Answer:
x= 120°
Step-by-step explanation:
cos(2x)-cos(x)=0
[tex]\Rightarrow 2\cos^2x-\cosx-1=[/tex]0 [as [tex]\cos(2x)=2\cos^2x-1[/tex]]
[tex]\Rightarrow 2\cos^2x-2\cosx +\cosx-1=0[/tex]
[tex]\Rightarrow 2\cos x(\cos x-1) +(\cos x-1)=0[/tex]
[tex]\Rightarrow (\cos x-1)(2\cos x +1)=0[/tex]
[tex]\Rightarrow \cos x-1=0 \;or\; 2\cos x +1=0[/tex]
[tex]\Rightarrow \cos x=1 \;or\; \cos x =-1/2[/tex]
[tex]\Rightarrow x=\cos^{-1}1 \;or\; x =\cos(-1/2)[/tex]
For [tex]x=\cos^{-1}1[/tex] and 0° < x <180°
There is no possible value of x.
For [tex]x =\cos(-1/2)[/tex] and 0° < x <180°
The possible value of x is
x= 120°
Answer:
C/ 0 or 120
Step-by-step explanation:
edge 2020
Can I please get help with this?
Answer:
first problem) he messed up at 4(1 + 5n), only multiplying the 1 by 4, instead of both the 1 and 5n,
work-
-8n + 4(1 + 5n) = -6n - 14
-8n + 4 + 20n = -6n -14
12n + 4 = -6n - 14
18n +4 = -14
18n = -18
n= -1
second problem) he messed up towards the end, where he put 3x = 3x, then x=0. in this case, x would equal x, so the answer is "infinitely many solutions"
all the other work is correct in that problem
third problem) on the right side of the equation, ( 4x+10+3x-6), when they were adding the like numbers, instead of subtracting 6 from 10, they added 6, giving them 16 instead of 4
correct work-
2x - 8 + 3x +2 = 4x +10 + 3x -6
5x - 6 = 7x + 4
-5x -5x
-6 = 2x +4
-4 -4
-10 = 2x
-5 = x
hope i helped :)
50 points!!!!!!!
Write an equation to represent the sum modeled in the following number line.
Answer:1 and 1/3
Step-by-step explanation:
whats the definition of a flow chart proof?
A flowchart proof is a visual representation of logical steps used to prove a mathematical statement or theorem.
It involves breaking down the proof into a series of connected statements and reasons, organized in a flowchart format.
Each statement is supported by a reason or justification, demonstrating the logical progression of the proof. Flowchart proofs provide a clear and structured way to present mathematical arguments, allowing for easy comprehension and verification of the proof's validity.
They help in identifying key steps, dependencies, and the overall structure of the proof, making it easier to follow and understand the reasoning behind mathematical statements.
Learn more about flowchart here
https://brainly.com/question/34362549
#SPJ6
PLEASE IF YOU CAN HELP ME!!
Answer: y=-1/4x+3
Step-by-step explanation:
==================================================
Explanation:
y = mx+b is the general form of slope intercept equations
m is the slope, b is the y intercept
The y intercept is where the graph crosses the y axis. In this case it is at (0,3) so b = 3 is the y intercept
--------------------
The slope can be found through using the slope formula
m = (y2-y1)/(x2-x1)
m = (2-3)/(4-0)
m = -1/4
Or you could note that to go from (0,3) to (4,2) we must go down 1 and over to the right 4.
slope = -1/4 = rise/run
rise = -1 means we go down 1
run = 4 means we move to the right 4
--------------------
Since m = -1/4 and b = 3, we go from y = mx+b to y = (-1/4)x+3
Please answer this question
Answer:
C
Step-by-step explanation:
First, you have to find the fraction for yellow. To do that, combine the other fractions by converting them to all have a denominator of 12. Once you do this, you know that yellow is 1/4, making the answer 48.
Answer: C. 48
Step-by-step explanation: Because Imm smart, Also can you give me brainliest it will help much appreciated
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!
Answer: you have: C(X)=3x+2.00
x=number of minutes
Pay attention to the y=mx+b form where m=slope-->>
3x is the slope...
so it's 3(times the number of minutes) <<---or (x)
This means that the slope is 3, or the fancy way of saying it-->>"rate of change."
The rate of change of the cost of the taxi ride is $3.00 per minute.
Step-by-step explanation:
A car dealer paid $21,000 for a car and marked it up by 1/3 of the price he paid.How much did he sell the car for?
Answer:
$28000Step-by-step explanation:
Cost of the car = $21000
Mark up = 1/3*21000 = $7000
Sale price = 21000 + 7000 = $28000
X
The line of best fit for the graph above has the equation
y= 1.5x + 3. What value does the line predict when
x = 4?
y =
Answer:
9
Step-by-step explanation:
just plugged in 4 for x
y=1.5(4)+3
hope this helps and is right haha <3
In the molecule of CH4 there are______
Hydrogen atoms, and____
Carbon atom.
A.4 Hydrogen,4 Carbon
B.1 Hydrogen, 4 Carbon
C.1 Carbon. 4 Hydrogen
Answer:
c
Step-by-step explanation:
the answer is 1 carbon and 4 hydrogen
Answer:
4 hydrogen atoms and 1 carbon atom, C
Step-by-step explanation:
In CH4, a number next to an atom´s symbol represents the number of that atom. When there is only one, there will be no number shown next to the atom´s symbol.
Asap need help um plz help
Answer:
3/5
-----------------
the answer is the first one, 3/3.
Help needed ASAP will give you BRAINLIEST and 5 stars
Answer:
y-x
Step-by-step explanation:
Answer:
Y=-x
Step-by-step explanation:
Because any other ones have stuff they should.
7x +6 = 17x
X=____________
Answer:
[tex]\boxed { x = \frac{3}{5}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]7x + 6 = 17x[/tex]
-Take [tex]17x[/tex] and subtract it from [tex]7x[/tex]:
[tex]7x + 6 - 17x = 17x - 17x[/tex]
[tex]-10x + 6 = 0[/tex]
-Subtract [tex]6[/tex] to both sides:
[tex]-10x + 6 - 6 = 0 - 6[/tex]
[tex]-10x = -6[/tex]
-Divide both sides by [tex]-10[/tex]:
[tex]\frac{-10x}{-10} = \frac{-6}{-10}[/tex]
[tex]\boxed { x = \frac{3}{5}}[/tex]
So, the value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
Answer:
coooooooooooooooool
Step-by-step explanation:
The solution for x2 + 2x + 8 ≤ 0 is
Answer:
the empty set
Step-by-step explanation:
right on edge
Does anyone know the answer to this ?
Answer:
RE9PHYIOUHAHT8HSAPHTOASHO0TEHT
Step-by-step explanation:
Find the area and perimeter of a rectangular poster measuring 0.73 m by 1.1 m
x-y=11 2x+y=19 elimantion
Answer:
x=20/3 y=17/3
Step-by-step explanation:
1. x-y=1
2. 2x+y=19
The first equation can be rewritten as 2x-2y=2
We can then subtract the second equation from this:
2x-2y=2
2x+y=19
-3y=-17
y=17/3
Plug this into to solve for x:
x-17/3=1
x=17/3+1
x=20/3
solve 8 + 7x = 14
solve y + (-12) = 10
Answer:First one is x=1
second is y=22
Step-by-step explanation:
Answer:
[tex]x = \frac{6}{7}[/tex] y = 22Step-by-step explanation:
For first equation:
Subtract 8 from each side, so it now looks like this: 7x = 6Divide each side by 7 to cancel out the 7 next to x. It should now look like this: [tex]x = \frac{6}{7}[/tex]For second equation:
Simplify: y - 12 = 10Add 12 to each side, so it now looks like this: y = 22I hope this helps!
BRAINLEST IF ANSWERED CORRECTLY AND QUICKLY
)Which of these describes how children were treated differently from slaves in the Roman Republic?
Children could own property, but a slave's goods belonged to his master.
Children ate three meals per day, but slaves ate one meal per day.
Free children were allowed to vote, but adult slaves could not.
Male children could go to school, but male slaves could not.
Answer:
c
Step-by-step explanation:
c
For the function f(x) = x + 2, find f-'(x).
[tex]f(x) = x + 2[/tex]
[tex]y = x + 2[/tex]
Subtract the sides of the equation minus 2
[tex]y - 2 = x[/tex]
So ;
[tex] {f}^{ - 1}(x) = x - 2 [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Find the slope of the line that passes through (1,7) and (10, 9).
Answer: 2/9
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
y2 - y1 over x2 - x1
Then subtract and get 2/9
Hope this helped and have a great day!
(Please brainliest)
Martin is building a model. He cuts two pieces of wood that are each 6 1/3 inches long from a board with a total length of 18 inches. What is the length, in inches, of the remaining part of the board?
Answer:5 1/3
Step-by-step explanation:
What is -5n+7<57 and 6n+2<8
Answer:
if -5n+7<57, then n>-10.
if 6n+2<8, then n<1.
Step-by-step explanation:
-5n+7<57
1. subtract 7 from both sides:
-5n+7 -7< 57 -7
-5n<50
2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):
-5n ÷-5<50 ÷-5
n>-10
6n+2<8
1. subtract 2 from both sides:
6n+2 -2<8 -2
6n<6
2. divide both sides by 6:
6n ÷6<6 ÷6
n<1
A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.
Answer:
0.000000116
Step-by-step explanation:
When the exponent is negative, the most-significant digit goes in the number place that is that many places to the right of the decimal point.
Here, the most-significant 1 is in the 7th place to the right of the decimal:
1.16E-7 = 0.000000116
plz help. pl and thank u
Answer: sorry i cant read it its to small
Step-by-step explanation:
Answer:
0,2
Step-by-step explanation:
also pls try to answer my question have to finish this
A theater owner wants to divide a 3300 seat theater into three sections, with tickets costing $ 60, $70, and $120, depending on the section. He wants to have twice as many $60 tickets as the sum of the other tickets, and he wants to earn $ 224,000 from a full house. Find how many seats he should have in each section.
Answer:
Section A = 2,200 seats
Section B = 800 seats
Section C = 300 seats
Step-by-step explanation:
Three sections
Section A cost = $60
Section B cost = $70
Section C cost = $120
Total seat = 3300
Total earnings = $224,000
He wants to have twice as many $60 tickets as the sum of the other tickets
A = 2(B + C)
A + B + C = 3,300
60A + 70B + 120C = 224,000
substitute A = 2(B + C)
2(B + C) + B + C = 3,300
60(2B + 2C) + 70B + 120C = 224,000
2B + 2C + B + C = 3,300
120B + 120C + 70B + 120C = 224,000
3B + 3C = 3,300 (1)
190B + 240C = 224,000 (2)
Multiply (1) by 80
240B + 240C = 264,000 (3)
190B + 240C = 224,000 (2)
Subtract the equations
240B - 190B = 264,000 - 224,000
50B = 40,000
B = 40,000 / 50
= 800
B = 800
Substitute the value of B into (1)
3B + 3C = 3,300 (1)
3(800) + 3C = 3,300
2,400 + 3C = 3,300
3C = 3,300 - 2,400
3C = 900
C = 900 / 3
= 300
C = 300
Substitute values of B and C into
A + B + C = 3,300
A + 800 + 300 = 3,300
A + 1,100 = 3,300
A = 3,300 - 1,100
= 2,200
A = 2,200
Section A = 2,200 seats
Section B = 800 seats
Section C = 300 seats
PLEASE HELP!! It is a multiple choice so only one answer!
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ PLS!!!!!!!!
Answer:
10.19 ftStep-by-step explanation:
Circumference formula
C = 2πrSolving for radius
64 = 2*3.14rr = 64/2*3.14r = 10.19 ftso the perimeter is 20 one side is y another is 4y-8 and slow the other one. what is the side lengths
Answer:
5
Step-by-step explanation:
Using a Graph to Understand a Linear Function
ty
160
120
Height of Tree (inches)
The graph shows the growth of a tree, with x
representing the number of years since it was planted,
and y representing the tree's height (in inches). Use
the graph to analyze the tree's growth. Select all that
apply.
The tree was 40 inches tall when planted.
The tree's growth rate is 10 inches per year.
The tree was 2 years old when planted.
As it ages, the tree's growth rate slows.
Ten years after planting, it is 140 inches tall.
80
(5, 90)
|(2,60)
X
6
8
Years since Planting Tree
Answer:
The tree was 40 in tall when planted
The tree's growth rate is 10in per year
Ten years after Planting, it is 140 inches tall
Step-by-step explanation:
original(slope intercept form) : y = 10x + 40
y = 10(10) + 40
y = 100 + 40
y = 40
Solve the compound inequality and graph your solution on the number line.
I WILL GIVE YOU BRAINILIST IF YOU HELP!!
Answer:
Step-by-step explanation:
-10<x≤10
Open circle on -10
Closed circle on 10
