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Degger [83]
3 years ago
5

What is the solution to this equation: 7m to the 2 power + 6m - 1 = ?

Mathematics
1 answer:
Mumz [18]3 years ago
5 0

Answer:

7m² + 6m - 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Combining Like Terms
  • Standard Form: ax² + bx + c = 0

Step-by-step explanation:

<u>Step 1: Define expression</u>

7m² + 6m - 1

<u>Step 2: Simplify</u>

<em>The expression cannot be simplified further.</em>

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Which angle in triangle ABC has the smallest measure?​
ludmilkaskok [199]

Answer:

Angle B

Step-by-step explanation:

To find the smallest angle it is the opposite of the smallest side in the triangle in this case as all sides are given.

4 0
3 years ago
Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X &gt; 10) b. P(X &gt; 20) c
GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(c) The value of P (X < 30) is 0.9502.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0

The value of E (X) is 10.

The parameter λ is:

\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10

(a)

Compute the value of P (X > 10) as follows:

P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

P(X

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

P(X

Take natural log on both sides.

ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30

Thus, the value of x is 30.

7 0
3 years ago
3<br> Solve for x. Round answer to the nearest tenth.<br> X<br> 759<br> 17
QveST [7]

Answer:

x ≈ 4.6

Step-by-step explanation:

Reference angle = 75°

Opposite side to reference angle = 17

Adjacent side = x

Applying TOA:

Tan 75 = opp/adj

Tan 75 = 17/x

Multiply both sides by x

x*Tan 75 = 17

Divide both sides by Tan 75

x = 17/Tan 75

x ≈ 4.6

7 0
3 years ago
Consider these functions f(x)=3x-7 g(x)=x+1/x-1 what is the of f(g(3)) answer
JulijaS [17]

Answer:

\boxed{-1}

.

Step-by-step explanation:

g(3) = \frac{3 + 1}{3 - 1}  = 2

f(g(3)) = 3(2) - 7 = -1

3 0
2 years ago
Find the discriminant and the numbers of real roots for this equation: 4x^2+12x+9=0
Len [333]

Answer:

D=0

The quadratic equation has one real root with a multiplicity of 2.

Step-by-step explanation:

Given a quadratic equation:

 ax^2+bx+c=0

You can find the Discriminant with this formula:

D=b^2-4ac

<em> </em>In this case you have the following quadratic equation:

4x^2+12x+9=0

Where:

a=4\\b=12\\c=9

Therefore, when you substitute these values into the formula, you get that the discriminant is this:

D=(12)^2-4(4)(9)\\\\D=0

Since D=0, the quadratic equation has one real root with a multiplicity of 2 .

8 0
3 years ago
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