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Aliun [14]
2 years ago
10

Which function g represents the exponential function f(x) = 5x after a vertical stretch by a factor of 2 and a reflection across

the x-axis?
A. g(x) = (2 ⋅ 5)−x B. g(x) = −(2 ⋅ 5)x C. g(x) = 2 ⋅ (5)−x D. g(x) = −2 ⋅ (5)x
Mathematics
1 answer:
irinina [24]2 years ago
7 0

Answer:

g(x) = -2 • 5^x

Step-by-step explanation:

the reflection across the x-axis makes the equation negative. the 2 is the verticals stretch.

(also got the answer correct on a test)

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I need help do you guys know how to help me with this
Stells [14]

Answer:

Quadratic, Linear, Exponential.

Step-by-step explanation:

You can find the average difference between rows. For example, in the first one, between the ys, it changes by 1, then 3, then 5, then 7. If you look at the changes between these you get 2 each time. Because you had to look at the differences twice, its quadratic. It's linear if you had to look at it once. Exponential you can just see if you can multiply the same constant between each row.

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3 years ago
The measure of ZPQS is 180°. The measure of ZRQS is 30°.
Ray Of Light [21]
The measure of ZPQR is C. 150°
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2 years ago
From the top of a lighthouse 280 feet tall, to keep her spot a ship in distress at an angle of depression of 18°. How far is the
solong [7]

Given:

Height of the lighthouse = 280 feet

The angle of depression from the top of the lighthouse to a ship = 18°.

To find:

The distance between boat and shore.

Solution:

Draw a diagram by using the given information.

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

In triangle ABC,

\tan C=\dfrac{AB}{BC}

\tan 18^\circ=\dfrac{280}{BC}

BC=\dfrac{280}{\tan 18^\circ}

Using a calculator, we get

BC=\dfrac{280}{0.3249}

BC=861.80363...

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Therefore, the boat is 862 feet away from shore.

4 0
3 years ago
Which function rule represents h(x) as an independent function?
Salsk061 [2.6K]
<span>h(x)=4x2−7x−17
a get like this:
</span>h(x)=f(x)−g(x) =6x2−3x−9-(2x2+4x+8)=6x2−3x−9-2x2-4x-8=4x2−7x−17
4 0
3 years ago
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If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS. Concl
DIA [1.3K]

Answer:

All given information leads to conclusion described on statement. (QR = RS)

Step-by-step explanation:

The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) R is a point of segment QS and ii) R is the midpoint of QS. We proceed to perform the demonstration:

1) R\in QS, R is the midpoint of QS. Given.

2) Q - R = R -S Definition of midpoint.

3) QR = RS Definition of segment/Result.

All given information leads to conclusion described on statement. (QR = RS)

8 0
3 years ago
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