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3 years ago

Sarah paints the box below. she paints the whole box except for the front face what area of the box does she paint

Mathematics

1 answer:

Anit [1.1K]3 years ago

8 0

This would be 3/4 if it's a fraction problem

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Find a polynomial of the form

Sloan [31]

Answer:

$f(x)=-\frac{1}{4}x^3-\frac{1}{6}x^2+\frac{65}{12}x-3$

Step-by-step explanation:

We are given that

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

f(0)=-3,f(1)=2,f(3)=5 and f(4)=0

We have to find the polynomial

Substitute the value x=0 then ,we get

f(0)=d=-3

Substitute x=1 then we get

$a+b+c-3=2$

$a+b+c=2+3=5$

$a+b+c=5$ (equation I)

Substitute x=3 then we get

$a(3)^3+b(3)^2+c(3)-3=5$

$27a+9b+3c=5+3=8$

$27a+9b+3c=8$ (Equation II)

Substitute x=4 then we get

$a(4)^3+b(4)^2+c(4)-3=0$

$64a+16b+4c=3$ (Equation III)

Equation I multiply by 3 then subtract from equation II

$24a+6b=-7$ (Equation IV)

Equation II multiply by 4 and equation III multiply by 3 and subtract equation II from III

$84a+12b=-23$ (Equation V)

Equation IV multiply by 2 and then subtract from equation V

$36a=-9$

$a=-\frac{9}{36}$

$a=-\frac{1}{4}$

Substitute the value of a in equation IV then we get

$24(-\frac{1}{4})+6b=-7$

$-6+6b=-7$

$6b=-7+6=-1$

$b=-\frac{1}{6}$

Substitute the value of b in equation I then we get

$-\frac{1}{4}-\frac{1}{6}+ c=5$

$-\frac{5}{12}+c=5$

$c=5+\frac{5}{12}=\frac{65}{12}$

Substitute the values then we get

$f(x)=-\frac{1}{4}x^3-\frac{1}{6}x^2+\frac{65}{12}x-3$

5 0

4 years ago

#60 I don’t know how what to do

Salsk061 [2.6K]

5ab⁴ is correct.....,,

6 0

4 years ago

Sally built a rectangular prism using cubic units. What is the volume of the rectangular prism Sally built?

prohojiy [21]

Answer:

Step-by-step explanation:

The volume of rectangular prisms is measured by l*w*h

And by counting the units of the length, width, and height are all 4 units long.

So take the numbers and plot them into the formula

4*4*4 = V

16 * 4 = V

64 = V

The prism is 64 cubic units.

7 0

3 years ago

7 people share 3 cookies what part of a cookie does each person get

jeka57 [31]

Answer:

idk mabey half of 25%

Step-by-step explanation:

7 0

4 years ago

HELP PLZZ

valentina_108 [34]

Y = 11.5x + 22
y = -13x + 218

when will their balance be the same.....ur basically just subbing in 1 y for the other and u get :
11.5x + 22 = -13x + 218....now we solve for x
11.5x + 13x = 218 - 22
24.5x = 196
x = 196 / 24.5
x = 8 <== they will be the same at 8 weeks

11.5(8) + 22 = 114
-13(8) + 218 = 114
and they will both have $ 114 at 8 weeks <===

3 0

3 years ago

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