WILL GIVE BRAINLEST!!!

Write a trinomial expression in standard form that has a degree of 5

rewona [7]

$\text{We need to find a trinomial expression in standard form with degree 5.}\\
\\
\text{we know that a trinomial expression is an expression which consists}\\
\text{three terms in it.}\\
\\
\text{also given that the degree of the trinomial is 5, so the highest exponent}\\
\text{appear in the trinomial would be 5.}\\$

$\text{so if we write a trinomial expression in standard form with degree 5,}\\
\text{the first term must be of the form }x^5.\\
\\
\text{next two terms can be any smaller exponent term or any constant.}\\
\\
\text{thus one such trinomial expression with degree 5 is: }\\
\\
x^5-3x^2+2$

3 0

3 years ago

Which of the following is a rational number?

fgiga [73]

All number except 25

7 0

3 years ago

In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27520807

3 0

2 years ago

Read 2 more answers

Find the sum of the series given in sigma notation.

Kryger [21]

Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

a1 = 3(6) - 2 = 18 - 2 = 16

put k = 7 in above eq. for finding first term

a2 = 3(7) - 2 = 21 - 2 = 19

a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ... //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = $\frac{n}{2}(2a1 + (n-1)d)$

= $\frac{7}{2}(2a1 + (7-1)d)$

= $\frac{7}{2}(2(16) + (6)3)$

= $\frac{7}{2}(32 + 18)$

= $\frac{7}{2}(50)$

= 7 * 25

= 175

4 0

3 years ago

A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals

andrew11 [14]

Answer:

A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle? Here the number of animals and the number of days are in inverse proportion. Hence the food will last 4 days.

8 0

3 years ago