To simplify <span>2x + 8 = -6, the easiest way is to manipulate the equation one step at a time:
</span>2x + 8 = <span>-6
</span>2x = <span>-14 (subtract 8 from both sides)
</span>x = -7 (divide both sides by 2)
The fraction of the box of pancake that eliza used is; 1/8.
<h3>What are fractions?</h3>
We are told that the box of pancake mix has 6 cups.
Now, Eliza uses 3/4 of a cup for a recipe.
Since there are 6 cups in the box, it means the fraction of the box of pancake that Eliza used is;
(3/4)/6 = 3/24 = 1/8
In conclusion, the fraction of the box of pancake that eliza used is 1/8.
Read more about fractions at; brainly.com/question/122227
Set up a ratio:
You drove 72 minutes and 100 km = 72/100
You want the number of minutes (x) to drive 150 km = x/150
Set the ratios to equal each other and solve for x:
72/100 = x/150
Cross multiply:
(72 * 150) = 100 * x)
Simplify:
10,800/100x
Divide both sides by 100:
x = 10800/100 = 108
This means it would take 108 minutes to drive 150 km.
Now subtract the time you have already driven to fin how much more you need:
180 - 72 = 36 more minutes.
What I think: Use this, please excuse my dear aunt Sally, e= exponent my=multiplication. 4 to the tenth power (10,000) times 3 is equal to 30,000 which means they all get 10,000 minutes (I Think)
Answer:
y = 3
Step-by-step explanation:
The vertex of the parabola is (1,4) and the axis of the parabola is parallel to the positive y-axis.
So, the equation of the parabola will be (x - 1)² = 4a(y - 4) ....... (1)
Now, we have to get the value of a since the equation id the directrix is y = 4 - a.
Now, the parabola passes through the point (3,5) {Obtained from the graph).
Therefore, from equation (1), we get, 2² = 4a × 1, ⇒a = 1
Therefore, the equation of the directrix is y = 4 - 1 = 3. (Answer)