Solve for x. 2x+3≥7 OR 2x+9>11

becky is rolling a number cube with the numbers 1 through 6 what is the probability she will roll 4 or 5

Serggg [28]

Probability is desired outcome divided by total outcomes.

There is only 1 four and 1 five on a die. Thus, there are 2 outcomes she wants.

There are 6 sides.

2/6 = 1/3 or 0.33 probability.

5 0

3 years ago

Factoring a quadratic with leading coefficient greater than 1 3n^2+5n+2=0

Alika [10]

The algebraic factor is the multiplication term that can be common to the whole equation thus the factorization form of 3n²+5n+2=0 will be (n + 1)(3n + 2) = 0.

<h3>What is an algebraic factor?</h3>

An algebraic factor is the multiplication of two algebraic terms.

The root of the quadratic equation formed by the algebraic factor is always real.

That term could be in form of summation multiplication or in subtraction.

As per the given quadratic equation,

3n²+5n+2=0

Let's 5n = 2n + 3n

3n²+ (3n + 2n) + 2 = 0

3n² + 3n + 2n + 2 = 0

(3n² + 3n) + (2n + 2) = 0

3n(n + 1) + 2(n + 1) = 0

(n + 1 )(3n + 2) = 0

Hence "The algebraic factor is the multiplication term that can be common to the whole equation thus the factorization form of 3n²+5n+2=0 will be (n + 1)(3n + 2) = 0".

For more about the algebraic factor,

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8 0

10 months ago

The sides of a right triangle form an arithmetic sequence with the difference d. Find the area of an inscribed circle in terms o

pantera1 [17]

Answer:

The sides of a right triangle form an arithmetic sequence with the difference is described below in detail.

Step-by-step explanation:

Let's denominate the first term aa and the obvious difference dd. Therefore, your course enhances:

a, a+d, a+2da, a+d, a+2d

Now, these three terms form the sides of a right triangle. Since a+2da+2d is the highest (considering d > 0), we can state that it is the hypothenuse.

applying the Pythagorean Theorem:

a2+(a+d)2=(a+2d)2a2+(a+d)2=(a+2d)2

a2+a2+2ad+d2=a2+4ad+4d2a2+a2+2ad+d2=a2+4ad+4d2

3d2−a2+2ad=03d2−a2+2ad=0

(3d−a)(d+a)=0(3d−a)(d+a)=0

Therefore, your solutions are

3d=a3d=a

andd=−ad=−a

So if a = 3, d = 1. Therfore, one potential sequence is 3, 4, 5.

Similarly, if a = 6, then d = 2, so another potential sequence is 6, 8, and 10

3 0

2 years ago

There is a triangular garden plot with a side of

andrey2020 [161]

9514 1404 393

Answer:

P = 4z +5

Step-by-step explanation:

The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:

P = z +(z +5) +2z

P = 4z +5

7 0

2 years ago

Please whats the answer?

lorasvet [3.4K]

Answer:

=93

Step-by-step explanation:

 $7 \frac{5}{6} + 5 \frac{1}{9}$ 
Then mutiply 6 x7 with will give you 42 then add 5 which will equal =47

5 0

3 years ago