Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x?

Answers

Answer 1

Answer:    5x = 6x² - 3
5x - 5x = 6x² - 5x - 3
       0 = 6x² - 5x - 3
   x = -(-5) ± √((-5)² - 4(6)(-3))
      2(6)
   x = 5 ± √(25 + 72)
      12
   x = 5 ± √(97)
   12
x = 5 + √(97) U x = 5 - √(97)
   12 12
$the\ values\ of\ x\ is\ (5 +/- √(97))/(12).$

Answer 2

Answer:

The value of x are; x = 5 + √(97)/12 and x = 5 - √(97)/12.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given;

5x = 6x² - 3

Subtract 5x on both sides

5x - 5x = 6x² - 5x - 3

0 = 6x² - 5x - 3

x = -(-5) ± √((-5)² - 4(6)(-3)) / 2(6)

x = 5 ± √(25 + 72)/ 12

x = 5 ± √(97)/ 12

The value of x are;

x = 5 + √(97)/12

x = 5 - √(97)/12

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What is the next letter in the sequence A Z B Y C X D

Answers

The answer is w !!!!!

W ..... because it is going backwards ZYXW then forward ABCD

two nascar cars are racing around a 2 mile track. one car can complete a lap in 48 seconds, and the other car can complete one lap in 40 seconds. if they start side by side, after how much time will they be side by side again

Answers

First we need to find the speed of each car using the formula

$s=(d)/(t)$ , where s is the speed, d is the distance and t is time.

$s=(2)/(48)=0.0417 miles/s$

$s=(2)/(40) = 0.05miles/s$

Since they are moving in the same direction we subtract the speeds to obtain relative velocity, $V_r$

$V_r = 0.05-0.0417= 0.0083 miles/s$ , then

$t=(2)/(0.0083)= 240s$ . This is the time it takes for the fastest car to complete an extra lap relative to the slower car.

McDonald's sell milkshakes in two sizes a small milkshake contains 300ml and a large milkshake contains 2/3 more, how much does a large milkshake contain?

Answers

1/3 is 3/3 so 300/3 is 100 so 2/3 is 200 ml more so it holds 500 ml

Sam y have ages that are consecutive odd integers. The product of their ages is 783. Which equation could be used to find Jeremy's age, j, if he is the younger man?

Answers

sam and jeremy
consecitive odd
means they are 2 years apart
j is younger
j+2=s
product is 783
783=js
s=j+2
783=j(j+2)
783=j^2+2j
minus783 both sides
0=j^2+2j-783
factor or use quadratic formula
0=(j-27)(j+29)
set to zero

0=j-27
add 27
27=j

0=j+29
minus 29
-29=j
false, cannot be negative age

answer is jeremy is 27 years old

Which shows 522 − 482 being evaluated using the difference of perfect squares method?522 − 482 = (2704 + 2304)(2704 − 2304) = 2,003,200

522 − 482 = (52 + 48)(52 − 48) = (100)(4) = 400

522 − 482 = 2704 − 2304 = 400

522 − 482 = (52 − 48)2 = (4)2 = 16

Answers

52² − 48² = (2704 + 2304)(2704 − 2304) = 2,003,200

52² − 48² = (52 + 48)(52 − 48) = 100 * 4 = 400
a² - b² = (a +b)*(a-b)

52² − 48² = 2704 − 2304 = 400

52² − 48² = (52 − 48)² = (4)² = 16

The optionsecond 52² − 48² = (52 + 48)(52 − 48) = (100)(4) = 400 is the correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We know,

a² - b² = (a + b)(a - b)

We have:

= 52² − 48²

After using the above identity, we get:

= (52 + 48)(52 - 48)

= (100)(4)

= 400

Thus, the optionsecond 52² − 48² = (52 + 48)(52 − 48) = (100)(4) = 400 is the correct.

Learn more about the arithmetic operation here:

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Which choice is equivalent to the expression below?2^8.24

A. 2^8+2^2/10+2^4/100
B.2^8*2^2/10*2^4/100
C. 2^8*2^24/10
D.2^8+2/10+4/10

Answers

Answer:

$2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

B is correct

Step-by-step explanation:

Given: $2^(8.24)$

Using exponent law,

$x^(a+b)=x^a\cdot x^b$

Expand exponent 8.24

Position of each digit:

8 ⇒ It is at tens place (1 x 8)

2 ⇒ It is at tenth place (1/10 x 2)

4 ⇒ It is at hundredth place (1/100 x 4 )

$8.24=8+.2+.04$

$8.24=8+(2)/(10)+(4)/(100)$

$2^(8.24)=2^{8+(2)/(10)+(4)/(100)}$

Using exponent law

$2^(8.24)=2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

Hence, The equivalent expressionis $2^(8)\cdot 2^{(2)/(10)}\cdot 2^{(4)/(100)}$

B is your answer because if you check each one in the calculator B is the same as the expression and also 2^8 makes up the first part and the second half makes up the .24

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