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3 years ago

Why is 4X +5 a linear function Why is y=X2 a nonlinear function

1 answer:

4 0

y = 4x+5 is in the form y = mx+b which is slope intercept form. Anything in y = mx+b form is linear. It graphs out a straight line.

Contrast this with y = x^2 which is nonlinear because it graphs a curve that isnt a straight line. All quadratics like this graph out a parabola which resembles a bowl shaped curve.

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Identify the vertex and directrix of each. y = x2 + 2x - 4

sergey [27]

Answer:

See below

Step-by-step explanation:

Convert equation to vertex form $y=(x-h)^2+k$ by completing the square:

$y=x^2+2x-4$

$y+5=x^2+2x-4+5$

$y+5=x^2+2x+1$

$y+5=(x+1)^2$

$y=(x+1)^2-5$

Vertex:

$(h,k)\rightarrow(-1,-5)$

Directrix:

$y=k-\frac{1}{4a}\rightarrow y=-5-\frac{1}{4(1)}\rightarrow y=-\frac{21}{4}$

8 0

2 years ago

Can someone tell me the answer to me pls I have to be done in 20 minutes

Feliz [49]

Answer:

x = 9.25

Step-by-step explanation:

It is given that ABC is an isosceles triangle.

m∠A = 43° and m∠C = (6x+13)°

We need to find the value of x.

The sum of a triangle is equal to 180°.

∠A is the vertex angle. For a triangle sum of angle of triangle is equal to 180°

∠A+∠B +∠C=180

43+∠B+(6x+13)°=180

6x+∠B+56=180

6x+∠B = 124

∠B =124-6x

For an isosceles triangle,

∠B = ∠C

124-6x = (6x+13)

124-13 = 6x+6x

111 = 12x

x = 9.25

So, the value of x is 9.25.

7 0

3 years ago

If x and y vary directly, and x = 12 when y = 4, what is the value of x when y = 1 ?

zvonat [6]

When y = 4, x = 12...that means x is 3 times bigger than y. So if y = 1, then x will now = 1 x 3 = 3

8 0

3 years ago

Help Quick Please! A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Look at each drink mix.

GuDViN [60]

Answer:

The ratio of cups of white paint to cups of green paint is 2 to 4.

For every cup of green paint, there are two cups of white paint.

The ratio of cups of green paint to cups of white paint is 4:2.

For every cup of white paint, there are two cups of green paint.

The ratio of cups of green paint to cups of white paint is 2:4.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The table shows the results of an experiment in which the spinner shown above was spun 50 times. Find the experimental probabili

torisob [31]

Answer:

$P(x < 4) = \frac{9}{50}$

Step-by-step explanation:

Given

$n(S) = 50$

See attachment for distribution

Required

$P(x < 4)$

This is calculated as:

$P(x < 4) = \frac{n(1) + n(2) + n(3)}{n(S)}$

Using the data on the frequency distribution table, we have:

$P(x < 4) = \frac{4 + 2 + 3}{50}$

$P(x < 4) = \frac{9}{50}$

5 0

3 years ago