A parabola makes a U shape and the y-axis goes right through the middle
Answer: m = 5/14
Step-by-step explanation:
Let's solve your equation step-by-step.
<span><span><span>−<span>x^2</span></span>−<span>2x</span></span>=5
</span>Step 1: Subtract 5 from both sides.
<span><span><span><span>−<span>x^2</span></span>−<span>2x</span></span>−5</span>=<span>5−5
</span></span><span><span><span><span>−<span>x^2</span></span>−<span>2x</span></span>−5</span>=0
</span>Step 2: Use quadratic formula with a=-1, b=-2, c=-5.
<span><span><span><span>
</span></span></span></span><span>x=(<span><span>2±<span>√<span>−16)/</span></span></span><span>−<span>2</span></span></span></span>
Answer:
advance tickets $30.00
same day tickets $35.00
Step-by-step explanation:
1. In this equation, you are trying to find two values so you must use system of equations. Your two equations would be:
40x +20y = 1900
x + y = 65
x represents the price of advance tickets and y represents the price of same day tickets.
2. Solve the equation by performing elimination using multiplication. Multiple one equation by a constant to get two equations that contain opposite terms.
40x + 20y = 1900
-40(x + y = 65) → -40x + -40y = -2600
3. Add the equations, eliminating one variable. (add -40x + -40y = -2600 to 40x + 20y = 1900)
40x + 20y = 1900
+ -40x + -40y = -2600
Results in: -20y = -700
Solve for y by dviding both sides by -20.
y = 35
4. Substitute the solved value into one of the equations and solve for the remaining variable.
x + 35 = 65
Subtract 35 from both sides to solve for x.
x = 30
The advance tickets were $30.00 and the same day tickets were $35.00.
Answer:
Test scores
Step-by-step explanation:
In this example, there are two variables that are being analyzed: the review session that the professor is providing and the test scores of the students. The review session is the independent variable. This is because it is the variable that we can manipulate and that we have control over. On the other hand, the test scores is the variable that <em>depends</em> on whether the students received the review session or not. This makes it the dependent variable.
