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2 years ago

10

A shoebox measures 15" x 7" x 4.5" what is the surface area of the box

2 answers:

dmitriy555 [2]2 years ago

6 0

15x7= 105
105x4.5=472.5

diamong [38]2 years ago

3 0

Do 15•7 then 7•4.5 then 7•4.5

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%282x%2B1%29%28x-5%29%7D%7B%28x-5%29%28x%2B4%29%5E%7B2%7D%20%7D" id

dybincka [34]

i) The given function is

$f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}$

The domain is

$(x-5)(x+4)^2\ne 0$

$(x-5)\ne0,(x+4)^2\ne 0$

$x\ne5,x\ne -4$

ii) For vertical asymptotes, we simplify the function to get;

$f(x)=\frac{(2x+1)}{(x+4)^2}$

The vertical asymptote occurs at

$(x+4)^2=0$

$x=-4$

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

$2x+1=0$

$2x=-1$

$x=-\frac{1}{2}$

iv) To find the y-intercept, we substitute $x=0$ into the reduced fraction.

$f(0)=\frac{(2(0)+1)}{(0+4)^2}$

$f(0)=\frac{(1)}{(4)^2}$

$f(0)=\frac{1}{16}$

v) The horizontal asymptote is given by;

$lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0$

The horizontal asymptote is $y=0$ .

vi) The function has a hole at $x-5=0$ .

Thus at $x=5$ .

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0

2 years ago

Rajit buys 4 pairs of socks for $2.50 per pair. He pays with a $20 bill.

sveta [45]

2.50 x 4 = 10

20 - 10 = 10

so his change would be $10

5 0

2 years ago

Read 2 more answers

Joe and grace are baking cookies.they need a total of 2 cups of sugar for the recipe. Joe has 11/10 cups of sugar and grace has3

labwork [276]

No, Joe and Grace don’t have enough together because 11/10 is only 1.1 and 3/4 is .75 and u add that together u get 1.85 which is less 2.

Grace needs 12 cups of sugar to make the cookies because 1 cups of sugar makes 6 cookies and each person is getting 3 that’s only enough for 2 people , so multiple every by 12 to get 24 people, 12 cups of sugar, and 72 cookies .

6 0

2 years ago

Kisachek [45]

Answer:

13,784

Step-by-step explanation:

3 0

2 years ago

In Smallille, 2,400 out of 20,000 workers are unemployed.In Bigtown, 6,750 out of 75,000 workers are unemployed. Which town has

viktelen [127]

2400/20000 = 0.12;
6750/75000 = 0.09;
Because 0.12 > 0.09, Smallille has a larger unemployed problems than Bigtown.

4 0

2 years ago