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Greeley [361]
3 years ago
7

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Mathematics
1 answer:
anygoal [31]3 years ago
5 0
Answer:

k = 2/-3

Step-by-step explanation:

y = kx

Point: (-3, 2)

2 = k(-3)

k = 2/-3

k = -0.6
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Which equivalent fractions can you use to find the difference of 5 and 3/13 and 1 and 4/9 ?
lbvjy [14]
5 3/13 = 68/13
1 4/9 = 13/9
7 0
4 years ago
Neeeddddd HELP LOOKONG FOR ANSWERS!!
kaheart [24]

Answer:

a.) 13 students

b.) 53 members

Step-by-step explanation:

a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.

b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.

7 0
3 years ago
How many 5/8-foot pieces of wood can you cut from a board 4 5/8 feet long
Leona [35]
Divide 4 and 5/8 by 5/8. you will get 7 and 2/5, or 7.4. since this you need whole pieces of wood, round down to 7. 

final answer=7 pieces of wood
8 0
3 years ago
If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)
Zepler [3.9K]

Answer:

\large\boxed{(f+g)(x)=5x^2+6}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6

6 0
4 years ago
What are the solutions to the equation?
olga2289 [7]

Answer:

x = −10 and x = 4

Step-by-step explanation:

x2 + 6x = 40

Subtract 40 from each side

x^2 + 6x -40 =0

Factor,  what 2 numbers multiply to -40 and add to 6

10 * -4 = -40    10+-4 = 6


(x+10) (x-4) = 0

Using the zero product property

x+10 =0     x-4=0

x=-10    x=4

6 0
3 years ago
Read 2 more answers
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