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3 years ago

Write an equation in slope-intercept form for the line that satisfies the following condition.

Mathematics

1 answer:

mihalych1998 [28]3 years ago

7 0

Answer:

y=8/3x-34/3

Step-by-step explanation: If the line is parallel to y=8/3x+7, then the slope must be 8/3. So, we can eliminate A and B. Now, let's take C, and plug in (8, 10) into the equation. We end up with 10=64/3-34/3. 64-34=30. 30/3=10. 10 = 10. So, C is the correct answer. No need to check for D.

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Which of the following is the quotient of the rational expressions shown below? 2x-3/5x^2 divided by x-5/3x-1

Kamila [148]

The expression in fraction form will be:

$\frac{ \frac{2x-3}{5 x^{2} } }{ \frac{x-5}{3x-1} }$

The denominator can be multiplied to the numerator by taking its reciprocal as shown below:

$\frac{2x-3}{5 x^{2} } * \frac{3x-1}{x-5} \\ \\ 
= \frac{(2x-3)(3x-1)}{5 x^{2}(x-5) }$

There are no common factors, so the expression can not be simplified any further.

6 0

3 years ago

Read 2 more answers

(100 POINTS!!!!!!) <br> PLEASE DO NOT ANSWER THE QUESTION, JUST EXPLAIN HOW I CAN GET THE ANSWER

ipn [44]

Answer:

-2, 7

Step-by-step explanation:

I dont know I just know the answer i am only in 5th grade plz have mercy

6 0

2 years ago

Could someone help me in this problem? <br><br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%203%7D%7B14%7D%20%20%3D%

dalvyx [7]

Answer:

The answer is $x=3$ .

Step-by-step explanation:

Given:

$\frac{x-3}{14}=0$

Multiply by 14 on both the side, it gives

$\frac{x-3}{14}\times 14=0\times 14\\ x-3=0$ .

Now we add 3 on both sides.

$x-3+3=0+3\\x=3$

Therefore, the answer is $x=3$ .

6 0

3 years ago

The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f

elixir [45]

Answer:

$g(x) = 30\cdot x +40$ ; $a \approx 1.898$ , $k = 40$ .

Step-by-step explanation:

The resultant function is obtained by multiplying $f(x)$ by a real number $k$ . That is:

$g(x) = k \cdot f (x)$

If $k = 5$ and $f(x) = 6\cdot x + 8$ , then $g(x)$ is:

$g(x) = 5\cdot (6\cdot x + 8)$

$g(x) = 30\cdot x +40$

Given that presence of the expression $g(x) = 6^{a}\cdot x + k$ , then:

$6^{a} = 30$ and $k = 40$

The value of a is obtained by applying the definition of logarithms:

$a = \log_{6}30$

$a \approx 1.898$

Finally, the value of k is found by direct comparison:

$k = 40$

6 0

3 years ago

Find the value of x. Round to the nearest tenth. 37 17.3 units

dlinn [17]

Answer:

x ≈ 21.7

I rounded to the nearest tenth because the values are given in tenths. The first few digits of x are below if you are rounding to something else, as the image is cut out.

Step-by-step explanation:

(It will not let me post, so I've attached a screenshot of my explanation:)

7 0

3 years ago