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3 years ago

Choose the quadratic equation with a leading coefficient of 6 and solutions 5 and -2/3

Mathematics

1 answer:

Paha777 [63]3 years ago

5 0

Answer:

Option D

Step-by-step explanation:

Verify each quadratic equation

case A) we have

This quadratic equation has a leading coefficient of 1

Substitute the value of x=3 and x=-2 in the equation

For x=3

----> is not true

therefore

x=3 is not a solution of the quadratic equation

case B) we have

This quadratic equation has a leading coefficient of 1

Substitute the value of x=3 and x=-2 in the equation

For x=3

----> is not true

therefore

x=3 is not a solution of the quadratic equation

case C) we have

This quadratic equation has a leading coefficient of 1

Substitute the value of x=3 and x=-2 in the equation

For x=3

----> is not true

therefore

x=3 is not a solution of the quadratic equation

case D) we have

This quadratic equation has a leading coefficient of 1

Substitute the value of x=3 and x=-2 in the equation

For x=3

----> is true

therefore

x=3 is a solution of the quadratic equation

For x=-2

----> is true

therefore

x=-2 is a solution of the quadratic equation

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Solve.... 4n- 9= 2 (5+ 2n)

timama [110]

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

4n-9=2(5+2n) Equation/Question

Step 2

4n-9=2(5+2n) Remove parenthesis

4n-9=4n+10

Step 3

4n-9=4n+10 Subtract 4n to sides

-9=10

Step 4

-9=10 Add 9

0=19

Answer

No solutions

Hope this helps

3 0

3 years ago

BillieÍs monthly cell phone bill includes the cost of cell phone service, 15% tax on the cost of the cell phone service, and a $

dem82 [27]

X - <span>the cost of cell phone service before tax is added

</span> $x+15\%x+9.25=61
\\x+ 0.15x=61-9.25
\\1.15x=51.75
\\x= \frac{51.75}{1.15}
\\x= 45$ <span>
</span>

6 0

3 years ago

Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...

saw5 [17]

Answer:

$a_{n}$ = 4 $(-5)^{n-1}$

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

$a_{n}$ = 4 $(-5)^{n-1}$

3 0

3 years ago

3x-4=5<br><br> Solve the equation above

SVEN [57.7K]

Answer:

The answer is x = 3

Explanation step by step

8 0

3 years ago

Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the sa

Svetllana [295]

Equations b,c, and e accurately represent this statement.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The three equation accurately represents this statement is;

4.9 x-(-3) = 12.8

3+ 4.9 x = 12.8

12.8 = 4.9 x +3

Hence, equations b,c, and e accurately represent this statement.

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

6 0

2 years ago