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3 years ago

Identify the rule that could possibly describe this set of data.

Mathematics

1 answer:

Elina [12.6K]3 years ago

7 0

option D is the correct option

y= 10- 2x

Now, if we take the first value of x i.e 1

then, y= 10-2(1)

= 10-2 = 8 ---------> this value matches with the given value of y

take,x =2

y=10-2(2) = 10-4 = 6--------->this value matches with the given value of y

taking, x = 3

y= 10-2(3) = 10- 6=4-------->this value matches with the given value of y

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Solve for x: 3 - (2x - 5) < -4(x + 2)

sattari [20]

x < -23/2

Step-by-step explanation:

you open the bracket first

LHS

3-(2x - 5)

-6x+15

RHS

-4(x+2)

=-4x-8

therefore:

-6x+15 < -4x-8

By collecting the like terms

-6x+4x < -8-15

=-2x<-23

Divide both side by -2x

-2x/-2 < -23/-2

x < -23/2

5 0

3 years ago

Read 2 more answers

The population of a small town is 40,740. It's population falls by 8% per year. How many years later will the population be 14,5

Mashutka [201]

Answer:

0.9101523758 ≈ 1 year

Step-by-step explanation:

The population of a small town is 40,740.

Its population falls by 8% per year.

Given: Compound interest Amount (A) = P( 1 + $\frac{r}{n}$ $)^{nt}$

14,550 = 40,740(1 + $\frac{-8}{100 * 1}$ $)^{t*1}$

14,550 = (40,740 - 3259.2 $)^{t}$

14,550 = (37,480.8 $)^{t}$

t * log 37,480.8 = log 14,550

t = $\frac{ log 14,550}{log 37,480.8}$ = 0.9101523758 ≈ 1 year

6 0

3 years ago

The side lengths of Triangle B are the side lengths of Triangle A. Which statement is not true about Triangle A and Triangle B?

Minchanka [31]

Answer:

They are not similar.

Step-by-step explanation:

3 0

3 years ago

Given mn, find the value of x.<br> 108

adoni [48]

Answer:

72 degrees

Step-by-step explanation:

Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.

3 0

3 years ago

The area of a rectangle is 108 m2 and its diagonal is 15 m. Find

Andre45 [30]

Answer:

47.6m.

Step by step solution:

Perimeter of a triangle = base + 2 . length____(1)

Area of a triangle = 1/2 . base . diagonal

108 = 1/2 . base . 15

multiplying both sides by 2:

216 = 15 . base

dividing both sides by 15:

base = 14.4m

But the diagonal divides the triangle into two

right angle triangles each with the same length (hypotenuse),base and diagonal(height).

Taking one right angle triangle:

And using pythagoras theorem;

length² = base² + diagonal ²

length² = 7.2² + 15²

Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.

length² = 276.84

taking the square root of both sides:

length = 16.6m

Putting the values of the base and length into equation (1).

Perimeter of the triangle = 14.4 + 2 . 16.6

Note: We are dealing with the whole triangle

now hence the base is 14.4m.

Perimeter of the triangle = 14.4 + 33.2 = 47.6m.

6 0

3 years ago

Read 2 more answers