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Iteru [2.4K]
3 years ago
12

Factor: 462 - 12b + 9

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:3(154-4b+3)

Step-by-step explanation:462/3=154.  -12b/3=-4b.   9/3=3

3(154-4b=3)

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In a school of 145 students, each was asked to choose one or more activities from sport, music and drama.76 students choosr spor
GrogVix [38]

Answer:

100 students chose all three

Step-by-step explanation:

first make a row for each subject and put how many students chose said subject. then subtract the number of students that chose both from the total amount of a subject

hope this helped

4 0
3 years ago
Neep help pls, what is the answer????
saveliy_v [14]

Answer:

No, According to triangle Inequality theorem.

Step-by-step explanation:

Given:

Length given are 4 in., 5 in., 1 in.

We need to check whether with these lengths we can create triangular components.

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

These must be valid for all three sides.

Hence we will check for all three side,

4 in + 5 in > 1 in. (It is a Valid Condition)

1 in + 5 in > 4 in. (It is a Valid Condition)

4 in + 1 in > 5 in. (It is not a Valid Condition)

Since 2 condition are valid and 1 condition is not we can say;

A triangular component cannot be created with length 4 in, 5 in, and 1 in by using triangle inequality theorem (since all three conditions must be valid).

6 0
3 years ago
If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false
Svetllana [295]

Answer:

The false choices are A, C, and E

Step-by-step explanation:

Let's make an example:

p=1

q=2

s=sqrt(3)

t=sqrt(6)

Since pq=1*2=2, the answer is rational and A is false.

Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.

Since p/q=1/2=0.5, the answer is rational and C is false.

Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.

Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.

4 0
3 years ago
Please help show that the following are TRUE.
mafiozo [28]

Answer:

  see below

Step-by-step explanation:

The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...

  sum = a1/(1 -r)

Applying this to the given series, we get ...

a. sum = 5/(1 -3/4) = 5/(1/4) = 20

b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)

_____

The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...

  S -rS = a1

  S = a1/(1 -r)

7 0
3 years ago
The radius of a circle is 8 cm<br> Calculate the circumference of the circle <br> [Use pi r = 3.1]
Murrr4er [49]

Answer:

Radius is 8 cm, this means that the diameter is 16 cm. the circumference formula is 2(pie)R     2x3.14xRadius... Your answer is 50.265CM

Step-by-step explanation:


3 0
3 years ago
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