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kiruha [24]
3 years ago
9

If you expand and simplify (2x+3)(x+4)

Mathematics
2 answers:
lina2011 [118]3 years ago
6 0

Answer:

The answer is 2x² + 11x + 12.

Step-by-step explanation:

You have apply Distributive Law,

a(m + n) = am + an

So for this question :

(2x + 3)(x + 4)

= 2x(x) + 2x(4) + 3(x) + 3(4)

= 2 {x}^{2}  + 8x + 3x + 12

= 2 {x}^{2}  + 11x + 12

posledela3 years ago
4 0

<em>(2x + 3)(x + 4) \\  = 2x(x + 4) + 3(x + 4) \\  = 2x \times x + 2x \times 4 + 3 \times x + 3 \times 4 \\  =  {2x}^{2}  + 8x + 3x + 12 \\  =  {2x}^{2}  + 11x + 12 \\ hope \: it \: helps</em>

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Step-by-step explanation:

Equation:

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7x + 16 = 180

7x = 164

x ~ 23.43

Angle C:

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What is the slope of the line which passes through (1, 4) and (0, 1)?
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Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Describe th
Mariana [72]

The solution to the equations are:

  • 9x² - 36x + 36 = 0 has two equal real solutions
  • x² - x + 4 = 0 has no real solutions
  • The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

9x\² - 36x + 36 = 0

The above equation is a quadratic equation which can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-36)\² - 4 * 9 * 36

d = 0

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

x\² - x + 4 = 0

The above equation can be represented as:

ax\² + bx + c = 0

The discriminant (d) is calculated as:

d = b\² - 4ac

So, we have:

d = (-1)\² - 4 * 1 * 4

d = -15

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

4x\² + 23 - 35

Evaluate the difference

4x\² -12

Factor out 4

4(x\² -3)

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

#SPJ1

5 0
1 year ago
I know it is basic but I need help<br><br>11m+13=m+23
zloy xaker [14]

Answer:

m = 1

Step-by-step explanation:

11m + 13 = m + 23

<u>Get m by itself by subtracting m from both sides. </u>

10m + 13 = 23

<u>Subtract 13 from both sides.</u>

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8 0
3 years ago
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The question is on the picture :)
VashaNatasha [74]

Answer:

2.5

Step-by-step explanation:

y=kx, k is constant of prop

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