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GenaCL600 [577]
2 years ago
15

Please help it would mean so much!! 4x-3(x-2)=21

Mathematics
2 answers:
GaryK [48]2 years ago
8 0

4x-3(x-2)=21

4x-3x+6=21

4x-3x=21-6

x=15

is this right? let's check

4(15)-3(15-2) = 21? yes

dexar [7]2 years ago
7 0

For this case we have the following expression, we must find the value of the variable "x":

4x-3 (x-2) = 21

We apply distributive property to the terms of the parenthesis taking into account that:

- * + = -\\- * - = +\\4x-3x + 6 = 21

We add similar terms:

x + 6 = 21

We subtract 6 on both sides of the equation:

x = 21-6\\x = 15

Now, the value of x is 15

Answer:

x = 15

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While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y ,
Deffense [45]

Answer:

170 heart beat per minute.

Step-by-step explanation:

While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.

So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be

y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)

{Taking the larger integer value}

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Vadim26 [7]

Answer:

12.5 sq. units

Step-by-step explanation:

Divide the blue triangle into two smaller triangles.

The length of their common base = 5 units

The height of the <u>yellow</u> triangle = 2 units

The height of the <u>red</u> triangle = 3 units

The area of the yellow triangle

= (5×2)÷2

= 5 sq. units

The area of the red triangle

= (5×3)÷2

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6 0
2 years ago
40 POINTS! HELP ME. QUICKLY.
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Answer:

Part A: <em>D,E</em>    

Part B:

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7 0
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Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

OR

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0
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Answer:

525

Step-by-step explanation:

25 x 6 = 150;   150 / 2 =75;   75 x 7 = 525

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