All categories

2 years ago

The values of x and y are directly and one pair of values are given.

Mathematics

1 answer:

Anestetic [448]2 years ago

7 0

Answer:

The relation is $y = -1.5x$

Step-by-step explanation:

x and y are directly proportional:

This means that the equation is given by:

$y = ax$

In which a is the multiplier that relates these two variables.

x= -4, y =6

We use this to find a. So

$y = ax$

$6 = -4a$

$a = -frac{6}{4}$

$a = -1.5$

The relation is $y = -1.5x$

You might be interested in

write a possible point slope form of the equation of the line that passes through the points (4,4) and (3,-2)?

Mashutka [201]

m=-2-4/3-4=-6/-1=6

y-4=6(x-4)

y=6x-20

6 0

2 years ago

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.

Orlov [11]

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by $4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82$

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

$4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82$

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

4 0

3 years ago

The diameter of a circle is 3.2 meters. Which is the circumference of the circle rounded to the nearest hundredth of a meter?

Paraphin [41]

Answer:

10.05 meters

Step-by-step explanation:

If the diameter is 3.2 meters, then the radius is 1.6 meters.

Use the circumference formula, C = 2 $\pi$ r, and solve for C

C = 2 $\pi$ r

C = 2 $\pi$ (1.6)

C = 3.2 $\pi$

C = 10.05

So, to the nearest hundredth of a meter, the circumference is 10.05 meters

4 0

2 years ago

Write 15 as a product of prime numbere

fenix001 [56]

Maybe 10 or something i dont know im only 10 so i cant really answer that i just need points

7 0

2 years ago

Read 2 more answers

-1/6 + 4/5 Write your answer in simplest form

Alchen [17]

Answer:19/30

Step-by-step explanation:

1. multiply and divide(left to right)-1/6

=-1/6+4/5

2.multiply and divide(left to right)4/5

=-1/6+4/5

3. add and subtract(left to right)-1/6+4/5=19/30

=19/30

5 0

2 years ago