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german
3 years ago
5

Adding and subtracting polynomials(6x² - 3x - 1) - (x + 8)​

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

Answer:

Simplify equation :  

6x^2 - 4x - 9

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Write a quadratic function in vertex form whose graph has the vertex
ELEN [110]

Answer:

y = \frac{1}{2}(x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (5, - 2), thus

y = a(x - 5)² - 2

To find a substitute (7, 0) into the equation

0 = a(7 - 5)² - 2

0 = 4a - 2 ( add 2 to both sides )

2 = 4a ( divide both sides by 4 )

a = \frac{2}{4} = \frac{1}{2}

y = \frac{1}{2} (x - 5)² - 2 ← in vertex form

4 0
3 years ago
What is the volume of a rectangular prism with length 12 in., height 16 in., and width 13 in.? V+lwh. _______in3
Verizon [17]
Hello!

To find the Volume, you'll need to multiply all of the measurements together. So you'll need to multiply 12, 16, and 13 together to get the Volume. First, let's multiply 12 and 16 together to get 192

192*13

Now you're left with 192*13. After you've multiplied them together you should get 2496

You should now have a Volume of 2496in³

I hope this helps!
3 0
3 years ago
A car dealership has 24ft of dividers with which to enclose a rectangular play sace
alina1380 [7]

Answer:

A)  Area = A(x) = 24x - x^2

B)  Domain = {x < 24}

Step-by-step explanation:

<u>Complete Question:</u>

A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.  

A) express the area of the play space as a function of x

B) find the domain of the function

Solution:

A)

The rectangle has area of length * width

length is x

so width will be 24 - x

Hence, the area will be:

Area = x(24 - x)

Area = A(x) = 24x - x^2

B)

Domain is the set of x values that make the function defined.

The domain will be all values less than 24.

Because if you take 24, the area would be 0 [doesn't make sense]

if you take anything over 24, the area would be negative [not possible]

Hence, the domain is:

Domain = {x < 24}

6 0
3 years ago
What is the volume of a rectangular prism with length 12 ft, height 14 ft, and width 17 ft? V=lwh
Slav-nsk [51]

Answer:  the volume of a rectangular prisim with lenths (12ft , height 14 ft , and width 17 ft ) is  

V=2856ft³

4 0
3 years ago
Select the correct answer. The owner of a sporting goods store gathered data about the numbers of men’s, women’s and children’s
mamaluj [8]

I don't know if this is right, but I'm pretty sure it's B.

7 0
3 years ago
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