Write an expression using only a whole number base

Find f(6) if f(x) = x2 ÷ 3 + x. <br><br> 1.) 4 <br> 2.) 10 <br> 3.) 18

rodikova [14]

Plug 6 for x.

f(6) = 6^2 / 3 + 6
f(6) = 36 / 3 + 6
f(6) = 12 + 6
f(6) = 18

5 0

3 years ago

Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

Alisha is drawing a map of her school. She is not able to draw the map to scale because it would be too large. Each centimeter o

arsen [322]

Here we want to see which one of the given graphs is the one with the correct relationship between distance in centimeters and meters. We will see that the correct option is the first graph.

<h3>Working with changes of scale.</h3>

So we know that each centimeter on the map must represent 4 meters in reality, this is a change of scale, so the scale is:

1cm = 4m

First, this relation is linear (each centimeter will always be equal to 4 meters) so the two bottom options that are not linear can be discarded, so we only have the first and second graph.

If you read them, you can see that in the second one 1 meter is equivalent to something near 5 cm, so this is also incorrect.

The only graph that shows a correct scale is the first one, where for each increment of 1 unit on the horizontal axis (the one in centimeters) we have an increase of 4 m (estimated). This means that 1cm = 4m, as in our change of scale.

So the correct option is the first graph.

If you want to learn more about changes of scale, you can read:

brainly.com/question/9302261

4 0

2 years ago

How to set up this problem

HACTEHA [7]

Answer:

The son is five years old

Step-by-step explanation:

Let the son's age be x

A man is five as old as his son, 5x

In five years, he would be three times as old as his son

In five years: son would be x+5

Father 5x+5

3(x+5)=5x+5

3x+15=5x+5

Collect like terms

15-5=5x-3x

10=2x

Divide by 2

10/2=2x/2

x=5

The son is five years old

5 0

3 years ago

Find the compound interest compounded annually on rupees 2700 rate 6 ⅔% per annum and time is 2 years

dalvyx [7]

<u>Answer:</u>

plz mark me as brainliest ...TOOK ME LONG TIME TO TYPE

answer = CI = 3108 RUPEES

<u>Step-by-step explanation:</u>

i am doing the method in which u find the simple interest of first year then second year.

SI FOR 1ST YEAR= P X R X T / 100

SI = 2700 X 20 X 2 / 3 X 100 ( RATE OF INTEREST IS 20 / 3)

SI = 108000/300

SI = 360

SI FOR SECOND YEAR =

P = 2700 + 360= 3060

SI = 3060 X 20 X 2 / 300

SI= 122400 / 300

SI = 408

COMPOUND INTEREST (CI) = PRINCIPLE + SI OF 2ND YEAR

CI = 2700 + 408

CI = 3108 RUPEES

or u can solve be the method

CI = amount - principle

Amount= principle x (change in ratio) raised to time

***************************************

6 0

3 years ago