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3 years ago

What are the x- and y-intercepts of the graph of y = x2 + x − 6?

Mathematics

1 answer:

fenix001 [56]3 years ago

6 0

Answer:

Step-by-step explanation:

To find the y- intercept let x = 0, hence

y = 0 + 0 - 6 = - 6 ⇒ (0, - 6) ← y- intercept

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

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Hence x- intercepts are (- 3, 0) and (2, 0)

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Hitman42 [59]

Answer:

(D) $\frac{\sqrt{x}}{x}$

Step-by-step explanation:

$\frac{3x^2}{\sqrt{9x^5}}=\frac{3x^2}{3\sqrt{x^5}}=\frac{\sqrt{x^4}}{\sqrt{x^5}}=\sqrt{\frac{x^4}{x^5}}=\\=\sqrt{\frac{1}{x}}=\frac{1}{\sqrt{x}}=\frac{\sqrt{x}}{x}$

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3 years ago

Which number is the solution of n/3= -12? A: -36 B: -4 C: 4 D: 36

faust18 [17]

N/3= -12.
You want to get "N" by itself. On one side of the equation, with no other number. To do this, we do the opposite of what we have next to the letter "N"
In this case, N is being divided by 3, and the opposite of dividing is multiplying.
So you need to multiply both sides by 3.
The 3's on the left side cancel out, leaving N by itself.
Now you have N= -12 * 3
-12 * 3 = -36

So N = -36

8 0

3 years ago

Examine this system of equations with the procedure for using the linear combination method.

Tema [17]

Answer: “The lines are parallel” and “There is no solution to the system” are both correct.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

PLEASE HELP FIGURE OUT THE EQUATION!!!

lisabon 2012 [21]

f = twenty bill

f = fifty bill

f + t = 18(gave total 18 bills) and 50f + 20t = 450 ($450 cash a check)

Answer is B.

f + t = 18 ; 50f + 20t = 450

3 0

4 years ago

What is the equation of the parabola passing through the points (0,6). (3, 15.6), and (10,-4)?

Novosadov [1.4K]

Answer:

y = -0.6x^2 + 5x + 6

Step-by-step explanation:

First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.

y = mx + b

15.6 = 3m + 6

9.6 = 3m

m = 3.2

y = 3.2x + 6

y = a(x - 0)(x - 3) + 3.2x + 6

y = a(x)(x - 3) + 3.2x + 6

Finally, substitute 10 for x and -4 for y in the equation above to find a.

-4 = a(10)(10 - 3) + 3.2*10 + 6

-4 = a(10)(7) + 32 + 6

-4 = 70a + 38

-42 = 70a

a = -0.6

Simplify to write in standard form.

y = -0.6(x)(x - 3) + 3.2x + 6

y = -0.6x^2 + 5x + 6

7 0

2 years ago