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Verizon [17]
3 years ago
10

Find the simplified product b-5/2b x b^2+3b/b-5

Mathematics
2 answers:
White raven [17]3 years ago
8 0

Answer:

The product \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}

Step-by-step explanation:

Given expression \frac{b-5}{2b} and \frac{b^2+3b}{b-5}

We have to find the product of  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}

   

Consider the given expression  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}

Multiply fractions, we have,

\frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}

=\frac{\left(b-5\right)\left(b^2+3b\right)}{2b\left(b-5\right)}

Cancel common factor ( b - 5 )

we have, =\frac{b^2+3b}{2b}

Apply exponent rule,

\:a^{b+c}=a^ba^c

b^2=bb

=bb+3b=b(b+3)

=\frac{b\left(b+3\right)}{2b}

Cancel common factor b , we have,

=\frac{b+3}{2}

Thus, the product  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}

Masteriza [31]3 years ago
6 0

Your answer should be A

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Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0
3 years ago
Which is f(6) for the quadratic function graphed?<br> 0 -2<br> * -0.5<br> 1.5<br> 4
rusak2 [61]

Answer:

4

Step-by-step explanation:

I'm pretty sure theres a graph to this so....

The given parabolic graph of quadratic function

To find:What is F(6) for the quadratic function

Solution:We have given graph of quadratic function

there is a different value for Y and a different value for X

For f(6)

here X=6, need to find graph of quadratic function

X=6

f(6)=4

Y=4

Your welcome :)

4 0
2 years ago
(x+3)^2=4
GalinKa [24]

Answer:

x = -1, -5

Step-by-step explanation:

{(x + 3)}^{2}  = 4 \\  =  >  {x}^{2}  + 2 \times x \times 3 +  {3}^{2}  = 4 \\  =  >  {x}^{2}  + 6x + 9 = 4 \\  =  >  {x}^{2}  + 6x = 4 - 9 \\  =  >  {x}^{2}  + 6x =  - 5 \\  =  >  {x}^{2}  + 6x  + 5 = 0 \\  =  >  {x}^{2}  + 5x + x + 5 = 0 \\  =  > x(x + 5) + 1(x + 5) = 0 \\  =  > (x + 1)(x + 5) \\  =  > x =  - 1 \:  \: or \:  \:  - 5

Hope it helps.

Don't forget to click the "Brainliest" button if you like my answer.

6 0
2 years ago
Read 2 more answers
What are the two solutions of 2x^2=-x^2-5x-1
hammer [34]

Answer:

x = 5/-6 + (√13)/-6

x = 5/-6 -(√13)/-6

Step-by-step explanation:

2x^2 = -x^2 - 5x - 1. Subtract 2x^2 from both sides.

-3x^2 - 5x - 1. Do the quadratic formula.

That gives you:

-5/6 ± (√13)/-6.

3 0
3 years ago
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kaitlin received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.69 per pound. after buying t
aksik [14]
Kaitlin bought 4 pounds of coffee.

70-39.24=30.76
30.76 ÷ 7.69= 4
8 0
2 years ago
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