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3 years ago

Simplify the expression to a polynomial in standard form: (3x+5)(2x^2+x+5)

Mathematics

2 answers:

bonufazy [111]3 years ago

7 0

Answer:

Hope this helps

Step-by-step explanation:

VLD [36.1K]3 years ago

4 0

Answer:

$6x^{3} + 13x^{2} + 20x +25$

Step-by-step explanation:

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Convert 60 mi/hr to feet per second

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Step-by-step explanation:

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$60 \times 1.467 = 88.02 = 88 \: (approx)$

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3 years ago

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Delvig [45]

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3 years ago

The sum of 5 consecutive integers is 120. What is the third number in this sequence?

aliina [53]

Ok so

x - the smallest
The other 4 are : x+1, x+2, x+3, x+4
We know that sum is 120
So
x+x+1+x+2+x+3+x+4=120
Combine like terms
5x+10=120
Subtract 10 on both sides
5x=120-10
5x=110
Divide by 5 on both sides
X=22
The third number is x+2 = 22+2=24

3 0

3 years ago

at a school 111 students play at least one sport this is 30% of the students at the school how many students are at the school

mixas84 [53]

Mark as Branliest if you like the answer and want to be ansewered frequently within no time

3 0

3 years ago

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>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago