All categories

3 years ago

What is the resulting ordered pair if the value of the independent variable is 2?

1 answer:

5 0

To find f(2), put 2 where the variable is, then do the arithmetic. It might be easier to factor out x^2:
f(x) = (-6x-4)·x^2
f(2) = (-6·2-4)·2^2
= -16·4
= -64

Then the ordered pair (x, f(x)) for x=2 is
B. (2, -64)

You might be interested in

A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of san

Sedbober [7]

Answer:

height=6 ft

Step-by-step explanation:

-The volume of a rectangular prism is given by the formula:

$V=lwh$

#We make h the subject of the formula the solve for it:

$V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}$

#Substitute to solve for height:

$h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft$

Hence, the prism has a height of 6 ft.

6 0

3 years ago

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

vovangra [49]

Find AC using Pythagorean theorem
6^2 + 8^2 = AC^2
36 + 64 = AC^2
100 = AC^2
10 = AC

6+8+10 = 24

24/60 = 2/5

10/x = 2/5
50 = 2x
25 = x

5 0

2 years ago

Find the x intercepts of f(x) = –16x^2 + 22x + 3

Helga [31]

That is where the line crosses the x axis or where y=0

0=-16x^2+22x+3
we gon do grouping
ac method
-16 times 3=-48

what 2 numbers multiply to get -48 and add to get 22
-2 and 24
0=-16x^2-2x+24x+3
group
0=(-16x^2-2x)+(24x+3)
undistribute
0=-2x(8x+1)+3(8x+1)
undistribute
0=(8x+1)(-2x+3)
set eaqual to 0

8x+1=0
8x=-1
x=-1/8

-2x+3=0
3=2x
3/2=x

x intercepts ate x=-1/8 and x=3/2

4 0

3 years ago

What is 1/3 divided by 4

Gwar [14]

Answer:

1/12

Step-by-step explanation:

1/3 times 1/4 is 1/12

7 0

3 years ago

Read 2 more answers