MATHEMATICS HIGH SCHOOL

How do i figure this out?

Answers

Answer 1

Answer:

Answer:

Slope of function A is greater than slope of function B

Step-by-step explanation:

You calculate the gradient (slope) of function B. That is, change in y divided by change in x.

Take point (0, 1) and (2, 5) from the graph of function B.

change in y = 4

change in x = 2

gradient = 2

b(x) = 2x + 1

Therefore the function B has a lesser slope than function A

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What is the inverse of the function f(x) = 1/4x - 12?

Answers

Hello,

1) if the equation is
y=1/4 * x-12 then x=1/4 y-12==>1/4y=x+12==>y=x/4+3

2) if the equation is
y=1/(4x-12) then x=1/(4y-12)==>4y-12=1/x==>4y=1/x+12==>y=1/(4x)+3

What is the surface area of a rectangular prism with a length of 3 mm, a width of 5 mm, and a height of 8 mm?mm2

Answers

158, because to solve this question we first need to know the formula for finding the surface area of a rectangular prism which is A=2(wl+hl+hw) then you just need to input the numbers like so A=2(5*3+8*3+8*5) then when you simplify this down you get A=2(79) then distribute like so so A=158

Enjoy!=)

Cam rode her bike 5 times as far as Dante did. Dante rode 187 meters farther than Michael did. Cam rode 15.25 Kilometers. How many meters did Michael ride? Explain how you know you got your answer

Answers

Let Dante's distant be x, Cam's will be 5x
Given that Cam rode 15.25 km
then
5x=15.25
x=3.05 km

thus Dante rod 3.05 km
but
1 km=1000m
thus
3.05 km=3050 m
But Dante rod 187 m more than Michael, the distance Michael will ride then will be:
3050-187
=2863 m

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37

f(x), because an increasing quadratic function will eventually exceed an increasing exponential function
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect
g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect

Answers

Answer:

Option 2 is correct.

Step-by-step explanation:

We have been given points of g(x) and f(x)

g(x) has ordered pairs (0,1) ,(1,2) ,(3,8) ,(5,32) and (6,64) this is an exponential function which is $g(x)=2^x$ from the given points.

f(x) has ordered pairs (0,1) ,(1,2) ,(3,10) ,(5,26) and (6,37) this is a quadratic function

We will put these values in the quadratic function which is:

$ax^2+bx+c=y$

Taking (0,1)

$a(0)+b(0)+c=1$

c=1

Now, taking (1,2)

$a+b+1=2$

$a+b=1$ (1)

Now, taking (3,10)

$a(3)^2+b(3)+1=10$

$9a+3b=9$ (2)

Now, solving the equation (1) and (2) we get:

a=1 and b=0

Hence, the function $f(x)=x^2+1$

Please look at the attachment for the graph

We can see that the g(x) an exponential function will eventually exceed the increasing quadratic function

Therefore, option 2 is correct.

A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?11 business class and 16 economy class

12 business class and 15 economy class

15 business class and 12 economy class

16 business class and 11 economy class

Answers

In order to get as many tickets they need 15 business class tickets and 12 economy class tickets (700x15=10,500)(375x12=4500) Which when you add those two makes 15,000.

How do you write(−∞,8),(10,∞),as an inequality? A. x < 8 or x > 10
B. x < 10 or x > 8
C. x < 8 and x > 10
D. x < 10 and x > 8