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Inga [223]
3 years ago
14

Simplify the polynomial expressions by combining like terms, and then multiply the resulting

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

The simplified expression is

20x^2 - 33x - 27

Step-by-step explanation:

(6x - 9 - 2x)(8 + 5x - 5)​

We must first rewrite the expression as a product of two binomials.

This can be done by adding like terms

(6x - 9 - 2x)(8 + 5x - 5)​

We have,

(4x-9)(5x+3)

Multiplying the resulting binomial expression

(4x-9)(5x+3)

(20x^2+12x-45x-27)

Add the like terms

20x^2-33x-27

The simplified expression is

20x^2 - 33x - 27

Twenty x squared minus thirty-three x minus twenty-seven

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Toby bought 8 hotdogs and 5 fries. It cost $34.00
ruslelena [56]

Answer:

Each hot dog = $3

Each french fry = $2

Step-by-step explanation:

First, lets define our variables:

x = Hotdog

y = fries

Next, you need to set up a cost equation for both Toby and Bernie:

8x + 5y = 34

2x + 6y = 18

Now, we need to isolate one of the variable:

2x + 6y = 18

2x = 18 - 6y

x = 9 - 3y

Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):

8x +5y = 34

8 (9-3y) + 5y = 34

72 - 24y + 5y = 34

72 - 19y = 34

19y = 38

y or fries = $2

Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:

2x + 6y = 18

2x + 6(2) = 18

2x + 12 = 18

2x = 6

x or hotdog = $3

I hope this helps!

-TheBusinessMan

6 0
3 years ago
Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation.
Veronika [31]
Equation :
[x(x+4)]/2=6                (as (b*h)/2=A)
x*x + 4*x -12 = 0

x = -b+- \sqrt{ b^{2}-4ac }/2a         

so, x = 2 units(as -6 is negative)

3 0
3 years ago
Use Euler’s Formula to find the missing number.<br><br> Faces: _____<br> Edges: 15<br> Vertices: 9
Alla [95]

Answer:

18

Step-by-step explanation:

thanks and follow mark as brainlist

7 0
3 years ago
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A certain brand of golf balls comes in packs of 24. Each pack has three yellow golf balls in it. Willam orders 360 golf balls on
iogann1982 [59]

Start by taking the total number of golf balls, 360, and dividing it by how many golf balls come in each pack, to find the number of packs.


360 ÷ 24 = 15


So there are 15 packs, each with 3 yellow golf balls.


15 · 3 = 45


Meaning 45 of the golf balls would be yellow



3 0
3 years ago
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An Athlete wants to increase muscle mass through weight training. The athlete has P pounds of muscle before weight training and
Vladimir [108]

Answer:

B. 0.88p

Step-by-step explanation:

3 0
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