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3 years ago

12

The graph of f(x)=3•2^x -3 is shown below. G(x) is a transformation of f(x). How would you write the equation for the function g

(x)?

1 answer:

Bezzdna [24]3 years ago

3 0

Answer:

C

Step-by-step explanation:

To find the appropriate equation, notice the red graph has shifted up about 6 units. This means that $3*2^x-3$ which is shifted by -3 will move 6 up. -3+6= 3. This means the function will have +3. Only B and C are options. Now test a point. Notice the red function crosses the y-axis at about 5 or 6 when x=0.

$g(x) = 2^x+3\\g(0) = 2^0+3\\g(0)=1+3\\g(0)=4$

This function doesn't match.

$f(0) = 3*2^0+3\\f(0) = 3*1+3\\f(0)=6$

This function matches. Option C is correct.

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Which is the best description of 4 (21x÷7)

Lera25 [3.4K]

If by description you mean simplification then: 84x/28

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3 years ago

If p varies inversely with q, and p = 2 when q = 1, find the<br>equation that relates p and q.

NeTakaya

Answer:

p = $\frac{2}{q}$

Step-by-step explanation:

Given that p varies inversely with q then the equation relating them is

p = $\frac{k}{q}$ ← k is the constant of variation

To find k use the condition p = 2 when q = 1, thus

k = pq = 2 × 1 = 2

p = $\frac{2}{q}$ ← equation of variation

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3 years ago

Find the cost of a cd in 6years,assuming an inflation rate if 4% , if its present cost is $11.95

choli [55]

The cost of a cd after 6 year is =$ 15.12

Step-by-step explanation:

The present cost of the cd is $11.95 and inflation rate 4%

P = $11.95 , r = 4% and n = 6 years

The cost of a cd after 6 year is = $P (1+\frac{r}{100})^n$

=$ $11.95(1+\frac{4}{100})^6$

=$ 15.12

3 0

3 years ago

The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

3 years ago

An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to

iris [78.8K]

Answer: $BC=14.8$

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

$sin\alpha =\frac{opposite}{hypotenuse}$

In this case, you can identify that:

$\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24$

Substituting values, and solving for "x", you get:

$sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416$

Therefore, the length of BC rounded to nearest tenth, is:

$BC=2(7.416)=14.8$

6 0

2 years ago