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djyliett [7]
3 years ago
5

Dose the solution to 4(3x + 2) = 4(2x + 3) + 4x have a infinite solution, no solution, or one solution ?

Mathematics
2 answers:
diamong [38]3 years ago
6 0
No solution because 12x + 8 does not equal 12x + 12
svet-max [94.6K]3 years ago
4 0
Well I got
X=8

Work
4(3x+2)=4(2x+3)+4x
12x+8=8x+12+4x
-8x -8x
4x+8=12+4x
-4x -4x
X+8=12
-8 -8
X=8
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Can anyone show me the steps and answer?
valina [46]

Answer:

  (-∞, 3) ∪ (3, 4) ∪ (4, ∞)

Step-by-step explanation:

<u>Steps</u>:

1. Read and understand the question. Here, you're being asked for the domain of a rational function, one with a 2nd-degree polynomial in the denominator. The domain is the set of x-values for which the function is defined.

2. Understand that the function will be undefined when the denominator is zero, so to answer the question, you must find the values of x that make the denominator zero.

3. Use any of the methods you have been taught to determine the zeros of the denominator polynomial. For this one, it is convenient to factor it:

  x² -7x +12 = (x -3)(x -4)

The values of x that make this zero are 3 and 4, so these values are excluded from the domain.

4. Write an expression in interval notation that includes all real numbers except 3 and 4. That is, you want to translate this to interval notation:

  (-∞ < x < 3) ∪ (3 < x < 4) ∪ (4 < x < ∞)

Using what you know about interval notation, you write it as ...

  (-∞, 3) ∪ (3, 4) ∪ (4, ∞)

8 0
3 years ago
67.77759 rounded to nearest meter
AlekseyPX

Answer:

68

Step-by-step explanation:

0.7 rounds to 1 so add 1 to 67 to get 68

7 0
3 years ago
Read 2 more answers
PLEASE HELP!
LuckyWell [14K]

Answer:

A

Step-by-step explanation:

since 3 + 12 is 15

8 0
2 years ago
A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
What is seven and one fifth minus four and five eighths?<br> 01 7/8<br> 2 23/40<br> 3 3/8<br> 4 1/4
dalvyx [7]

Answer:

(7+1÷5)−(4+5÷8) = 2 23/40 B

Step-by-step explanation:

7 1/5 - 4 5/8

8 0
2 years ago
Read 2 more answers
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