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3 years ago

The graph of f (x)= x² has been translated 4 units down.

Mathematics

1 answer:

weeeeeb [17]3 years ago

4 0

Answer:

the new equation is f(x)=x^2-4

vertex- (0,-4)

zeros- (-2,2)

y-intercept- (-4)

and it has a minimum

Step-by-step explanation:

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What is the largest possible integral value in the domain of the real-valued function

kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Calculus

Antiderivatives
Integral Property: $\int {cf(x)} \, dx = c\int {f(x)} \, dx$
Integration Method: U-Substitution
[Integration] Reverse Power Rule: $\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C$

Step-by-step explanation:

Step 1: Define

$f(x) = \frac{1}{\sqrt{800-2x} }$

Step 2: Identify Variables

Using U-Substitution, we set variables in order to integrate.

$u = 800-2x\\du = -2dx$

Step 3: Integrate

Define: $\int {f(x)} \, dx$
Substitute: $\int {\frac{1}{\sqrt{800-2x} } } \, dx$
[Integral] Int Property: $-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx$
[Integral] U-Sub: $-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du$
[Integral] Rewrite: $-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du$
[Integral - Evaluate] Reverse Power Rule: $-\frac{1}{2}(2\sqrt{u}) + C$
Simplify: $-\sqrt{u} + C$
Back-Substitute: $-\sqrt{800-2x} + C$
Factor: $-\sqrt{-2(x - 400)} + C$

Step 4: Identify Domain

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0

3 years ago

HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE thankkyouu

VikaD [51]

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

= 100 + 480

= 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

= 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

6 0

2 years ago

Solve step by step! Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!

Colt1911 [192]

Answer:

X is an acute angle, which means it is less than 90*, so it is probably 45*

Step-by-step explanation:

I was confused at first but then, I’m just like, I can solve this!

3 0

2 years ago

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As she drove down the icy Road Miss Campbell slammed on her breaks her car did a 360 explain what happened to her car

meriva

Answer:

The friction that the car usually uses to stop(a rough and hard ground) was null and void, so the car spun uncontrollably.

3 0

3 years ago

1 minute is equal to 60 seconds. How many seconds are in 4 minutes, 14 seconds?

Svet_ta [14]

Answer:

254 seconds

Step-by-step explanation:

If 1 minute = 60 second

then

60 x 4 = 240 second

then add 14

240 + 14 = 254

Therefore, there are 254 second in 4 minutes and 14 seconds

7 0

3 years ago

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