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nikklg [1K]
3 years ago
13

Which rational expression has a value of 0 when x = 2 ? A) 7x -5/x2 + 10 B) -3x +6/8x-9 C) -5x + 8 / x-2

Mathematics
2 answers:
shepuryov [24]3 years ago
7 0

answer for this question is (b) - 3 x + 6 x /8x- 9

nekit [7.7K]3 years ago
3 0
<h2>Answer:</h2>

Option: B is the correct answer.

B)     \dfrac{-3x+6}{8x-9}

<h2>Step-by-step explanation:</h2>

We are asked to find the expression which gives the value zero when we substitute x=2.

Hence, we will check each of the options by putting x=2.

A)

\dfrac{7x-5}{x^2}

when x=2 we have:

\dfrac{7\times 2-5}{2^2}\\\\=\dfrac{14-5}{4}\\\\=\dfrac{9}{4}\neq 0

Hence, option: A is incorrect.

B)

\dfrac{-3x+6}{8x-9}

when x=2 we  have:

=\dfrac{-3\times 2+6}{8\times 2-9}\\\\=\dfrac{-6+6}{16-9}\\\\=\dfrac{0}{7}\\\\=0

Hence, option: B is correct.

C)

\dfrac{-5x+8}{x-2}

when we substitute x=2

we observe that the denominator is zero but the numerator is non-zero.

Hence, x=2 is a excluded point of the rational expression.

Hence, option: C is incorrect.

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You are given the following system.x=2y+42x-3y=11 What method would you use to solve this system?
qwelly [4]

Answer:

substitution

Step-by-step explanation:

We assume the two equations are ...

  • x = 2y+4
  • 2x -3y = 11

You are given an expression for x. Using that in the second equation will result in an immediate solution for y.

... 2(2y+4) -3y = 11 . . . . . substituting 2y+4 for x

.. y +8 = 11

... y = 3

... x = 2·3 +4 = 10

The solution is (x, y) = (10, 3)

7 0
4 years ago
Simplify the expression. Write your answer as a power.
sveta [45]

Step-by-step explanation:

\twoheadrightarrow \:  \:  \sf{ {( - 4)}^{3} \cdot{( - 4)}^{7}}

As we know that,

\odot \:   \sf{ {a}^{n} \cdot{a}^{m} = {a}^{n + m}  }

So,

\twoheadrightarrow \:   \:  \sf{ {( - 4)}^{3 + 7} }

\twoheadrightarrow \:   \:  \sf{ {( - 4)}^{10} }

8 0
3 years ago
Read 2 more answers
Addie walked 2 1/2 miles in 45 minutes. Suzie covered 2 2/5 miles in 2/3 of an hour.
N76 [4]

Answer:

Suzie's speed was 3.6 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s ----> the speed in mph (miles per hour)

x ----> the distance in miles

y ----> the time in hours

so

s=\frac{x}{y}

Find Suzie's speed

we have

x=2\frac{2}{5}\ mi

y=\frac{2}{3}\ h

substitute

s=2\frac{2}{5}:\frac{2}{3}

Convert mixed number to an improper fraction

2\frac{2}{5}=2+\frac{2}{5}=\frac{2*5+2}{5}=\frac{12}{5}

substitute

s=\frac{12}{5}:\frac{2}{3}=\frac{36}{10}=3.6\ mph

3 0
3 years ago
 need the answer asap
Mama L [17]
F(x)=5x^2-70x+258
Solving by completing square methods gives us:
5x^2-70x=-258
x^2-14x=-51.6
c=(b/2a)^2
c=(-14/2)^2
c=49
x^2-14x+49=-51.6+49
(x-7)(x-7)=-2.6
(x-7)^2=-2.6
multiplying through by 5 you get:
5(x-7)^2+13=0
The answer is:
A] <span>5(x − 7)2 + 13; The minimum cost to produce the product is $13. </span>
7 0
3 years ago
If a function, f(x) is shifted to the left 4 unit(s), what function represents the transformation? A. f(x) + 4 B. f(x-4) C. f(x+
romanna [79]
Letter D will be your answer. So, the answer is f(x)-4.
6 0
3 years ago
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