Please help solve and explain this

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Answer 1

Answer:

can you put the whole question here

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If a function is defined by the formula y=1/2x + 3 and its domain is given by the set {-4,0,8}, then which of the following sets gives the function's range?

Answers

Answer:

y = {1, 3, 7}

Step-by-step explanation:

Given

y = ½x + 3

Domain: {-4, 0, 8}

Required

Determine the range of the function

To do this, we simply substitute each value of the domain in the given expression

We start with the first

Substitute -4 for x in y = ½x + 3

y = ½ * -4 + 3

y = -2 + 3

y = 1

Then 0

Substitute 0 for x in y = ½x + 3

y = ½ * 0 + 3

y = 0 + 3

y = 3

Lastly, 8

Substitute 8 for x in y = ½x + 3

y = ½ * 8 + 3

y = 4 + 3

y = 7

Hence, the range of the function is:

y = {1, 3, 7}

Answer:1,3,7

Step-by-step explanation:

At Food Lion, an 8-ounce container of Daisy sour cream is $1.52. Kraft sour cream sells for $2.92 for 12 ounces. Which is the better buy and by how much?

Answers

Answer:

The 8-ounce container of daisy sour cream

Step-by-step explanation:

It's the 8-ounce container of Daisy sour cream because if you buy two of those, it would cost $3.04 for 16 ounces. If you bought one Kraft sour cream for 12 ounces, it would be $2.92. So you can get two 8-ounce containers of Daisy sour cream near the price of the price for the Kraft sour cream for $2.92. You would have to pay an extra 12 cents if you want 16 ounces of sour cream.

For the function y=ln(x-1)+2 which of the following statements is truea. the domain is all real numbers and the range is [2, infinity)
b. the domain is (-1, infintity} and the range is all real numbers
c. the domain is (1, infinity) and the range is [2, infinity)
d. the domain is (1, infinity) and the range is all real numbers

Answers

For the function $y = ln(x-1) + 2$ , statement d is true. The domain is (1, ∞) and the range is all real numbers.

A function is an expression or a rule establishing a relationship between two sets or two variables, where one is independent and another is dependent.

The set of values you input into the data as the independent variable is called the domain of the function.

The set of possible outputs of the function, the dependent variable, is called the codomain of the function.

The set of elements part of the dependent variable that actually comes out of the function as output is called the range of the function.

Given function, $y = ln(x-1) + 2$

The domain of the function is what you can put into x.

for ln(x-1) to be defined, x-1 > 0 implies that x > 1

Thus the domain of function becomes (1, ∞).

The range of the function is what you get as y.

if 1 < x < 2, 0 < x-1 < 1, ln(x-1) < 0, thus $y = ln(x-1) + 2$ will have a value y < 2, maybe even negative.

if x = 2, x-1 = 1, ln(x-1) = ln(1) = 0, making y = 2

if x > 2, x-1 > 3, ln(x-1) > 0, making y >2.

Thus the range of function becomes (-∞, ∞).

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Answer:

d. the domain is (1, infinity) and the range is all real numbers

Step-by-step explanation:

The domain of a logarithmic function

$f(x)=\ln(x)$

is the set of all positive numbers

$D:\ x>0\Rightarrow x\in\mathbb{R}^+$

The range of a logarithmic function

$f(x)=\ln(x)$

is the set of all real numbers

$R:\ y\in\mathbb{R}$

We have:

$y=\ln(x-1)+2$

DOMAIN

$x-1>0$ add 1 to both sides

$x-1+1>0+1\n\nx>1$

$D:x>0\Rightarrow x\in(1,\ \infty)$

RANGE

$f(x)=\ln(x)\to f(x)+2=\ln(x)+2$

The graph shifted 2 units up. The range no change.

$R:\ y\in\mathbb{R}$

Hi i have a question can younplease help me

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Answer:15

Step-by-step explanation:

6th grade math look at the pictures

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Answer:

2. 17.624

3. 9.72

4. 14.3

5. 2.11

8. 5,105.16

10. 124.7

Step-by-step explanation:

Answer:

use a calculator.

Step-by-step explanation:

What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?

Answers

The common difference of the given A.P. is -2.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is an arithmetic sequence?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -

a[n] = a + (n - 1)d

We have the following sequence 10, 8, 6, 4, ... .

We have -

10, 8, 6, 4, ...

The common difference of the given A.P. is -

d = 8 - 10 = 6 - 8 = 4 - 6

d = - 2

Therefore, the common difference of the given A.P. is -2.

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Answer: