Answer:
x = -0.683 (3dp)
x = -7.317 (3dp)
Step-by-step explanation:
<u>Step 1: Apply the quadratic formula</u>
(-b±(
)) / 2a
a = 1 <em>(x²)</em>
b = 8 <em>(8x)</em>
c = 5 <em>(5)</em>
(-8±(
)) / 2 x 1
<u>Step 2: Simplify</u>
(-8±(
)) / 2
<u>Step 3: Solve</u>
You need to replace the ± with first a + and then a -.
(-8+()) / 2 = -0.683 (3dp) = x
(-8-()) / 2 = -7.317 (3dp) = x
Hope this helps!
Answer:
<u>George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
George fell asleep a fifth of the way
He awoke up when he still had to travel a quarter of the distance that he had traveled while sleeping
2. For what part of the journey had he been asleep?
George fell asleep a fifth of the way: 1/5 of the total distance traveled and 4/5 of the distance away from his grandma
When he awoke up = 1/4 * 4/5 = 1/5
He had been asleep = 5/5 - 1/5 -1/5 = 3/5
<u>It means George fell asleep when he had traveled 1/5 of the total distance, slept 3/5 of the distance and he awoke up when he's still 1/5 away from his grandma</u>
Answer:
24
Step-by-step explanation:
well yea just trust me :)
Answer:
y<-2x-3
Step-by-step explanation:
Your first step is to find the equation of the line. You can see that the y-intercept is -3, therefore your b is -3. So now your formula looks like this:
y=mx-3
To find m, you substitute in an x value and its corresponding y value. When you do this you will get -2.
Now it looks like this:
y=-2x-3.
Now that you have the equation of the line, you can look at the inequality. Since the line is dotted, that means it is not included in the inequality. That mean it cannot contain an equal to. So the only options we have are < and >. Since the shaded area is to the left, which is the negative side, we can conclude that y<-2x-3 is the correct equation.
HOPE THAT THIS IS HELPFUL!
Last year He was 7 years old.
His father is 4 times the age 7 x 4 = 28
Last year his dad was 28, so this year he is 29.
Combined age this year = 29 + 8 = 37
51 - 37 = 14 years
14/ 2 people = 7 years
8 + 7 = 15
29 + 7 = 36
15 + 36 = 51
It will take 7 years.
