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3 years ago

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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What is the cube of the quotient 24 and 6

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3 years ago

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:

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Step-by-step explanation:

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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 $b=-1$

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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 $y=-3x-1$

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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

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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

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3 years ago