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Pavlova-9 [17]
3 years ago
12

How will you graph the function g(x) = (x – 4) + 12 using the parent quadratic function, f (x) = x^2

Mathematics
1 answer:
inessss [21]3 years ago
4 0

Answer:

The graph of f(x) = x2 is shown at right. ... The vertex for the quadratic equation f(x) = a(x h)2 + k is the point.

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Pratap Puri rowed 14 miles down a river in 2 ​hours, but the return trip took him 3 and one half hours. Find the rate Pratap can
SOVA2 [1]

speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

speed of current is 1.5 mi/hr

7 0
2 years ago
What is the complex conjugate of -8+12i
Nuetrik [128]
The complex conjugate of a + bi is a - bi

So, the complex conjugate of -8 + 12i is -8 - 12i.
5 0
3 years ago
Wren bought a baseball card last year for $2.25. This year the price dropped to $.45. What was the percent of decrease in the pr
const2013 [10]
The price:
- last year: $2.25
- this year: $.45
The decrease: $2.25 - $.45 = $1.80
2.25 : 1.80 = 100 : x
2.25 x = 180
x = 180 : 2.25
x = 80
Answer:
The percent of decrease is  A ) 80%
4 0
3 years ago
the 41st term of the arithmetic sequence is -539 and the 54th term is -708. Find the value of the 80th term
yulyashka [42]

Answer:

a _{n} = a _{1} + (n - 1)d \\ a _{41} =  - 534 \\ a _{54} =  - 708 \\  a _{41} =  a _{1} + (41 - 1)d = - 534  \\  a _{1} + 40d = - 534 \:  \: ...(1)\\ a _{54} =  a _{1} + (54 - 1)d =- 708 \\ a _{1} + 53d = - 708 \:  \: ...(2)

Try to solve the similtanious equation to find the first term and the common difference, then use that information to figure out the 80th term... Update me if you need further help ...

7 0
3 years ago
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader
Inessa05 [86]

Answer:

28

Step-by-step explanation:

40% 6th graders of 70 total = 28 6th graders

40% 6th graders + 20% 7th graders = 60%

100% - 60% = 40% 8th graders

40% are 8th graders therefore the answer is 28

7 0
3 years ago
Read 2 more answers
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