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patriot [66]
3 years ago
12

I think its C, not sure

Mathematics
1 answer:
Alona [7]3 years ago
7 0
Yes; you are correct.
___________________________________________________
The correct answer is:
___________________________________________________
Answer choice:  [C]:  " x³ − 9x² + 23x <span>− 12 " .
___________________________________________________
Note: (a </span>− b) (c − d + e) = ac − ad + ae − bc + bd − be ;
___________________________________________________
          (x − 4) (x² <span>− 5x + 3) = 

   x * x</span>² = x³ <span>− 

   x * 5x = 5x</span>² + 

   x * 3   = 3x <span>−

   4 * x</span>²  = 4x² <span>−

   -4 * 5x =  -20x +

   -4 * 3 =  -12; 
________________________________________
</span>          (x − 4) (x² − 5x + 3) = 

x³ − 5x² + 3x −4x² − (-20x) + (-12) ;

=  x³ − 5x² + 3x −4x² + 20x − 12 ;

= x³ − 5x² − 4x² + 3x + 20x − 12 ;

= x³ − 9x²  + 23x − 12 ;  which is:
__________________________________________________
Answer choice:  [C]:  " x³ − 9x²  + 23x − 12 " .
__________________________________________________
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.........................
alekssr [168]

Answer:

B

Step-by-step explanation:

Y=7-3x

Y=10 if x=-1

1-*7-3

=10

7 0
3 years ago
Please help! A-level maths.
astra-53 [7]

x+y=k\implies y=k-x

Substitute this into the parabolic equation,

k-x=6-(x-3)^2\implies x^2-7x+(k+3)=0

We're told the line x+y=k intersects C twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

(-7)^2-4(k+3)=49-4(k+3)>0\implies k

We can tell from the quadratic equation that C has its vertex at the point (3, 6). Also, note that

-1\le\sin t\le1\implies3\le3+2\sin t\le5\implies3\le x\le5

and

-1\le\cos2t\le1\implies2\le4+2\cos2t\le6\implies2\le y\le6

so the furthest to the right that C extends is the point (5, 2). The line x+y=k passes through this point for 2+5=k\implies k=7. For any value of k, the line x+y=k passes through C either only once, or not at all.

So 7\le k; in set notation,

\{k\mid 7\le k

4 0
3 years ago
Eight less than a number doubled is twenty more than the number. What is the number?
m_a_m_a [10]
Let the number be a .... =>Number doubled : 2a .. =>Eight less than the no. Doubled : 2a - 8 =>Eight less than the no. doubled is 20 more than the no. : 2a - 8 = 20 + a =>2a - 8 - 20 - a = 0 =>2a -a - 20 -8 = 0 =>a -28 = 0 =>a = 28 =>so the number is 28... Hope it helps!!!
7 0
3 years ago
You want to put a 4 inch thick layer of topsoil for a new 28 ft by 14 ft garden. The dirt store sells by the cubic yards. How ma
Digiron [165]

Answer:

Step-by-step explanation:

1 yard = 3 feet = 36 in

so 1 in = 1/36 yard,  1 ft = 1/3 yard.

The volume of the layer of the topsoil, is:

4 in * 28 ft * 14 ft = 4 *(1/36)*23*(1/3)*17*(1/3)  yard cubed =

(4*28*14)/(36*3*3)= 1955/324=

The store only sells increments of 1/4 = 0.25 cubic yards.

we need 6.034/0.25=

So we need to buy 25 (24 will not be enough) increments of 1/4 cubic yards.

5 0
3 years ago
Read 2 more answers
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brilliants [131]

Answer:

2. 283

3. 50

4. 23

5. 221

7. -152

6 0
3 years ago
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