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il63 [147K]
3 years ago
13

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
6 0

Answer:

Step-by-step explanation:

r-ruslan [8.4K]3 years ago
5 0

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

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One gallon is 3.8 litres. How many litres will you need for 675 square ft? Show your work!
vazorg [7]

Answer:

2565 square ft

Step-by-step explanation:

675 x 3.8 = 2565 square feet

6 0
3 years ago
What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?
tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

y=x^{2}-8x+15

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

x^{2}-8x+15=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-8x+15=0  

so

a=1\\b=-8\\c=15

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}

x=\frac{8\pm\sqrt{4}} {2}

x=\frac{8\pm2} {2}

x=\frac{8+2} {2}=5

x=\frac{8-2} {2}=3

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0
3 years ago
Which statement justifies that 3x² − 2x − 4 multiplied by 2x² + x − 3 obeys the closure property of multiplication?
Anna007 [38]

Step-by-step explanation:

(3x2 - 2x - 4) (2x2 + x - 3)

6x4 + 3x3 - 9x2 - 4x3 - 2x2 + 6x - 8x2 - 4x + 12

Solving like terms

6x4 - x3 - 19x2 + 2x + 12

8 0
3 years ago
Read 2 more answers
Miah has a fish tank were she keeps her fish! Find the volume of the fish tank
Luden [163]
To do this, you’ll have to utilize the formula for volume.

Volume = length•width•height
V = 12•6•4
V = 12•24
V = 288 cm^3

** Remember that volume is always cubed.
8 0
3 years ago
Theo and Kade worked on a school project together. Theo worked on the project 3 fewer hours than Kade did. Altogether, they work
babunello [35]

Let the hours Kade worked = X

Theo would be X - 3 ( 3 less than Kade).

Now you have:

X  + X -3 = 27

Combine like terms:

2x - 3 = 27

Add 3 to each side:

2x = 30

Divide both sides by 2:

x = 15

Kade worked 15 hours.

Theo worked 12 hours.

6 0
3 years ago
Read 2 more answers
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