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GRAPH THE FUNCTION:
Answers
Answer:
Step-by-step explanation:
We are given the function f(x) = -3/4(x) +6.
We know that the slope intercept form of a line is y = mx + b
Here, the slope m = -3/4.
The y-coordinate of the y intercept is b = 6 so the y-intercept is at the point (0,6) [x is always 0 at the y-intercept]
If you have to points you can graph the line, we only have the point (0,6).
To find the second point we use the slope.
We add the bottom point of the slope to the x coordinate of the y-intercept and we add the top part of the slope to the y coordinate of the y-intercept, so our second point is (0 + 4, 6 +(-3)) = (4, 3).
You then plot the points we have: (0,6) and (4,3) and draw the line through them.
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Find the cost of lodging: A resort offers a double room for $87.00. Meals in the restaurant are $9.00 per person for breakfast, $14.00 per person for lunch, and $16.00 per person for dinner. How much would it cost two people to stay in the resort each day?
18 pieces of wood each are 1 4/9 feet long what is the total length of wood needed
Answers
Answer:
2
Step-by-step explanation:
count how many more
cosine of 3 times pi over 10
sine of 7 times pi over 10
sine of 3 times pi over 10
(The clear version of the question is in the picture below)
Answers
Answer:
(b) cos(3π/10)
Step-by-step explanation:
The given expression matches the trig identity form for the cosine of the difference of two angles:
cos(α-β) = cos(α)cos(β) +sin(α)sin(β)
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To match the given expression exactly, we can choose ...
α = π/2
β = π/5
Then the difference is ...
α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10
The given expression can be shortened to ...
cos(3π/10)
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Additional comment
Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.
Final answer:
The expression 'cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5'' can be rewritten as 'cosine of 3 times pi over 10' by using the cosine addition formula.
Explanation:
The question is related to the usage of trigonometric identities and laws, specifically the cosine addition formula. This formula is defined as: cos(a + b) = cos a cos b - sin a sin b. Looking at your original expression, we can identify a and b based on this definition, to make it align with the cosine addition formula structure. Let's pick a = pi/2 and b = pi/5.
Therefore, your original equation can be transformed as follows:
cos(pi/2)cos(pi/5) + sin(pi/2)sin(pi/5) = cos((pi/2) - (pi/5)) = cos(3pi/10).
So, the expression 'cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5' can be rewritten as 'cosine of 3 times pi over 10.' We have used the cosine addition formula to simplify the original expression.
Learn more about Cosine Addition Formula here:
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Answers
hope this is helpful
Using this rate, create an equation to represent the number of chocolate candies,
c
, in millions, the company can produce in
h
hours.
Answers
Answer:
f(x)=60c * 24h
Step-by-step explanation:
Hope this helped!
2/5
Answers
Answer:
300
Step-by-step explanation:
120 ÷ 2/5 = 300
Let X represent the number we are looking for
2/5 x X=120
2/5X=120
Divide both sides by 2/5
X= 300
L
Answers
Answer:
40 potatoes.
Step-by-step explanation:
16 ounces make a pound, so you multiply that by 2.5 and you get 40.
Final answer:
You need 8 potatoes to total 2.5 pounds, considering each potato weighs 5 ounces.
Explanation:
To solve this problem, you first need to understand that 1 pound is equal to 16 ounces. So, 2.5 pounds would be 40 ounces (16 ounces/pound x 2.5 pounds). If one potato weighs 5 ounces, you would divide 40 (total ounces needed) by 5 (ounces per potato) to find the number of potatoes needed. Thus, you will need 8 potatoes to get approximately 2.5 pounds.
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