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3 years ago

Identify all of the following solutions of (square root of x+8)-6 =X

1 answer:

8 0

Square root (x + 8) -6 = x
square root (x + 8) = x -6
x^2 + 16x + 64 = x^2 -12x + 36

28x = 48
x = 1.7142857143 

None of the above

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The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x +

Ulleksa [173]

Answer:

Width is 5 and length is 7

Step-by-step explanation:

You can solve the equation using the distributive property and inverse operations.

2x +2(x+2)=24

2x + 2x + 4 = 24

4x + 4 = 24

4x = 20

X = 5

This means the width is 5 and the length is 7.

8 0

2 years ago

Lily wants to buy a smartphone, she has $500 to spend .list three ways she can get a good deal

BaLLatris [955]

1. Check the prices of phones from different stores.

2. Do some research to see what is the average cost of the phone.

3. Check for possible discounts.

Hope this helps :)

3 0

3 years ago

Suppose we write the numbers $1,2,3,4,5,6$, and then color each number red or blue. The coloring is called factorific if there i

Oxana [17]

Answer:

The probability that his coloring is factorific is 0.28125

Step-by-step explanation:

For calculate the probability is necessary to identify the total number of ways to color the six number. This can be calculate with the rule of multiplication as:

2*2*2*2*2*2=64

Because we have 2 options to color every number.

For know the number of ways in which the coloring is factorific, first we need to identify the divisors of each number:

1: the divisor is 1

2: The divisors are 2 and 1

3: The divisors are 3 and 1

4: The divisors are 4, 2 and 1

5: The divisors are 5 and 1

6: The divisors are 6, 3 and 1

From these information we analyse that for made a factorific coloring, is necessary that the number 1 is color blue. Additionally if the number 4 is color blue, the number 2 needs to be color blue and if the number 6 is blue, the number 3 needs to be blue.

So, the number of ways in which we can create a factorfic number is determined by the following cases:

The number 2 is blue and the number 3 is blue: In this case we have 1 option for number 1, one for number 2 and 1 for number 3. Taking into account that the number 2 and 3 are blue, if the number 4 and 6 are blue or red doesn't change the fact that the coloring is going to be factorific. So, we have two options for number 3 and 2 options for number 6. Finally the color of the number 5 is independent of the colors of number 2 and 3, so we also have 2 options for coloring number 5 and the coloring is going to be factorific. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 2 * 2 * 2 = 8

number 1 number 2 number 3 number 4 number 5 number 6

At the same way we can calculate the following cases:

The number 2 is blue and the number 3 is red: If the number 3 is red, the coloring is only going to be factorific is number 6 is red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 2 * 2 * 1 = 4

number 1 number 2 number 3 number 4 number 5 number 6

The number 2 is red and the number 3 is red: If the number 2 and 3 are red, the coloring is only going to be factorific is number 4 and 6 are red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 1 * 2 * 1 = 2

number 1 number 2 number 3 number 4 number 5 number 6

The number 2 is red and the number 3 is blue: If the number 2 is red, the coloring is only going to be factorific is number 4 is red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 1 * 2 * 2 = 4

number 1 number 2 number 3 number 4 number 5 number 6

If we sum all the cases, we obtain 18 ways to make a factorific coloring. So the probability can be calculated as:

$P= \frac{18}{64} = 0.28125$

4 0

3 years ago

What is the simplified form of this expression (8x^2-3x+1/3) - (2x^2-8x+3/5)

irinina [24]

Answer:=6x2+5x + −4/15

Step-by-step explanation:Let's simplify step-by-step.

8x2−3x+13−(2x2−8x+3/5)

Distribute the Negative Sign:

=8x2−3x+13+−1(2x2−8x+3/5)

=8x2+−3x+13+−1(2x2)+−1(−8x)+−1(3/5)

=8x2+−3x+13+−2x2+8x+−3/5

Combine Like Terms:

=8x2+−3x+1/3+−2x2+8x+−3/5

=(8x2+−2x2)+(−3x+8x)+(1/3+−3/5)

=6x2+5x+−4/15

3 0

3 years ago

Jill incorrectly subtracted the two mixed numbers to find how much more blue fabric than purple fabric she should buy. Her work

Pavlova-9 [17]

41-32=9
12-9=3

9 is not equal to 3

6 0

3 years ago