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Naddika [18.5K]
3 years ago
15

Write in slope intercept form the equation of a line that has the slope of 1/3 and the y- intercept of 5.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

b is the y intercept

plug your number in

y = 1/3x + 5

You might be interested in
6. Simplify: i) (a + b)(5a – 3b) + (a – 3b)(a – b) ii) (a – b) (a² + b² + ab) – (a + b) (a² + b²– ab) iii) (b² – 49) (b + 7) + 3
Shkiper50 [21]

Step-by-step explanation:

<h2>i).</h2>

(a + b)(5a – 3b) + (a – 3b)(a – b)

Expand each of the terms separately

That's

(a + b)(5a – 3b) = 5a² - 3ab + 5ab - 3b²

= 5a² + 2ab - 3b²

(a – 3b)(a – b) = a² - ab - 3ab + 3b²

= a² - 4ab + 3b²

<u>Add the terms</u>

That's

5a² + 2ab - 3b² + a² - 4ab + 3b²

<u>Group like terms</u>

5a² + a² + 2ab - 4ab - 3b² + 3b²

We have the answer as

<h2>6a² - 2ab</h2>

<h2>ii)</h2>

(a – b) (a² + b² + ab) – (a + b) (a² + b²– ab)

Expand the terms separately

<u>For (a – b) (a² + b² + ab)</u>

Using the rule

x³ - y³ = (x - y)( x² + xy + y²) expand the expression

So we have

(a – b) (a² + b² + ab) = a³ - b³

<u>For (a + b) (a² + b²– ab)</u>

Using the rule

x³ + y³ = (x + y)( x² - xy + y²) expand the expression

We have

(a + b) (a² + b²– ab) = a³ + b³

Subtract the terms

That's

a³ - b³ - (a³ + b³)

Remove the parenthesis

a³ - b³ - a³ - b³

Group like terms

a³ - a³ - b³ - b³

We have the final answer as

<h2>-2b³</h2>

<h2>iii)</h2>

(b² – 49) (b + 7) + 343

Expand the terms

That's

b³ + 7b² - 49b - 343 + 343

We have the final answer as

<h2>b³ + 7b² - 49b</h2>

Hope this helps you

6 0
3 years ago
What is the volume of the cylinder below?
nirvana33 [79]
What is the 4th options
4 0
2 years ago
Read 2 more answers
At a large university, A total of 5,400 students are enrolled in a math class this semester. This represents 60% of the total nu
Brut [27]

Answer:

c. 9,000 students

Step-by-step explanation:

Step 1: Set up the equation

  • \frac{60}{100} x = 5400

Step 2:  Simplify both sides of the equation.

  • \frac{3}{5} x = 5400

Step 3: Multiply both sides by 5/3.

  • \frac{5}{3} *\frac{3}{5} x = \frac{5}{3}  * 5400
  • x = \frac{27000}{3}
  • x = 9,000

Therefore, the correct answer is c. 9,000 students.

5 0
3 years ago
Use the graph to write a linear function that relates y to x<br> NO LINKS THANK YOU
kipiarov [429]

Answer:

I uploaded a file hosting link for your question.

See below for more details.

Step-by-step explanation:

m=\frac{change(y)}{change(x)}

=\frac{10-2}{6-0}

=\frac{8}{6}

m=\frac{4}{3}

6 0
2 years ago
Read 2 more answers
Order 7\8,0.98, 8/9 from least to greatest
Aleks04 [339]

.875 .88 .98

7/8, 9/9, .98 is your answer from least to greatest!

4 0
3 years ago
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