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2 years ago

Solve the equation 4x + 29 = 5 - 8(x+6)

Mathematics

1 answer:

Luda [366]2 years ago

4 0

To solve an equation for x we will try to isolate x. Hence, first step is to use the distributive property. Therefore,

4x + 29 = 5 - 8(x+6)

4x + 29 = 5 - 8x - 48

4x + 29 = - 43 -8x Combine the like terms.

4x + 29 + 8x = -43 Add 8x to each sides of the equation.

12x + 29 = -43

12x = -43 - 29 Subtract 29 from each sides.

12x = -72

$\frac{12x}{12} =-\frac{72}{12}$

So, x =- 6

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Without solving the equation, determine the nature of the roots of x^2 - 2x - 8 = 0.

noname [10]

Answer:

two real, unequal roots

Step-by-step explanation:

This is a quadratic equation. The quadratic formula can be used to determine how many and what kind of roots may exist:

Find the discriminant, which is defined as b^2 - 4ac, if ax^2 + bx + c = 0. In this case, a = 1, b = -2 and c = -8, so that the discriminant value is

(-2)^2 - 4(1)(-8), or 4 + 32 = 36.

Because the discriminant is real and positive, we know for certain that we have two real, unequal roots

3 0

2 years ago

Decide if the expression is positive or negative. Explain in words how you know, please.

AysviL [449]

Step-by-step explanation:

The first expression is :

$-11\times \dfrac{2}{3}$

Numerator = -11×2 = -22

Denominator = 3

So, answer will be :

$-11\times \dfrac{2}{3}=\dfrac{-22}{3}$ (negative)

The second expression is:

$-11\times \dfrac{-2}{3}$

Numerator = -11×-2 = 22

Denominator = 3

So, the answer will be :

$-11\times \dfrac{-2}{3}=\dfrac{22}{3}$ (positive)

Hence, this is the required solution.

7 0

2 years ago

the probability that it will rain tomorrow is 0.85what is the probability that it will not rain tomorrow

bija089 [108]

Answer:

.15

Step-by-step explanation:

Probability of Rain = x

Probabiliy of No Rain = y

Y=1-X

Y=1-0.85

Y=.15

4 0

2 years ago

Explain how you found your answer

bogdanovich [222]

Answer:

29°

Step-by-step explanation:

151° + a=180°

We know the sum of angles in a straight line is 180°

a= 180°-151°

The sign changed as it changed sides

a= 29°

5 0

2 years ago

WhiThree-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.

vesna_86 [32]

Answer:

The total members in the Spanish Club = 50

Step-by-step explanation:

Let the total members in the Spanish Club = x

Now, number of girls in the club = 30

Three-fifths of the members are girls.

⇒ $(\frac{3}{5} )$ of total members x = 30

or, $(\frac{3}{5}) \times x = 30\\$

Now, solving for x, we get:

$x = 30 \times\frac{5}{3} = 50$

or, x = 50

Hence,the total members in the Spanish Club = 50

7 0

2 years ago