What are the terms in the expression, 2 + 6 + 10b

A 5 hour conference booking is required for an office party for 120 people which includes a buffet dinner. Hotel 5 has recently

SpyIntel [72]

Answer: I think that the cost now from hotel 5 would be $15.00.

Step-by-step explanation:

5 hours = $5.00

10 hours = $10.00

15 hours = $15.00

20 hours = $20.00

25 hours = $25.00

5 0

2 years ago

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)

Alenkasestr [34]

Answer: $6x^2+11$

Step-by-step explanation:

Given the polynomial of degree 3:

$24x^3 - 54x^2 + 44x -99$

You can observe make two groups or two terms each:

$(24x^3 + 44x) - (54x^2 + 99)$

The Greatest Common Factor (GCF), is the highest number that divides into two or more numbers without leaving remainder.

You can observe that the GCF of both set are factored out ( $4x$ and $9$ ), then, you can find the common factor that is missing from both sets of parentheses with this procedure:

$(\frac{24x^3}{4x}+\frac{44x}{4x})-(\frac{54x^2}{9}+\frac{99}{9})=(6x^2+11)-(6x^2+11)$

You can observe that the common factor that is missing from both sets of parentheses is:

$6x^2+11$

3 0

1 year ago

Ben used 325 centimeters of ribbon to trim banners he made. How many meters of ribbon did he use?

velikii [3]

Answer:

the answer would be 3.25 meters

3 0

1 year ago

Read 2 more answers

Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units. Which statements bes

valentinak56 [21]

Answer:

<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>

Step-by-step explanation:

Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units

From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.

By the definition of rhombus, diagonals meet at right angles.

Implies that PQ = QA

x+2 = 3x - 14

x-3x=-14-2

-2x=-16

2x = 16

dividing by 2 on both sides, we will get,

$x =\frac{16}{2}$

<h3>∴ x=8</h3><h3>Since Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles we can equate x+2 = 3x-14 to find the value of x.</h3>

The line segment $\overrightarrow{PA}=\overrightarrow{PQ}+\overrightarrow{QA}$

$\overrightarrow{PA}=x+2+3x-14$

$=4x-12$

$=4(8)-12$ ( since x=8)

$=32-12$

$=20$

<h3>∴ $\overrightarrow{PA}=20$ units</h3>

3 0

2 years ago

Rewrite the given expression in the form 3^u where u is a constant or an algebraic expression.

lawyer [7]

Simplifying the given expressions we proceed as follows:
(5sqrt3)^x
=5^x*(3^1/2)^x
=5^x*3^x/2
=5^x3^u
where u=x/2

(1/2)^(x-3)
=1/2^(x-3)
=2^-(3-x)
=2^u
where u=-(3-x)

9/3sqrt(3)
=3/(3)^(1/2)
=3(3)^(-1/2)

16/(3sqrt (2^x))
=1/3*(2^4*2^(-x/2))
=1/3*2^(4-x/2)
=1/3*2^u
where:
u=4-x/2

8 0

1 year ago

Read 2 more answers

What are the terms in the expression, 2 + 6 + 10b - 8a?