What is the factored form of the expression x^2 - 16?

Answer:

x > 77

Step-by-step explanation:

According to order of operations rules, we must carry out division before addition or subtraction.  In this case we wish to isolate x and are permitted to simplify the inequality by combining the "like terms" 3 and 8, as follows:

X/7-3>8

     +3 +3

--------------

x/7 > 11

The easiest way in which to solve for x is to multiply both sides of this inequality by 7:

7(x/7) > 7(11), or

x > 77

All numbers greater than 77 are part of the solution set.

Answer:

temperature will remain 0° after 2 day

Answer:

0.147

Step-by-step explanation:

This is rounded to the nearest thousandths place. 11 divided by 75 is 0.147.

Answer:

0.14666666 (or put the symbol for a repeating number on the first 6, that way you don't have to write all of the other sixes)

Hope this helps :)

Given:

Triangle ABC and triangle DEF are similar triangles.

To find:

The proportion that can be used to find the length of segment DE.

Solution:

We know that the corresponding sides of similar triangles are proportional.

Triangle ABC and triangle DEF are similar triangles. So, their corresponding sides must be proportional.

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}[/tex]

[tex]\dfrac{4}{DE}=\dfrac{3}{9}[/tex]

[tex]\dfrac{4}{3}=\dfrac{DE}{9}[/tex]

Therefore, the correct option is A.

Complete question :

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies inversely as the square of x, and y= 1/8 when x=1, find y when x=5

Answer:

k = 1/8

y = 1 / 200

Step-by-step explanation:

Let the constant of variation = k

y varies inversely as the square of x

y α 1/x²

y = k * 1/x²

y = k/x²

y = 1/8 ; x = 1

1/8 = k/1²

1/8 = k

K = 1/8

y ; when x = 5

y = (1/8 ÷ 5²)

y = 1/8 * 1/5²

y = 1/8 * 1/25

y = 1 / 200

Answer:

C

Step-by-step explanation:

Edge 22

Answer:

24 2/3 feet

Step-by-step explanation:

If the shadow makes is 3 times longer, then the height of the tree is 74/3

74/3 = 24 2/3

Answer:

Step-by-step explanation:

1.Rewrite the decimal number as a fraction with 1 in the denominator

2.Multiply to remove 1 decimal places. Here, you multiply top and bottom by 101 = 10

3.Find the Greatest Common Factor (GCF) of 4 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

so the answer is

0.4= 2/5

Answer:

Sugar for 1 cake = 7.4 g

Sugar for 7 cakes = 7.4 × 7 = 51.8 g.

Answer:

32 oz for $3.00

Step-by-step explanation:

1.25/12 = 0.10416666

1.65/16 = 0.103125

3/20 = 0.15

3/32 = 0.09375

Answer:

Choice b

Step-by-step explanation:

He starts by going down, so that is descending, and would be a negative number. Then he is climbing, so that’s a positive number.

Answer:

y=2x+3

x=(-1)

y=-5x+6

x=1

Step-by-step explanation:

Just find x in the equation

Answer:

45

This is your answer.

Answer:B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

I'm not 100% sure about this because this unit confused me but...

if you put it in your graphing calculator or in desmos, you can see that the first positive x -intercept (which is a point that is on the x-axis) is somewhere around one but it's not 1.571!! (other person is wrong!)

that point is (0.571, 0) so it's the first option

Answer:

What do u mean by legs please can you explain it further

Answer:811.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

(7.5ftx9ftx12ft)+[5(9ftx12ft)+2(1/2x5x√(4.5^2+1.5^2)ft)]

=810ft+[540ft+2(1/2x5x6.75)ft]

=810ft+(540ft+33.75ft)

=1383.75ft

(sorry I'm not too sure if it is correct )

Answer:

4(x²+14x+49)-49+13=0

4x²+56x+196-49+13=0

4x²+56x+160=0

D=3136-2560=576

x1=-56+24/8=-4

x2=-56-24/16=-10

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

use Pythagoras theorem

Answer:

5 units

Step-by-step explanation:

It says round to the nearest 10th so it cant be 5.1 or 4.99, and 25 is to big for that side, so 5 units

Answer:

X = 4

Step-by-step explanation:

7x + 3 = 31

Step 1: Subtract 3 from both sides.

7x + 3 - 3 = 31 - 3

7x = 28

Step 2: Divide both sides by 7.

7x/7 = 28/7

Therefore, the answer is X = 4

Answer: 78.5

Step-by-step explanation:

Formula: A=pi*r^2   or   Area = 3.14*radius squared (by two)

A = 3.14*10^2

A = 3.14*100

A = 314

Divide it by 4, because it's a quarter of the circle: A = 314/4

A = 78.5

Answer: 78.5

Your welcome :)

Answer:

y≤46

it's the third one. hope it helps

Answer:

Im not so sure but I think the "b" point there is a right angle.

Step-by-step explanation:

I Hope that answered your question, If it did, please but me a brainliest because, that would be my first ever one!

Thank you!

-Brainly User

Answer:

D

Step-by-step explanation:

The statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6

Clusters are groups in data. Each group is like clustered or grouped around some number, usually the mean of that cluster.

Spread, also called range of a data, tells the difference between the maximum and minimum value of that data, thus showing how much widely is it spread.

Thus, spread = maximum value - minimum value

For this case, we see that there are two clusters for class A and for class B there is only single cluster which is almost separated but not distinctly forming two clusters.

Class A spreads from minimum 4 to maximum 16, thus its spread is 16-4 = 12 units wide.

Class B spreads from minimum 3 to maximum 9, thus, its spread is 9-2 = 6 units wide.

Also, we can see that for class A, there is a gap from 7 to 11.

So all three options A, B and C are correct.

Now, let we find median.

Median is that value which is in mid of ordered (ascending or descending data set).

For class A, we have the data as:

4,4,4,4,4,5,5,5,6,6, 12,13,13,13,14,14
They are total 16 observations. The middle observation pair is 8th and 9th observation, which are 5 and 6

We can take any of the number between 5 and 6, so 5 < median < 6

That means median of class A's data is smaller than 6, thus, not being 6.

Thus, option D is incorrect and we don't need to find median of class B.

Thus, the statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6

Learn more about median here:

https://brainly.com/question/14315366

Answer:

The answer to this question should be acute

Answer:

rectangle

Step-by-step explanation:

in a rectangle, all 4 angles are 90° but only opposite sides are congruent

Answer:

The volume is 12.

Step-by-step explanation:

If you multiply l x w x h

4 x 3 x 1 = 12

l x w x h

Answer:

my guess is 5 cm

Step-by-step explanation:

im not really good at math but i think its 5 cm because 60 divided by 12 is 5

hope i helped some people :D