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Mathematics

1 answer:

tekilochka [14]2 years ago

5 0

y = sqrt(x) .... parent function

y = sqrt(x+2) .... replace x with x+2 to shift 2 units to the left

y = sqrt(x+2)+3 ... add on 3 to move 3 units up

y = sqrt(-x+2)+3 ... replace x with -x to reflect over y axis

<h3>Answer: y = sqrt(-x+2)+3</h3>

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. On a school field trip, the school requires that there are 6 teachers for every 90 students. If 135 students attend the trip h

mr_godi [17]

Answer:

For 135 students , the number of teacher requires is 9

Step-by-step explanation:

Given as :

The number of teacher = 6

The number of student = 90

∵ For 90 students , the number of teacher requires = 6

So , For 1 student , the number of teacher requires = $\frac{6}{90}$

= $\frac{1}{15}$

∴ For 135 student , the number of teacher requires = $\frac{1}{15}$ ×135

Or, For 135 student , the number of teacher requires = $\frac{135}{15}$

So, For 135 student , the number of teacher requires = 9

Hence For 135 students , the number of teacher requires is 9 Answer

5 0

3 years ago

Solve;

Viktor [21]

5x+5=6.4-2.7x
7.7x=1.4
x=1.4/7.7
x=0.181818...

0.2(6x+1)=0.5x
1.2x+0.2=0.5x
0.7x=-0.2
x=-0.2/0.7
x=-0.285714285714......

7 0

3 years ago

Luke is swimming in a river with a current flowing west to east at a constant speed of 3.5 meters/second. Assume that Luke's wat

Nitella [24]

Decompose each velocity in its i and j - coordinates.

1) River's velocity

3.5 m/s, west fo east = 3.5i + 0j

2) Luke's velocity

5m/s, 60° east of north

5* sin(60°) i + 5*cos(60°) j = 4.33 i + 2.5 j

3) Resultant velocity

[3.5i + 0j] + [4.33i + 2.5j] = 7.83i + 2.5j

resultant speed = √[ (7.83)^2 + (2.5)^2 ] = 8.22 m/s

angle = arctan(2.5 / 7.83) = 17.7° north of east (equal to 72.3° east of north).

6 0

3 years ago

Read 2 more answers

9 to 2

Arlecino [84]

<u>Answer:</u>

$\frac { 4 } { 5 }$