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melisa1 [442]
3 years ago
9

9. Consider the function f(x) = x² + 3x – 4.

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

  c.  f(x) = (x + 4)(x - 1)

Step-by-step explanation:

Since you're familiar with the product of two binomials:

  (x +a)(x +b) = x² + (a+b)x + ab

you know that the constants in the binomial factors must ...

  • have a product of -4
  • have a sum of +3

__

All of the choices except B have binomial constants that have a product of -4.

In order, the sums of the remaining choices are ...

  A: 1-4 = -3

  C: 4-1 = 3 . . . . this is the correct choice

  D: -2+2 = 0

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k0ka [10]
34,235345 = thirty four million two hundred thirty
five thousand three hundred forty five
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What is the cube of the quotient 24 and 6
Naily [24]
Quotient of 24 and 6 is : \frac { 24 }{ 6 } =4

and 4's cube is : { 4 }^{ 3 }\quad =\quad 4\cdot 4\cdot 4=64
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A rocket moves through outer space at 10,500 m/s. At this rate how much time would be required to travel the distance from Earth
Orlov [11]

Answer:

The answer is around 27.63 seconds.

Step-by-step explanation:

1 km equals 1000 meters so we have to multiply 10,500 and 1,000 which would equal 10,500,000 km. 10,500,000 divided by 380,000 which is around 27.63 seconds.

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I need help on these question ASAP!!!! This is Urgent
GarryVolchara [31]

Part 1: The equation of the line is y=2x+1

Part 2: The equation of the line in slope intercept form is y=-3x-1

Explanation:

Part 1: It is given that the point A is (1,3) and the line B is y=2 x-2

To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.

From the equation of line B, the slope is m=2

Substituting the point (1,3) and m=2 in slope intercept form y=mx+b, we have,

3=2(1)+b

3=2+b

1=b

Thus, the y-intercept is b=1

Let us substitute the values m=2 and b=1 in the slope intercept form y=mx+b, we get,

y=2x+1

Thus, the equation of the line passing though point A and parallel to line B is y=2x+1

Part 2: The given two coordinates are (-1,2) and (1,-4)

To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.

From the graph, we can see that the line touches the y-axis at -1.

Hence, the y-intercept is b=-1

The formula for slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting the coordinates (-1,2) and (1,-4), we have,

m=\frac{-4-2}{1+1} =\frac{-6}{2} =-3

Thus, the slope is m=-3

Substituting the values b=-1 and m=-3 in the slope intercept formula y=mx+b, we get,

y=-3x-1

Thus, the equation of the line in slope intercept form is y=-3x-1

4 0
3 years ago
Mr. Inahurry sold his house for $27,000, which is a 10% loss over what he originally paid for it. What did he pay for the house
Ainat [17]

Answer: $30,000

Step-by-step explanation:

If Mr. Inahurry had a 10% loss, it means that he paid X for the house and only got back 90% (100% - 10%) of what he paid.

This way X . 90% = 27,000

               X . 0.90 = 27,000

               X = 27,000/0.9

               X = 30,000

Counter-proof: 30,000 . 10% = 30,000 . 0.10 = 3,000

                          30,000 - 3,000 = 27,000

4 0
3 years ago
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