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GalinKa [24]
3 years ago
5

Can any kind soul help me please​

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0

Answer:

p-q= -4

p=q-4

x^2 + px + q=0

=> x^2 + (q-4)x + q = 0

d= b^2-4ac

=(q-4)^2 - 4(1)(q)

= q^2 + 16 -8q - 4q

=q^2 -12q+16

given that D=16

q^2 -12q+16 = 16

=> q^2 -12q = 0

=> q^2 = 12q

=> q = 12q/q

=> q= 12

Therefore the value of q is 12 and the value of p is q-4 = 12-4= 8

Hope you understood............

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Hey if you're willing to help me with this, it will be very much appreciated, thanks maties and mates.
Nastasia [14]

Answer:

Width=37in

Length=55in

Step-by-step explanation:

Let x in be the width dimension, the length dimension will be x+18 in. Area of a rectangle is calculated as A=lw. Given  the area as2143 sq in, x can be calculated as:

Area= x(18+x)\\\\=18x+x^2\\\\

#Substitute for every x in our function to find the true value of x:

x=37\\\\A=x^2+18x\\\\=37^2+18\times37\\\\=2035 \ in^2#l=37+18=55in

for x=38:

x=38\\\\A=x^2+18x\\\\=38^2+18\times38\\\\=2128 \ in^2#l=38+18=56in

For x=39:

x=39\\\\A=x^2+18x\\\\=39^2+18\times39\\\\=2223 \ in^2#l=39+1854in

From the calculations above, A television with a width of 37 in and length 55in has its area closest to 2143 sq in.

4 0
3 years ago
Answer 1-6 (about square root)
Taya2010 [7]

Answer:

1. For a cube, volume = edge^{3}

2. \sqrt[3]{volume} = edge

3. Volume of the cube = 216 so, the edge = \sqrt[3]{216} = 6

4. 1st blank = 6

   2nd blank = 6

   3rd blank = 216

   4th blank = 216

5. 6 is the edge

6. As the room is a square and we have to find the side

Area = 121

Edge = \sqrt[2]{121} = 11

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3 years ago
What measurement is the quantity of mass per unit volume?
skelet666 [1.2K]
Density is the correct answer.
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2 years ago
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please help me, im stuck and i do not understand what i need to do, answer the question in the picture please
tino4ka555 [31]

Answer:

x = - \frac{1}{4}

Step-by-step explanation:

To find f(g(x)) substitute x = g(x) into f(x), that is

f(g(x))

= f(x + 1)

= 2(x + 1)² ← expand using FOIL

= 2(x² + 2x + 1) ← distribute

= 2x² + 4x + 2

To find g(f(x)) substitute x = f(x) into g(x), that is

g(f(x))

= g(2x²)

= 2x² + 1

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

Equating  gives

2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )

4x + 1 = 0 ( subtract 1 from both sides )

4x = - 1 ( divide both sides by 4 )

x = - \frac{1}{4}

4 0
3 years ago
-7 2/3+(-5 1/2) +8 3/4=
vodka [1.7K]
Exact Form : -53/12
Decimal Form : -4.416
Mixed numbers : -4 5/12
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