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Vikentia [17]
3 years ago
9

find the sum and product of the zeros of the quadratic polynomial are -1/2 and -3.what is the quadratic equation​

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

Step-by-step explanation:

let sum of zeros=s

and product of zeros=p

then quadratic equation is x²-sx+p=0

x²-(-1/2)x+(-3)=0

x²+1/2 x-3=0

2x²+x-6=0

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A woman 5 ft tall walks at the rate of 7.5 ft/sec away from a streetlight that is 10 ft above the ground. At what rate is the ti
lesya [120]
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
        = (5/2)
        = 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec. 
8 0
3 years ago
Let p represent any number in the interval (- 18,22). Rewrite the possible values for p in inequality notation.
Nataliya [291]

Answer:

-18 < p < 22

Step-by-step explanation:

We are given the following information in the question.

The open interval: (- 18,22).

Let p belong to the given interval then p represents all the values belonging to the given interval.

Open Interval: An open interval is a interval that does not include the end points.

Thus, we can write:

-18 < p < 22

is the required inequality form required.

That is p can take values greater than -18 and smaller than 22.

6 0
3 years ago
The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second numbe
ki77a [65]
Don’t know if there’s much of an equation for it, but I guess the best way to write it out is 10 + x = -18. Then, you would subtract the 10 from both sides in order to isolate the x. So then you’re left with x = -28. So -28 is your answer.
8 0
3 years ago
Jason is 4.52 feet tall his sister is 0.75 times his hight how tall is his sister
STatiana [176]
His sister is 7.895 feet tall.
3 0
3 years ago
a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion?
cricket20 [7]

Answer:

1/12 lb

Step-by-step explanation:

2/3 x 1/8 = 2/24 = 1/12

7 0
3 years ago
Read 2 more answers
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