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hodyreva [135]
3 years ago
7

Help please and thank you: The graph of f x = x2 − 2x − 3 is shown. Which of these describes the effect changing f x to f −2x wi

ll have on the graph?

Mathematics
1 answer:
Lemur [1.5K]3 years ago
5 0

Answer:

Option (C).

Step-by-step explanation:

Graphed function is,

f(x) = x² - 2x - 3

     = x² - 2x + 1 - 1 - 3

     = (x² - 2x + 1) - 4

     = (x - 1)² - 4

f(-2x) = (-2x)² - 2(-2x) - 3

        = 4x² + 4x - 3

        = 4(x² + x) - 3

        = 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3

        = 4(x + 0.5)² - 1 - 3

        = 4(x + 0.5)² - 4

        = 4[(x - 1) + 1.5]² - 4

Therefore, parent function 'f' will be a horizontal shrink by 4 units and  shifted 1.5 units to the left.

Option (C) will be the answer.

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In answering a question on a multiple-choice test, a student either knows the correct answer or guesses it. Let 0.7 be the proba
Dahasolnce [82]

Answer:

The probability is 0.9211

Step-by-step explanation:

Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.

So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:

P(K/C)=P(K∩C)/P(C)

Where P(C) = P(K∩C) + P(G∩C)

Then, the probability P(K∩C) that the student know the answer and it is correct is:

P(K∩C) = 0.7

On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:

P(G∩C) = 0.3*0.2 = 0.06

Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.

Therefore, The probability P(C) that the answer is correct is:

P(C) = 0.7 + 0.06 = 0.76

Finally, P(K/C) is:

P(K/C) = 0.7/0.76 = 0.9211

7 0
3 years ago
Find the product (4x-3) (3x+8)
m_a_m_a [10]

Hi there!

Assuming "Find the product" means multiplying (4x-3) by (3x+8) and factor to it's simplest form the answer would be:

12x²+23x-24

The way you solve this is by using the distributive property of multiplication as shown below:

Start by multiplying -3 from (4x-3) by everything in (3x+8)

3x*(-3) = -9x

8*(-3) = -24

Once you've done that you then multiply everything 4x

4x*8 = 32x

4x*3x = 12x²

(Note: when multiplying two of the same variables like x it means you are multiplying x by itself which is the same as x²)

When you put all of this together it looks like this

12x²+32x-9x-24

from there we combine like terms

32x-9x = 23x

to get

12x²+23x-24

I hope this helps!

God bless,

ASIAX

4 0
2 years ago
A^2+b^2+c^4=2020. Yes
pychu [463]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve for x: 7-3x=-2/5x-69/5
san4es73 [151]

Answer:

x = 8

Step-by-step explanation:

Step 1: Simplify both sides.

7 - 3x = -2/5x - 69/5

7 + - 3x = -2/5x + -69/5

-3x + 7 = -2/5x + -69/5

Step 2: Add 2/5x to both sides.

-3x + 7 + 2/5x  = -2/5x + -69/5 + 2/5x

-13/5x + 7 = -69/5

Step 3: Subtract 7 from both sides.

-13/5x + 7 - 7 = -69/5 - 7

-13/5x = -104/5

Step 4: Multiply both sides by 5/(-13)

(5/-13) * (-13/5x) = (5/-13) * (-104/5)

x=8

8 0
3 years ago
Which statement is true about a line segment? It extends to infinity in both directions. It has no width. It has no measurable l
Mrac [35]
The answer would be it extends to infinity in both directions

4 0
3 years ago
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