26' long painting is how many yards long

Answers

Answer 1

Answer: 26' long means 26 feet.

1 yard is equal to 3 feet

convert feet to yards

26 feet * 1yard/3feet = 26yard/3 = 8.67 yards or 8 2/3 yards

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Use the rational roots theorem to select values that are possible zeros of the function

Answers

Rational root theorem is used to determine the possible roots of a function.

The potential roots are: -3 and 3/2

The function is given as:

$\mathbf{f(x) = 6x^3 - 2x^2 + x+3}$

For a function,

$\mathbf{f(x) = px^n +.........+q}$

The potential roots are:

$\mathbf{Root = \pm(Factors\ of\ q)/(Factors\ of\ p)}$

So, we have:

$\mathbf{q = \pm 1, \pm 3}$ ---- factors of 3

$\mathbf{p = \pm 1, \pm 2, \pm 3, \pm 6}$ ---- factors of 6

The potential roots are:

$\mathbf{Root = (\pm 1, \pm 3)/(\pm 1, \pm 2, \pm 3, \pm 6)}$

From the options, the potential roots are:

$\mathbf{Root = -3, (3)/(2)}$

Read more about rational roots theorem at:

brainly.com/question/9353378

Answer:

-3 and 3/2

Step-by-step explanation:

6x^3 - 2x^2 + x + 3

possible roots are p/q where p = factors of 3 and q are factors of 6

So from the 4 choices possible roots are -3 and 3/2

You take a walk and notice dogs in the dog park. There are a total of 8 small and large dogs. You realize there are 2 more large dogs than small dogs. How many are there of large and small dogs?

Answers

There are 5 large dogs and 3 small dogs

Solution:

Let "S" be the number of small dogs

Let "L" be the number of large dogs

Given that There are a total of 8 small and large dogs

So we can frame a equation as:

number of small dogs + number of large dogs = 8

S + L = 8 ------- eqn 1

You realize there are 2 more large dogs than small dogs

Number of large dogs = 2 + number of small dogs

L = 2 + S -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "L" and "S"

Substitute eqn 2 in eqn 1

S + 2 + S = 8

2S + 2 = 8

2S = 6

S = 3

Substitute S = 3 in eqn 2

L = 2 + 3 = 5

L = 5

Thus there are 5 large dogs and 3 small dogs

Answer:

5 large dogs and 3 small dogs

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints. (6, 4) and (9,9)

Answers

Answer:

15/2, 13/2.

Step-by-step explanation:

Here's a graph as well.

Answer in fraction form = (15/2, 13/2)

Answer in decimal form = (7.5, 6.5)

========================================================

Explanation:

To get the midpoint, we average the two endpoint values. We handle the x and y coordinates separately.

The x coordinates of each point are 6 and 9. They average to (6+9)/2 = 15/2 = 7.5; so you add up the x coordinates and divide by 2.

The y coordinates are handled the same way. Add them to get 4+9 = 13 and then divide by 2 to get 13/2 = 6.5

The midpoint is (15/2, 13/2) = (7.5, 6.5)

-7/9 x 144 vbnbvcrxecvbnbvtcrxercvb

Answers

The first step to solving this expression is to reduce the numbers with 9.
-7 × 16
Now we need to multiply the two numbers together using the Rules of Signs for Multiplication. They state that multiplying a negative and a positive equals a negative: (-) × (+) - (-). Keeping this in mind,, when you multiply the two numbers together you should get -112.
Let me know if you have any further questions
:)

Two of the three sides of a triangle are 20 and 15. Which of the following numbers is not a possible perimeter of the triangle?a. 52
b. 57
c. 62
d. 67 e.72

Answers

Given:
1st side = 15
2nd side = 20
3rd side = ?

We will use a triangle inequality where the 3rd side is greater than the difference of the two sides and less than the sum of the two sides.

20 - 15 < x < 20 + 15
5 < x < 35

If x = 5 ; then the perimeter would be 5 + 15 + 20 = 40
if x = 35, then the perimeter would be 35 + 15 + 20 = 70

So the perimeter is within the range of 40 and 70.

Among the choices, E. 72 is outside the range. Therefore, it is not a possible perimeter of the triangle.

The Sum of 4 times one number and 3 times the second number is 65. The sum if the 2 numbers is 18. What are the numbers and equations you used

Answers

4x + 3y = 65
X + y = 18

When you use elimination, multiply the second equation by -3
4x + 3y = 65
-3X -3y = -54
X = 11

X+y = 18
11 + y = 18
Y = 7

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