Given f(x) = x² - 10x + 22, what is the domain of f?

Answers

Answer 1
Answer:

Answer:

The domain for given function is \:\left(-\infty \:,\:\infty \:\right)

Step-by-step explanation:

Given : f\left(x\right)\:=x^2-10x+22

We have to find the domain of the given function.

Domain of a function is defined as a set of value for which the value of function is real and defined.

Consider the given function f\left(x\right)\:=x^2-10x+22

Since there is no points for x where the function f(x) is non defined.

Hence, whole number line is the domain for the given function.

\text{Domain} :-\infty \:<x<\infty

In interval form it is written as \:\left(-\infty \:,\:\infty \:\right)

Thus, the domain for given function is \:\left(-\infty \:,\:\infty \:\right)

Answer 2
Answer:

Answer:

The domain of f in interval notation is (-∞,∞)

Step-by-step explanation:

The domain of a function refers to the set of x-values for which the function is defined and is real as well. Given that this is a quadratic function and not a rational function, then the function lacks points of discontinuity. The function is continuous everywhere. In short, the function has no undefined points nor domain constraints


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Use The distributive property to write an expression equivalent to 5 x (3 +4)

Answers

The equivalent expression of 5 × (3 + 4) using the distributive property is;

(5 × 3) + (5 × 4) = 35

We are given the expression;

5 × (3 +4).

 

Distributive property simply means we want to distribute a number outside a bracket to the numbers inside the same bracket. For example, we have

p × (q +  r)

Using distributive property, we will have;

p × (q +  r) = (p × q) + (p × r)

Applying the example used above to our question, we have;

5 × (3 + 4) = (5 × 3) + (5 × 4)

⇒ 15 + 20

⇒ 35

Thus, in conclusion, the equivalent of 5 × (3 + 4)  using distributive property is (5 × 3) + (5 × 4) = 35

Read more at; brainly.com/question/2118428

Answer:

5 * 3 + 5 * 4 = 35

Step-by-step explanation:

Given  :  5 x (3 +4).

To find : The distributive property to write an expression equivalent.

Solution : We have given 5 x (3 +4).

Using Distributing property : a ( b +c ) = a *b + a* c .

5 x (3 +4) = 5 * 3 + 5 * 4 .

5 * 3 + 5 * 4 = 15 + 20 = 35 .

Therefore, 5 * 3 + 5 * 4 = 35

Ellie uses 27 feet of fabric to make 48 doll dresses. she uses the same amount of fabric to make each dress. How many yards of fabric did Ellie use to make each dress?

Answers

If a yard is 3 feet and Ellie has 27 feet, she has 9 yards. If there are 48 dresses made and 9 yards total, 9/48 feet per dress is your answer.

The fuel tank in Mr. Swenson’s car holds 16.5 gallons of fuel.The car consumes 1 gallon of fuel for each 24.3 miles driven.
Mr. Swenson started a trip of 250 miles with a full tank of fuel.
Abouthow much fuel remained at the end of the trip?

Answers

Given:
Fuel tank : 16.5 gallons of fuel
1 gallon = 24.3 miles
250 miles traveled

250 miles / 24.3 miles = 10.29 
10.29 * 1 gallon = 10.29 gallons

16.5 gallons - 10.29 gallons = 6.21 gallons of fuel remaining. 

16.5 gallons * 24.3 miles = 400.95 miles
400.95 miles - 250 miles = 150.95 miles
150.95 miles / 24.3 miles = 6.21 gallons of fuel remaining

Javier drove 45 miles. This represents 60% of his entire trip. What is the total number of miles in Javier's trip?

Answers

60% of trip = 45 miles

let total trip distance = l

60% is given by multiplying by 0.6

So;

0.6l = 45 \n  \n  l = (45)/(0.6)  \n  \n \boxed{l = 75}


.6x=45     .6=3/5    3x/5=45  x=(5/3)*45     x=75    the total miles in his trip is 75 

Emma ate 6 slices of pizza. She ate 3/4 of the entire pizza. How many slices of pizza were there in all?

Answers

To solve this you divide 6 by 3/4
6/1 ÷ 3/4
invert and multiply
6/1 × 4/3 = 24/3
simplify and you get 8 
She ate eight slices of pizza

3/11 as a decimal using long division

Answers

there are two ways to do this

1.
 = 3/11

= 3 ÷ 11

= 0.272727

2.
First off, we'll interpret the fraction bar to mean "divided by." This means that 3/11 is the same as 3 divided by 11.
Second, you have to 6 decimal places in your answer, so we'll write the 3 as 3.000000 instead (a 3 with 6 zeros after the decimal point).
Now, we'll just do what the fraction bar says: divide 3.000000 by 11

Answer:

0.27

Step-by-step explanation:

1/3=0.3

1/10=0.1

3/11=0.27