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Svetradugi [14.3K]
1 year ago
15

Which shows the factored form x2-12x-45

Mathematics
2 answers:
posledela1 year ago
6 0
45=5*9, 5-9=-4=/=-12
45=15*3, 3-15=-12
(x+3)(x-15)=x^2-12x-45
kondaur [170]1 year ago
4 0
X^2-12x-45

x^2+3x-15x-45

x(x+3)-15(x+3)

(x-15)(x+3)
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Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba
hram777 [196]

Answer:0.5714\frac{1}{15}

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George.  For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = 0.5(0.5) = 0.25

Thus Prob for Bill winning

= 0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

Sum = \frac{a}{1-r} =\frac{0.5}{1-0.125} =0.5714

4 0
1 year ago
2.14x - 42.9 for x = 22.4 ?<br> A. -18.36<br> B. 5.026<br> C. 47.939<br> D. 90.839
Fynjy0 [20]

Answer:

Step-by-step explanation:

Your answer would be B., because you would multiply

2.14 x  22.4   =

47.939  

then you will subtract that by 42.9

47.939 - 42.9 =  

5.026

7 0
2 years ago
Drag each expression to show whether it is equivalent to 6(4x−1), 24x+6, or (4⋅6x)+(4⋅2) somebody please help me i need to get t
faltersainse [42]

Answer:

6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)

24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)

(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)

Step-by-step explanation:

An equivalent expression is an expression which either simplified or factored is equal to it.

6(4x-1) is equivalent to 24x-6 and (2*12x)-(2*3)

24x+6 is equivalent to 6(4x+1) and (6*4x)+(6*1)

(4*6x)+(4*2) is equivalent to 24x+8 and 4(6x+2)

5 0
2 years ago
A local shop prints photos. The function f(x) = −x2 + 20x − 75 models the profit from one customer, where x is the number of pho
AnnZ [28]

Answer:

x = 5, x = 15; The zeros represent the number of photos printed to produce a maximum profit.

Step-by-step explanation:

F(x) = −x²+ 20x − 75

Let's f(x)= 0

0= -x²+20x-75

0= x²-20x+75

0=x²-5x-15x+75

0= x(x-5)-15(x-5)

0= (x-5)(x-15)

The zeros are

X= 5 or x = 15

And the xeros represent a number of photos printed to produce maximum profit

7 0
2 years ago
Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?​
Mashutka [201]

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three 4\frac{1}{2} oz cans and five 8\frac{1}{4} oz cans.

To find : How many ounces of tomatoes does Mark need?​

Solution :

Mark has three 4\frac{1}{2} oz cans.

i.e. 3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}

Mark has five 8\frac{1}{4} oz cans.

i.e. 5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}

Total ounces of tomatoes does Mark need is

T=\frac{27}{2}+\frac{165}{4}

T=\frac{54+165}{4}

T=\frac{219}{4}

T=54.75

Therefore, 54.74 ounces of tomatoes mark need.

7 0
1 year ago
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