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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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A park has a length to width ratio of 7:4 and the perimeter of the park is 880 meters. What are the length and width of the park
Schach [20]

Step-by-step explanation:

Ratio of length to width = 7 : 4

length = 7x

width = 4x

7x + 4x = 11x

length = 880

880 + 4x = 11x

880 = 11x - 4x

880 = 7x

\frac{880}{7}  = x

125.71 = x

width = 4x

= 4(125.71)

= 502.85

3 0
2 years ago
Which represents the solution of the graphed system of equations, y=x^2-2x and y=-2x-1
elena55 [62]

Answer:

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

Step-by-step explanation:

The solution to the system of equations is at the point where they intercept each other.

y1 = y2

For the given equation;

y=x^2-2x and y=-2x-1

To get the where they intercept, we will equal both equations;

y=x^2-2x = -2x-1

x^2 - 2x = -2x - 1

x^2 - 2x + 2x + 1 =0

x^2 +1 = 0

x^2 = -1

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

6 0
3 years ago
One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is580 ​,
jenyasd209 [6]

Answer:

x = 60

1) 60

2) 360

3) 160

60 + 360 + 160 = 580

Step-by-step explanation:

1) x

2) 6x

3) x + 100

x + 6x + x + 100 = 580

8x = 580 - 100

x = 480/8

x = 60

7 0
3 years ago
What is the domain of the function y=√4x+8<br> Can you show your work too, please? (:
kirill115 [55]
y=  \sqrt{4(x+2)}
y = 2 \sqrt{x+2}

The domain would be -2, the x-intercept. 
6 0
3 years ago
The shaded octagon is transformed to the unshaded octagon in the coordinate plane below.
Sergio039 [100]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
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