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goblinko [34]
3 years ago
7

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

Mathematics
2 answers:
kari74 [83]3 years ago
6 0
<span>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.
</span>
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]
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</span><span>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   </span>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
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