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anygoal [31]
3 years ago
14

Simplify the answer as much as possible​

Mathematics
1 answer:
RSB [31]3 years ago
6 0

Answer:

f(-5)=240

g(-7)=-33

Step-by-step explanation:

1) f(x)=3x^2 - 3x

f(-5)= 3×(-5)^2 - 3×(-5) = -15^2 + 15= 225 + 15=240

2) g(x)=5x + 2

g(-7)= 5×(-7) + 2= -35+2=-33

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Give the equation of the line that is perpendicular to y= (1/2)x -1 and passes through the point (3,4)
nexus9112 [7]

Answer: y = -2x + 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if the two lines are perpendicular , then m_{1}m_{2} = -1

The equation of the line given :

y = 1/2x - 1

comparing with the equation of line in slope intercept form

y = mx + c , where m is the slope and c is the y - intercept , it implies that

m_{1} = 1/2

Therefore :

m_{2} = -2

To find the equation of the line with slope -2  and passes through the point ( 3 , 4 ) we will use the formula

y-y_{1} = m (x-x_{1} )

y - 4 = -2 ( x - 3 )

y - 4 = -2x + 6

y = -2x + 6 + 4

y = -2x + 10

7 0
4 years ago
Karyn proofread a 15 pages in 2 hours for $40.
xxMikexx [17]
A. 8 pages per hour because 120 (2 hours) ÷15=8
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3 0
4 years ago
Help please I need this now
professor190 [17]

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
]solomon needs to justify the formula for the arc length of a sector. which expression best completes this argument? the circumf
Anna35 [415]

Answer:

\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}} best completes this argument

Step-by-step explanation:

Circumference of circle =\pi \cdot d

Where d is the diameter of circle

We are given that if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to \frac{360^{\circ}}{n^{\circ}}

So, Number of sectors =  \frac{360^{\circ}}{n^{\circ}}

The arc length of each sector is the circumference divided by the number of sectors

\Rightarrow \frac{\pi \cdot d}{\frac{360^{\circ}}{n^{\circ}}}

Diameter d = 2r (r = radius)

\Rightarrow \frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}

Option b is true

Hence\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}} best completes this argument

7 0
4 years ago
A freight train travels 260 km in the same time a passenger train travels 320 km. If the passenger train averages 15km/hour fast
JulsSmile [24]
Time = t 

<span>vf t = 260 </span>
<span>vp t = 320 </span>
<span>so </span>

<span>260/vf = 320/(vf+15) </span>

<span>320 vf = 260 vf +260(15) </span>
<span>60 vf = 390 </span>
<span>3 vf = 39 </span>
<span>vf = 13 km/hour

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

</span>
4 0
3 years ago
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