All categories

3 years ago

Find the x and y intercepts of the following function. g(x)=x^2-5x-84

Mathematics

1 answer:

Ahat [919]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

To find the y- intercept let x = 0 in the function

g(0) = 0 - 0 - 84 = - 84 ← y- intercept

To find the x- intercepts let y = 0, that is

x² - 5x - 84 = 0

To factor the quadratic

Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term

The factors are - 12 and + 7, since

- 12 × 7 = - 84 and - 12 + 7 = - 5, thus

(x - 12)(x + 7) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

x + 7 = 0 ⇒ x = - 7

x- intercepts are x = - 7 and x = 12

You might be interested in

What are like terms? Provide an example with your description. Choose the correct answer below. A. Like terms are terms that ha

ExtremeBDS [4]

Answer:

Option C.

Step-by-step explanation:

We need to find the correct definition of like terms.

Like terms :Two or more terms are called like terms if they have the same variables and same powers.

For example : 4xy and 9xy are like terms.

Option A is incorrect because 3x and 3 are not like terms.

Option B is incorrect because 6x and 9 are not like terms.

Option C is correct because like terms are terms that have the same variable factors as well as the same number of factors of each type. For example, 3x and 5x are like terms.

Option D is incorrect because 3x and 5 are not like terms.

Therefore, the correct option is C.

8 0

3 years ago

The surface area of the prism is _____ square units.

jasenka [17]

Here is the equation to find that answer A=bh+2ls+ib i got it off line if its not right im sory

7 0

3 years ago

Will mark brainiest pls just lmk

aksik [14]

Answer:

If asking for the distance, the answer would be C.

4 0

3 years ago

Read 2 more answers

Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round i

dsp73

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

$v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s$

Also,

$v=r\omega$

Where

$\omega$ is the angular speed

So,

$\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s$

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

8 0

3 years ago

Tropical forests are being lost at the rate of 5 million hectares per year. how many hectares per day is that? how many hectares

katrin [286]

5,000,000/365= 13,698.630137 hectatres per day /1440 = 9.5129375951388..... hectares per minute

365 days in a year
1440 minutes in a day (24hrs)

7 0

3 years ago