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Paraphin [41]
3 years ago
9

A quadratic equation ax^2+bx+c=0 has -11 and 4 as solutions. Find the values of b and c if the value of a is 1 (hint, use zero f

actor property in reverse)
The quadratic equation has a=1, b= ____, and c = ____
Mathematics
1 answer:
Alina [70]3 years ago
3 0

Answer:

b = 7, c = -44

Step-by-step explanation:

If the quadratic equation has the solutions -11 and 4, the two factors are:

(x+11)(x-4)=0

Since when we use the zero factor property we get

x+11=0 ⇒ x= -11

x-4=0 ⇒  x=4

Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.

Now we develop the multiplications between parenthesis:

(x+11)(x-4)=0\\x^2-4x+11x-44=0\\x^2+7x-44=0

So b is the number that accompanies the x: b = 7

and c is the independent number: c = -44

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What is the distance between 15/16 and 3 1/16?
VashaNatasha [74]

Answer:

18 is the deistance

Step-by-step explanation:

The answer is 18 because 3 times 16 is 33 and 33 minus 15 gives you the correct answer got of 18.

8 0
3 years ago
Solve this quadratic inequalitie with detailed full explanation
ANTONII [103]

x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle

different approach:

x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0

see attachment

x\in\langle-4,4\rangle

7 0
2 years ago
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An ice cream truck driver determined he had made $39.92 after selling 8 ice cream bars (using the equation y=kx). How much would
zmey [24]

Answer:

Step-by-step explanation:

He will earn 368 if he sold 6 bars

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3 years ago
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During a game, a basketball team scored 38 points worth of two-pointers, 33
Snezhnost [94]

Answer:

185 Points

Step-by-step explanation:

38 x 2 = 76

33 x 3 = 99

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8 0
3 years ago
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Please help!
riadik2000 [5.3K]

Answers:

Domain is  0 \le d \le 100

Range is  0 \le F(d) \le 150

==============================================

Explanation:

The most money made from selling drinks is $150. Divide this over the cost per drink to get 150/(1.50) = 100; indicating that at most 100 drinks are sold per day. This is the largest that d can get because d represents the number of drinks sold.

The smallest d can get is d = 0 to mean that no drinks are sold.

In short: d is between 0 and 100, including both endpoints. We write 0 \le d \le 100 to indicate this. This is the domain because the domain represents all the possible inputs allowed.

---------------------------------------------------

The range is the set of allowed outputs.

If we plugged in d = 0, then you would find F(d) = 0 as well. If you don't sell any drinks, then you earn $0. This is the smallest item in the range.

On the other side of things, the largest item in the range is 150 because this value was given to us. It's the upper limit or ceiling value of how much money is made from drinks. You can also find this by plugging d = 100, the largest domain value, into the function to get F(d) = 150.

Therefore the range is 0 \le F(d) \le 150 to indicate that F(d) is between 0 and 150 inclusive of both endpoints.

8 0
3 years ago
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