$\bf 4x^2=7x+2\implies 4x^2-7x-2=0\implies (4x+1)(x-2)=0 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 4x\cdot x=\boxed{4x^2}~\hfill (1)(-2)=\boxed{-2}\hfill (4x\cdot -2)+(1\cdot x)=\boxed{-7x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 4x+1=0\implies 4x=-1\implies &x=-\cfrac{1}{4}\\[1em] x-2=0\implies &x=2 \end{cases}$

7 0

3 years ago

Half of Hillary’s friend, Jamiz’s fourth grade class is female. Including Jamiz, there are 14 girls in the class. How many stude

Yuri [45]

Including Jamiz, there are 14 girls in the class. If this if half of the total number of pupils (as half are girls, the other half being boys) the total number of students is 14 × 2 = 28 students

3 0

3 years ago

3 1/2 · 2 2/3 = ? Plz Help 15 pts

Veronika [31]

It equals 9.33

because 3 1/2 is 3.5 and 2 2/6 is 2.66 we multiply and get our answer

6 0

3 years ago

The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75per stop

mamaluj [8]

The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.

The inequality that represents this scenario is:

$5 + 2.75x \le 21$

From the complete question, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is as follows:

Initial Fee + Rate * Number of stops <= Amount

We use <= because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

$5 + 2.75 * x \le 21$

$5 + 2.75x \le 21$