Luca shows his work in finding the solution to 2 - 6x = 5 - 5(x - 1) . After checking his answer in the original equation, he found that it didn't work. where did he make a mistake?

Answers

Answer 1

Answer:

The value of x from the given equation is -8. Luca did mistake while multiplying 5 inside the terms of a bracket.

The given equation is 2-6x=5-5(x-1).

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

Using distributive property multiply 5 to the terms in a bracket.

That is, 2-6x=5-5x+5

⇒ 2-6x=10-5x

Add 5x to both the sides of an equation

That is, 2-6x+5x=10-5x+5x

⇒ 2-x = 10

Subtract 2 to both the sides of an equation

That is, -x=8

Multiply -1 to to both the sides of an equation

So, x=-8

The value of x from the given equation is -8. Luca did mistake while multiplying 5 inside the terms of a bracket.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ5

Answer 2

Answer: step 1 is wrong, because when you distribute 5(x-1) it will equal 5x-5

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Answers

For cylinders to be similar, the ratio between their height and radius must be equal.Our cylinder's ratio is :
$\frac { length }{ radius } =\frac { 15 }{ 3 } \n =5$

The only cylinder with same ratio is the one at the choice B.

$\frac { length }{ radius } \frac { 25 }{ 5 } =5$

brandus bought 1/3 pound of ground turkey and 3/4 pound of ground beef to make sausages. how many pounds of meat did he buy.

Answers

to add fractions together multiply each fraction by the denominator of the other
like this:
(1/3) * (4/4) + (3/4) *(3/3) =
(1*4)/(3*4) + (3*3)/(4*3) =
4/12 + 9/12 = 13/12 or 1 + 1/12

The Answer is 1 1/12 . Because 1/3 + 3/4= 4/12+ 9/12 = 13/12 = 1 1/12

What is the product (2x - 9)(3x + 5)?

Answers

Answer:

6x² - 17x - 45

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(2x - 9)(3x + 5)

= 2x(3x + 5) - 9(3x + 5) ← distribute both parenthesis

= 6x² + 10x - 27x - 45 ← collect like terms

= 6x² - 17x - 45

there are 13 animals in a barn. some are ducks and some are pigs. there are 40 legs in all. how many of each animal are there?

Answers

Let X be chickens
Let Y be pigs,
then x+y=13
the animals have 2x+4y legs,
so 2x+4y=40
The system of the equations
[X+y=13
[2x+4y=40
Divide the second equation by 2
[x+y=13
[x+2y=20
subtract the first equation from the second one
y=20-13
y-7 pigs
substitute y=7 into the first equation
x+7=13
x=13-7
x=6 chickens

What is 4 3/4 + 7/8 showing all work

Answers

$4 (3)/(4) + (7)/(8)$

Convert mixed numbers to improper fractions

$= (19)/(4) + (7)/(8)$

Find de LCD for 4 and 8 :

Factor each denominator into its primes:

$4 = 2^2$

$8 = 2^3$

Find the least common denominator $2^3 = 8$

Adjust fractions based on the LCD :

$(19*2)/(8) + (7)/(8)$

Since the denominators are equal , combine the fractions:

$(2*19+7)/(8)$

$(38+7)/(8)$

$= (45)/(8)$

Therefore:

Convert improper fractions to mixed numbers

$= 5 (5)/(8)$

hope this helps!

A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + bx = −c Subtract c from both sides of the equation x squared plus b over a times x equals negative c over a Divide both sides of the equation by a x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus the quantity b over 2 times a squared Complete the square and add the quantity b over 2 times a squared to both sides x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus b squared over 4 times a squared Square the quantity b over 2 times a on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a end quantity squared equals negative 4 times a times c over 4 times a squared plus b squared over 4 times a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation quantity x plus b over 2 times a end quantity squared equals b squared minus 4 times a times c all over 4 times a squared ? Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation

Answers

Answer:

Find a common denominator on the right side of the equation

Step-by-step explanation:

I was taking the test and couldn't find the answer to this question anywhere so let me help you out...

abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.

(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)

Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a + (b/2a)² = -c/a + (b/2a)²

Step 4: Square the quantity b/2a on the right side of the equation

x² + bx/a + (b/2a)² = -c/a + b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a + (b/2a)² = -4ac/4a² + b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a + (b/2a)² = (-4ac+ b²)/4a²

Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² = (-4ac+ b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+ b²)/4a²

(x+b/2a) = √(-4ac+ b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a = -b/2a + √(-4ac+ b²)/2a

x = -b/2a + √(-4ac+ b²)/2a

Step 10: Add the fractions together on the right-hand side

x = -b±√(-4ac+ b²)/2a

This gives the required equation

Answer: A Find a common denominator on the right side of the equation

Step-by-step explanation: Took the test of FLVS

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