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natka813 [3]
3 years ago
11

Don has an album that holds 600 coins. Each page of the album holds 6 coins. If 68​% of the album is​ empty, how many pages are

filled with coins​?
Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

Answer:

Step-by-step explanation:

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Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?
Vilka [71]

Answer:

\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

\sf \implies p(x)=- x^3+cx^2-4x+3

And the factor is ,

\sf \implies g(x) = x + 3

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}

<h3><u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>is </u><u>(</u><u>-</u><u>1</u><u>4</u><u>)</u><u>/</u><u>3</u><u> </u><u>.</u></h3>
4 0
3 years ago
Which of the following is a result of shifting a circle with equation (x + 3)² + (y - 2)² = 36 left 3 units?
Furkat [3]
A circle with equation:
( x + 3 )² + ( y - 2 )² = 36
Center of a circle: C ( - 3, 2 )
r = 6 ( the radius of a circle stays the same )
After shifting 3 units left : C 1 ( - 6, 2 ).
Answer:
( x + 6 )² + ( y - 2 )² = 36 
5 0
3 years ago
Read 2 more answers
Which of these is an example of software?
MaRussiya [10]
A) windows, I learned this in a tech class I took
6 0
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Six friends went out to lunch they each started with the same amount of money and they each spent 8$ they ended with a combined
ss7ja [257]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
Ayuda!!!!por favorrrrrrrrrrrrrrr
JulsSmile [24]

Answer:

z=24 y=5 x=12

Step-by-step explanation:

x+8=20  x=20-8 x=12

z+1=25 z=25-1 z=24

y+10=15 y=15-10 y=5

4 0
3 years ago
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