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2 years ago

Write a quadratic function that has been translated 1 units to the right and 3 units down.

Mathematics

1 answer:

vodka [1.7K]2 years ago

6 0

Step-by-step explanation:

Hi,

f(x) = (x - 1) - 3

The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)

And the -3 is not embedded with the x, meaning the function will move 3 units down.

I hope this helps :)

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What is the constant rate of change in the function y=5x? 1/5 x 5 1

SashulF [63]

Answer:

Step-by-step explanation:

The rate of change is the slope

y = 5x

The slope is the constant in front of the x

The constant rate of change is 5

3 0

3 years ago

Read 2 more answers

Sin5A/SinA-cos5A/cosA=4cos2A

irina1246 [14]

Answer:

See Explanation

Step-by-step explanation:

$\frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ LHS = \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} \\ \\ = \frac{ \sin5A \:\cos A - \cos5A \: \sin A}{\sin A \:\cos A } \\ \\ = \frac{ \sin(5A -A )}{\sin A \:\cos A} \\ \\ = \frac{ \sin 4A}{\sin A \:\cos A} \\ \\ = \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ =4\cos 2A \\ \\ = RHS \\ \\ thus \\ \\ \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ hence \: proved$

5 0

3 years ago

Find the area of the shape shown below.

steposvetlana [31]

Answer:

The area of the figure is 28 units².

Step-by-step explanation:

Find the area of the full rectangle, ignoring the triangle.

$a = lw \\ a = 4 \times 8 = 32$

Then, find the area of the triangle:

$a = \frac{bh}{2} \\ a = \frac{2 \times 4}{2} \\ a = 4$

Finally, subtract:

$32 - 4 = 28$

7 0

3 years ago

Help me please I put 50 points idk how much it actually gives

tatuchka [14]

You weren't clear on instructions

7 0

3 years ago

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The sales tax on a 15,000 car is 540. at this rate what is the tax on a 32,000 car

maria [59]

Note : Since unit of currency is not defined, I'll be using units.

Sales tax on a 15000 units car = 540 units
540 = 15000 × tax% / 100
=> 540 = 15000 × tax% / 100
=> 540/15000 = tax% / 100
=> tax% = (540/15000) × 100
=> tax% = 540/140
=> tax% = 3.6

now,
sales tax on a 32000 units car = 32000 × tax%/100
= 32000 × 3.6/100
= 320 × 3.6
= 1152 units
therefore sales tax on a 32000 units car = 1152 units

4 0

3 years ago