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3 years ago

If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g*h) (-3)

Mathematics

1 answer:

polet [3.4K]3 years ago

8 0

Answer:

14/5.

Step-by-step explanation:

(g*h) ( x) = (x + 1)( 4 - x) / (x - 2)

So (g*h) (-3) = (4 - -3) (-3 + 1) / (-3-2)

= 7 * -2 / -5

= -14/ -5

= 14/5.

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Find the slope of the line passing through the points (-4, -4) and (2, 5)

Sliva [168]

Answer: The slope is 3/2

Step-by-step explanation:

To find the slope, you need to find the difference between the y coordinates and divide it by the difference in the x coordinates.

The y coordinates are -4 and 5

The x coordinates are -4 and 2

-4 -5 = - 9

-4 - 2 = -6

-9/-6 = 3/2

4 0

3 years ago

Need help ASAP

joja [24]

Part (1) : The solution is $729$

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is $3^{2} \cdot3^{4}$

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$ , we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

$3^{2} \cdot3^{4}=3^6=729$

Thus, the simplified value of the expression is $729$

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

$\frac{1}{2^4x^8}$

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$ , we have,

$\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}$

Adding the powers, we get,

$\frac{2x^{2}y^{-1}z^{-7}}{3}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0

3 years ago

Need help please ASAP

chubhunter [2.5K]

Answer:

alright give us a second

3 0

3 years ago

Evaluate the expression if g+2, r+3, and t=11.<br> g+6t

Ivahew [28]

Answer:

I think you copied this wrong

Step-by-step explanation:

Most likely g = 2

Therefore (2) + 6(11)

2+66=68

5 0

3 years ago

A store purchased a picnic basket for $9.88 and marked it up 55%. During a sale, the store marked it down 5%. What was the disco

vivado [14]

Answer:

14.82

Step-by-step explanation:

4 0

3 years ago