X-intercepts are found by factoring. Use the quadratic formula on the first since it's in standard form and you find that your x values are in fact -3 and 7. For the second one, use the Zero Product Property that says that x - 3 = 0 or x + 7 = 0. Therefore, x = 3 and -7. Signs are wrong. So not the second one. As for the third one, if you factor out a 3, your polynomial is exactly the same as the first one which did give us the desired x values. So the third one checks out. If you FOIL out the first one and then apply the quadratic formula you do get x = 3 and -7. So the fourth one checks out too. For the last one, putting it into the quadratic formula gives you x values of 3 and -7, so no to that one. Summary: 1st, 3rd, 4th have zeros of -3 and 7; 2nd and 5th do not.
Step-by-step explanation:
<u>Step 1: Set x equal to 0 to find the y-int</u>
→ Not an exponential equation
→ 10,000 → Works for first test
→ 10,000 → Works for first test
→ 10,000 → Works for first test
<u>Step 2: Set x equal to 1</u>
→ 6,000 → Works for second test
→ 4,000 → Does not work for the second test
→ 14,000 → Does not work for the second test
Answer: The answer is Option B
Answer:
Inequality Form: m<7/3
Interval Notation: -∞, 7/3
Answer:
10.82 revolutions per mintue
Step-by-step explanation:
First we need the circumference of the cirkel. As you may know the formula for that is 2×pi×r, with r as the radius of the cirkel. So 2×pi×15=30pi centimeters or 94.24 centimeters. Now we will calculate the fraction of 17 centimeters on 94.24 centimeters. 17/94.24=0.18. That is how fast the wheel will spin. To get it in minutes we now do: 0.18×60=10.82 revolutions per minute.
Answer:
Step-by-step explanation:
The inequality equation can be determined by using the concept of arithmetic progression;
a(n) = a₁ + (n-1)d
where;
a(n) = 1000
a = 200
d = 50
The inequality will be:
1000 = 200 + ( n - 1) 50
1000 = 200 + 50n - 50
1000 = 150 + 50 n
1000 - 150 = 50 n
850 = 50 n
n = 850/50
n = 17 months
So, if Ms. Thomas is planning to have more than $1000 in her account, she will need to save for 17 moths before she can buy the phone.
