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jolli1 [7]
3 years ago
7

What are 2 numbers that when multiplied together you get 360 and when added together you get -96

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0
X + y = -96;
x * y = 360;

t^{2} + 96t + 720 = 0;
Δ = 96^{2} - 4 * 720 = 6336 => sqrt(Δ) = 79.6;
=> x = ( - b +  sqrt(Δ) ) / 2a => x = ( -96 + 79.6 ) / 2 ≈ - 8.2;
=> y =  ( - b -  sqrt(Δ) ) / 2a => x = ( -96 - 79.6 ) / 2 ≈ - 87.8;
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For what value(s) of k will the relation not be a function
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We are given two relations

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Relation (R)

R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

k-8.3+2.4k=-\frac{3}{4} k

3.4k-8.3=-\frac{3}{4}k

3.4k\cdot \:10-8.3\cdot \:10=-\frac{3}{4}k\cdot \:10

4k-83=-\frac{15}{2}k

34k=-\frac{15}{2}k+83

\frac{83}{2}k=83

83k=166

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(b)

S = {(2−|k+1| , 4), (−6, 7)}

We know that

any relation can not be function when their inputs are same

so, we can set both x-values equal

and then we can solve for k

2-|k+1|=-6

2-\left|k+1\right|-2=-6-2

-\left|k+1\right|=-8

\left|k+1\right|=8

Since, this is absolute function

so, we can break it into two parts

|f\left(k\right)|=a\quad \Rightarrow \:f\left(k\right)=-a\quad \mathrm{or}\quad \:f\left(k\right)=a

k+1=-8\quad \quad \mathrm{or}\quad \:\quad \:k+1=8

we get

k+1=-8\quad

k=-9

k+1=8\quad

k=7

so,

k=-9\quad \mathrm{or}\quad \:k=7...............Answer

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Step-by-step explanation:

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olga2289 [7]
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6 0
2 years ago
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kvv77 [185]
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3 years ago
If the force is 2500N and the acceleration is 500m/s/s, calculate the mass
Kamila [148]

Answer:

5kg

Step-by-step explanation:

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<u>-The</u><u>UnknownScientist</u>

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