All categories

3 years ago

Is a linear model or a quadratic model a better fit?

Mathematics

1 answer:

guajiro [1.7K]3 years ago

6 0

A linear function represents a line, a quadratic function represents a parabola.

The dots fit a parabolic behaviour (they are descendent at the beginning, they reach a minimum and then start growing again), so a quadratic model could fit the dots much better than a linear one.

You might be interested in

A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making

Archy [21]

Answer:

The equation to find the profit made by business combined is $x+4x = 10$ .

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by business A be 'x'.

Let the profit (in millions) made by business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

$y =4x$

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.

framing in equation form we get;

$x+y =10\ million$

Substituting the value of y in above equation we get;

$x+4x = 10$

Hence The equation to find the profit made by business combined is $x+4x = 10$ .

On Solving above equation we get;

$5x =10\\\\x =\frac{10}{5} = \$2 \ million$

profit (in millions) made by business A = $\$2 \ million$

profit (in millions) made by business B = $4x =4\times 2 =\$8 \ million$

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0

3 years ago

select the values that make the inequality h/4 greater than or equal to -1 true then write an equivalent inequality in terms of

jok3333 [9.3K]

Answer:

Values that make it equal:

-4, -3, -1, 0, 4

Written equivalent inequality:

h≥−4

Step by Step for the written inequality:

h/4 ≥−1

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

h≥−4

I hope this helps you!! :)

3 0

3 years ago

If θ is an acute angle and sin θ = 2 1 , then cos θ =

ss7ja [257]

First of all i think theres a mistakein the question;
i think it is sin θ = $\frac{1}{2}$

and then sin 30° = $\frac{1}{2}$

thus θ= 30° $\frac{ \sqrt{3} }{2}$

3 0

4 years ago

Help? im confused plss! Find the area of the regular polygon with the given radius or apothem

Snezhnost [94]

Answer:

50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

Alternate solution

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

Additional comment

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

r = a·sec(180°/n)

Another formula uses the apothem directly:

A = n·a²·tan(180°/n)

8 0

2 years ago

What is the sum of 1/4+1/10

IgorLugansk [536]

Answer:

simplify: 14/40

not simplify: 7/20

I don't know if it's right but i'm trying to help :)

5 0

3 years ago