To find 27 x 600 just plus 27 + 27+ 27 + 27 + 27 + 27 = 162 then add the zeros in 600. That is the answer

the graph of a quadratic function f passes through the origin and the maximum value of f is 5 when x=4 find f

Hitman42 [59]

Answer:(-5/16)x^2 +(5/2)x

Step-by-step explanation:

7 0

2 years ago

-| x-4| + 2 = -2x + 7

astraxan [27]

X=3

Let's solve your equation step-by-step.

−

|

x

−

4

|

+

2

=

−

2

x

+

7

Step 1: Add -2 to both sides.

−

|

x

−

4

|

+

2

+

−

2

=

−

2

x

+

7

+

−

2

−

|

x

−

4

|

=

−

2

x

+

5

Step 2: Divide both sides by -1.

−

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x

−

4

|

−

1

=

−

2

x

+

5

−

1

|

x

−

4

|

=

2

x

−

5

Step 3: Solve Absolute Value.

|

x

−

4

|

=

2

x

−

5

We know either

x

−

4

=

2

x

−

5

or

x

−

4

=

−

(

2

x

−

5

)

x

−

4

=

2

x

−

5

(Possibility 1)

x

−

4

−

2

x

=

2

x

−

5

−

2

x

(Subtract 2x from both sides)

−

x

−

4

=

−

5

−

x

−

4

+

4

=

−

5

+

4

(Add 4 to both sides)

−

x

=

−

1

−

x

−

1

=

−

1

−

1

(Divide both sides by -1)

x

=

1

x

−

4

=

−

(

2

x

−

5

)

(Possibility 2)

x

−

4

=

−

2

x

+

5

(Simplify both sides of the equation)

x

−

4

+

2

x

=

−

2

x

+

5

+

2

x

(Add 2x to both sides)

3

x

−

4

=

5

3

x

−

4

+

4

=

5

+

4

(Add 4 to both sides)

3

x

=

9

3

x

3

=

9

3

(Divide both sides by 3)

x

=

3

Check answers. (Plug them in to make sure they work.)

x

=

1

(Doesn't work in original equation)

x

=

3

(Works in original equation)

7 0

3 years ago

PLEASE HELP!! <br><br><br> Does this circle have a radius or a diameter?

svetoff [14.1K]

Answer:

2yd is the radius.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that

Vinvika [58]

Answer:

Population in 1998 year = 6.22 billion

Step-by-step explanation:

Given:-

- The population in year 1987, Po = 5 billion

- Growth rate, r = 2%

- World population follows an exponential growth model

Find:-

The projected world population in 1998.

Solution:-

- The exponential growth model is mathematically expressed as:

Population in x year = Po* ( 1 + r/100)^( x - xo )

Where, xo: The base year.

- Plug in the values and solve for the projected population in year 1998:

Population in 1998 year = 5,000,000,000* ( 1 + 2/100)^( 1998 - 1987 )

Population in 1998 year = 5,000,000,000* ( 1 + 0.02)^( 11 )

= 5,000,000,000* ( 1.02 )^( 11 )

= 6.22 billion

8 0

3 years ago

Read 2 more answers

P (2, 3) and Q (6, 10) are two points on the Cartesian plane.

lara31 [8.8K]

Step-by-step explanation:

Given:

$(x_1, \: y_1 ) =(2, \:3)\:\:\&\:\: (x_2, \: y_2) =(6, \:10)$

$l(PQ) = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2}} \\ \\ = \sqrt{ {(2 - 6)}^{2} + {(3 - 10)}^{2}} \\ \\ = \sqrt{ {( - 4)}^{2} + {( - 7)}^{2}} \\ \\ = \sqrt{16 + 49} \\ \\ = \sqrt{65} \\ \\ \therefore \purple{ \boxed{ l(PQ) = 8.06 \: units}}\\\\$

Let S be the mid-point of PQ.

$\therefore S = \{\frac{x_1+x_2}{2}, \:\:\frac{y_1+y_2}{2}\} \\\\= \{\frac{2 +6}{2}, \:\:\frac{3+10}{2}\} \\\\= \{\frac{8}{2}, \:\:\frac{13}{2}\} \\\\\therefore S= \{4, \:\:6.5\} \\\\$

Equation of line PQ is given as:

$\frac{y-y_1}{y_1 - y_2}=\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-3}{3 - 10}=\frac{x-2}{2 - 6} \\\\\therefore \frac{y-3}{-7}=\frac{x-2}{-4} \\\\\therefore \frac{y-3}{7}=\frac{x-2}{4} \\\\\therefore 4(y-3)=7(x-2)\\\\\therefore 4y-12=7x-14\\\\\therefore 7x-14 - 4y + 12=0\\\\\red{\boxed {\therefore 7x-4y - 2 =0}}$

4 0

3 years ago

Read 2 more answers