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vova2212 [387]
3 years ago
6

A multiple choice test has 9 questions each of which has 5 possible answers

Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0
The total number of possible answer will be 9×5= 45 if that was the question.
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Which factorization is incorrect? 1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)2 2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)2 3) 2
Andru [333]

Answer:

The second option is the incorrect:

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

Step-by-step explanation:

Let's check each one of the factorizations:

1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)^2

(x + 4)(x + 1)^2 = (x + 4)(x2 + 2x + 1) = x3 + 6x2 + 9x + 4

x3 + 5x2 + 4x + x2 + 5x + 4 = x3 + 6x2 + 9x + 4

This one is correct.

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

(d – 1)(2d – 3)^2 = (d - 1)(4d2 - 12d + 9) = 4d3 - 16d2 + 21d - 9

4d3 – 4d2 – 9d + 9 = 4d3 - 16d2 + 21d - 9

This one is incorrect.

3) 27h3 – 8k3 = (3h – 2k)(9h2 + 6hk + 4k2 )

(3h – 2k)(9h2 + 6hk + 4k2 ) = 27h3 - 8k3

This one is correct.

4) 64 – 9t2 = (8 + 3t)(8 – 3t)

(8 + 3t)(8 – 3t) = 64 - 9t2

This one is correct.

So the incorrect option is the second one.

4 0
3 years ago
Use substitution to solve the following system of equations. Show all of your work. Write the solution as an ordered pair.
trapecia [35]

Answer:

\left \{ {{x=2} \atop {y=2}} \right.

Step-by-step explanation:

Substitute the second equation into the first one:

4x+(2x-2)=10\\6x-2=10\\6x=12\\x=2

Substitute x=2 into the second equation:

y=2\times 2-2\\y=4-2\\y=2

\therefore \left \{ {{x=2} \atop {y=2}} \right.

3 0
2 years ago
Jennifer made 5 liter of punch for her for her party her brother made another 750ml if they combine the two batches how many 180
kykrilka [37]
5 liters = 5000ml

If they combine, they would have
5000 + 750 = 5750ml

one serving = 180ml
Number of serving = 5750 ÷ 180 = 31 serving with 170ml remaining


7 0
3 years ago
Help me please i do not know the answers
konstantin123 [22]

can you make the pic little more clear if you can :)

8 0
3 years ago
What is 9x-7y=-7 in slope intercept form?
Novay_Z [31]
Slope intercept form is y = mx + b

So if you start with 9x - 7y = -7, the first thing you need to do is move the 9x to the other side of the equation by subtracting it from both sides.
       9x - 7y =      -7
       -9x          -9x

Now you have -7y = -9x -7

For the equation to be in slope intercept form now you should divide every term by the number in front of your y.  In this case divide every term by -7
    -<u>7y</u> =  <u>-9x</u>  <u>-7</u>
      -7      -7   -7

That leaves you with: y = 9x/7 + 1


4 0
3 years ago
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