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3 years ago

ANSWER ASAP

1 answer:

Nadusha1986 [10]3 years ago

6 0

Y=mx+b
m=0.5
b is value of y in y-intercept, b=-2

The equation of this line is
y=0.5x-2

When x=4
y=0.5x-2=y=0.5*4-2=2-2 = 0
When x=4, y=0.

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Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

3 years ago

How to factor the algebraic expression 24a + 28

bonufazy [111]

So use undistributive properyt]
ab+ac=a(b+c)
so factor 24a dadn 28 to find 'a' the common factor
24=2 times 2 times 2 times 3 tiems a
28=2 times 2 times 7
common one is 2 itmes 2=4
a=4
4(2 times3 times a)+4(7)=4(6a)+4(7)=4(6a+7)

7 0

3 years ago

What is the quotient in simplest form? 8 Over 3 divided by two-thirds

Darina [25.2K]

Answer:

Step-by-step explanation:

8/3 ÷ 2/3

8/3 * 3/2

7 0

3 years ago

Arrange these numbers in increasing order: 216,000,000, 2.2 × 10 to the 3rd power, 3.1 × 10 to the 7th power, 310,000

ziro4ka [17]

216,000,000
2.2 × 10 to the 3rd power = 2.2 * 10^3 = 2,200
3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
310,000

Increasing order:
2,200 , 310,000 , 216,000,000 , 31,000,000

So increasing order with original numbers:
2.2 × 10 to the 3rd power, 310,000, 216,000,000, 3.1 × 10 to the 7th power

7 0

3 years ago

Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $60.00 8% ? The sa

BlackZzzverrR [31]

Answer: Sales tax is $4.80 and the total cost is $64.80

Step-by-step explanation: Take the difference in the total before and after tax and divide by the price before tax.

To get $4.80, find the sales tax of $60.00 of 8%

We can use this formula: (selling price x sales tax rate)

The sales tax is: $4.80

To find the total cost, add 60.00 by the sales tax. ($4.80)

60.00 + 4.80 = $64.80

Therefore, these are your answers: $4.80 and $64.80

7 0

3 years ago

Read 2 more answers