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3 years ago

What are the intercepts of the line?

Mathematics

2 answers:

dimulka [17.4K]3 years ago

7 0

There is an X intercept at x=-8
There is a y intercept at y=4 (0,4)

attashe74 [19]3 years ago

4 0

Hello! An intercept is the where the line crosses when either x = 0 or y = 0. Where x = 0, the line crosses through the y-axis at 4. Where y = 0, the line crosses through the x-axis at -8. The intercepts of the line are (0, 4) and (-8, 0).

You might be interested in

Which expression is the coefficient of the n term -1

Elan Coil [88]

Answer:

C. -2n² - n + 5

Step-by-step explanation:

In expression C, the coefficient of the n term is -1;

The expression in choice C is given as:

-2n² - n + 5

The coefficient is the number before a variable;

For n², the coefficient is -2

for n, the coefficient is -1

7 0

3 years ago

Plz help ill give you brainlist to yuo

Wittaler [7]

The coefficient is a number that is placed in front of the variable for which It is being multiplied to. In this case it would be 5.

Constants are values that can be thought of as the opposite of coefficients in that they do not have any other variables or letters and thus they include only a number.

Their value does not change.

8 0

3 years ago

Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP)

rusak2 [61]

Answer:

a.) Marginal Product (MP) = 120

b.) Average Product = 126

c.) At x = 12, the output is maximum.

d.) After 5 levels of inputs diminishing returns set in.

Step-by-step explanation:

Given that,

Q = 72x + 15x² - x³

a.)

Marginal Product is equal to

$\frac{dQ}{dx} = 72 + 30x - 3x^{2}$

At x = 8

MP = 72 + 30(8) - 3(8)²

= 72 + 240 - 192

= 120

∴ we get

Marginal Product (MP) = 120

b.)

Average Product is equals to

= $\frac{Q}{x}$

= 72 + 15x - x²

At x = 6

Average Product = 72 + 15(6) - 6²

= 72 + 90 - 36

= 126

∴ we get

Average Product = 126

c.)

For Maximizing Q,

Put $\frac{dQ}{dx} = 0$

⇒72 + 30x - 3x² = 0

⇒24 + 10x - x² = 0

⇒x² - 10x - 24 = 0

⇒x² - 12x + 2x - 24 = 0

⇒x(x - 12) + 2(x - 12) = 0

⇒(x + 2)(x - 12) = 0

⇒x = -2, 12

As items can not be negative

∴ we get

At x = 12, the output is maximum.

d.)

Now,

For Diminishing Return

$\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0$

⇒30 - 6x < 0

⇒-6x < -30

⇒6x > 30

⇒x > 5

∴ we get

For x > 5, the diminishing returns set in

i.e.

After 5 levels of inputs diminishing returns set in.

3 0

3 years ago

A fresh cup of coffee is placed on a table to cool. The table below shows the relationship between the temperature of the coffee

Anon25 [30]

y = 200 * (0.75) ^x

(Please mark me brainliest! Thank you in advance!)

8 0

3 years ago

The tempature is -3 degress.The temperature is expected to decrease 2.5 degress each hour until the temperature reaches -18 degr

Andrews [41]

We can set this problem up as an algebraic equation, which we can then solve to find our answer.

We start at -3. So we can start our equation with that:

$-3$

However, this doesn't represent any change in temperature, just that we start at -3. To show change, we will use the variable $x$ , where $x$ stands for the number of hours. Each hour accounts for a change of -2.5 in degrees, meaning that we must multiply our $x$ by -2.5. We can now add this term into our equation:

$-3 - 2.5x$

We are trying to find when we will reach -18 degrees, so we will set our entire equation equal to -18 and solve:

$-3 - 2.5x = -18$

$-2.5x = -15$

$x = 6$

It will take us 6 hours, or choice A.

6 0

3 years ago