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1 year ago

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

1 answer:

6 0

$g(-3)=\frac{-3+1}{-3-2}=\frac{2}{5} \\ \\ h(-3)=4-(-3)=7 \\ \\ (g\times h)(-3)=7\left(\frac{2}{5} \right)=\boxed{\frac{14}{5}}$

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Find the product (2/9) x (9/5)

nevsk [136]

We can set it up like this:
$\frac{2}{9}\cdot \frac{9}{5}$
Multiply straight...
$=\frac{2\cdot \:9}{9\cdot \:5}$
Simplify...
$=\frac{2}{5}$
That's our answer, we can also convert it to decimal.

Answer in fraction form: $=\frac{2}{5}$
Answer in decimal form: $0.4$

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish

6 0

2 years ago

Write the equation of the line.

Oksana_A [137]

Y = 1/3x - 2.
If you sub in 0, you’ll get (0, -2) which is the y intercept.

4 0

2 years ago

Read 2 more answers

Which inequality is true?

DiKsa [7]

Answer:

C. 5 $\pi$ > 15

Step-by-step explanation:

In the given series of inequalities, the inequality sign determines the final outcome.

A. 4 $\pi$ - 2 < 10

4 $\pi$ < 12

$\pi$ < 3

Since $\pi$ < 3, then the inequality is false

B. $\pi$ + 9 < 12

$\pi$ < 3

Since $\pi$ < 3, then the inequality is false

c. 5 $\pi$ > 15

$\pi$ > 3

Since $\pi$ > 3, then the inequality is true

D. 6 > 2 $\pi$

3 > $\pi$

Since $\pi$ < 3, then the inequality is false

Thus, the only inequality that is true is option C.

3 0

2 years ago

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m

evablogger [386]

ANSWER

$x = 50.5 \degree$

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

$\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}$

From the triangle,

$\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}$

We multiply both sides of the equation by 60 to get,

$sin(x) = \frac{ 60\sin(40 \degree) }{50}$

$sin(x) = 0.7713$

We solve for x to obtain,

$x = arcsin(0.7713)$

$x = 50.475$

To the nearest tenth, we round to one decimal place to get,

$x = 50.5 \degree$

7 0

3 years ago

Help please, Which expression does not belong? Explain your reasoning.

ZanzabumX [31]

Answer:

My best answer is option number 4.

Step-by-step explanation:

Because the first 3 answers follow a specific pattern in addition and division, i.e. they only go up to 4 different numbers, whereas with the 4th option, that changes. Not only that, but if you look closely, the 4th option adds 6 to itself 5 times, that's the same as 6x5, which equals 30, so if you divide 30 by 5, its almost pointless seeing as how you already know it's gonna get you 6.

4 0

2 years ago