All categories

2 years ago

Use rounding or compatible numbers to estimate the sum. 256+321

1 answer:

3 0

256 being rounded would become 260 and 321 would become 320 so adding up the estimates the would be 580 (real answer is 577)

You might be interested in

Lan Ventor designs a new board game and offers the design to Paddington Games p.l.c.

Andrej [43]

In order to make the offer attractive such that it would earn £25,000 for Ian Vector, Paddington Games would have to sell 460 games.

The game can be sold for £25,000 or for £2,000 and then a fee of £50 for every game sold.

In order for the amount to be the same, the amount from games sold will have to equal the difference between the £25,000 and the £2,000.

Difference is:

= 25,000 - 2,000

= £23,000

The <u>number of games to be sold</u> is:

= Difference / Amount per game

= 23,000 / 50

= 460 games

In conclusion, 460 games need to be sold to make the offer attractive.

<em>Find out more at brainly.com/question/2865277.</em>

5 0

1 year ago

Figure abcd is a square. Find the measure of < ABE

kotegsom [21]

Answer:

45 degrees

Step-by-step explanation:

Because the shape is a square, all of the sides are equal and all of the angles are 90 degrees. From there you simply divide 90 by 2.

3 0

2 years ago

Read 2 more answers

Im leaving brainly first to this question gets brainliest i giving away all my points so i have only have one question

ehidna [41]

Answer:

gta v

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What are the zeros of the function f(x) = x2 + 8x +4, expressed in simplest radical form?

Elanso [62]

Answer:

x = - 4 ± 2 $\sqrt{3}$

Step-by-step explanation:

Given

f(x) = x² + 8x + 4

To find the zeros let f(x) = 0, that is

x² + 8x + 4 = 0 ( subtract 4 from both sides )

x² + 8x = - 4

To solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = - 4 + 16

(x + 4)² = 12 ( take the square root of both sides )

x + 4 = ± $\sqrt{12}$ = ± 2 $\sqrt{3}$ ( subtract 4 from both sides )

x = - 4 ± 2 $\sqrt{3}$

Thus the zeros are

x = - 4 - 2 $\sqrt{3}$ and x = - 4 + 2 $\sqrt{3}$

5 0

3 years ago

1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

${x}^{2} + 5x + 6 = 3x + 6$

Rewrite in standard form:

${x}^{2} + 5x - 3x + 6 - 6 = 0$

${x}^{2} + 2x = 0$

$x(x + 2) = 0$

$x = 0 \: or \: x = - 2$

When we put x=0, in y=3x +6, we get:

$y = 3(0) + 6 = 6$

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

$y = 3( - 2) + 6 = 0$

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

$f( - x) = {x}^{6} - {x}^{4}$

We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

The average rate of change of f(x) from x=a to x=b is given as:

$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

$= \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11$

The average rate of change is 11

3 0

3 years ago