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ZanzabumX [31]
3 years ago
11

How to solve this problem?

Mathematics
1 answer:
OverLord2011 [107]3 years ago
6 0
What happens when a quadratic function touches the x-axis only once?  It means that the quadratic function has only one real zero.  So which formula should we use? How about the almighty quadratic formula?

So when does the quadratic formula give you only one real zero? When the discriminant is equal to zero!

The discriminant is: b²-4ac

In our quadratic equation that means:
b = (3+m)
a = 4
c = 1

Thus, we need to solve: (3+m)²- 4*(4)*(1) = 0

m²+ 6m + 9 - 16 = 0
m² + 6m - 7 = 0
(m+7)(m-1) = 0
m = -7, 1

That's it! Plug back in and graph to see that it actually works!
You might be interested in
Write the percentage below as a decimal. 15%
Nadya [2.5K]

Answer: 0.15.

Step-by-step explanation:This is the same as moving the decimal point two places to the left. For example, 15% is equivalent to the decimal 0.15. Notice that dividing by 100 moves the decimal point two places to the left.

6 0
3 years ago
HELP GIVING 20 POINTS
Olenka [21]

Answer:

The total cost as $96

Step-by-step explanation:

To find the total amount find the tax amount and the tip amount

75 * 8% = 6

75 * 20% = 15

add 6 and 15 to 75 to get 96

5 0
2 years ago
Read 2 more answers
Ok So I an taking algebra 1 and this question is really confusing me.
V125BC [204]
You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!

7 0
3 years ago
what is the least whole number that has the remainders 10,12, and 15 when divided by 16, 18. and 21, respectively
AnnZ [28]

Answer:

1002

Step-by-step explanation:

First find difference between the divisors and remainders.

16-10=6\\18-12=6\\21-15=6

Here, the difference between the divisors and remainders is equal.

So, the required number is equal to LCM of (16,18,21)-6

16=2^4\\18=2(3^2)\\21=3(7)

LCM of (16,18,21)=2^4(3^2)(7)=1008

Required Number =1008-6=1002

7 0
3 years ago
How many times can 27 go into 224
otez555 [7]

Answer:

27 can go into 224 8 times by dividing 224 by 27 .

7 0
3 years ago
Read 2 more answers
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