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kykrilka [37]
2 years ago
7

50Pts guys!!!! Please help me its easy!

Mathematics
1 answer:
mote1985 [20]2 years ago
5 0

Answer:

c. f(x)=x(x+2)(x-1)(x-4)

Step-by-step explanation:

Where it says "as x goes to negative infinity" then "y goes to infinity" (that's the part with the infinity symbols) that means the graph is going up at it's left end. This curve is a quartic (4th degree) which means its left and right ends are kind of parabola-ish, but the middle is not the neat u-ish, v-ish shape of a parabola; it's more like a wonky, noodle-ish wavy affair. Anyway, LIKE a parabola when the beginning of the equation is positive, the two ends point up. That's what's happening here and so we can eliminate b. and d. as potential answers.

Since -2, 0, 1, 4 are zeros (which are solutions...and also x-intercepts) we can find the factors of the function.

If x = -2

ADD 2 to both sides.

x + 2 = 0

This means (x+2) is a factor.

This is enough info to select answer c. but let's verify the other factors.

If x = 1

SUBTRACT 1 from both sides.

x - 1 = 0

Thus means (x - 1) is a factor.

If x = 4

SUBTRACT 4 from both sides.

x - 4 = 0

(x - 4) is a factor.

You can see c. has all these factors as well as x, because x=0 already, so x is a factor too.

I think of this as a working backwards problem, bc usually you have to factor and solve. This one, you have solutions (which are zeros and x-intercepts) and work backwards to find factors and multiply them together to find the function.

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Answer:

i(x)=12 \times (1+\frac{0.9}{12})^{12x} and growth rate factor is 0.075

Step-by-step explanation:

The function that models the population of iguanas in a reptile garden is given by i(x)=12 \times (1.9)^{x}, where x is the number of years.

Since, i(x)=12 \times (1.9)^{x}

i.e. i(x)=12 \times (1+0.9)^{x}.

Therefore, the monthly growth rate function becomes,

i.e. i(x)=12 \times (1+\frac{0.9}{12})^{x \times 12}.

i.e. i(x)=12 \times (1+\frac{0.9}{12})^{12x}.

Hence, the monthly growth rate is i.e. i(x)=12 \times (1+\frac{0.9}{12})^{12x}.

Also, the growth factor is given by \frac{0.9}{12} = 0.075.

Thus, the growth factor to nearest thousandth place is 0.075.

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3 years ago
This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in
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Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

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A = 6 * (4 ^ 2)

A = 96

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The surface area of the object formed with the cubes is 480 cm ^ 2

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Here’s 50 points, question is in the attachment below!
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Answer:

<em>Choose the first alternative</em>

\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions (N_s) and the total number of possible choices (N_t), i.e.

\displaystyle P=\frac{N_s}{N_t}

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