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Scorpion4ik [409]
3 years ago
14

Help!!! please! im on my last try!

Mathematics
2 answers:
ozzi3 years ago
7 0

Answer:

1) Option 2 - x=-3 or x=5

2) option 4 - x=4 or x=7

3) Option 3 - x=-4 or x=9

4) Option 1 - x=4 or x=-6

5) Option 1 - x^2+3x-28=0

Step-by-step explanation:

1) Solve using the zero product property  (x + 3)(x - 5) = 0

Solution :

Zero product property states that if ab=0 then a=0 or b=0.

Applying,  (x + 3)(x - 5) = 0

Either x+3=0 or x-5=0

Either x=-3 or x=5

So, Option 2 is correct.

2) Solve by factoring and applying the zero product property x^2-11x+28=0

Solution :

x^2-11x+28=0

Applying middle term split,

x^2-4x-7x+28=0

x(x-4)-7(x-4)=0

(x-4)(x-7)=0

Applying zero product property,

Either x-4=0 or x-7=0

Either x=4 or x=7

So, Option 4 is correct.

3) Solve by factoring and applying the zero product property x^2-5x=36

Solution :

x^2-5x-36=0

Applying middle term split,

x^2-9x+4x-36=0

x(x-9)+4(x-9)=0

(x-9)(x+4)=0

Applying zero product property,

Either x-9=0 or x+4=0

Either x=9 or x=-4

So, Option 3 is correct.

4) For what values is the following true? x^2+2x-4=20

Solution : To get the result we factor the equation,

x^2+2x-24=0

Applying middle term split,

x^2+6x-4x-24=0

x(x+6)-4(x+6)=0

(x+6)(x-4)=0

Applying zero product property,

Either x+6=0 or x-4=0

Either x=-6 or x=4

So, Option 1 is correct.

5) To find the solution to the equation using factoring, we need to first write it in standard form. Which of the following choices is equivalent to the equation : (x-2)(x + 5) = 18

Solution :

To write in standard form we just multiply the terms,

(x-2)(x + 5)=18

x^2+5x-2x-10=18

x^2+3x-10=18

x^2+3x-10-18=0

x^2+3x-28=0

So, Option 1 is correct.

lilavasa [31]3 years ago
6 0

Answer:

1. x = -3 or x = 5

2. x = 4 or x = 7

3. - 4 and 9

4. x = 4 or x = - 6

5. Unfortunately I got this one wrong, but put the answers above and you'll get an 80%

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4) If a = 28 and b = 4, then a/b = ______
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Answer:

7

Step-by-step explanation:

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Algebra 1 : ordered pairs kinda dont get it
lesantik [10]

Answer:

<em>Option C; 3x - y = -27 and x + 2y = 16</em>

Step-by-step explanation:

1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.

2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.

3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ <em>Answer: Option C</em>

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6 0
3 years ago
Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets for a flight that holds only
bekas [8.4K]

Answer: a) 0.9961, b) 0.9886

Step-by-step explanation:

Since we have given that

Probability that does not show up = 0.10

Probability that show up = 0.90

Here, we use "Binomial distribution":

n = 125 and p = 0.90

Number of passengers that hold in a flight = 120

a) What is the probability that every passenger who shows up can take the flight?

P(X\leq 120)=\sum_{x=0}^{120}^{125}C_x(0.90)^x(0.10)^{125-x}=0.9961

(b) What is the probability that the flight departs with empty seats?

P(X\leq 119)=\sum _{x=0}^{119}^{125}C_x(0.90)^x)(0.10)^{125-x}=0.9886

Hence, a) 0.9961, b) 0.9886

3 0
3 years ago
A clothing company has 4 different kinds of sweatshirts. Each year, the company makes 60,000 of each kind of sweatshirt. How man
Anna007 [38]

Answer:

Step-by-step explanation:

Given that,

The company makes 4 different sweat shirts

Each year they make 60,000 of each kind.

So, if they will make 60,000 sweat shirt for each brand and the company design 4 different brand.

So, number of brand is 4

n = 4.

Then,

1 brand = 60,000

Therefore, 4 brand = 60,000 × 4

4brand = 240,000 sweat shirts.

So, in a year the company will make 240,000 sweat shirts.

4 0
3 years ago
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