PLEASE HELP ME ITS VERY URGENT
2 answers:
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Answer:
see explanation
Step-by-step explanation:
both linear equations will have the form
y = mx + c ( m is the slope and c the y- intercept )
Chef Mate
c(n) = mn + c
calculate m using the slope formula
m =
with (x₁, y₁ ) = (2, 14) and (x₂, y₂ ) = (3, 18.5) ← 2 ordered pairs from the table
m = =
= 4.5 , then
c(n) = 4.5n + c ( n represents ounces )
To find c substitute any ordered pair from the table into c(n)
using (4, 23 )
23 = 18 + c ⇒ c = 23 - 18 = 5
c(n) = 4.5n + 5 ← equation for Chef Mate
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Similarly for Grocery Gourmet
g(n) = mn + c
using (2, 23 ) and (3, 27 ) to find m
m = =
= 4 , then
g(n) = 4n + c
using (4, 31 ) to find c
31 = 16 + c ⇒ c = 31 - 16 = 15
g(n) = 4n + 15 ← equation for Grocery Gourmet
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Equate the 2 equations to find when cost is the same
4.5n + 5 = 4n + 15 ( subtract 4n from both sides )
0.5n + 5 = 15 ( subtract 5 from both sides )
0.5n = 10 ( divide both sides by 0.5 )
n = 20
Then when n = 20
c(n) = 4.5(20) + 5 = 90 + 5 = 95
g(n) = 4(20) + 15 = 80 + 15 = 95
Both Chef Mate and Grocery Gourmet charge $95 for 20 ounces of extract
Answer:
<h2>48</h2>Step-by-step explanation:
It's an arithmetic sequence with common difference <em>d = 7</em>.
Find 9th term.
METHOD 1<em>.</em>
<em>Calculate next terms:</em>
METHOD 2.
<em>The explicit formula of an arithmetic sequence:</em>
Substitue:
<em>use the distributive property</em>
Put <em>n = 9</em>:
The answer to the question is a=3
Given:
The lengths of the sides of a triangle are 6, 11, 16.
To find:
Whether the given triangles is a right angle triangle or not.
Solution:
Pythagoras theorem:
A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.
In the given triangle the length of the largest side is 16.
Square of the largest sides is:
Sum of the squares of the two smaller sides is:
Since , therefore the given triangle is not a right angle triangle.