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Kipish [7]
3 years ago
13

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) - 4? A) shifts the line 4 units

up B) shifts the line 4 units down C) increases the slope of the line by a factor of 4 D) decreases the slope of the line by a factor of 4
Mathematics
2 answers:
KengaRu [80]3 years ago
8 0

Answer:

B) shifts the line 4 units down.

Step-by-step explanation:

The constant negative number makes a vertical translation of the parent function in the -y direction. Slope keeps intact. So, the right answer is B.

kow [346]3 years ago
7 0

Answer:

  B) shifts the line 4 units down

Step-by-step explanation:

The point (x, f(x)) is moved to the point (x, f(x)-4), one with a y-coordinate 4 units lower. The line is shifted down 4 units.

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What is the product?
victus00 [196]

Answer:

\begin{bmatrix}-2\\0 \end{bmatrix}

Step-by-step explanation:

We have the product, 2\times \begin{bmatrix}-1\\0 \end{bmatrix}.

It is known that,

'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.

So, we get,

2\times \begin{bmatrix}-1\\0 \end{bmatrix}.

⇒ \begin{bmatrix}-1\times 2\\0\times 2 \end{bmatrix}

⇒ \begin{bmatrix}-2\\0 \end{bmatrix}

So, the resulting product is \begin{bmatrix}-2\\0 \end{bmatrix}.

8 0
3 years ago
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Simplify the expression below, I really just need the steps I have the answer (also can someone tell me how to edit points on th
Sloan [31]

Answer:  3x^2y\sqrt[3]{y}\\\\

Work Shown:

\sqrt[3]{27x^{6}y^{4}}\\\\\sqrt[3]{3^3x^{3+3}y^{3+1}}\\\\\sqrt[3]{3^3x^{3}*x^{3}*y^{3}*y^{1}}\\\\\sqrt[3]{3^3x^{2*3}*y^{3}*y}\\\\\sqrt[3]{\left(3x^2y\right)^3*y}\\\\\sqrt[3]{\left(3x^2y\right)^3}*\sqrt[3]{y}\\\\3x^2y\sqrt[3]{y}\\\\

Explanation:

As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.

4 0
3 years ago
Alexis scale drawing represents the longest side of the storage bin as 2 3/4 inches. What is the actual length, in feet, of the
Whitepunk [10]

Answer: The correct answer is C,

5 1/2 feet

Step-by-step explanation:

Alexis' scale drawing represents the longest side of the storage bin as 2 3/4 inches. Converting to improper fraction, it becomes 11/4 inches. This is also 2.75 inches.

The scale used is 1/2 inch = 1 feet. This means that a length of 1 feet of the longest side of the actual storage bin is 1/2 inch on the drawing.

Let the actual length, in feet of the longest side of the storage bin be x feet. Therefore

If 0.5 inch = 1 feet

2.75 inch = x

0.5x = 2.75 × 1

x = 2.75/0.5 = 5.5 feet

6 0
3 years ago
Slide and transformation
Ludmilka [50]

The rule that describes this transformation is (x - 3, y + 1)

Step-by-step explanation:

Step 1:

The points of the trapezoid are

M; (-3, -1),

N; (-4, 3),

P; (1, 3), and

Q; (-1, -1).

Step 2:

To translate the points to 3 units on the left, we subtract the x coordinate by 3 because it is moved to the left. So x becomes x - 3.

In order to translate the points to 1 unit up, we add 1 to the y coordinate as it is moved in the positive direction of y. So y becomes y + 1.

Combining these we get (x, y) becomes (x - 3, y + 1).

5 0
3 years ago
A population of 100 frogs has a growth rate of 1.25% each month. At this growth rate,
Dmitriy789 [7]

Answer: 7.2 months

Step-by-step explanation:

Hi, to answer this question we have to substitute f(x) =500 in the equation given:

f(x) = 100(1.25)^x

500= 100(1.25)^x

Solving for x (number of months)

500/100 = 1.25^x

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log 5 =log 1.25^x

log 5 =x (log 1.25)

log 5 /log 1.25 =x

x = 7.2 months

Feel free to ask for more if needed or if you did not understand something.  

8 0
3 years ago
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