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Musya8 [376]
3 years ago
13

Need help with these questions. show work to plzzzz

Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0

2.\\k(x)=2x^2-3\sqrt{x}\\\\k(9)\to\text{put the value of x = 9 to the equation of the function:}\\\\k(9)=2(9)^2-3\sqrt9=2(81)-3(3)=162-9=153\to\boxed{(4)}\\\\3.\\3(x^2+2x-3)-4(4x^2-7x+5)\qquad\text{use distributive property}\\\\=(3)(x^2)+(3)(2x)+(3)(-3)+(-4)(4x^2)+(-4)(-7x)+(-4)(5)\\\\=3x^2+6x-9-16x^2+28x-20\qquad\text{combine like terms}\\\\=(3x^2-16x^2)+(6x+28x)+(-9-20)\\\\=-13x^2+34x-29\to\boxed{(2)}

4.\\p(x)=x^2-2x-24\\\\x^2-2x-24=0\\\\x^2+4x-6x-24=0\\\\x(x+4)-6(x+4)=0\\\\(x+4)(x-6)=0\iff x+4=0\ \vee\ x-6=0\\\\x=-4\ \vee\ x=6\to\boxed{(3)}

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Plz help me with this question
Paul [167]

Answer:

According to the graph, the answer would be the 5th month leading with 18 keychains but since I don't see that as an answer choice in the picture you provided, the answer would be the 4th month trailing close behind with a total of 16 keychains.

8 0
4 years ago
Please Help me!!!!!!!
Dafna11 [192]

Answer:

The equation of the boundary of the region is (x+2)² + (y-1)² = 25

Step-by-step explanation:

The satellite is positioned at (-2,1) and can sense the presence within 5 miles of its position.

The boundary of the region is a circle with center (-2,1) and radius 5.

The equation of the circle with center (h,k) and radius r is given by

(x-h)²+(y-k)²=r²

The equation of the circle with center (-2,1) and radius 5 is given by

(x+2)²+(y-1)²=5²=25

(x+2)² + (y-1)² = 25 is the required equation of the boundary of the region.

5 0
4 years ago
The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
8 0
3 years ago
Can somebody simply explain a unlinear functions???​
sertanlavr [38]

Answer Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Nonlinear functions are all other functions. An example of a nonlinear function is y = x^2. This is nonlinear because, although it is a polynomial, its highest exponent is 2, not 1.

3 0
3 years ago
Read 2 more answers
If a sprinkler waters 1/15 of a lawn in 1/3 hour, how much time will it take to water the entire lawn?
sammy [17]

Answer:

ok so first we know that 1/3 of a hour is 20 minutes since

60*1/3=20

so every 20 minutes 1/15 of the lawn is mowed then we need to just multiply 20 by 15

20*15=300

300 minutes or 5 hours

Hope This Helps!!!

7 0
2 years ago
Read 2 more answers
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