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spayn [35]
3 years ago
5

What is the slope of a line that is parallel to 6x+3y=-9

Mathematics
2 answers:
Vlad [161]3 years ago
7 0
The answer to your question is-2
Anna11 [10]3 years ago
6 0

6x+3y=-9

3y = -6x - 9

y = -2x - 3 ; This line has slope = -2


Parallel lines, slope is the same so the slope of a line that is parallel to

6x+3y = - 9 is also -2


Answer

-2

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The one-to-one functions g and h are defined as follows
Debora [2.8K]

Answer:

g^-^1(x)=-8

h^-^1(x)=\frac{x-4}{3}

(h^-^1 \ o\ h)(-3)=-3

Step-by-step explanation:

When given the following functions,

g=[(-2,-7),(4,6),(6,-8),(7,4)]

h(x)=3x+4

One is asked to find the following,

1. Question 1

g^-^1(4)

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

g^-^1(4)

g(4)=6\\g(6)=-8\\g^-^1(4)=-8

2. Question 2

h^-^1(x)

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)

h^-^1(x)=\frac{x-4}{3}

3. Question 3

(h^-^1 \ o\ h)(-3)

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function (h^-^1) and simplify. Then substitute (-3) into the result.

h^-^1\ o\ h

\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x

Now substitute (-3) in place of (x),

=-3

8 0
2 years ago
What is the slope of the line ? Please answer quick .
lilavasa [31]

Answer:

slope:   3

equation of the line:  y=3x+4

Step-by-step explanation:

i hope this helps :)

4 0
2 years ago
What is 1/2(x+14) because i am having trouble solving it and no calculator has been able to help me also.
ivann1987 [24]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\frac{1}{2}x+7

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\boxed{\text{Simplifying the equation...}}\\\\\frac{1}{2}(x+14)\\------------\\\rightarrow \frac{1}{2}*x = \frac{1}{2}x\\\\\rightarrow\frac{1}{2}*14=7\\\\\rightarrow     \frac{1}{2}(x+14)= \boxed{\frac{1}{2}x+7}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
2 years ago
What is the scale factor in the dilation?
Likurg_2 [28]
Is one half correct
8 0
3 years ago
Read 2 more answers
In the following proportion, what does z equal?<br><br> 3/7 = 15/z
NARA [144]

3/7 = 15/z

using cross products

3z = 7*15

3z = 105

divide by 3

z = 35

7 0
3 years ago
Read 2 more answers
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