MATHEMATICS HIGH SCHOOL

If f( x ) = 5x -2, what is f( 3 ) ?

F- 0
G- 8
H- 13
J - 15

Answers

Answer 1
Answer:

Answer:

H.  13

Step-by-step explanation:

To find the output of a function, substitute the value given in parentheses for x, and do the operations.

Given f(3)

f(3) = 5(3) - 2

f(3) = 15 - 2

f(3) = 13
Answer 2
Answer:

Answer:

its 13 ^^

Step-by-step explanation:

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Solve each equation by taking square roots

9r^2 +3=-204

Answers

9r² + 3 = -204    |subtract 3 from both sides

9r² = -207    |divide both sides by 9

r² = -23 < 0 NO REAL SOLUTIONS

COMPLEX SOLUTION:

r² = -23 ⇔ r = √(-23) = i√23

Using the transformation T: (x, y) (x + 2, y + 1), find the distance named. Find the distance BB'

Answers

Answer:

√(5)\ units


Step-by-step explanation:

we know that

The rule of the translation is equal to

(x,y)-----> (x+2,y+1)

That means

The translations is 2 units to the right and 1 unit up

Let

(x,y)-------> the coordinates of point B

(x+2,y+1)------> the coordinates of point B'

Find the distance

the formula to calculate the distance between two points is equal to


d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}


substitute

d=\sqrt{((y+1)-y)^(2)+((x+2)-x)^(2)}


d=\sqrt{(1)^(2)+(2)^(2)}


d=√(5)\ units
The transformation is:
T : ( x , y ) → ( x + 2, y + 1 )
B ( 1, 3 ) → B` ( 1 + 2, 3 + 1 )
B ` ( 3, 4 )
d ( B B`) = √(( 3 - 1 )² + ( 4 - 3 )² )=
=  √ (2² + 1²) = √ 5

The value of y varies directly with x and y = 4.5 when x = 0.5. find y when x = 10

Answers

So what you asked this is what I got

x(y) = 4.5

If x= 0.5 then 

0.5(y) = 4.5
y=9

x(y) = 4.5

10(y) = 4.5
y= 0.45



hope this helps :)

What is 0.55 as a fraction in it's simplest form?

Answers

0.55=(55)/(100)=(55:5)/(100:5)=(11)/(20)
0.55 IN A FRACTION IS 55/100 =11/20 (SIMPLEST FORM)

What is the volume of a rectangular prism with a length of 812 cm, width of 913 cm and a height of 1225 cm?

Answers

812*913*1225 = 908161100cm^3
or 8.12*9.13*12.25 = 908.1611 m^3
Volume is Length X width X height. They already give you the values, so you'd multiply 812 by 913 and 1225, which would give you;

908161100

Craig is delivering boxes of paper to each floor of an office building. Each box weighs 64 pounds, and Craig weighs 160 pounds. If the capacity of the elevator is 2000 pounds, what is the maximum number of boxes he can deliver on each elevator trip?

Answers


If the maximum load on the elevator is  2,000 pounds,
and Craig weighs  160 pounds, that leaves

                       (2,000 - 160)  =  1,840 pounds for paper.

If each box weighs  160 pounds, then how many boxes
can he carry without going over the  1,840-pound limit ?

           (1,840  /  64)  =  28.75 .

28 boxes weigh  1,792 pounds, and 29 boxes weigh  1,856 pounds.

28 boxes will leave him with  48 more pounds of capacity,
but 29 boxes would weigh too much. 

He should take  28 boxes with him on each trip, and then,
on the last trip, he can use the extra  48 pounds allowed
to take his lunch up with him.
Solve:-

2000 - 160 = 1840

1840 ÷ 64 = 28.75

So, Craig can deliver about 28 boxes on each elevator trip.
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