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3 years ago

Evaluate 2/g + 2h + 5 when g=3 and h=6

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

Answer:

17 2/3

Step-by-step explanation:

2/g + 2h + 5 when g = 3 and h = 6

~Substitute

2/3 + 2(6) + 5

~Simplify

2/3 + 12 + 5

~Add

12 2/3 + 5

~Add

17 2/3

Best of Luck!

slega [8]3 years ago

6 0

The answer is 17.67 is u rounded , or 17.666

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8 0

3 years ago

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.

il63 [147K]

Let $x$ be the unknown number. Its square is $x^2$ . The product of 6 and the square of the number is $6x^2$ . Increase this by 5 and you get $6x^2+5$ .

If this has to equal 4, you have $6x^2+5=4$

4 0

2 years ago

Read 2 more answers

If y varies directly with x, and y = 2 when x = −4, what is the value of y when x = 20

Klio2033 [76]

Answer:

y = - 10

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 2 when x = - 4, that is

2 = - 4k ( divide both sides by - 4 )

= k, that is

k = -

y = - x ← equation of variation

When x = 20, then

y = - × 20 = - 10

3 0

3 years ago

9.4 the tangent ratio<br> please help on #27 and 28

Ilya [14]

Answer/Step-by-step explanation:

27.

✔️Sin 23 = opp/hyp

Sin 23 = t/34

34*sin 23 = t

t = 13.3

✔️Cos 23 = adj/hyp

Cos 23 = s/34

s = 34*cos 23

s = 31.3

28.

✔️Sin 36 = opp/hyp

Sin 36 = s/5

s = 5*sin 36

s = 2.9

✔️Cos 36 = adj/hyp

Cos 36 = r/5

r = 5*cos 36

r = 4.0

29.

✔️Sin 70 = opp/hyp

Sin 70 = w/10

w = 10*sin 70

w = 9.4

✔️Cos 70 = adj/hyp

Cos 70 = v/10

v = 10*cos 70

v = 3.4

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%

Llana [10]

a) The given function is

$f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}$

The domain refers to all values of x for which the function is defined.

The function is defined for

$x^4+x^3-4x^2-4\ne0$

This implies that;

$x\ne -2.69,x\ne 1.83$

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

$x^4+x^3-4x^2-4=0$

This implies that;

$x= -2.69,x=1.83$

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

$\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

$\Rightarrow x^2-4=0$

$x^2=4$

$x=\pm \sqrt{4}$

$x=\pm2$

The roots are $x=-2,x=2$

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

$x=0$ into the function

$f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}$

$f(0)=\frac{-4}{-4}=1$

e) to find the horizontal asypmtote, we take limit to infinity

$lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

The horizontal asymtote is $y=0$

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0

2 years ago