I assume you're asked to solve
4 cos²(x) - 7 cos(x) + 3 = 0
Factor the left side:
(4 cos(x) - 3) (cos(x) - 1) = 0
Then either
4 cos(x) - 3 = 0 or cos(x) - 1 = 0
cos(x) = 3/4 or cos(x) = 1
From the first case, we get
x = cos⁻¹(3/4) + 2nπ or x = -cos⁻¹(3/4) + 2nπ
and from the second,
x = nπ
where n is any integer.
Evaluate expression using the order of operations. 17 − 5 ⋅ 4 ÷ 2
Answer:
7
Step-by-step explanation:
5x4=20
20/2=10
17-10=7
Answer:
your answer is 7
Step-by-step explanation:
17-5×4÷2
P- parenthesis
E- Exponents
M- Multiplication
D- Divide
A- Add
S- Subtract
The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There are a total of 276 coins in the bag. What is x, the number of dimes in the bag?
Answer:
The number of dimes is represented by x = 90
Step-by-step explanation:
Given that:
The number of dimes is represented by x
Number of quarters = 6 + 2x
Total number of coins in the bag = 276
To find x, we have:
x + 6 + 2x = 276
3x + 6 = 276
3x = 276 - 6
3x = 270
x = 270/3
x = 90
A grocery store sells a bag of 3 oranges for $1.71. How much does one orange cost?
Answer: 57 cents each
Answer:
57 cents
Step-by-step explanation:
divide the amount of money by the amount of oranges to find the amount each of them are. so if each of them are 57 then 1 is 57.
To graduate you must take at least 12 core credits and 6 electives credits and you can take no more than a total of 26 credits. Write a system of inequalities that defines how many of each you can take.
C≥12,E≥6,C+E≤26
C+E≥18,C+E≤26
C+E≥18,C+E<26
C≤12,E≤6,C+E≤26
Answer:
C≥12,E≥6,C+E≤26
Step-by-step explanation:
i just took the quiz and got it right
The system of inequalities will be C≥12, E≥6, and C+E≤26. Then the correct option is A.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The Inequality to graduate you must take at least 12 core credits,
C≥12
The Inequality to graduate you must take at least 6 electives credits,
E≥6
No more than a total of 26 credits for both core and electives.
C+E≤26
Hence, the correct option is A.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
y = -2x+3 write in standard form
Answer:
y + 2x - 3 = 0
Step-by-step explanation:
You should learn the topic.
Answer:
2x+y-3=0
Step-by-step explanation:
The standard form is a representation of equations that start from the variable term towards the constant term, generally leaving the RHS empty.
Here,
[tex]y=-2x+3\\y+2x=3\\y+2x-3=0\\2x+y-3=0[/tex]
please help me with the question
Answer:
D. If you go through all the equations they all come out true beside this one. With this one Alisha pays $1,480 which is less than $1,500
I really need help
Answer:
There is a positive correlation in the data set.
General Formulas and Concepts:
Statistics - Scatterplots
Positive Correlation - an upwards trend in the data setNegative Correlation - a downwards trend in the data setNo Correlation - an undeterminable correlation in the data setStep-by-step explanation:
According the data set on the graph, we can see that if we draw a line of best fit, the overall data would be increasing. Therefore, we would have a positive correlation.
Keyla traveled 2155 kilometers by car to visit some relatives. If 1 km is approximately 0.62 miles, then what is the number of miles Keyla traveled to the nearest unit? 1,336 miles 7,471 miles 2,877 miles 3,470 miles
Answer:
1336miles.
Step-by-step explanation:
From the question we are told that;
1km represents 0.62miles
1km = 0.62miles
We are to express 2155kilometers in miles.
2155km = x miles
Find x:
Divide both equations;
1/2155 = 0.62/x
Cross multiply;
1 * x = 2155 * 0.62
x = 1,336.1miles
Hence the correct option is 1336miles.
Solve the system of equations by graphing. y= -2x + 1
Answer:
y= -2x + 1
Step-by-step explanation:
To add or subtract numbers with the power of ten you need to make sure the exponents match before you do anything to the coefficients
Answer:
is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.
Step-by-step explanation:
Answer:
nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents
State the operations used to solve the following equation 2x+8=9
Answer:
Subtraction and Division
Step-by-step explanation:
2x+8=9
2x+8-8=9-8
2x=1
x=1/2
Which situation is modeled by the equation 24 = 15x + 8 ? Which one of these are the correct answer that goes with this equation
Answer:The bottom answer
Step-by-step explanation:
Answer:
1.0666666667
Step-by-step explanation:
first do -8 under +8, cross it out then do -8 under 24 or 24 - 8 = 16 then do 16÷15x
hiking at a constant rate, fred covers 6miles in 4 hours. Predict how far he can hike in 10hours.
Answer:
15 miles
Step-by-step explanation:
First you divide 6 by 4 then multiply the result by 10
Plz, Help me with this question.
Answer:
12x + 16y
Step-by-step explanation:
Multiply 4 and 3x to get 12x.
Multiply 4 and 4y to get 16y.
The sign stays positive because 4 is positive, so we end up with 12x + 16y.
bag of sweets £1.50 per bag, buy 3 get 1 free how many sweets can you buy for £9
Answer: 8
if you're talking about how many bags of sweets you can BUY, as in without counting the ones you got for free, it's 6. if you're talking how much you GOT, it's 8.
Step-by-step explanation: you can multiply 1.5 times an unknown number to get nine. the unknown number would be the number of bag of sweets you get without the "buy 3 get 1 free" thing. You can reverse the equation to get 9 divided by 1.5 equals 6.
you can then divide 6 by three, which is 2- meaning you got two free bags of sweets. 6 plus 2 is 8.
Answer:
8 I believe
Step-by-step explanation:
1.50 x 3 = 4.50 so for 4 bags you need 4.50
1.50 x 6 = 9 but you can't forget about the buy 3 get 1 deal
you bought 6 which is two times 3 so would get two free
6+2= 8
I apologize if I didn't explain it enough or got it wrong
A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be the area, in square inches , of the new rectangle in terms of x
Answer:
Option (4)
Step-by-step explanation:
Area of a rectangle = Length × width
If the dimensions of the given rectangle is doubled,
Area of the new rectangle = 2(Length) × 2(width)
= 4(Length × width)
= 4(x)(x - 2)
= 4[x² - 2x]
= 4x² - 8x
Therefore, Option (4) will be the correct option.
What is m∠J? a 59 , b 61, c 60
Answer:
I need
Step-by-step explanation:
This
Answer:
B. 61
Step-by-step explanation:
PLEASE HELP ! Which inequality represents “nine more than three times a number is greater than 21”.
A. 9n > 21
B. 9+ 3 > 21
C. 3n +9 > 21
D. 9n + 3 > 21
Answer:
C
Step-by-step explanation:
Answer:
C. 3n+9>21
Step-by-step explanation:
Ignore the 9 for a second and think about the phrase "3 times a number", if we say n is the number, then 3n is 3 times the number n.
Now we need something that is 9 more than this 3n, that means you add 9 to this, so you have 3n+9.
Finally, this 3n+9 is greater than 21, so we have 3n+9>21.
answer quickly please doing test !!!!!
Answer:
[tex]2w - \frac{ 7}{4} [/tex]
Step-by-step explanation:
[tex] \frac{1}{4} \times 8w = 2w \\ \frac{1}{4} \times ( - 7) = \frac{ - 7}{4} [/tex]
Answer: 2w -7/4
Step-by-step explanation:
1 /4(8w − 7)
Apply the distributive property.
1 /4(8w − 7) + 1/4 ⋅ − 7
Cancel the common factor of 4.
Factor 4 out of 8w.
2w + 1/4 ⋅ -7
Combine 1/4 and -7
2w + ((-7)/4)
Move the negative in front of the fraction.
2w − 7/4
Rewrite the equation C = 2nr to show the expression that can be used to find the value of r.
The process is:
C = 2nr
2nr = c
r (2n) = c
[tex]r = \frac{c}{2n} [/tex]
That's the answer☝️☝️☝️☝️
or maybe this one
r = 2n + c
sorry, I'm unsure, it has been too long since I studied that...
Answer:
C = 2nr
you divide by 2n both sides
that means C/2n = 2nr/2n
after that you simplify then it will be C/2n = r
r = C/2n
wHaT is 3+3x+45??????????
Answer:
3x+48
add 3+45=48
Step-by-step explanation:
Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)
Answer:
3(x+16)
Step-by-step explanation:
45+3=48
3x/3=x
48/3=16
3(x+16)
for f(x)=-3x+2 find each value
f(-4)=
f(5)+8=
f(3)-f(6)=
Step-by-step explanation:
1. f(-4)=-3x+2
x=-4
f(-4)=-3(-4)+2
f-4=-3-4+2
f-4=-5
f-4/-4=-5/-4
f=5/4
In 1940 you could buy a soda for 5 cents. Today the average cost of the same size soda is $1.25. What is the percent of increase in the cost of a soda?
Answer:
2400%
Step-by-step explanation:
Answer: 2,400%
Step-by-step explanation:
1.25 * 100/0.05 = 2,500
2,500% - 100% = 2,400%
A telephone marketer earns a 14% commission on their sales each week. In one week, their sales amounted to $920.
1a
First, find 10% of their total sales.
Answer:
I love u plz don't report
Can someone tell me how does this make sense?- or am I being stupid?
Answer:
It looks like she/he didn't count the question and just gave extra points. This made me lose some brain cells
Step-by-step explanation:
I need help with this plz percent equations 100% of blank = 600,000
Answer:
100% of 600,000 = 600,000
Step-by-step explanation:
The answer will be 600,000
Since
100% of 6,000,000 = 6,000,000 so,
100% of 600,000 = 600,000
Find the slope of (4,4) (-6-4) plz need this like in 20 minutes
Answer:
The slope is 0
Step-by-step explanation:
London bought snacks for her team's practice. She bought a bag of apples for $2.25 and a 18-pack of juice bottles. The total cost before tax was $9.63. Write and solve an equation which can be used to determine
j
j, how much each bottle of juice costs?
Answer:
go to siri
Step-by-step explanation:
go to your phone
go to siri
and ask
2 를
of
2
Angie is saving money for a new bike. She has
3
the amount of money she needs for the bike.
She has $120 saved. How much does the bike cost?
If she saves $10 a week, how many more weeks will it
take for her to be able to buy the bike?
Answer:
she has $40
Step-by-step explanation:
Help me out guys I’ll give u a star