Please help please please help

Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.

Umnica [9.8K]

Answer:

Answer: 4x² - 9x + 20 

Step-by-step explanation:

• General quadratic equation:

${ \rm{ {x}^{2} - (sum \: of \: roots)x + (product \: of \: roots) }}$

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

${ \boxed{ \rm{4 {x}^{2} - 9x + 20 }}}$

3 0

2 years ago

How do I solve (fraction) 2/3d=1/6?

IgorLugansk [536]

Answer:

d = 1/4

Step-by-step explanation:

Multiply the equation by the inverse of the coefficient of the variable.

$\dfrac{2}{3}d=\dfrac{1}{6}\\\\\dfrac{3}{2}\cdot\dfrac{2}{3}d=\dfrac{3}{2}\cdot\dfrac{1}{6}\\\\d=\dfrac{3\cdot 1}{2\cdot 6}=\dfrac{3}{12}=\dfrac{3\cdot 1}{3\cdot 4}\\\\d=\dfrac{1}{4}$

8 0

2 years ago

What is 8,792 as a fraction?

Wittaler [7]

We have a number $8.792$ .

To write it as a fraction first count the number of decimals and call it $n$ (which, in our case, has a value of 3). Multiply the number with $10^n$ to get $8792$ . Then divide this number by $10^n$ to get $\frac{8792}{10^n}$ from here you can either simplify (if the assignment says so, then the simplified fraction is $\frac{1099}{125}$ ) or not.

Hope this helps.

6 0

3 years ago

Be sure to show your work and solve for g: g + 6 − 3 = 31

Iteru [2.4K]

28 + 6 = 34 and 34 - 3 = 31!!!!!!!

4 0

3 years ago

The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do

xenn [34]

Volumes of 2% Solution = 5 ml

Volumes of 10% Solution = 5 ml

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<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination Method
Substitution Method
Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

$\texttt{ }$

Let:

Volumes of 2% Solution = x

Volumes of 10% Solution = y

$\texttt{ }$

Total Volume = 10 ml

$\boxed{x + y = 10}$ → Equation 1