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3 years ago

Which of the following is a solution to the equation 0=x2+6x+4 ?

Mathematics

1 answer:

Llana [10]3 years ago

4 0

Answer:

Step-by-step explanation:

Given

x² + 6x + 4 = 0 ( subtract 4 from both sides )

x² + 6x = - 4

Solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 4 + 9, that is

(x + 3)² = 5 ( take the square root of both sides )

x + 3 = ± $\sqrt{5}$ ( subtract 3 from both sides )

x = - 3 ± $\sqrt{5}$ , thus

x = - 3 - $\sqrt{5}$ → A

x = - 3 + $\sqrt{5}$

You might be interested in

What is the range of 4,5,10,10,16

Verdich [7]

Range is the biggest number minus the smallest from the list.

R = 16 - 4

R = 12

The range is 12.

4 0

3 years ago

X+9=2x-3<br> FIND THE X!!!!!!

Ierofanga [76]

Answer:

x = 12

Step-by-step explanation:

<u>To find "x"</u>, we need to <u>isolate it</u>. This means move "x" to the left side, and everything else to the right side.

When moving a number, do its <u>reverse operation</u> to the entire equation.

x + 9 = 2x - 3

x - 2x + 9 = 2x - 2x - 3 Subtract 2x from both sides

-x + 9 = -3

-x + 9 - 9 = -3 - 9 Subtract 9 from both sides

-x = -12

-x/-1 = -12/-1 Divide both sides by -1 to get rid of the negatives

x = 12 Final answer

Check your answer. Split the equation for the left and right sides. Substitute "x" for the answer "12".

LS: (left side)

x + 9

= 12 + 9 Add

= 21

RS: (right side)

2x - 3

= 2(12) - 3 Multiply before subtracting

= 24 - 3 Subtract

= 21

Both sides equal to 21 when "x" is 12.

LS = RS left side equals right side

Therefore the answer is correct.

3 0

4 years ago

Complete the frequency table:

julia-pushkina [17]

The percentage of students age 15 and above travel to school by bus is 47%

<h3>How to complete the table?</h3>

The table of values is given as:

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 18 165

Age 15 and above 65 195

Column totals 152 110 98 360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

Method of Travel to School

Walk/Bike Bus Car Row totals

Under age 15 87 18 60 165

Age 15 and above 65 92 38 195

Column totals 152 110 98 360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

brainly.com/question/12576014

#SPJ1

8 0

2 years ago

Haley had 7 pens. All of the pens are either blue or black, And there are 3 more blue pens than black pens. How many black pens

MaRussiya [10]

Hello! Haley has 7 pens, with 3 more of them being blue than black. If you do some mental math, you know that 5 is 3 more than 2 and 2 + 5 is 7. So Haley has 5 blue pens and 2 black pens.

8 0

4 years ago

For a particular pickup truck the percent markup is known to be 115% based on cost to the seller. If the seller paid $15,800 for

nexus9112 [7]

Answer:

115%(15,800)= $18,170. <--- markup price

$15,800+$18,170= $33,970 total price

That is 115% x $15,800 = $18,170 markup price

Then add the original price to the markup price

That is $15,800 + $18,170 = $33,970

8 0

4 years ago