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2 years ago

What is the y-intercept of the liner function? (y=3x-2)

Mathematics

1 answer:

inysia [295]2 years ago

4 0

The y-intercept of the linear function y = 3x - 2 is -2

<h3>How to determine the y-intercept?</h3>

The function is given as

y = 3x - 2

The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)

As a general rule, linear functions are those functions that have constant rates or slopes

Next, we set x to 0, and calculate y to determine the value of the y-intercept

y = 3(0) - 2

Remove the bracket in the above equation

y = 3 * 0 - 2

Evaluate the product of 3 and 0 i.e. multiply 3 and 0

y = 0 - 2

Evaluate the difference of 0 and -2 i.e. subtract 0 from 2

y = -2

The above means that the value of y when x is 0 is -2

Hence, the y-intercept of the linear function y = 3x - 2 is -2

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The domain of the functions in interval notation is?

sammy [17]

Answer:

the range of a function

Step-by-step explanation:

7 0

3 years ago

For the graph, what is a reasonable constraint so that the function is at least 200?

Anastasy [175]

Answer:

$0\leq x\leq 15$

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one

<em>For the graph below, what should the domain be so that the function is at least 200? graph of y equals minus 2 times the square of x plus 30 times x plus 200 </em>

My answer:

Given the above information, we have:

$y=-2x^2+30x+200$

To make the function is at least 200, it means that:

$y=-2x^2+30x+200$ ≥ 200

<=> $-2x^2+30x$ ≥ 0

<=> x(-2x+30) ≥ 0

This is the product of two numbers hence would be positive only if either both are positive or both are negative

Case I: Both positive

x ≥ 0 and (-2x+30) ≥ 0

<=> 0 ≤ x ≤ 15

Case II: Both negative

Then we get

$x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15$

This is inconsistent as a value cannot be less than 0 and greater than 15

=> our correct answer is $0\leq x\leq 15$

Hope it will find you well.

3 0

3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

mote1985 [20]

Answer:

X=22

Step-by-step explanation:

In a triangle all the angles add up to 180 so you add them all up and get 6x-21+69=180

+21

-69

6x=132 132/6= 22

4 0

2 years ago

Whats the answer to this

dybincka [34]

Answer:

16 Units.

Step-by-step explanation:

Given:

AC = 2 (x-3)
BD = x + 5

THIS CASE ⇒ AC = BD

⇒ Substitute the values

2 (x - 3) = x + 5

⇒ Clear the value of x

2x - 6 = x + 5

2x - x = 5 + 6

x = 11

⇒ Substitute the value of x in any of the equations

11 + 5 = 16

⇒ Length of each diagonal is 16 units.

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1 year ago

Read 2 more answers

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dexar [7]

4/10 the second one is 6/10 why because the number line goes by tens so ten is always under the fraction of the number line

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3 years ago