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Snezhnost [94]
3 years ago
11

(3 x 7) + (3 x 5) is the same as

Mathematics
1 answer:
Lena [83]3 years ago
5 0

678.987Answer:

Step-by-step explanation:

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How many different seven-letter sequences can be formed from the letters a, a, a, a, a, b, c?
Kaylis [27]

If b is in the first position then c can be in any 1 of the remaining 6 positions.

If we start with ab then the letter c can be in any one of 5 positions and  if we have aab there are 4 possible positions for c and so on.

So the total number of possible sequences where b comes first = 6+5+4+3+2+1 =  21.

The same argument applies when c comes before b  so that gives us 21 ways also.

So the answer is 2 *21 = 42 different sequences.

A more direct way of doing  this  is to use factorials:-

answer = 7! / 5!     =  7 * 6 = 42.

 ( We divide by 5!   because of the 5 a's.)

4 0
3 years ago
Which function has a range of {yly < 5}?
Alexeev081 [22]

Answer:

f(x) = -(x-4)^2 + 5

Step-by-step explanation:

The function f(x) = -(x-4)^2 + 5 is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.

Proving that f(x) = -(x-4)^2 + 5 \le 5 for all x:

x^2 \ge 0 \Rightarrow (x-4)^2 \ge 0 \Rightarrow -(x-4)^2 \le 0 \Rightarrow -(x-4)^2 + 5 \le 5.

8 0
4 years ago
3x − 2y = 18<br> y = 2x − 13
jenyasd209 [6]

Answer:

x = - 8

3x - 2y = 18 is the same as 3x - (2x - 13 times 2) = 18

Then I used an algebra site for the rest.

It should be x = - 8

3 0
2 years ago
Read 2 more answers
Solve each question using square root property<br><br><br> (5x-1)^2=16
Goshia [24]

Answer:

(5x-1)^2=16

Step-by-step explanation:

7 0
3 years ago
Measure of Angle 1 is 5x.<br> Measure of Angle 3 is x-24.<br><br> What is the measure of Angle 1?
olga55 [171]

Answer:

The answer to your question is:  30°

Step-by-step explanation:

Data

m∠ 1 = 5x

m∠ 3 = x - 24

Process

m ∠ 1 = m ∠ 3 because they are vertical angles

            5x = x - 24

            5x - x = 24

            4x = 24

            x = 24 / 4

            x = 6

Angle 1 = 5(6)

            = 30°

4 0
3 years ago
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