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2 years ago

If (x + 8) is a factor of f(x), which of the following must be true?

Mathematics

2 answers:

Phoenix [80]2 years ago

7 0

Answer:

F-8)= 0 hope this helps!!!!!

Step-by-step explanation:

Sedaia [141]2 years ago

6 0

Answer:

f(-8) = 0

Step-by-step explanation:

If (x+8) is a factor of f(x), then for some expression p, we have ...

f(x) = (x+8)p

Evaluated at x=-8, this gives ...

f(-8) = (-8+8)p = 0p

f(-8) = 0 . . . . must be true

_____

Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that <em>must</em> be true is the one shown above.

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Alecsey [184]

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3 years ago

Henrietta is planting a new flower garden she must have yellow and red rose bushes let X represent the number of yellow rose bus

salantis [7]

Answer:

$x \geq 4y$

$7.50x+4.75y\leq 125$

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Step-by-step explanation:

Let

x -----> the number of yellow rose bushes

y -----> the number of red rose bushes

we know that

At least means "greater than or equal to"

$x \geq 4y$ ----> inequality A

$7.50x+4.75y\leq 125$ -----> inequality B

additionally

The number of roses cannot be a negative number

$x > 0$ ----> inequality C

$y > 0$ ----> inequality D

therefore

The restraints are

$x \geq 4y$

$7.50x+4.75y\leq 125$

$x > 0$

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5 0

3 years ago

A car travels 10km southeast and then 15 km in a direction 60 degrees north of east. What is the magnitude of the car's resultan

Maurinko [17]

Answer: 15.85km

Step-by-step explanation:

The car starts at the point (0,0)

Let's define east as the positive x-axis and north as the positive y-axis.

first, the car travels 10km southeast, so the angle is -45° from the east.

Then the new position of the car is:

(10km*cos(-45°), 10km*sin(-45°)) = (7.07km, -7.07km)

Now, from this point the car travels 15km with an angle of 60° (counting from the east)

So the new position is:

(7.07km + 15km*cos(60°), -7.07km + 15km*sin(60°)) = (14.57km , 5.91km)

The magnitude of a vector (x, y) is √(x^2 + y^2)

So the magnitude of the vector (14.57km , 5.91km) is:

√((14.57km)^2 + (5.91km)^2) = 15.85km

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3 years ago

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2 years ago

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