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3 years ago

f(x)= x^2 - 2x find the following: f(6)=[ ], f(-3)=[ ], and finally, find f(-4)=[ ] thank you.

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Answer:

f(6) =6^2 - 2(6)

f(6) = 36 - 12

f(6) = 24

f(-3) = (-3)^2 - 2(-3)

f(-3) = 9+6

f(-3) = 15

f(-4) = (-4)^2 - 2(-4)

f(-4) = 16 + 8

f(-4) = 24

Step-by-step explanation:

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The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of

lilavasa [31]

Answer:

1. $\boxed{\text{400 ft}^{2}}$ ; 2. $\boxed{\frac{1}{3716}}$

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is

A = l² = (20 ft)² = $\boxed{\text{400 ft}^{2}}\\$

Step 2. Calculate the area ratios

We must express both areas in the same units.

Let's express the area of the room in square centimetres.

l = 20 ft × (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

$\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\$

The ratio of the area in the drawing to the actual area is $\boxed{\frac{1}{3716}}$

8 0

3 years ago

A rectangular magazine cover is photocopied by using a scale factor of One-third. The length of the photocopy of the magazine co

seraphim [82]

Answer: "reduced by a factor of One-third."

Step-by-step explanation:

Suppose that the original magazine has a length L and a width W.

If it is photocopied using a scale factor of K, then the measures of the photocopy will be:

length = K*L

Width = K*W

In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:

length = (1/3)*L = L/3

Width = (1/3)*W = W/3

For usual notation:

When k > 1, we have an enlargement by a factor k

when 0 < k < 1, we have a reduction by a factor k

in this case, k = 1/3, then:

We have a reduction by a factor of 1/3

The correct option is:

"reduced by a factor of One-third."

7 0

3 years ago

Read 2 more answers

Which statements are true?

Mashutka [201]

Answer:

It doesn’t necessarily ask for reasoning, but I’ll just say all of the above are correct, the definition of congruent is “identical in form” or the same. A 25 degree angle would be congruent to a 25 degree angle, two intersecting lines form 4 angles or two lines that equal 180 degrees on each side, and both angle pairs of 2 are gonna be congruent to each other respectively, and two congruent angles of 45 degrees would add up to 90 degrees.

6 0

3 years ago

Solve and express your answer in both scientific and standard notation.

swat32

Answer:

8.4 x 10^10 in scientifif notation is the same, in regular its 84000000000

3 x 10^7 in scientific notation is the same and in regular its 30000000

7 0

3 years ago

Read 2 more answers

Show work please and thanks!

Zigmanuir [339]

Hello there!

On those type of angles, the angles that are facing each other is equal to another.
So you can set up the equation like this :

10x + 1 = 12x - 5
-2x = -6
x = 3

So the answer is x = 3.

In some problems, you have to find the angle.
Then you just simply substitute 3 into x.

10x + 1
10(3) + 1
30 + 1
31

12x - 5
12(3) - 5
36 - 5
31
The angles are 31° and 31°.

Hope this helped! :)

3 0

4 years ago