Penicillin is available as a 125 mg tablet how much tablet are need to give a dose of 375 mg

Which of these equations would give you the balance on an account with a principal of $3000 and an interest rate of 8%, compound

GrogVix [38]

It would be 3000 x 1.08^5

8 0

3 years ago

A surveyor wants to know how many shoppers at a mall like to read books. He surveys 100 people coming out of a bookstore at the

denpristay [2]

Its B. People who shop in bookstores are likely to read more books than those who do not.

4 0

3 years ago

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

skad [1K]

The definition of quadratic function is given by:

 $(1) \ f(x)=ax^{2}+bx+c \\ \\ where \ a, b, c \ are \ real \ values$ 

So the problem asks for two conditions:

1. Write the quadratic function in factored form. 
2. The vertex has an x-coordinate of 3.

Then the equation (1) must be written as follows:

 $f(x)=(x-m)(x-n) \\ \\ where \ m \ and \ n \ are \ the \ roots$ 

To satisfy the two conditions:

$\frac{m+n}{2}=3$

So we are free to choose the value of one root, say:

$m=1$

Thus:

$n=6-1=5$

Finally, the answer is:

$f(x)=(x-1)(x-5)$

The graph of this function is shown in the figure below.

4 0

3 years ago

Read 2 more answers

Sean operates a lawn-cutting business. He charges $15 for a single lawn and $25 for a front and back lawn. Sean made $475 from 2

topjm [15]

The system of equations that models the given situation is given as follows:

x + y = 25.

15x + 25y = 475.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Number of single lawns cut.

Variable y: Number of front and back lawns cut.

He had 25 customers, hence:

x + y = 25.

He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:

15x + 25y = 475

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0

2 years ago

Solve the inequality for x. Show each step of the solution. 16x > 12(2x – 6) – 24

Dafna11 [192]

You want to start this problem by handling the parentheses and distributing the 12.
So 16x > 12(2x - 6) - 24 would become...
So 16x > 24x - 72 - 24
Next you would combine like terms...
So 16x > 24x - 96
Then to get rid of the negative you would add 96 to both sides...
So 16x + 96 > 24x
After that you would subtract 16x from both sides...
96 > 8x
Lastly, divide by 8 to get x.
12 > x

4 0

4 years ago