr³
= 4/3×π×(1.6)³ cm³
=5.46π cm³
hope this helped you!
round 0.0564 correct to the 1 significant figure
Answers
Answer:
0.06
Step-by-step explanation:
If f(x) = x², then f(2 – 3i) equals
A. -5
B. -5 – 12i
C. 13 – 12i
D. 13
Answers
Answer:
A
Step-by-step explanation:
f(2 – 3i) = (2 – 3i)^2
f(2 – 3i) = (2)^2 + (-3i)^2
f(2 – 3i) = 4 + (9)(-1)
f(2 – 3i) = 4 - 9
f(2 – 3i) = -5
These are functions in another function. The result of the function f(2-3i) is -5-12i
Composite functionsThese are functions in another function. Given the function shown below;
f(x) = x²
In order to determine f(2 – 3i), you will replace as 2 - 3i to have:
f(2 - 3i) = (2 - 3i)²
Expand
f(2 - 3i) = 2² - 12i + 9i²
f(2 - 3i) =4 - 12i - 9
f(2 - 3i) = -5-12i
Hence the result of the function f(2-3i) is -5-12i
Learn more on composite function here: https://brainly.com/question/13502804
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y = 5x – 2
y = x + 6
What’s the Solutions
Answers
[2] y = x + 6
// Plug this in for variable y in equation [1]
[1] (x +6) - 5x = 2
[1] - 4x = -4
// Solve equation [1] for the variable x
[1] 4x = 4
[1] x = 1
// By now we know this much :
y = x+6
x = 1
// Use the x value to solve for y
y = (1)+6 = 7
Solution
{y,x} ={7,1}
Glen, Andre, and Ramón share the cost of renting a vacation cottage. The total cost is $960. Glen pays 30% of the total cost. Andre pays 0.45 of the total cost. Ramón pays the rest. How much does Ramón pay?
Answers
Answer:
Ramon pays $240.
Step-by-step explanation:
30% of $960 is $288, so Glen pays $288
0.45 = 45%
45% of $960 is $432, so Andre pays $432
30% + 45% = 75% meaning Ramon pays 100% - 75% which is 25%.
25% of $960 is $240. So, Ramon pays $240.
You could also add up the payments of Andre and Glen and subtract that sum from $960 to get the same answer.
geometry: pls help :(
Answers
CF=32
DF=28
this should be right:)
The area of a circle is 49π in². What is the circumference, in inches? Express your answer in terms of \piπ.
Answers
area of circle = π r²
π r²= 49 π
r²= 49 r= √49 r= 7
circumference of circle = 2 π r
= 2×7 × π
= 14 π
The circumference of a circle is 14π.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of πr.
The area of a circle is πr².
We have,
Area of a circle = 49π in².
Area of a circle = πr²
Now,
πr² = 49π
r² = 49
r = 7
Now,
Circumference of a circle.
= 2πr
= 2π x 7
= 14π
Thus,
The circumference of a circle is 14π.
Learn more about circle here:
https://brainly.com/question/11833983
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