MATHEMATICS HIGH SCHOOL

Which statements accurately describe the function f(x) = 3(16)^3/4? Check all that apply.The initial value is 3.
The initial value is 48.
The domain is x > 0.
The range is y >0.
The simplified base is 12.
The simplified base is 8.

Answers

Answer 1

Answer:

Answers:

These are the statements that apply:

The initial value is 3.

The range is y >0.

The simplified base is 8.

Explanation:

1) Given expression:

$f(x)=3(16)^{(3)/(4) x$

2) Check every statement:

a) The initial value is 3?

initial value ⇒ x = 0 ⇒

$f(0)=3(16)^(0)=3(1)=3$

∴ The statement is right.

b) The initial value is 48?

Not, as it was already proved that it is 3.

c) The domain is x > 0?

No, because the domain of the exponential functions is all the Real numbers.

d) The range is y > 0?

That is correct, the exponential function is continuous, and monotonon increasing.

The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.

e) The simplified base is 12?

This is how you simplify the base:

$3(16)^{(3)/(4) x}=3{{(16}^((3/4)))}^x=3(16^(3/4)})^(x)=3((2^4)^(3/4))^x=3(2^3)^x=3(8)^x$

Which shows that the simplified base is 8 (not 12).

f) The simplified base is 8?

Yes; this was just proved.

Answer 2

Answer:

Answer:

a,c,e

Step-by-step explanation:

Related Questions

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A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?
Which of the following functions has the largest value when x = 3? (1 point)c(x) = 3x2 + 5x + 22 j(x) = 12x a(x) = 9x All the functions are equal at x = 3. c(x) j(x) a(x)
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Write 10 12/5 as an equivalent improper fraction

Jordans have a rectangular garden. want to build a diagonal pathway across he garden. the length of pathway is 90 ft. width of garden is 5 times more than 2 times the length of garden. what is length of garden?

Answers

so we see the pythagorean theorem
a^2+b^2=c^2
diagonal=c
width=a or b, pick one
width=a
legnth=b
width is 5 times more than 2 times legnth of garden
w=5(2legnth)
this doesn't make sense since the legnth is normally longer than the width, but we'll stick with that
w=5(2l)
w=10l
a=10b
(10b)^2+b^2=90^2
100b^2+b^2=8100
101b^2=8100
divide by 101
b^2=80.198 aprox 80.2
square root
8.95533
legnth of garden =8.96
to find width subsitue
w=10l
w=89.56

legnth=8.96
width=89.56

P=2l+2w
w=5(2l)
45=10l
4.5=l
---------------
P=2l+2(5(2l))
P=2l+20l
P=22l
P=99

Which three measurements could be the lengths of the sides of a triangle? A.5cm,3cm,9cm
B.5cm,2cm,7cm
C.5cm,2cm,2cm
D.5cm,3cm,7cm

Answers

A). No. Even end-to-end, the 5 and the 3 couldn't cover the 9.

B). Technically yes, but not really. End-to-end, the 5 and the 2 would lay down
right on top of the 7. It would be a triangle with two angles of 0° and one angle
of 180°. The base would be 7, the height would be zero, and the whole thing
would just look like a piece of line.

C). No. Even end-to-end, the 2 and the other 2 couldn't cover the 5.

D). Yes. A cute little scalene triangle.

$a,b,c-lengts\ of\ the\ sides\ of\ a\ triangle\n\nIf\ a\leq b\leq c\ then\ a+b > c\n\nA.\n5+3=8\not>9-NO\nB.\n5+2=7\not>7-NO\nC.\n2+2=4\not>5-NO\nD.\n5+3=8 > 7-YES$

$Answer:D$

INVERSE PROPORTIONALITY ????q is inversely proportional to the square of t
when t = 5, q = 9.6
a) find the formula for q in terms of t
b) calculate the value of q when t = 8
c) when q = 2.4, calculate the value of t

Answers

easy peasy
if you had
y is inversely proportioal as x that means
y=k/x wher k is a constant

q is invesely peorportionto the square of t
q=k/(t^2)
t=5, q=9.6
easy peasy
subsiute and find k
9.6=k/(5^2)
9.6=k/25
mutiplyb oths ides by 25
240=k

the equation is
q=240/(t^2)
when t=8 then
q=240/(8^2)
q=240/64
q=3.75

q=2.4 find t
2.4=240/(t^2)
multiply both sides by t^2
2.4t^2=240
divide both sides by 2.4
t^2=100
square root both sides
t=10

a. q= $(240)/(t^(2))$
b. q=3.75
c. t=10

The toll on the Islands Bridge is $1.00 for carand driver and $.75 for each additional
passenger. How many people were riding in a
car for which the toll was $3.25?
(A) 2
(B) 3
(C) 4
(D) 5
(E) none of these

Answers

Answer:

C. 4

Step-by-step explanation:

1 dollar for the driver. 75 cents extra for each extra person.

1.00 + .75 + .75 + .75 (1 driver and 3 passengers) = 3.25.

Answer:

Step-by-step explanation:

your answer is B. 3

explanation: 1.00+0.75+0.75+0.75= $3.25

Provide an appropriate response.39) Find a set of 7 scores that has the same mean but a smaller standard deviation than the
set {65, 71, 77, 80, 82, 90, 96}.

Answers

You don't even have to look up the definition of 'standard deviation'. You only
have to remember that 'smaller standard deviation' means 'less spread-out'.

First, let's find the mean (average). It's not supposed to change:

1/7th of (65 + 71 + 77 + 80 + 82 + 90 + 96) = 561/7 = 80 and 1/7 .

Now, just pick 7 scores that total 561 and are all bunched up.

The easiest way would be 80, 80, 80, 80, 80, 80, 81 .
But that's so easy that it feels like cheating.

Let's say 77, 78, 79, 80, 81, 82, and 84 .

What's the answer for:
8u+8+8i=80