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Black_prince [1.1K]
3 years ago
7

Write a quadratic equation whose roots are -4 and one and who's leading coefficient is five

Mathematics
1 answer:
Alex3 years ago
7 0

Step-by-step explanation:

- 4 and 1 are roots.

Therefore, (x + 4) & (x - 1) are factors and 5 is leading coefficient.

Therefore, required quadratic equation is:

5 (x + 4) (x - 1)  \\  = 5( {x}^{2}  - x + 4x - 4) \\  = 5( {x}^{2}  + 3x - 4) \\  = 5 {x}^{2}  + 15x - 20

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ASAP!! Three consecutive numbers have a sum of 156. What are the 3 numbers?
ryzh [129]

For this problem, all you need to do is find the three #'s that add up to 156.

So, lets look at the answers and add them up.

A. 50, 52, 54

50 + 52 + 54 = 156

B. 51,52,53

51 + 52 + 53 = 156

C. 49,50,51

49 + 50 + 51 = 150

D. 49,51,53

49 + 51 + 53 = 153

We get the answers (50,52,54) and (51,52,53)

Now, consecutive numbers are numbers that in order, like 1,2,3.

Therefore, the answer is (51,52,53)

3 0
3 years ago
Help me plz with this giving brainless to the right answer
Soloha48 [4]

Answer:whats the question

Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)

4 0
3 years ago
Sue had 5 identical bags of candy to share with the crew. Twenty-five pieces of candy disappeared. Ted had 4 bags with the same
inna [77]

Answer:

Each bag originally had 35 pieces of candy

Step-by-step explanation:

Since the bags are identical, Let them Number of candies in each bag sue had be x. Thus, she had 5x candies. Since she lost 25 pieces, then she now has;

5x - 25 candies left.

We are told that Ted had 4 bags with the same number of candies like Sue had. Thus, he has 4x candies.

He mysteriously found 10 additional pieces. Total Ted now has is;. 4x + 10

Finally, we are told that Sue and Ted now have an equal number of candies.

Thus;

5x - 25 = 4x + 10

Rearranging, we have;

5x - 4x = 25 + 10

x = 35

Thus, each bag originally had 35 pieces of candy

3 0
3 years ago
Could someone check my answer please
Butoxors [25]
Hello there! The axis of symmetry is the vertical line where the parabola can be divided and there are two equal halves. The vertex is on that line. The point where this occurs is all in the positive range, so that eliminates B, C, and D. (0.5, 4.25) is the vertex and 0.5 is the axis of symmetry. The answer is A. Your answer is correct.
3 0
3 years ago
Read 2 more answers
Which equation represents the circle described?
bazaltina [42]

We have the equation:

x^2+y^2-8x-6y+24=0


By arranging this equation in terms of x and y, we have:


x^2-8x+y^2-6y=-24 \\ \\


By using the method of completing the square, we have:

x^2-8x+\mathbf{\left(\frac{8}{2}\right)^2}+y^2-6y+\mathbf{\left(\frac{6}{2}\right)^2}=-24+\mathbf{\left(\frac{8}{2}\right)^2}+\mathbf{\left(\frac{6}{2}\right)^2} \\ \\ x^2-8x+\mathbf{16}+y^2-6y+\mathbf{9}=-24+\mathbf{16}+\mathbf{9} \\ \\ \boxed{(x-4)^2+(x-3)^2=1}


The center of this circle is:

(h,k)=(4,3)


So the equation that fulfills the statement is:

(x-4)^2+(y-3)^2=2^2


Finally, the right answer is c)

6 0
3 years ago
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