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2 years ago

2(x+11)=3x=42simplify

Mathematics

1 answer:

Vaselesa [24]2 years ago

8 0

Answer:

2x+22=42

Step-by-step explanation:

2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10

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Find the values of P for which the quadratic equation 4x²+px+3=0?

klasskru [66]

<h3><u>Correct Questions :- </u></h3>

Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .

<h3><u>Solution</u>:- </h3>

Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

For equal roots

D = 0

$\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}}$

So,

$\sf{ β² - 4αc = 0}$

Here,

α = 4
β = p
c = 3

Now,

$\begin{gathered}\implies\quad \sf p²- 4 \times 4 \times 3 =0 \end{gathered}$

$\begin{gathered}\implies\quad \sf p²- 48 =0 \end{gathered}$

$\begin{gathered}\implies\quad \sf p²=48\end{gathered}$

$\begin{gathered}\implies\quad \sf p=±\sqrt{48}\end{gathered}$

$\begin{gathered}\implies\quad \sf p=±\sqrt{2 \times 2 \times 2 \times 2 \times 3} \end{gathered}$

$\begin{gathered}\implies\quad \sf p=± 2\times 2\sqrt{ 3 }\end{gathered}$

$\begin{gathered}\implies\quad \boxed{\sf{p=±4\sqrt{ 3 }}}\end{gathered}$

Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-

4√3 and -4√3.

7 0

2 years ago

The area of a rectangular piece of paper is 32 square inches. The perimeter is 24 inches.

rodikova [14]

Answer

4 and 8

Explanation

List all factors of 32 and then find which number equals 24 when added

You could waste time and use alegbra lol

5 0

2 years ago

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the

tia_tia [17]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: $k=\frac{y}{x}$

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

5 0

2 years ago

What is 6x +7=8x -15 solved.

skelet666 [1.2K]

Answer:

Step-by-step explanation:

6x+7=8x-15

7=2x+15

22=2x

11=x

6 0

3 years ago

Read 2 more answers

List the integers that satisfy both these inequalities, 2x+9 -12

Flura [38]

Answer:

x < -10.5

Step-by-step explanation:

list the integers that satisfy both these inequalities, 2x+9 <-12

Subtract 9 from both sides;

2x +9 - 9 < -12-9

2x < -21

x < -21/2

x < -10.5

<em>Hence all the integers are values of x less than 10.5</em>

4 0

2 years ago

2(x+11)=3x=42simplify ​

2(x+11)=3x=42simplify