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Brrunno [24]
4 years ago
10

Simplify the following expression: 3(2x-6) + 4(-3x + 8)

Mathematics
1 answer:
hichkok12 [17]4 years ago
5 0

Answer:

-6x+14

Step-by-step explanation:

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Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:
telo118 [61]
Axis of symmetry -3 and -8 or 3 and -8 

6 0
4 years ago
A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight plac
34kurt

Answer:

1/10 per sec

Step-by-step explanation:

When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent

tanΘ = x/18

Taking the derivative with respect to time

sec²Θ dΘ/dt = 1/18 dx/dt.

He's walking at a rate of 18 ft/sec, so dx/dt = 18.

After 3seconds,

Speed = distance/time

18ft/sec =distance/3secs

x = 18 ft/sec (3 sec)

= 54ft. At this moment

tanΘ = 54/18

= 3

sec²Θ = 1 + tan²Θ

1 + 3² = 1+9

= 10

So at this moment

10 dΘ/dt = (1/18ft) 18 ft/sec = 1

10dΘ/dt = 1

dΘ/dt = 1/10 per sec

8 0
3 years ago
Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to complete its route once and bus B takes 35 minutes to com
shepuryov [24]

Answer:

Step-by-step explanation:

Bus A will take 1 hour and will arrive back at 6pm, because 30+30=60 and there are 60 min is one hour. Bus B will arrive 1 hour 10 minuets. 35+35=70, Knowing that it will arrive there in over an our because there is more than 60 min, and the extra ten is the amount of minuets. SO bus B will arrive at 6:10pm. Hope I explained this right.

5 0
4 years ago
8. Which expression is equivalent to
Ksju [112]

Answer:

option 3

Step-by-step explanation:

\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\

\dfrac{12x^{4}}{4x^{16}}=3x^{4-16}

5 0
2 years ago
BRAINLIEST + POINTS! Please explain
ivolga24 [154]

Answer:

Option D. \$83.75  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=30\ years\\ P=\$187.45*0.10=\$18.745\\ r=0.05\\n=12  

substitute in the formula above  

A=\$18.745(1+\frac{0.05}{12})^{12*30}=\$83.75  

3 0
4 years ago
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