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prohojiy [21]
3 years ago
15

If f(x)=3/4 and g(x)=3x which statement is true trust me I've tried

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0
The answer is D.

f(x) = 3/x
g(x) = 3x

(g * f)(-9) = 3(3/-9)
(g * f)(-9) = 3(-1/3)
(g * f)(-9) = -1
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An Electrician charges $30 for a service call plus $75 per hour of service. If he charged 210 how many hours did he work?
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30 + 75x= 210
Subtract 30 from both sides
75x=180
Divide both sides by 75
X =2.4

Worked 2.4 hours
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3 years ago
Nelson covered the first 20 miles in 2 1/2 hours. What was his<br> average speed in miles per hour?
klio [65]

Answer:

= 8 mp /h

Step-by-step explanation:

Average speed=total distance/total time

=20/2.5

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An account that yields 6% simple interest annually has $2,000. How much will be in the account after 3 years if no other deposit
Mazyrski [523]

Answer:

$2,382.03

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2 years ago
The apartments in Brian's apartment house are numbered consecutively on each floor. The sum of his number and his next-door neig
e-lub [12.9K]
If sum of numbers (a) +(b) is 1419 and
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8 0
3 years ago
Read 2 more answers
This week, we are covering relationships that can be approximated by linear equations. For instance, y = 453x + 3768 represents
lana [24]

Answer:

See explanation below.

Step-by-step explanation:

We assume that the data is given by :

x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90

y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.

Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)

We can find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 30+30+30+50+50+50+70+70+70+90+90+90=720

\sum_{i=1}^n y_i =38+43+29+32+26+33+19+27+23+14+19+21=324

\sum_{i=1}^n x^2_i =30^2+30^2+30^2+50^2+50^2+50^2+70^2+70^2+70^2+90^2+90^2+90^2=49200

\sum_{i=1}^n y^2_i =38^2+43^2+29^2+32^2+26^2+33^2+19^2+27^2+23^2+14^2+19^2+21^2=9540

\sum_{i=1}^n x_i y_i =30*38+30*43+30*29+50*32+50*26+50*33+70*19+70*27+70*23+90*14+90*19+90*21=17540

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=49200-\frac{720^2}{12}=6000

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=17540-\frac{720*324}{12}{12}=-1900

And the slope would be:

m=-\frac{1900}{6000}=-0.317

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{720}{12}=60

\bar y= \frac{\sum y_i}{n}=\frac{324}{12}=27

And we can find the intercept using this:

b=\bar y -m \bar x=27-(-0.317*60)=46.02

So the line would be given by:

y=-0.317 x +46.02

We have an inverse linear relationship since the slope is negative between the variables of interest.

8 0
4 years ago
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