Answer:
First term = -41.
Common difference = -15.
Step-by-step explanation:
nth term: an = a1 + (n - 1)d where a = first term and d = the common difference.
-671 = a1 + (43 - 1)d
-806 = a1 +(52 - 1)d
-671 = a1 + 42d
-806 = a1 + 51d
Subtracting ( to eliminate a1):
-671 - (-806) = 42d - 51d
-9d = 135
d = -15
Substitute for d in the first equation:
-671 = a1 + 42*-15
-671 = a1 - 630
a1 = -671 + 630 = -41.
Answer:
30 = 2x + 3y
Step-by-step explanation:
x is the number of pens bought and y is the number of notbooks bought you graph this and you get a graph that shows you all the combinations.
Your question was incomplete. Please refer the content below:
Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.
X Y
10 30
13 39
14 42
21 63
The constant of proportionality is 3 as for 1 student she buys 3 snacks.
The constant of proportionality means the ratio between the terms x and y.
It is calculated by dividing y by x.
Here we get that:
X Y constant of proportionality(Y/X)
10 30 3
13 39 3
14 42 3
21 63 3
Therefore, we get the constant of proportionality as 3.
Learn more about constant of proportionality here:
brainly.com/question/1835116
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Answer:
-3, 5
Step-by-step explanation:
By solving for x you get -3 and 5.
To find the magnitude of a vector, take the components, square them, then add them, then take the square root. This is very similar to the Pythagorean Theorem.
For your particular problem, I’ve included a picture showing how that specific calculation is done. :)
