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2 years ago

If p(x)=x^2+x+1 and q(x)=3x^2-1, find p(7)

Mathematics

1 answer:

Delvig [45]2 years ago

7 0

Answer:

p(7) = 57

Step-by-step explanation:

Because this is a function, all you have to do is input 7 for x like so:

p(x)=x^2+x+1 ---------------> p(7)=7^2+7+1

so 49 + 8

= 57

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Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer

Otrada [13]

Let $2n+1$ be the smaller integer. The larger integer is then $2n+3$ , and we have

$(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13$

$\implies4n^2+2n-12=0$

$\implies2n^2+n-6=0$

$\implies(2n-3)(n+2)=0$

$\implies 2n-3=0\text{ or }n+2=0$

$\implies n=\dfrac32\text{ or }n=-2$

We omit $n=-2$ , since $2(-2)+1=-3$ is negative.

Then for $n=\dfrac32$ we find $2\left(\dfrac32\right)+1=4$ , but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

3 0

3 years ago

I need some quizzes on volume for 5th graded math

Katyanochek1 [597]

Volume is length x width x height aka (L•W•H)

6 0

3 years ago

Find the fifth term in the sequence that is defined as follows:

hram777 [196]

Answer : The fifth term in the sequence is -2.

Step-by-step explanation :

As we are given that the expression to calculate the $n^{th}$ term.

The expression is as follows:

$a_n=2(-1)^n$

where,

n is the number of term

Given:

n = 5

Now putting the value of n in the above expression, we get:

$a_n=2(-1)^n$

$a_5=2(-1)^5$

$a_5=2\times (-1)$

$a_5=-2$

Therefore, the fifth term in the sequence is -2.

5 0

3 years ago

6th grade math ! help me please :)

malfutka [58]

1. N + 2; n = 6: the answer is 8 because n=6 so we sub n with that... and we get 6+2 and that’s 8.

2.5f; where f=4: the answer is 20 because when a variable is directly next to a number it is multiplied by that number so we will replace f with 4 and our equation is now 5(4) or 5•4 and both are equivalent to 20.

3. 7b-2; where b=5: the answer is 33 because 7 multiplied by 5(b) minus 2= 7(5)-2 or 7•5-2= 33 because you will multiply 7 by 5 and get 33 then you will subtract by 2 and get 33.

Hope this helps!!!

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3 years ago

Hi what is the answer to my question

Mashcka [7]

Answer:

594

Step-by-step explanation:

You multiply 18 by 3 by 11 :)

8 0

3 years ago

Read 2 more answers