How many times dose 87 go into 392?

What is the factorization of 3x2 – 8x + 5?

ELEN [110]

we have

$3x^{2} -8x+5$

Equate the expression to zero to find the roots

$3x^{2} -8x+5=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2} -8x=-5$

Factor the leading coefficient

$3(x^{2} -(8x/3))=-5$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$3(x^{2} -(8x/3)+(16/9))=-5+(16/3)$

$3(x^{2} -(8x/3)+(16/9))=(1/3)$

Rewrite as perfect squares

$3(x-(4x/3))^{2}=(1/3)$

$(x-(4x/3))^{2}=(1/9)$

square roots both sides

$(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}$

$x=\frac{4}{3}(+/-) \frac{1}{3}$

the roots are

$x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}$

$x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1$

so

$3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)$

therefore

<u>the answer is the option</u>

$(3x-5)(x-1)$

6 0

2 years ago

Read 2 more answers

The vertices of a rectangle are given in the columns of the matrix (picture 1).

Alex17521 [72]

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

∵ The vertices of the rectangles are:

(0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 × $\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$ × R

∴ That is mean The rectangle rotate 270° around the origin

(270° anti-clockwise or 90° clockwise)

and enlargement by scale factor 3

8 0

2 years ago

2..52 X 10 to the fifth????<br><br>PLS HELPP!

love history [14]

Answer:

252000

Step-by-step explanation:

we take 2.52 and move the decimal back 5 places. when we run out of numbers we add zeros. so if we moved 3 places back it would be 2520 but since we move 5 it is 252000. 10 by any power you just move the decimal place if it is negtive move it forward if positive move backward.

7 0

2 years ago

How many 1/3 lb bags of trail mix can josh make from 5/6 lb of trail mix?

PSYCHO15rus [73]

the large bag is 5/6 lb, the smaller bags will be 1/3 lb, so it should be 5/6 ÷ 1/3

$\bf \cfrac{5}{6}\div \cfrac{1}{3}\implies \cfrac{5}{\underset{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies \cfrac{5}{2}\implies 2\frac{1}{2}$

5 0

3 years ago

Read 2 more answers

A registration fee for a used car is 0.8% of the sale price of $5,700. How much is the fee

natima [27]

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{0.8\% of 5700}}{\left( \cfrac{0.8}{100} \right)5700}\implies 45.6$

5 0

2 years ago