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3 years ago

How did we transform from f(x) =x2 to g(x) = -3x2

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

7 0

Answer:

f(x) is reflected over the x-axis and vertically scaled by a factor of 3

Step-by-step explanation:

If you compare the two functions, you see that ...

g(x) = -3f(x)

Multiplication by -1 effects a reflection over the x-axis. (All y-values are transformed to their opposite.)

Multiplication by 3 is a vertical scaling by a factor of 3.

Taken together, f(x) is reflected over the x-axis and vertically scaled by a factor of 3.

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Which two binomials in part A didn't have an equivalent factored form? What made these expressions different from the

dalvyx [7]

Answer:

The binomials 16x2 + 9 and x2 + 16 didn’t have an equivalent factored form. Both are sums of perfect squares instead of differences.

Step-by-step explanation:

Official answer

4 0

4 years ago

The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in

crimeas [40]

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling x items given by the function:

$C(x)=40x+180$

And the revenue for selling x items is given by:

$R(x)=68x-0.4x^2$

The profit function is the cost function subtracted from the revenue function:

$P(x)=R(x)-C(x)$

Substitute and simplify:

$\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}$

To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:

$300=-0.4x^2+28x-180$

Solve for x. Subtract 300 from both sides:

$-0.4x^2+28x-480=0$

We can divide both sides by -0.4:

$x^2-70x+1200=0$

Factor:

$(x-40)(x-30)=0$

Zero Product Property:

$x-40=0\text{ or } x-30=0$

Solve for each case:

$x=40\text{ or } x=30$

So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.

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3 years ago

3 3/4 x = 1 1/4 7/5 x = 7/15 x has to be the same in both equations.

madam [21]

Answer:

x = 1/3

Step-by-step explanation:

3 3/4x = 1 1/4

15/4x = 5/4

x = 5/4 * 4/15

x = 5/15 which reduces to 1/3

7/5x = 7/15

x = 7/15 * 5/7

x = 7/21 which reduces to 1/3

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3 years ago

If a permutation is chosen at random what is the probability that it begins with at least two A's

Sergio039 [100]

Answer:

Starting with AT LEAST 2 A's means starting with 3 A's, or starting with 2 A's with some different letter third.

P(AAA...) = (3/9)(2/8)(1/7) = 1/84

Step-by-step explanation:

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2 years ago

I WILL MARK AS BRAINLIEST

earnstyle [38]

Answer:

Step-by-step explanation:

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4 years ago

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