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IrinaK [193]
2 years ago
15

The value of y varies directly with x, and y= -10 when x=40. Identify the value of y when x=-5

Mathematics
1 answer:
scoray [572]2 years ago
8 0

Answer:

y = 1.25

Step-by-step explanation:

Use the direct variation equation y = kx, and solve for k:

y = kx

-10 = k(40)

-0.25 = k

So, the equation is y = -0.25x. Solve for y when x = -5

y = -0.25x

y = -0.25(-5)

y = 1.25

So, y = 1.25 when x = -5

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• Puzzle refer to the above attachment .
dem82 [27]

The solution to this puzzle is 10+3 = 13

<h3>How to solve the puzzle</h3>

To solve this the values at the top of the star were gotten by the addition of two values inside the stars.

  • 3 + 12 = 15
  • 12 + 4 = 16
  • 4 + 2 = 6
  • 2 + 10 = 12
  • 10 + 3 = 13

Therefore the answer to this question is 13.

Another way of getting the value is by adding 15 + 16 = 31

12 + 6 = 18

31-18 = 13

Read more on puzzles here

brainly.com/question/16999211

3 0
3 years ago
6. Does the set of ordered
Zolol [24]

Answer: this is not a function because the X values are repeating for example we see that 0 is set in the X value side it can’t have 5 and -5 as it’s y at the same time therefor it’s not a function

6 0
2 years ago
two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
Lana71 [14]

Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

40-(-16) = 5d-19d

56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

a+5d = 40

a+5(-4) = 40

a-20 = 40

a = 20+40

a = 60

Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

7 0
3 years ago
-3(8n+10) <br> distributive property
Lerok [7]
-24n - 30, i suggest using math.way before asking a math question aha
6 0
2 years ago
Read 2 more answers
If g(x)= x+1/x-2 and h(x)=4-x, what is the value of (g times h)(-3)
Alchen [17]

g(-3)=\frac{-3+1}{-3-2}=\frac{2}{5} \\ \\ h(-3)=4-(-3)=7 \\ \\ (g\times h)(-3)=7\left(\frac{2}{5} \right)=\boxed{\frac{14}{5}}

6 0
2 years ago
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