Y+2=3(x-6) converted to slope-intercept form

2. Let f(x) = 3x² -x+5, find f(x+1)

Anna11 [10]

Answer:

f(x + 1) = 3x² + 5x + 7

Step-by-step explanation:

To find f(x + 1), substitute x = x + 1 into f(x), that is

f(x + 1) = 3(x + 1)² - (x + 1) + 5 ← expand (x + 1)² using FOIL

= 3(x² + 2x + 1) - x - 1 + 5 ← distribute parenthesis by 3

= 3x² + 6x + 3 - x - 1 + 5 ← collect like terms

= 3x² + 5x + 7

8 0

3 years ago

Lin and Andre start walking toward each other at the same time from opposite ends of a 22 mile walking trail. I am to lazy to ty

notka56 [123]

Answer:

2 hours- 5 miles, 6 miles, 13 miles

3 Hours- 7.5, 9, 9.5

4 hours- 10, 12, 6

Step-by-step explanation:

I think it might be wrong but I did my best sorry!

4 0

3 years ago

Read 2 more answers

Los puntos de intersección de los gráficos de f(x)=x2+6x−7 y g(x)=4x−10

alisha [4.7K]

Answer:

Those graphs do not intersect.

Estes gráficos no se intersecciónan

Step-by-step explanation:

The intersection points are x for which:

$f(x) = g(x)$

In this question:

$f(x) = x^{2} + 6x - 7$

$g(x) = 4x - 10$

So

$x^{2} + 6x - 7 = 4x - 10$

$x^{2} + 2x + 3 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$x^{2} + 2x + 3 = 0$

So $a = 1, b = 2, c = 3$

$\bigtriangleup = b^{2} - 4ac = 2^{2} - 4*1*3 = -8$

Sincce $\bigtriangleup$ is negative, there are no solutions, which means that those graphs do not intersect.

7 0

3 years ago

23X67 Estimate then find the prouduct

kumpel [21]

To estimate, you would usually round to a significant figure
so, 20* 70=1400

The actual answer is 1521, so we know we are close

3 0

3 years ago

Solve 5x^2 +16x -84=0 using the quadratic equation

Andrew [12]

In order to find the answer to this question, we need to use the quadratic formula.

-b +- √b² - 4ac
2a

In this equation, 5 is a, 16 is b, and -84 is c. You'll notice that the formula says 'plus or minus', meaning that there are two answers depending on whether you add or subtract. Let's start by adding.

-16 + √16² -(4(5)(-84)
2(5)

Use a calculator to simplify. Remember PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction) when deciding which order to go in.

-16 + 44
10
2.8

One solution is 2.8. Now, let's do the same thing, but subtract this time. Keep in mind that the number under the radical stays the same, so you don't have to recalculate that.

-16 - 44
10
-6

The solutions to the equation are 2.8 and -6.

Hope this helps!

8 0

3 years ago