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cricket20 [7]
2 years ago
8

Find the slope of the following points

Mathematics
1 answer:
Ierofanga [76]2 years ago
5 0

Answer:

24) -1

25) indefinite/infinite

26) indefinite/infinite

27) 7/3

Step-by-step explanation:

24)

\frac{4-2}{-3+1}\\= 2/-2\\= -1\\

25)

\frac{10+2}{5-5}\\\\= \frac{12}{0}

= indefinite/infinite

26)

indefinite/infinite

27)

\frac{16-9}{11-8}\\\\= \frac{7}{3}\\

<em>Feel free to mark this as brainliest! :D</em>

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Why is the answer B?
Radda [10]

Remark

Whatever the original price, he gets 70% in the first instance.

He gets 80% in the second instance.

He gets 90% in the third instance

His total income is 240 dollars.

Let the original price be x

Equation

70%x + 80%x +90%x = 240

70% = 0.7 ; 80% = 0.8 ;90% = 0.9

Solution

0.7x + 0.8x + 0.9x = 240 Take out x as a common factor and add the decimals.

x (0.7 + 0.8 + 0.9) = 240

2.4x = 240 Divide both sides by 2.4

x = 240/2.4

x = 100

So the watches should have brought in 3*100 = 300 dollars.

He only brought in 240 dollars.

He lost 300 - 240 = 60 dollars.

The answer is B.

7 0
2 years ago
A function f(x)=3x+12.
seraphim [82]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2822258

_______________


•  Function:   f(x) = 3x + 12.


A.  Finding the inverse of f.

The composition of f with its inverse results in the identity function:

(f o g)(x) = x

f[ g(x) ] = x

3 · g(x) + 12 = x

3 · g(x) = x – 12

              x – 12
g(x)  =  ⸺⸺
                 3

               x 
g(x)  =  ⸺  –  4    <———    this is the inverse of f.
               3

________


B.  Verifying that the composition of f and g gives us the identity function:

•  \mathsf{(f\circ g)(x)}

\mathsf{=f\big[g(x)\big]}\\\\\\ \mathsf{=3\cdot \left(\dfrac{x}{3}-4\right)+12}\\\\\\&#10;\mathsf{=\diagup\hspace{-7}3\cdot \dfrac{x}{\diagup\hspace{-7}3}-3\cdot 4+12}\\\\\\&#10;\mathsf{=x-12+12}\\\\&#10;\mathsf{=x\qquad\quad\checkmark}


and also

•  \mathsf{(g\circ f)(x)}

\mathsf{=g\big[f(x)\big]}\\\\\\ \mathsf{=\dfrac{f(x)}{3}-4}\\\\\\ \mathsf{=\dfrac{3x+12}{3}-4}\\\\\\&#10;\mathsf{=\dfrac{\diagup\hspace{-7}3\cdot (x+4)}{\diagup\hspace{-7}3}-4}\\\\\\&#10;\mathsf{=x+4-4}\\\\&#10;\mathsf{=x\qquad\quad\checkmark}

________


C.  Since f and g are inverse, then

f(g(– 2))

= (f o g)(– 2)

= – 2          <span>✔
</span>

•  Call h the compositon of f and g. So,

h(x) = (f o g)(x)

h(x) = x


As you can see above, there is no restriction for h. Therefore, the domain of h is R (all real numbers).


I hope this helps. =)

5 0
3 years ago
Through:(5,1), parallel to y =1/5x-4
andrew-mc [135]

If the line is parallel to y=1/5x-4, the line must have the same slope.

So, the slope of your line is 1/5.

Now we need to find the y intercept. We should use the point given.

y=mx+b

1=1/5(5)+b

b=0

Equation: y=1/5x

3 0
3 years ago
Read 2 more answers
Identify and label each of the mathematical properties below.
vazorg [7]

Answer:

1. Commutative

2. Associative

3. Identity

4.Distributive

5. Identity

6. Associative

7. Commutative

8. Identity

9. Identity

5 0
3 years ago
Simplify 1/2 / 5/8 + 1/4
geniusboy [140]

Answer: 1 1/20

Step-by-step explanation:

1/2 / 5/8 + 1/4

=8/10 +1/4

=21/20

=1 1/20

4 0
2 years ago
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