The x-intercepts are (-2, 0) and (2, 0), the minimum is at (0, -3), and the line of symmetry is x = 0 if the equation of the parabola is y = x²—4
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
Here the graph or equation is not given:
So we are assuming the equation for the parabola is:
y = x²—4
If we plot the graph of the parabola, we can say:
- The x-intercepts are (-2, 0) and (2, 0)
- The minimum is at (0, -3)
- The line of symmetry is x = 0
Thus, the x-intercepts are (-2, 0) and (2, 0), the minimum is at (0, -3), and the line of symmetry is x = 0 if the equation of the parabola is y = x²—4
Learn more about the parabola here:
brainly.com/question/8708520
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I'm pretty sure it's the second option.
m= -1/3; b= -6
Answer:
s = 1
t = -10
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
15s + t = 5
4s = 3t + 34
<u>Step 2: Rewrite</u>
15s + t = 5
- Subtract <em>t</em> on both sides: 15s = -t + 5
- Multiply both sides by 3: 45s = -3t + 15
<u>Step 3: Redefine Systems</u>
45s = -3t + 15
4s = 3t + 34
<u>Step 4: Solve for </u><em><u>s</u></em>
<em>Elimination</em>
- Combine equations: 49s = 49
- Divide 49 on both sides: s = 1
<u>Step 5: Solve for </u><em><u>t</u></em>
- Define equation: 15s + t = 5
- Substitute in <em>s</em>: 15(1) + t = 5
- Multiply: 15 + t = 5
- Isolate <em>t</em>: t = -10
To answer this, set up a system of equations. What we know is that
5x + 2y = 100
And...
x+y=38
x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions
In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).
So,
x+y=38
Subtract x from both sides
y=38-x
Now, plug (38-x) in as y in the other equation.
5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8
Now that you know that x=8, you can solve for y.
5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
---- ------
2 2
y=30
X=8
Y=30
There are 8 five point questions on the test and 30 two point questions on the test
Answer:
$98
Step-by-step explanation:
70 is the original price, but the mark up is 40%. So, 40% of 70 is 28
$70 + $28 = $98