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2 years ago

14

48+58With remainder

1 answer:

Vilka [71]2 years ago

8 0

$48+58=106$

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3x - 5y = 10 6x + 3y = -6 Marybeth is going to solve this problem by multiplying the top equation by -2. If she does this and co

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Nothing, x=0 and y=-2

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Please help me!! ASAPPPLL

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3 years ago

Verify in the following whether g(x) is a factor of p(x)

notsponge [240]

$\red{\large\underline{\sf{Solution-i}}}$

Given that,

$\rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2$

and

$\rm \longmapsto\:g(x) = x - 2$

<em>We know, </em>

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

$\rm \longmapsto\:p(2)$

$\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2$

$\rm \: = \: 16 - 8 - 4 - 4$

$\rm \: = \: 16 - (8 + 4 + 4)$

$\rm \: = \: 16 - 16$

$\rm \: = \: 0$

$\rm\implies \:p(2) \: = \: 0$

<u>So, </u>

$\bf\implies \:g(x) \: is \: factor \: of \: p(x)$

$\red{\large\underline{\sf{Solution-ii}}}$

$\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1$

and

$\rm :\longmapsto\: g(x) = x + 1$

Now, By using Factor Theorem, Consider

$\rm \longmapsto\:p( - 1)$

$\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1$

$\rm \: = \: - 2 + 1 + 2 + 1$

$\rm \: = \: 2$

$\rm\implies \:p( - 1) \: \ne \: 0$

<u>So, </u>

$\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)$

8 0

3 years ago

What's the sum of all numbers less than 10,000 that are divisible by 2, 3, and 5??

Akimi4 [234]

It has a factor of 2*3*5=30
what is the biggest number that is a multipule of 30

hmm
9000
9900
9990 is the biggest
30*333=9990
the summation of an arithetic sequence where first term is a1 and last is an and the number of terms is n
$s= \frac{n(a1+an)}{2}$

30 *2=60
that's 2 terms
30*3=90
30,60,90
3 terms

so 30*n means n terms
9990=30*333 means 333 terms

n=333
a1=30
an=9990
$s= \frac{333(30+9990)}{2}$
$s= \frac{333(10020)}{2}$
$s= \frac{3336660}{2}$
s=1668330

answer is 1,668,330

8 0

3 years ago

brad found 7 shells at the beach this was 1/3 the number of shells his sister found .how many shells did Brad's sister find

saul85 [17]

Answer:

I believe the answer is 21 shells.

Step-by-step explanation:

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3 years ago

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