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2 years ago

Someone please helpThe table shows values for functions f(x) and g(x) .

Mathematics

2 answers:

OLga [1]2 years ago

8 0

Answer:

x=0 and x=2

Step-by-step explanation:

To find the correct options compare the results in the column of f(x) with the ones in the column in g(x). Every time the two values are the same you have a correct answer, and this happens twice in the table, the first at x=0 (f(x) and g(x) are equals to -3) and the second at x=2 (f(x) and g(x) are equals to 0).

viva [34]2 years ago

6 0

The answer to the question is x = 0

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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

Please help with b if you understand

vagabundo [1.1K]

I believe if I'm correct the answer is 2a 3b 4c

0 ? f

Sorry I couldn't figure out the one with the question mark.

7 0

3 years ago

Which model represents 2 x 0.9?

rjkz [21]

Answer:

<h2>Model B</h2>

Step-by-step explanation:

The model needs to show 1.8 because 2 x 0.9 = 1.8. Model B is the only model that shows this.

<em>Hope this helps</em>

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3 years ago

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F(x)

Ludmilka [50]

F(x) = 5 + 2x where x is the number of times he walks the neighbours dog
y-intercept is at y=5 and slope = 2

g(x) :- As x increases by 4 g(x) decreases by -8 so the slope is -8/4 = -2
when x = 0, g(x) = the y intercept is at -1 + (-8/2) = - 5
so equation of g(x) is g(x) = -5 -2x
h(x):- the slope is (3 - 5) / (1 - 0) [ difference in y values / diff in x values]
slope = -2
so we have h(x) = -2x + c where c = the y-intercept
when x = 0 h(x) = 5
so c = 5
h(x) = 5 - 2x

Now j(x)= 2x - 5 - slope is 2 and y intercept = -5

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3 years ago

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How can you write 5+5+5 using a different math operation

Len [333]

Answer:

five plus five plus five

Step-by-step explanation:

This is in wording

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2 years ago

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