MATHEMATICS HIGH SCHOOL

A rental car costs $48 for one day plus an additional $0.52 per mile. If you have $110, how many miles can you drive the car?

Answers

Answer 1

Answer:

Answer:

2.27 miles is the answer.

Step-by-step explanation:

Money needed = $48+$0.52 = $48.52

So,

$48.52 = 1 mile

$1 = 1/$48.52

$110 = (1/$48.52)×$110

= 2.27 miles

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G(X) = -3/2x
Find g(4)

Answers

substitute 4 as x in both sides of the equation

basically multiply -3/2 by 4

g(x)= -3/2x

x=4

g(4) = - 3/2 * (4) = $-(3*4)/(2) = -(12)/(2) =-6$

g(4) = - 6

How to tell when to use positive or negative symbols when dividing?

Answers

Always look to the left of the number if there's a minus sign then it's negative. If it has nothing or a plus sign, then it is positive.

Find the area of the following parallelogram

Answers

Answer:

6 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh where b is the base and h is the height

A = 3 *2 = 6 cm^2

Determine whether the equation defines y as a function of x+y2=1

Answers

x+y2=14

⟹y2=14−x

⟹y=±14−x−−−−−√

Let’s say we plug in x=5

, we will get y=±3

The definition of a function says that one input must give us at most one output. This tells us that from this equation we cannot have y

as a function of x

x3−y3=27

⟹y3=x3−27

⟹y=x3–27−−−−−√3

The cube root function gives us one output per input. As a consequence of the previous statement and using the definition of function we can say that from this equation we can write y

as a function of x

Can someone please answer this I’m stuck

Answers

The system has no solutions.
To do this question I started out by trying to solve the simultaneous equations using substitution.
First we can simplify 6x = 12y - 24 by dividing everything by 6, which gives us:
x = 2y - 4
Then we can substitute this into the second equation:
30y - 15(2y - 4) + 30 = 0
30y - 30y + 60 + 30 = 0
90 = 0
As this is obviously not true, we can conclude that the system has no solution.
I hope this helps! Let me know if you have any questions :)

Let f(x) = x^2 and g(x) = x-6. find (f o g)(-3). please help.

Answers

Answer:

Step-by-step explanation:

f o g = f(g(x))

Step 1. Solve for g(-3)

-3 - 6 = -9

Step 2. Solve for f(-9)

-9^2 = 81

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A line has a slope of -1/2 and a y-intercept of 3.Which equations represent the line?Choose all answers that are correct.A. 2y = 6 + xB. x + 2y = 6C. y = -1/2x + 3D. (y - 2) = -1/2( x - 2 )

A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his line. This causes the machine to overheat, increasing the probability that a defective molding will be produced during the early morning run from 3% to 15%. The plant manager randomly selects a molding from the early morning run and discovers it is defective. What is the probability that the foreman forgot to shut off the machine the previous night?