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3 years ago

Find the y- intercept of f(x)=5x-20

Mathematics

2 answers:

Veronika [31]3 years ago

8 0

Answer:

f(0)=5(0)-20

f(0)= -20

y- intercept is (0,-20)

kondaur [170]3 years ago

5 0

Answer:

f = 5 + -20x-1

Step-by-step explanation:

Simplifying

f(x) = 5x + -20

Multiply f * x

fx = 5x + -20

Reorder the terms:

fx = -20 + 5x

Solving

fx = -20 + 5x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.

f = -20x-1 + 5

Simplifying

f = -20x-1 + 5

Reorder the terms:

f = 5 + -20x-1

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A group of students were surveyed to find out their favorite subject in school. 1/6 chose history and 2/5 chose music. Of the st

weeeeeb [17]

<h3>Answer:</h3>

Number of students who chose history as favorite subject = 25

Number of students who chose music as favorite subject = 60

<h3>Step-by-step explanation:</h3>

Let the total number of students be 's'.

Number of students who chose history as favorite subject = $\frac{1}{6}$ of (Total number of students) = $\frac{1}{6}\times \textrm{s}$ = $\frac{1}{6}\textrm{s}$

Number of students who chose history as favorite subject = $\mathbf{\frac{1}{6}s}$

Number of students who chose music as favorite subjects = $\frac{2}{5}$ of (Total number of students) = $\frac{2}{5}\times \textrm{s}$ = $\frac{2}{5}\textrm{s}$

Number of students who chose music as favorite subjects = $\mathbf{\frac{2}{5}s}$

Number of students who chose neither history nor music as favorite subject = 65

Total number of students = (Number of students who chose history as favorite subject) + (Number of students who chose music as favorite subject) + (Number of students who chose neither history nor music as favorite subject)

$\mathrm{s=\frac{1}{6}s+\frac{2}{5}s+65}$