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igomit [66]
3 years ago
11

The sum of three consecutive integers is 108. Which equation would be used to solve this word problem? (HINT: The equation has b

een simplified some...)
Mathematics
2 answers:
Shtirlitz [24]3 years ago
4 0
3 consecutive integers : x, x + 1, x + 2

x + (x + 1) + (x + 2) = 108...ur equation
3x + 3 = 108...ur equation that has been simplified some
Ilia_Sergeevich [38]3 years ago
3 0
The easiest way to solve problems with consecutive integers is set the first as:
1st number =( x-1)
2nd number = x
3rd number = (x+1) [since all are consecutive)

(x-1) + x + (x+1) = 108
3x = 108
x = 36
Obviously you could have set x. the 1st; x+1 the 2nd & x+2 the 3rd & you would reach the same result x =36
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Use Long Division to answer number 4. Please show all work!​
skelet666 [1.2K]

Answer:

2x² + 3x + 4 + (17x + 9) / (x² − 4)

Step-by-step explanation:

Start by setting up the division.  Make sure to write all the coefficients, even the zero ones.

x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7

Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²).  That's 2x²; it'll be the first term in quotient.  Multiply the divisor by 2x²:

2x⁴ + 0x³ − 8x²

Subtract that from the first three terms of the dividend:

3x³ + 4x²

Drop down the next term from the dividend, and start the process all over again.

3x³ + 4x² + 5x

When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.

4 0
3 years ago
In a recent year, 32% of all college students were enrolled part-time. If 8.2 million college students were enrolled part-time t
Yuri [45]

Answer:

26 million

Step-by-step explanation:

8200000 / 0.32 = 25625000

25625000 rounded to nearest million = 26 million

3 0
3 years ago
Which represents where f(x) = g(x)?
son4ous [18]

Answer:

Option (1)

Step-by-step explanation:

Two functions 'f' and 'g' have been graphed in the picture attached.

Both the functions will be equal at the points where the values of these functions are equal.

Those points are the point of intersection of both the functions on the given graph.

At x = -4,

f(-4) = g(-4) = 4

At x = 0,

f(0) = g(0) = 4

Therefore, Option (1) will be the answer.

5 0
3 years ago
...............what is (9x^2-3)^6
Lelu [443]
Step 1. Factor out the common term 3

(3(3 x^{2}-1)^{6}

Step 2. Use <span>Multiplication Distributive Property: </span>(xy)^{a} = x^{a}  y^{a}
<span>
</span>3^{6}(3 x^{2}-1)^{6}
<span>
Step 3. Simplify </span>3^{6} to 729

729(3 x^{2}-1)^{6}

Done!
8 0
3 years ago
Please help geometry
sveta [45]

Answer:

The answer to your question is 11.4 units

Step-by-step explanation:

Data

A (-3, -1)

B ( 0, 3)

C ( 1, 2)

Perimeter = ?

Formula

d = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}

Process

1.- Find the length between the points

dAB = \sqrt{0 + 3)^{2} + (3 + 1)^{2}}

dAB = \sqrt{3^{2}+ 4^{2}}

dAB = \sqrt{9 + 16}

dAB = \sqrt{25}

dAB = 5

dBC= \sqrt{(1 - 0)^{2} + (2 - 3)^{2}}

dBC = \sqrt{1^{2} + (-1)^{2}}

dBC = \sqrt{1 + 1}

dBC = \sqrt{2}

dAC = \sqrt{(1 + 3)^{2} + (2 + 1)^{2}}

dAC = \sqrt{4^{2} + 3^{2}}

dAC = \sqrt{16 + 9}

dAC = \sqrt{25}

dAC = 5

2.- Perimeter

P = AB + BC + AC

P = 5 + \sqrt{2} + 5

P = 10 + \sqrt{2}

P = 10 + 1.42

P = 11.4

7 0
3 years ago
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