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2 years ago

13

A baker has 88 muffins. he fills large boxes the hold 9 muffins he puts the leftovers in small box how many muffins are in the s

mall box?

1 answer:

kvv77 [185]2 years ago

3 0

7 muffins. 9x9=81 so that means there's 7 left over to go in the small box

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Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

<em>x = 0 or 1 or -1</em>

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

<em>x= 5 or x = -7</em>

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

<em>The above function has no x intercept.</em>

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

2 years ago

Whats a fraction thats equivalent to 3/12

Ad libitum [116K]

Answer:

1/4

Step-by-step explanation:

Yes

6 0

3 years ago

Read 2 more answers

Help Me With These Please

Gwar [14]

Look up the formula to find the area of a trapezoid. Then do the math HINT: The formula is

A= a+b/2 h

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3 years ago

What is y=2/5x+800 graphed

marusya05 [52]

Answer:

The graph is a line with a gradient of 2/5, and which runs through the coordinate (0, 800) and (0, -2000).

Step-by-step explanation:

You can graph any line by drawing a line through two points that are on that line, and thus are part of the magical equation, which accounts for the description of any point on that line.

In fact that is exactly how a computer draws a graph. It plots a dot, wich coordinates are calculated by substituting a value in the formula. Next it does that for another coordinate, very close to the first one. Now you have two dots next to each other... and so on.

Because computers can calculate extremely fast, within an instant, the result is a plotted chart, which in this case looks like the graph of a line.

It's graph is a line with a gradient of 2/5, which goes through the y-axis at the coordinate (0, 800).

You could find another pont on this line, by randomly choosing a simple number for x and substituting that value in the equation. For an example, you could substitute x =2 in y=2/5x+800.

y = 2/5x+800

x = 2

y = 2/5*(2)+800

y = 10/5+800

y = 2+800

y = 802

So you now have another point (5, 802)

In general it is best to search for the value of x, when you substitute y = 0.

y = 2/5x + 800

y = 0

0 = 2/5x + 800

2/5x = ( -800 )

x = 5/2 * ( -800 )

x = -4000 / 2

x = -2000

So you now have another point ( which goes through the x-axis ) at the coordinate (0, -2000).

Now you can draw the graph of y=2/5x+800.

8 0

3 years ago

Knowing that ΔQPT ≅ ΔARZ, a congruent side pair is:

Travka [436]

I would say the answer is A.

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3 years ago

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