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alex41 [277]
3 years ago
12

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 <em>x</em> items given by the function:

C(x)=40x+180

And the revenue for selling <em>x</em> 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 <em>P</em> equal 300 and solve for <em>x</em>. So:

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

Solve for <em>x</em>. 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 <em>or</em> 40 items.

7 0
3 years ago
3 3/4 x = 1 1/4<br> 7/5 x = 7/15<br><br> 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

7 0
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:

7 0
2 years ago
I WILL MARK AS BRAINLIEST
earnstyle [38]

Answer:

B

Step-by-step explanation:

B

5 0
4 years ago
Read 2 more answers
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