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3 years ago

Determine the function’s value when x = −1.

2 answers:

6 0

g(x) = x^3 + 6x^2 + 12x + 8

plug -1 for x

g(-1) = -1^3 + 6*-1^2 + 12*-1 + 8

g(-1) = -1 + 6 - 12 + 8

g(-1) = 1

1 is your answer.

trapecia [35]3 years ago

3 0

The answer is g(-1)=1

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Simplify tan9x-tan5x / 1+tan9xtan5x

Wittaler [7]

Answer:

The given expressions simplifies to tan (4x).

Step-by-step explanation:

Here, the given expression is : $\frac{tan9x - tan5x}{1+ tan9xtan5x}$

By TRIGONOMETRIC IDENTITY:

$tan (A-B) = \frac{tanA - tanB}{1+ tanAtanB}$

Putting this identity here, and taking A = 9 x, B = 5 x, we get

$\frac{tan9x - tan5x}{1+ tan9xtan5x} = tan (9x-5x)$

= tan(4x)

Hence, the given expressions simplifies to tan (4x).

5 0

3 years ago

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

Jocelyn Clinton works for a company that uses a percentage method to compute income tax withheld. Jocelyn is single and claims o

Veronika [31]

Jocelyn makes more than $195 but not over $645. The amount she has to pay is 15% of the excess of 196. Find this first via subtraction.

421 - 195 = $226 over

Take 15% of this

226 x .15 = $33.9

The tax also includes a $14.4 addition to this 15%.

33.9 + 14.4 = $48.3 total income tax

6 0

3 years ago

In a class of 30 student .(x+10) study Algebra.(10x-3) study statistics ,4 students study both Algebra and statistics,2x study o

kherson [118]

Answer:

Step-by-step explanation:

3 0

2 years ago

Find all real solutions of the equation. (if there is no real solution, enter no real solution.) 35x2 12x − 36

solmaris [256]

Important: 35x2 12x − 36 is not an equation; to obtain an equation, you must set 35x2 12x − 36 = to 0:

35x^2 + 12x − 36 = 0. Also, "the square of x" must be represented by "x^2," and you must insert either the + or the - sign in front of the term 12x.

I am assuming that you meant 35x^2 + 12x − 36 = 0.

If that is indeed the case, then a = 35, b = 12 and c = -36

and the discriminant is b^2 - 4ac, or (12)^2 - 4(35)(-36) = 5184.

Since the discriminant is positive, this equation has 2 real, unequal solutions. They are
-12 plus or minus sqrt(5184)
x = -----------------------------------------
2(35)

7 0

3 years ago