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2 years ago

What is the range of the function f(x)=(x-4)^2-5

Mathematics

2 answers:

Ksivusya [100]2 years ago

5 0

The answer to this question is a

uranmaximum [27]2 years ago

4 0

f(x) = (x - 4)^2 - 5

Vertex (4 , -5)

This function opens upward and has min. value = -5

So range y >= - 5

So answer is A. -5 <= f(x) < ∞

You might be interested in

Evaluate: 2x + 5x - 11 = -46

TiliK225 [7]

Answer:

x=-5

Step-by-step explanation:

Combine like terms: 7x-11=-46

Add 11 to -46: -35

Divide: 7x/-35

ANSWER: x=-5

4 0

2 years ago

a truck weighs 5,400 pounds. An open-wheel race car weighs 1/4 as much. how much does the race car weigh

gtnhenbr [62]

Since 1/4 is equal to 0.25 than you would do 5,400 times 0.25 and get the answer of 13,500.0. So the race car weighs 13,500 pounds.

3 0

3 years ago

Read 2 more answers

A) Model this situation with a linear system:

sergejj [24]

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0

3 years ago

The inequality x - y > 0 is satisfied by point (-1, 1).<br><br> T/F

Mekhanik [1.2K]

-2 is not greater than zero, so, the point don't satisfy the inequality x - y > 0

Hence correct option is false.

Step-by-step explanation:

We need to identify the point (-1,1) satisfies the inequality x - y > 0

Solving:

The value of x = -1 and y =1

Putting values in the inequality:

$x-y>0\\-1-1>0\\-2>0\,\,false$

-2 is not greater than zero, so, the point don't satisfy the inequality x - y > 0

Hence correct option is false.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

7 0

3 years ago

An investment services company experienced dramatic growth in the last two decades. The following models for the company's reven

zlopas [31]

Answer: a) 138.32 and b) 35 years approx.

Step-by-step explanation:

Since we have given that

$R(t)=21.4e^{0.13t}\\\\C(t)=18.6e^{0.13t}$

So, Profit is given by

$Profit=R(t)-C(t)\\\\Profit=21.4e^{0.13t}-18.6e^{0.13t}\\\\Profit=e^{0.13t}(21.4-18.6)\\\\Profit=2.8e^{0.13t}$

Difference in years of 1990 and 2020=30

So, Profit becomes :

$P(30)=2.8e^{0.13\times 30}\\\\P(30)=2.8\times 49.40\\\\P(30)=138.32$

(b) How long before the profit found in part (a) is predicted to double? (Round your answer to the nearest whole number.) years after 1990.

So, profit doubles , we get :

$138.32\times 2=2.8e^{0.13t}\\\\276.65=2.8e^{0.13t}\\\\\dfrac{276.65}{2.8}=e^{0.13t}\\\\98.80=e^[0.13t}\\\\\ln 98.80=0.13t\\\\4.593=0.13t\\\\\dfrac{4..593}{0.13}=t\\\\35.33=t$

Hence, a) 138.32 and b) 35 years approx.

6 0

3 years ago