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nikklg [1K]
3 years ago
11

Given the function f(x)=(x+3)^2 and g(x)=3x+13 determine the x values of the point intersection

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

x = - 4, x = 1

Step-by-step explanation:

At the point of intersection

f(x) = g(x) , that is

(x + 3)² = 3x + 13 ← expand left side using FOIL

x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

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Step-by-step explanation:

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8 0
3 years ago
An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled usin
GuDViN [60]

Answer:

<em>3 seconds</em>

Step-by-step explanation:

Complete question:

<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>

<em></em>

Given the height of an object modelled by the expression;

<em>h(t)=144-16t²</em>

The object will reach the ground when h(t) = 0

Substitute into the formula

0 = 144 - 16t²

-144 = -16t²

144 = 16t²

Swap

16t² = 144

t² = 144/16

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8 0
3 years ago
2y=-8 which set of steps shows the solution to the equation
Rainbow [258]
2y=-8
We need to clear "y" with inverse operations.

y= -8/2      if 2 was multiplying now is dividing
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6 0
3 years ago
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4 years ago
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gavmur [86]

Answer:

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Step-by-step explanation:

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