Step-by-step explanation:
Let y be 1/x. Then 2y = 2/x.
We wish to simplify (1 + y)(2 - 2y)(2y).
(1 + y)(2 - 2y)(2y)
= 4y(1 + y)(1 - y)
= 4y(1 - y²)
= 4y - y³
= 4/x - 1/x³.
P.S. Writing it as (4x² - 1)/x³ is fine.
What is 1.75 kilometres as a fraction of 700 metres?
Give your answer in its simplest form
Answer:
5/2
Step-by-step explanation:
1km=1000m
1.75 x 1000=1750
1750/700 = 5/2
Mr. Marquez discovered that 18 of his 24 students enjoy reading in their spare time. What percent of his students enjoy reading in their spare time?
Answer:
75%
Step-by-step explanation:
Use 'Percent(age) Composition'
1. (18/24) = 0.75 This shows that 0.75/1 students reads during their free time.
2. 0.75 x (100) = 75% This step is to allow the value we received above to be displayed as a percentage.
75% of students enjoy reading in their spare time.
Learning Task 1: Solve for n. Write your answer in your notebook.
1. 7.26 x 0.22 = n
2. 17.92 x 0.64 = n
3. 7.65 x 0.85 = n
4. 36.20 x 0.05 = n
5. 31.85 x 0.91 = n
Answer:
1.5972
11.4688
6.5025
1.81
28.9835
Step-by-step explanation:
yan po hehe
Solve for j 8 - 4j = -8j
Answer:
J = -2
Step-by-step explanation:
You must isolate the variable by dividing each side by factors that dont contain the variable.
So J would equal -2
What is the equation, in slope-intercept form, of the line parallel to -5x + y = 2 that passes through the point with coordinates (-2, 1)?
Answer:
y = 5x + 11
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 )
Given
- 5x + y = 2 ( add 5x to both sides )
y = 5x + 2 ← in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, then
y = 5x + c ← is the partial equation
To find c substitute (- 2, 1) into the partial equation
1 = - 10 + c ⇒ c = 1 + 10 = 11
y = 5x + 11 ← equation of parallel line
PLEASE HURRY WILL GIVE BRAINLIST
Answer:
87
Step-by-step explanation:
What is the graph of the function f(x) = the quantity of x squared minus 7 x plus 12, all over x minus 3? (1 point)
Answer:
Step-by-step explanation:
Hyhh
Find the measure of interior angle C of hexagon OCEANS in which the
measure of the interior angles are:
O: 3x + 15, C: 2x + 30, E: 5x + 10, A: 2x + 55, N: 2x + 60, and S: x - 35.
Answer:
The measure of the interior angle C is [tex]108^{o}[/tex].
Step-by-step explanation:
Sum of angles in a polygon = (n - 2) x 180
where n is the number of sides of the polygon.
For a hexagon, n = 6. So that;
Sum of angles in a hexagon = (6 - 2) x 180
= 4 x 180
= [tex]720^{o}[/tex]
Sum of angles in a hexagon = [tex]720^{o}[/tex]
⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = [tex]720^{o}[/tex]
15x + 135 = [tex]720^{o}[/tex]
15x = [tex]720^{o}[/tex] - 135
15x = 585
x = [tex]\frac{585}{15}[/tex]
= [tex]39^{o}[/tex]
But,
C = 2x + 30
= 2(39) + 30
= 78 + 30
= [tex]108^{o}[/tex]
The measure of the interior angle C is [tex]108^{o}[/tex].
4x-y=3 how can I solve this
what is the value of y for -3x+2y=-10
Answer:
[tex]x=3.33333\\y=-5[/tex]
CAN U GIMME BRAIN PLZ!Can someone help me solve this Y=5/2x-1
Answer:
m= 5/2
Step-by-step explanation:
what is an equation of the line that passes through (0,8) and (4.0)?
A y= 2x+8
B y= 2x+4
C y=-2x+4
D y=-2 x+8
Answer:
Step-by-step explanation:
Is y= -x a linear equation
Answer:
yes
Step-by-step explanation:
Rover A: y= 1.3x - 4
Rover B: 3y = 3.9x - 12
What conclusion can you make about the system of equations?
A. The system has exactly one solution.
B. The system has infinitely many solutions.
C. The system has no solution.
Answer:
I think it is A
Step-by-step explanation:
because there is only 1 slope which is 3 and the y intercept is 4
I need help on knowing whether this is a solvable equation. Along with reasons why. HELP IF YOU CAN :))
To check if x = 9 is the solution, we need to replace every x with 9 and simplify
(3+x)/4 = 3
(3+9)/4 = 3
12/4 = 3
3 = 3
We get the same thing on both sides, so the last equation is a true equation. This means that the first equation is a true equation when x = 9. Therefore, the solution x = 9 is confirmed.
Miranda is buying a pair of shoes that are on sale for 60% of the original
price. After she uses a $25 gift certificate, the total cost before taxes is
$68. What is the original price of the shoes?
Answer:
$168
Step-by-step explanation:
Hope this helps and have a great day!!!!
can someone help me please
Answer:
39 yards.
Step-by-step explanation:
52 squared plus B squared equals 65 squared
Anna invented a robot. The robot's name is David. David can go a maximum speed of 4 mph. At that rate, how long would it take David to go 9 miles?
Answer:
At maximum speed the robot can travel 9 miles in 2hrs and 15 min
Step-by-step explanation:
GEOMETRY!!!! pls help (also pls explain)
To answer this question, you need trigonometry.
Are you familiar with the chant soh cah toa?
In here, you can see that the side you have is adjacent to the angle you have, and you're trying to find the opposite side. This means you need tangent = opposite ÷ adjacent
If the angle was 30° 45° or 60° Then there is a table you can use to calculate, but there isn't so just use a calculator
tan 31° = x ÷ 10
What is the volume of the rectangular prism shown below?
12 in
3 in
9 in
Formula List: Link
24 inches cubed
324 inches cubed
162 inches cubed
104 inches cubed
There are 220 students in year 9.
There are 20% more boys then girls.
a) How many boys are there in year 9
b) How many girls there in year 9
Which is true of the models? Check all that apply.
Answer:
what models
Step-by-step explanation:
69 points and Brainliest answer!!!
Answer:
220%
Step-by-step explanation:
PLEASE HELP?
let g be the function given by g (x) = 3x^4 - 8x^3. At what value of x on the closed interval [ -2,2 ] does g have an absolute maximum
Answer:
When we have a function g(x)
We will have a maximum at x when:
g'(x) = 0
g''(x) < 0.
Now we start with:
g(x) = 3*x^4 - 8*x^3
The first derivation is:
g'(x) = 4*3*x^3 - 3*8*x^2
g'(x) = 12*x^3 - 24*x^2
We can rewrite this as:
g'(x) = x^2*(12*x - 24)
Now we want to solve:
g'(x) = 0 = x^2*(12*x - 24)
We have one trivial solution, that is when x = 0.
The other solution will be when the term inside of the parentheses is equal to zero.
Then we need to solve:
12*x - 24 = 0
12*x = 24
x = 24/12 = 2
Then g'(x) is equal to zero for x = 0, and x = 2.
Notice that both of these points are included in the interval [ -2,2 ]
Now we need to look at the second derivative of g(x):
g''(x) = 3*12*x^2 - 2*24*x
g''(x) = 36*x^2 - 48*x
Ok, now we need to evaluate this in the two roots we found before:
if x = 0:
g''(0) = 36*0^2 - 48*0 = 0
g''(0) = 0
Then we do not have a maximum at x = 0, this is a point of inflection.
if x = 2:
g''(2) = 36*(2^2) - 48*2 = 48
then:
g''(2) > 0
This is an absolute minimum.
Now let's look only at the interval [ -2,2 ]
We know that:
g''(0) = 0
g''(2) > 0
Then at some point, we should have g''(x) < 0 in our interval.
We need to find the first point such that happens, so let's try with the lower limit of the interval but with the first derivation, if g'(x) < 0, this means that the function is decreasing from that point on, then that point will be a maximum in our interval.
x = -2
g'(-2) = (-2)^2*(12*-2 - 24) = -192
And if we look at the function:
g'(x) = x^2*(12*x - 24)
We can easily see that it is negative unitl x = 0, and then it keeps being negative until x = 2.
So in the interval [ -2,2 ], the function g'(x) is always negative or zero, this means that in the interval [ -2,2 ], the function g(x) is always decreasing or constant.
Then the absolute maximum of g(x) in the interval [ -2,2 ] will be x = -2
this means that:
g(-2) ≥ g(x) for all x ∈ [ -2,2 ]
A fish is 12 meters below the surface of the ocean. Its elevation is -12m. A sea bird is 28 meters above the surface of the ocean. Its elevation is 28m. If the bird is directly above the fish, how far apart are they?
Answer:
40
Step-by-step explanation:
28+12= 40
if my answer helps please mark as brianliest.
Can someone help me understand where the positive 2 came from?
Answer:
4(-2)-(0)-2(-1)
a negative number multiplied by a negative number will always equal a positive number as the two negatives cancel each other out.
-2 multiplied by -1 equals positive 2
this is why the 2 is positive.
An object is traveling at a steady speed of 9 9/10 km/per hour about how long will it take the object to travel 5/1/10 km/per hour.
Answer:
0.52 km
Step-by-step explanation:
We are given that
Speed of object, v=[tex]9\frac{9}{10}km/h[/tex]
Speed of object, v=[tex]9+0.9=9.9km/h[/tex]
Distance travel by object, s=[tex]5\frac{1}{10}km[/tex]
Distance travel by object, s=[tex]5+0.1=5.1km[/tex]
We have to find the time taken by object to travel 5 1/10 km.
We know that
[tex]Time=\frac{Distance}{speed}[/tex]
Using the formula
Time taken by object to travel 5.1 km =[tex]\frac{5.1}{9.9} hr[/tex]
Time taken by object to travel 5.1 km=0.52 hr
Write the percent as a fraction in simplest form and as a decimal: (two answers) 20% of the books
7.5 meal; 6.5% tax
PLS HELP ME!!!!!!
Answer:
$7.99
Step-by-step explanation:
6.5% of 7.5 = 0.4875
7.5 + 0.4875 = 7.9875 or about 7.99
Can someone help me with this question please