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3 years ago

URGENT!!!!!!! Need help now

Mathematics

1 answer:

bulgar [2K]3 years ago

8 0

Answer: 9 m + 7 n - 6 mn + 4 m

Step-by-step explanation:

m + 3 n + 6 mn - 4 .... for this expression , it is already in its simplified form as we can not add any term together because they are not have the same variables.

9 m + 7 n - 6 mn + 4 ..... this also is already simplified

7 m - 9 n - 6 mn + 4 ..... the same thing with this

9 m + 7 n - 6 mn + 4 m .... this particular can still be further simplified because we have 9m and 4m having the same variable and we can therefore add them together , the simplified form of the expression will be

13m + 7n - 6mn

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Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all

liubo4ka [24]

Answer:

f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).

Now we need to find about which of the given statements describes the number and nature of all roots for this function.

We know that imaginary roots always occur in conjugate pairs.

So if (4+i) is root then (4-i) must also be the root.

So now we have total 4 roots

-2, 2, (4+i) and (4-i).

Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs

So that means 5th root is real.

Hence correct choice is :

f(x) has three real roots and two imaginary roots.

4 0

3 years ago

Which Expressions are equivalent to:<br> 3(2/3p + 3 - 1/3p - 5)<br> Picture is provided

Gennadij [26K]

Answer:

the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)

3 0

3 years ago

Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5

givi [52]

<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

$A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]$ $X=\left[\begin{array}{c}x\\y\end{array}\right]$

and $B= \left[\begin{array}{c}11\\5\end{array}\right]$

∴AX=B

$adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]$

$A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6$

∴ $A^{-1} =\frac{adj A}{|A|}$

So, $A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}$

$A^{-1} ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}$

$X =A^{-1}\times B$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c} {6}\\ {11} \end{array}\right]}$

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0

2 years ago

In the numerical sentence below, A = 8, D = 1/2 , and F = 1/4. What are the values B, C, and E if the sentence below is equivale

a_sh-v [17]

B=3; C=16; and E=4096.

Using the information we have gives us

$8^B \times C^{\frac{1}{2}} = E^{\frac{1}{4}}$

We know that:
$8^B = 2;
\\
\\C^{\frac{1}{2}}=4;
\\
\\E^{\frac{1}{4}}=8$

We know that 2³ = 8, so B = 3.

To "undo" a square root, we square the number; 4²=16, so C = 16.

To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.

3 0

3 years ago

Read 2 more answers

Find the slope of the line through (4, 6) and (4, 10).<br> A.0<br> B.3<br> C.1/3<br> D. Undefined

Neko [114]

Answer:

D. Undefined

Step-by-step explanation:

4-4 = 0, 10-6 = 4

Change of x = 0

Change of y = 4

Since the change of x is 0 (a horizontal line), it is undefined.

6 0

3 years ago