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Tpy6a [65]
4 years ago
14

Factor the quadratic expression. x2 + 16x + 48

Mathematics
2 answers:
kondaur [170]4 years ago
8 0
X² + 16x + 48
x                12
x                 4

find factors of x² and 48, that would add up to 16x

(x + 12)( x +4) is your answer, as using the FOIL method

FOIL (first, outside, inside, last)

x(x) = x²
x(4) = 4x
12(x) = 12x
12(4) = 48

x² + 4x + 12x + 48
simplify

x² + 16x + 48 (True)

you're answer is (x + 12)(x + 4)

hope this helps
Bingel [31]4 years ago
3 0
I will do my best to explain this “ x method “ I use
Basically, two factors of the first and last number must multiply together to sum up to equal the middle number
1 X 12
1 4
(x+12) (x+4)
Hope this helps!
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A particle is moving along the curve y= 5sqrt(5x+4) . As the particle passes through the point (1,15), its x-coordinate increase
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4 0
3 years ago
What graph represents the equation y=1.4x+2
Goryan [66]
Hope this helps you.

7 0
4 years ago
How do you solve this problem?
Afina-wow [57]

Answer:

x=48

Step-by-step explanation:

x-3              15

------------ = ----------

6                      2

We can use cross products to solve this problem

(x-3) *2 = 6*15

Distribute

2x-6 = 90

Add 6 to each side

2x-6+6 = 90+6

2x=96

Divide by 2

2x/2 = 96/2

x = 48

3 0
3 years ago
What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.
Stells [14]
The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621
8 0
4 years ago
Which of the following illustrates a phase shift?
Natasha_Volkova [10]

<u>Answer:</u>

A. y = -2 - cos(x-π)


<u>Explanation:</u>

<u>The general form of the trig equation is:</u>

y = A sin (Bx + C) + D

where:

A is the amplitude

\frac{2\pi}{B} is the period

\frac{-C}{B} is the phase shift

D is the vertical shift


<u>Now, let's check the choices:</u>

<u>A. y = -2 - cos(x-π)</u>

\frac{-C}{B} = \frac{\pi}{1}  = \pi

Therefore, the function has a phase shift of π


<u>B. y = 3 cos(4x)</u>

\frac{-C}{B} = \frac{0}{4} = 0

Therefore, the function has no phase shift


<u>C. y = tan(2x)</u>

\frac{-C}{B} = \frac{0}{2} = 0

Therefore, the function has no phase shift


<u>D. y = 1 + sin(x)</u>

\frac{-C}{B} = \frac{0}{1} = 0

Therefore, the function has no phase shift


<u>Based on the above,</u> the correct answer is A


Hope this helps :)

3 0
3 years ago
Read 2 more answers
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