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otez555 [7]
3 years ago
7

Graph by using the slope and the y intercept.

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

1. a) equation of the line :

  • y =  \dfrac{2}{5}x   - 7

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

  • y =  (\dfrac{2}{5}  \times 5) - 7

  • y = 2 - 7

  • =  - 5

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

  • y =  - 3x + 5

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

  • y =(  - 3 \times 1) + 5

  • y =  - 3 + 5

  • y = 2

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

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Sever21 [200]

360 hope that this helped

8 0
3 years ago
2. Evaluate f(x) = 3x+5/x-1<br> at x = 3
pashok25 [27]

Answer

Let f(x) = ax + b

Then

f(x + 1) = a(x + 1) + b

= ax + a + b

Hence, a = 3, and a + b = 5, b = 2

f(-2) = 3(-2) + 2

= -6 + 2

= - 4

f(2x) = 3(2x ) + 2

= 6x + 2

6 0
3 years ago
How do I solve this? Person to help gets brainliest.
REY [17]

Answer:

I believe its C?

Step-by-step explanation:

8 0
2 years ago
simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed
Gnoma [55]

Answer:

\frac{x^{2}  + 19x - 56}{4 {x}^{2}   - 32x}

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

\frac{x + 7}{4x}  +  \frac{5}{x - 8}

=  \frac{(x + 7)(x - 8)}{4x(x - 8)}  +  \frac{5(4x)}{4x(x - 8)}

=  \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)}

=  \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)}

=  \frac{ {x}^{2}  + 19x - 56}{4x(x - 8)}

=  \frac{ {x}^{2}  + 19x - 56}{4 {x}^{2}  -  32x}

7 0
2 years ago
Pleaseee helpppppp ​
AleksAgata [21]

Option A: All real numbers is the right answer

Step-by-step explanation:

First of all, let us define domain

Domain is the set of all inputs to a function on which the function is defined

So

Given function is:

f(x) = 5.3^x

The given function will not be undefined for any value of x as there is no denominator which will make the function approach infinity

Hence,

Option A: All real numbers is the right answer

Keywords: Domain, functions

Learn more about functions at:

  • brainly.com/question/4786449
  • brainly.com/question/4793866

#LearnwithBrainly

6 0
3 years ago
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