How do you write this expression using a positive exponent (-2)^-6

Andrei [34K]

A linear function would be y=3x+10

4 0

3 years ago

Which table shows a proportional relationship between x and y? x 2 3 5 6 y 3 4 7 9 x 4 6 8 10 y 6 8 10 12 x 1 5 8 10 y 15 75 120

AysviL [449]

Answer:

Only the 3rd table shows a proportional relation between x and y.

Step-by-step explanation:

The first table is

x 2 3 5 6

y 3 4 7 9

Here y is not increasing in uniform rate with x. So, the relation is not proportional.

The second table is

x 4 6 8 10

y 6 8 10 12

Here y is increasing in uniform rate with x, but at x = 0, y ≠ 0, Hence, the relationship is not proportional.

The third table is

x 1 5 8 10

y 15 75 120 150

Here, y is increasing in uniform rate with x, and at x = 0, y = 0, Hence, the relationship is proportional.

The fourth table shows

x 3 9 10 15

y 1 3 4 5

Here also y is not increasing in uniform rate with x. So, the relation is not proportional.

Therefore, only the 3rd table shows a proportional relation between x and y. (Answer)

5 0

3 years ago

150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn't answer w

alexandr1967 [171]

Answer:

The parents who didn't answer with either naughty and nice are 6.

Step-by-step explanation:

Given:

150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.

Now, to find parents who didn't answer with either naughty and nice.

So, as given in question:

70% said that their kids are naughty.

26% said that their kids are nice.

So, to get the percentage of parents who didn't answer we subtract.

Thus, the percentage of parents who didn't answer with either naughty and nice:

100% - (70% + 26%)

100% - 96% = 4%.

Hence, 4% of parents didn't answer.

Now, to get how many parents didn't answer we calculate the percentage of the total who didn't answer:

Total parents surveyed = 150.

Parents who didn't answer = 4% of the total parents surveyed.

$Parents\ who\ didn't\ answer = 4\% of 150.$

$Parents\ who\ didn't\ answer = \frac{4}{100}\times 150.$

$Parents\ who\ didn't\ answer = \frac{600}{100}.$

$Parents\ who\ didn't\ answer = 6.$

Therefore, the parents who didn't answer with either naughty and nice are 6.

8 0

3 years ago

ABCD is a trapezium with AB= x cm, DC=( x+ 4 )cm and the distance between the parallel sides AB and DC is 1/2 x cm

horsena [70]

We know that the smaller base is x cm, the greater base is x+4 cm, and that the height is x/2 cm.

Since the area of a trapezium is given by

$A=\dfrac{(b+B)h}{2}$

If we plug the expressions we have

$A=\dfrac{(x+(x+4))\frac{x}{2}}{2}=\dfrac{(2x+4)x}{4}=\dfrac{2x^2+4x}{4}$

If this must equal 84, we can solve for x as follows: start with

$\dfrac{2x^2+4x}{4}=84$

Multiply both sides by 4:

$2x^2+4x=336$

Subtract 336 from both sides:

$2x^2+4x-336=0$

We can divide both sides by 2 to make computation simpler:

$x^2+2x-168=0$

Use the quadratic formula (or any mean you prefer) to solve this equation and get the solutions

$x_1=-14,\quad x_2=12$

We can't accept the negative solution, because it would imply

$AB=-14,\quad CD=-10$

and we can't have negative side lengths. So, the answer is 12.

4 0

3 years ago

Find the values of x and y that make mIIn

Mandarinka [93]

Answer:

180 degrees Celsius

Step-by-step explanation:

I think it's correct

4 0

3 years ago