Answer:
8/3
Step-by-step explanation:
1. You have the following quadratic equation and to solve it, you must follow the steps below:
<span>
x</span>²<span>+3=9x
2. The form of the equation that you need to apply the quadratic formula, is:
ax</span>²+bx+c=0
<span>
3. Then:
</span>
x²<span>+3=9x
</span> x²-9x<span>+3=0
</span><span>
4. The quadratic formula is shown below:
x=(-b±√(b^2-4ac))/2a
5. Then, you have:
a=1
b=-9
c=3
6. When you substitute the values into the quadratic formula, you obtain:
x1=0.34
x2=8.65</span>
Answer:
Terrell drove 200 miles one way
Step-by-step explanation:
Since his trip concluded at 9 hours, let's say that x = time traveled at 40 mph
and 9 - x = time traveled at 50 mph
D = (rate) x (time)
<em>40x = 50(9 - x)</em> -----Use Distributive property on the right side of the equation
<em>40x = 450 - 50x</em><em> </em>-----Add 50x on both sides
<em>90x = 450</em> ------Divide by 90 on both sides
We end up with<em> x = 5 </em>which is the value we need to determine the distance of our first trip, calculated by
<em>D = 40x</em>, or <em>40(5) = 200 mi</em>
The the missing number so that the equation has infinitely many solutions will be 3.
<h3>How to illustrate the equation?</h3>
It should be noted that an equation shows the relationship that's exists between variables.
In this case, the missing number so that the equation has infinitely many solutions will be:
–3x _+= –3 (x–1)
-3(x - 1)
= -3x + 3
Therefore, the missing number is 3
Learn more about equations on:
brainly.com/question/2973832
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