Hey there!
We're going to write the equation for this line in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. In order to write it in this form, as stated in the name, we need the slope and y-intercept. Since we have the slope given, we can use the points we have and set up that equation with the given slope to solve for b. We'll use the x and y values and throw them into the equation. We have:
-1 = 3/2(4) + b
-1 = 12/2 + b
-1 = 6 + 6
-6 = b
Now, since we have our slope and y-intercept, we can write our equation with these two values:
y = 3/2x - 6
Hope this helps!
Answer:
6.7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 2
Hypotenuse <em>c</em> = 7
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: x² + 2² = 7²
- Isolate <em>x </em>term: x² = 7² - 2²
- Exponents: x² = 49 - 4
- Subtract: x² = 45
- Isolate <em>x</em>: x = 3√5
- Evaluate: x = 6.7082
- Round: x ≈ 6.7
Monica's kitten weighs 1.15 more pounds than Maryan's kittens.
Answer:
Dont understands the lay out of this question.
Step-by-step explanation:
Please Explain in details.
Answer:
g(x) = f(3x) -15
Step-by-step explanation:
Let f(x) be the parent function.
If the function is to be compressed by a factor of 3 horizontally, we must obtain the value f(3) when x=1, for example. We can do that by using 3x as the argument of the function:
g(x) = f(3x)
If its graph is to be shifted downward by 15 units, every value produced by the function must have -15 added to it. That is, the shifted function is ...
g(x) = f(3x) - 15
_____
The attached graph shows an example function compressed horizontally and vertically shifted.