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Cerrena [4.2K]
3 years ago
8

Alex says that the function f(x) = (3x)2 represents a vertical stretch of the quadratic parent function by a factor of 3. Marta

says that it represents a horizontal compression by a factor of 1/3 . Decide whether one student is correct, both are correct, or neither is correct
Mathematics
1 answer:
gavmur [86]3 years ago
6 0

Our parent function is f(x)=x^2. A vertical stretch by a factor of k means that every point (x,f(x)), has been transformed into (x,kf(x)). Alex is clearly incorrect as our parent function has been transformed to (x,9f(x)), not (x,3f(x)). A horizontal stretch(or compression) by a factor of k means our function has been transformed to (x/k,f(x)). Here, Marta is saying our function should look like (3x,f(x)). This can also be achieved by plugging 3x into the parent function, which would give us f(3x)=(3x)^2, so it seems that Marta is the correct one.

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X - y = 3<br> x + 3y = 9
Ugo [173]
Solve for one of the variables in the first equation (in this case, I will solve for X):
X = Y + 3

Then use that value of X in the second equation to solve for Y:
X + 3Y = 9
(Y + 3) + 3Y = 9
4Y + 3 = 9
4Y = 6
Y = 1.5

Use the value of Y we just found in the X equation we created:
X = Y + 3
X = 1.5 + 3
X = 4.5

Therefore X = 4.5 or 9/2 and Y = 1.5 or 3/2.
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3 years ago
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Which expression represents the difference (4b+7)−(6b−3)? show your work..
Zina [86]

Answer:

-2b + 10

Step-by-step explanation:

(4b + 7) - (6b - 3)

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Is 9/10 larger than 13/14
Reptile [31]

Answer:

13/14 is greater

Step-by-step explanation:

Find the lcm for both:

<u>9 x 7 </u>     = <u>63</u>

10 x 7        70

<u>13 x 5 </u>    = <u>65</u>

14 x 5        70

so therefore 13/14 is greater since it has a greater value when finding the lcm

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expeople1 [14]

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

Read more about logarithm at:

brainly.com/question/20785664

#SPJ1

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