Answer: The equation of the trend line is y = -2x + 24.
First, we need to find the slope. The slope is the change in y over the change in x between the points. Our points move down 4 units while moving right 2 units. So our slope would be -4/2 or just -2.
Second, we need to find the y-intercept. We are lucky because the y-intercept can be see clearly in the graph. It is (0, 24).
We can put the slope and y-intercept together to get the equation:
y = -2x + 24.
Answer:
18.95(0.3+0.1)
Step-by-step explanation:
Add the parenthesis and then multiply it to the cost to get the answer
the coefficient for the first term is 1, the next is 11 and so on... now, notice, the elements of the binomial, the 1st element starts off with 11, and every term it goes down by 1, the 2nd element starts off at 0, and goes up by 1 in each term.
now, to get the next coefficient, you simply, "get the product of the current coefficient and the exponent of the 1st element, and divide that by the exponent of the 2nd element in the next term".
for example, how did we get 165 for the 4th term.... well (55*9)/3
how did we get 462 for the 6th term? well (330*7)/5.
and then you can just expand it from there.
The value of cos 4x from the given identity is 0.999
<h3>Trigonometry identity</h3>
Given the cosine identity
cos8x = 13/36
Determine the value of x
8x = arccos(13/36)
8x = 0.36111
x = 0.36111/8
x = 0.04514
Determine the value of cos4x
cos4x = cos4(0.04514)
cos4(0.04514) = 0.999
Hence the value of cos 4x from the given identity is 0.999
Learn more trig identity here; brainly.com/question/7331447
Answer:
B.) 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - y = -1
3x + 5y = 21
<u>Step 2: Rewrite Systems</u>
x - y = -1
- Add <em>y</em> to both sides: x = y - 1
<u>Step 3: Redefine Systems</u>
x = y - 1
3x + 5y = 21
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 3(y - 1) + 5y = 21
- Distribute 3: 3y - 3 + 5y = 21
- Combine like terms: 8y - 3 = 21
- Add 3 to both sides: 8y = 24
- Divide 8 on both sides: y = 3
