All categories

1 year ago

Keshawn is asked to compare and contrast the domain and range for the two functions.

2 answers:

6 0

He could include two statements:
- The domain of both functions is all real numbers.
- The range of g ( x ) is y > 0

iVinArrow [24]1 year ago

3 0

Answer:

Hence, option 1 is correct.

Hence, last option is correct.

Step-by-step explanation:

We have given two function

$f(x)=5x$ and $g(x)=5^x$

Domain is the values x can take and

And range is the values y can take

Hence, x can take any real value in both the functions in f(x) and g(x)

Hence, option 1 is correct

Now, for range

range of f(x) can be any real number

But range of g(x) can be positive number

Hence, last option is correct.

Rest all options are incorrect.

You might be interested in

Pada suatu deret geometri diketahui suku ke-3 = 18 dan suku ke-6 = 486. suku pertama pada deret tersebut adalah...

Digiron [165]

A . r^(3-1) = 18
a . r^2 = 18...... (i)

a . r^(6-1) = 486
a . r^5 = 486 ...... (ii)

dengan membuat perbandingan dari kedua persamaan diperoleh:
r^2/r^5 = 18/486
1/r^3 = 1/27
r^3 = 27
r = akar pangkat 3 dari 27
r = 3

dari persamaan <span>a . r^2 = 18...... (i)
a . 3^2 = 18
a . 9 = 18
a = 18/9 = 2</span>

3 0

1 year ago

PLEASE HELP ME OUT PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

charle [14.2K]

If they sold 10 hammers and each hammer sells together with a package of nails for $12, that would be $120 total. Now subtract that from $950.50 and you get $830.50. Divide that by the remaining packages of nails sold (110 because you already sold 10 together with the hammers) and you get $7.55. Each package of nails sold for $7.55. Hope that helps!

8 0

1 year ago

Ethan Makes $6 per hour mowing lawns and $7.50 per hour bagging groceries. last week, he made a total of $129. the difference be

zlopas [31]

Let x be the number of hours of nagging groceries spent by Ethan. With this representation, the number of hours for moving lawns will be x + 10. The equation that would let us solve this item is,

6x + 7.50(x + 10) = 129

The value of x from the equation is 4. Thus, the number of hours spent for moving lawns is 14 hours.

4 0

2 years ago

Read 2 more answers

Peter Johnson, the CFO of Homer Industries, Inc is trying to determine the Weighted Cost of Capital (WACC) based on two differen

Rzqust [24]

Answer:

Scenario 1 has WACC of 7.93%

Scenario 2 has WACC of 10.33%

Step-by-step explanation:

WACC=Ke*E/V+Kp*P/V+Kd(after tax)*D/V

Ke is the cost of equity =13%

Kp is the cost of preferred stock=10%

Kd(after tax) is the cost of debt of 8% adjusted for tax as below:

Kd(after tax )=Kd(before tax)*(1-t)

t is the tax rate of 30% or 0.3

Kd(after tax)=8%*(1-0.3)=5.60%

E is equity value,which is $1.8 million under scenario 1 and $3.8 under scenario 2

P is the value of preferred stock which is $1.2 million and $2.2 million respectively

D is the value of debt which is $5 million and $2 million

V=total value of capital structure=$8 million in both cases.

Scenario 1 WACC

WACC=13%*1.8/8+10%*1.2/8+5.6%*5/8=7.93%

Scenario 2 WACC

WACC=13%*3.8/8+10%*2.2/8+5.6%*2/8=10.33%

7 0

1 year ago

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least

evablogger [386]

We can let r be the number of food tickets and f be the number of food tickets. Since Alana can spend at most $40, that means the total of price bought for r and f must be less than or equal to $40. In addition, since Alana buys at least 16 tickets, this also means that the total of r and f is 16. Mathematically, we have these inequalities: (1) 4r + 2f ≤ 40 and (2) r + f ≥ 16 Multiplying -2 in (2), we have 4r + 2f ≤ 40 -2r - 2f ≤ 32 Adding both inequalities, 2r ≤ 8 r ≤ 4 Since r must be less than or equal to 4.Thus the answer is <span>A.</span>

5 0

1 year ago

Read 2 more answers