Hi! I need the answers to this quick! The equation of the graph shown is y=ax+b, where a and b are real numbers. What is true about a and b?

Answers

Answer 1

Answer:

Final answer:

'a' and 'b' in the equation y=ax+b are real numbers, where 'a' is the slope of the line and 'b' is the y-intercept.

Explanation:

In the linear equation y = ax + b, 'a' and 'b' are constants or real numbers. The value of 'a' determines the slope of the line, meaning whether the line rises or falls as it progresses along the x-axis. If 'a' is positive the line rises, if 'a' is negative, the line falls. The value of 'b', on the other hand, is the y-intercept. This is the point at which the line crosses the y-axis. So, in essence, 'a' indicates the tilt of the line whereas 'b' defines where it intersects the y-axis.

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A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer. Write the specification as an absolute value inequality.
Consider the following set of equations:Equation A: y = 2x + 4 Equation B: y = 3x + 1 Which of the following is a step that can be used to find the solution to the set of equations? 2x + 4 = 3x + 1 2x = 3x + 4 2x + 4 = 3x 2x + 1 = 3x + 4
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At 7 A.M the temperature was 4 .At 9A.M it was a degrees warmer. What was the temperature at 9 A.M

To find the value of a mathematical expression using the order of operations is to?

Answers

Answer:

evaluate

Step-by-step explanation:

I think your looking for PEMDAS. Typical you would find the value of the ,ath expression using PEMDAS. PEMDAS stands for Parentheses Exponents Multiplication Division Addition Subtraction. When using PEMDAS (order of operation) you have to use each letter in order, So look for parentheses and if their aren't any look for the exponents which would look like $x^(2)$ then you would do all multiplication and division then addition and subtractions

A quadratic equation is shown below:x2 − 8x + 13 = 0

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?
Subtract 5 from both sides of the equation

Add 3 to both sides of the equation

Add 5 to both sides of the equation

Subtract 3 from both sides of the equation

Answers

The given quadratic equation can be represented in the form $(x-p)^2 = q$

by adding 3 to both sides of the equation.

What is a quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by

$ax^2 + bx + c = 0$

where $a\neq 0$ .

The given quadratic equation is

$x^2 - 8x + 13 = 0$

Case 1: Subtract 5 from both sides of the equation

i.e. $x^2 - 8x + 13 - 5 = 0 - 5$

⇒ $x^2 - 8x + 8 = -5$

The LHS of the above equation can not be expressed in $(x-p)^2$ form. Hence, it is not the correct step.

Case 2: Add 3 to both sides of the equation.

i.e. $x^2 - 8x + 13 +3 = 0 + 3$

⇒ $x^2 - 8x + 16 = 3$

⇒ $x^2 - 2* x * 4 + (4)^2 =3$

⇒ $(x - 4)^2 = 3$

The above equation is expressed in $(x-p)^2 = q$ form where p = 4 and q = 3.

Case 3: Add 5 to both sides of the equation

i.e. $x^2 - 8x + 13 + 5 = 0+5$

⇒ $x^2 - 8x + 18 = 5$

The LHS of the above equation can not be expressed in the $(x-p)^2$ . Hence, it is not the correct step.

Case 4: Subtract 3 from both sides of the equation

i.e. $x^2 - 8x + 13 - 3 = 0-3$

⇒ $x^2 - 8x + 10 = -3$

The LHS of the above equation can not be expressed in the $(x-p)^2$ . Hence, it is not the correct step.

Hence, "Add 3 to both sides of the equation" is the correct step.

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Add 3 to both sides, so you will have

x^2 - 8x + 13 + 3 = 3
x^2 -8x + 16 = 3

And now the left side is a perfect square trinolmial: (x-4)^2.

Darnell’s house was valued at $134,670 and it appreciated 3 percent per year. What is its value after 2 year? Round to the nearest dollar. A: $8,201 B:$142,871 C:$126,939 D:$277,541

Answers

Answer:

Option B is correct.

Step-by-step explanation:

Given: Value of House, P = $ 134,670

Rate of depreciation, R = 3% per year

Time, T = 2 years ⇒ n = 2

To find: value of house after 2 year that is A.

We know that

$A=P(1-(R)/(100))^n$

$A=134670(1+(3)/(100))^2$

$A=134670*1.0609$

A = 142871.403

A = $ 142871

Therefore, Option B is correct.

134,670×(1+0.03)^(2)=142,871

4 rational numbers between 3/8 and 2/5

Answers

Step-by-step explanation:

3/8 = 15/40= 75/200

2/5 = 16/40 = 80/200

-> 4 rational numbers between 75/200 and 80/200 are 76/200, 77/200, 78/200, 79/200

Quick question!!!!!!!

Answers

Answer:

72.5

Step-by-step explanation:

A person came to work at 8:30 AM, went out at 11:45 AM, had lunch, came in at 12:30 PM, and left work at 5:15 PM. The total number of hours worked by this person was

Answers

Answer:

8 hours and 30 minutes ight.

Step-by-step explanation:

Some math and adding and stuff I did it in my head.

Answer:

Step-by-step explanation:

8 hours 30 minutes

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