5. Which is the best first step to solve 5x+12x = 40 by completing the square?

A. Subtract 40 from both sides.

B. Divide all terms by 12.

C. Divide all terms by 5

D. Divide 12 by 2

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

To make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Which is the best first step to solve 5x²+12x = 40 by completing the square?

A. Subtract 40 from both sides.B. Divide all terms by 12.C. Divide all terms by 5D. Divide 12 by 2

We have a quadratic equation:

5x²+12x = 40

To make the perfect square:

First, subtract 40 from both sides.

5x²+12x - 40 = 40 - 40

5x²+12x - 40 = 0

Thus, to make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

Learn more about quadratic equations here:

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Related Questions

What is the answer for this plz??? I will mark brainliest!!!

Answers

Answer: 59 1/2

Step-by-step explanation:

Answer:

The new elevation is -92 [tex]\frac{1}{8}[/tex] ft.

Step-by-step explanation:

-75 [tex]\frac{3}{4}[/tex] = -75[tex]\frac{6}{8}[/tex]

-75 [tex]\frac{6}{8}[/tex] + -16 [tex]\frac{3}{8}[/tex] = -91 [tex]\frac{9}{8}[/tex] = 92 [tex]\frac{1}{8}[/tex]

Can you help me with this question please by the way its not 101

Answers

Answer:

41

Step-by-step explanation:

101+38=139

180-139 = 41

C. Use the activity series of metals to predict the products of the following single-replacement
reaction. Explain your answer. (1 point)
NiCl2 + Fe →

Answers

Answer: NiCl2 + Fe

Iron is above nickel in the activity series, so iron will replace nickel like this:

NiCl2 + Fe → FeCl2 + Ni

Cu(OH)2 is insoluble, so it will form a precipitate.

Step-by-step explanation:

hope this helps =)

a circle has a diameter of 14 cm. find its circumference. use 3.14 for pi

Answers

Answer:

C= d pi  14(3.14)

Step-by-step explanation:

Cirumference = diamter x pi

14(3.14)= 43.96cm

What numbers lie between 42 square root

Answers

Answer:

√ 42  lies between  6  and  7

Step-by-step explanation:

We know that  √ 42  will lie between  √ 36  and  √ 49

And  √ 36 = 6  ;  √ 49 = 7

Hence we can be sure that  √ 42  lies between 6  and  7

Enter the slope of the line through the points (4, 15) and (4, 12). *

Answers

Answer:

-3/0 is the slope....or just -3.

Step-by-step explanation:

slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.

−2 1/6 divided by 1 1/4
100 points

Answers

Answer:

-1 11/15

Step-by-step explanation:

−2 1/6 divided by 1 1/4:

-2 1/6 ÷ 1 1/4 = - 13/6 ÷ 5/4 = - 13/6 × 4/5 = - 26/15 =-1 11/15

1) to divide that mixed number we'll need to turn it into an improper fraction:

[tex] - 2\frac{1}{6} = - ( \frac{6 \times 2 + 1}{6} ) = - \frac{13}{6} \\ 1 \frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{5}{4} [/tex]

2) now let's divide it, reciprocating 1 1/4 and multiplying both fractions one by another:

[tex] - \frac{13}{6} \times \frac{4}{5} = - \frac{52}{30} = - \frac{26}{15} [/tex]

3) Hence the answer is -26/15

If a household appliance has a wattage of 7,043 and is in use for 9 hours, how much CO2 was produced? Round to 1 decimal.

Answers

Answer: = 62.8 pounds of CO₂

Step-by-step explanation:

1 kilowatt per hour produces 0.99 pounds of C02.

The total wattage in hours used was;

= 7,043 * 9 hours

= ‭63,387‬ watts

In kilowatts;

= ‭63,387‬/1000

= 63.387 kilowatts

CO2 produced;

= 63.387 * 0.99

= ‭62.75313‬

= 62.8 pounds of CO2

which shape has sides that are straight and connected?

Answers

Answer:

The first shape

Step-by-step explanation:

should be the top left one

The following histogram shows the height of basketball players what would be the best estimate of average height ?


A. 75in
B. 82in
C. 85in
D. 80in

Answers

Answer:

D

Step-by-step explanation:

Ten thousand place is how many times the value of thousand

Answers

Answer:

thousands

Step-by-step explanation:

it is in the thousands places

The area of a rectangular field is 6831 m If the length of the field is 99 m, what is its width?​

Answers

Answer:

The width is 69m

Step-by-step explanation:

Set it up in a equation, W x 99 = 6831. So first thing to do is get the letter by its self. So you will do the opposite of multiplication. And what you do to one side you do to the other so you divide 6831 by 99. And you get W = 69

Answer:

Step-by-step explanation:

Area of rectangular field = length × width 99×w=6831

w = 6831/99

w=69m

What number does E represent

Answers

Answer:   6

Step-by-step explanation: i hope this helps Brainliest please

what is 3 1/4 as an improper fraction a imprper fraction?​

Answers

Answer:

13/4

Step-by-step explanation:

3×4=12

12+1=13

Your welcome

Answer:

13/4

Step-by-step explanation:

5y + 3y + 5 ≤ ‐2(2y + 4)

Answers

Answer:

y≤−13/12

Step-by-step explanation:

Answer:

y ≤ -13/12 or y = (-oo, -13/12]

Step-by-step explanation:

5y + 3y + 5 ≤ ‐2(2y + 4)8y + 5 ≤ - 4y - 88y + 4y ≤ -8 - 512y ≤ -13y ≤ -13/12ory = (-oo, -13/12]

Consider the following patter: -18, X, -10, -6, -2
The value of x in this pattern is

Answers

Answer:

-14

Step-by-step explanation:

(-6)-(-2)= -4

(-10)-(-6)= -4

therefore there is a 4 number Gap between them:

(-10) + (-4) = -14

Pls hurry I’m being timed

Answers

I believe the answer is “A”

Answer:

I think the answer is A

Step-by-step explanation:

makes sense

This is my official last question that i will give brainliest on plz help
free 100 pts

Answers

Answer:

Measure of Angle A is 44.

(x+59)+84+(x+51)=180 is the equation to fine X=-7

Answer:

the angle of the missing angle A = 44

Step-by-step explanation:

I didn't feel like typing out so I put in a screenshot so lemme know if you want me to explain anything :)

hope this helps :)  

Problem ID: PRABJVTY

Answers

Answer:

I'm confused too I'm sorry

Martha read 1/6of her library books on Saturday and 5/12 of her book on Sunday, how much more does Martha have left to read

Answers

Answer: She has 5/12 left of her book to read as well

Step-by-step explanation:

Martha read 1/6 books on Saturday and 5/12 books on Sunday, then the books left to read will be 5/12.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

Books read by Martha on Saturday = 1/6

Books read by Martha on Sunday = 5/12

Then, the number of books left to read is,

1 - (1/6 + 5/12)

Take LCM as 12,

[12 - (2 + 5)]/12

= (12 - 7)/12

= 5 / 12

To know more about arithmetic operations:

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Find the slope on the graph

Answers

Slope = rise/run
Slope = 3/4

A watermelon seed is 0.4cm long. How far would a line of 126 stretch?

Answers

Answer:

0.504m

Step-by-step explanation:

First, we would multiply 0.4cm by 126 watermelon seeds to find the length of the line in cm.

0.4*126

= 50.4cm

Therefore, the line of watermelon seeds stretches 50.4cm.

Now, because the question wants us to type the answer in meters, we must convert 50.4cm into meters. We do this by dividing 50.4 by 100 since 100cm makes up 1 meter.

50.4/100

= 0.504m

Therefore, the line of watermelon seeds stretches 0.504m.

I hope this helps!

A concession stand sells hamburgers. The revenue from the hamburgers is (30x + 45) dollars. The price of a hamburger is $5. Write an expression that represents the number of hamburgers sold.

Answers

Answer:

5(6x+9)

Step-by-step explanation:

(30x+45)

30=(5)6x

45=(5)9

5(6x+9)

7. Which transformation is not an isometry?

Answers

Answer: Choice B

Explanation:

Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.

Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.

A solution contains 11 pints of antifreeze and seven pints of water . How many pints Of water must be added to 77 pints Of antifreeze to get a solution with the same concentration.

Please help me with question I don’t get it.

Answers

Answer:

49 pints of water

Step-by-step explanation:

that's the answer to the question

Answer: 49 pints

Step-by-step explanation: if they had 11pints of the anti freeze. And they multiplied it by 7 to get to 77! Therefore you take the multiplier that they used which was 7 and us it to the 7 pints. So then you will be multiplying 7x7 which would be 49.

How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)

Two
None
One
Infinitely many

Answers

Answer:

The equation has only one solution which is:

[tex]x = 10[/tex]

Step-by-step explanation:

Given the equation

[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]

Let us solve the equation to determine the type of the equation

[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]

subtract the number: -1 - 3 = -4

[tex]3x+6=4x-4[/tex]

subtract 6 from both sides

[tex]3x+6-6=4x-4-6[/tex]

[tex]3x=4x-10[/tex]

subtract 4x from both sides

[tex]3x-4x=4x-10-4x[/tex]

[tex]-x=-10[/tex]

Divide both sides y -1

[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]

[tex]x=10[/tex]

Therefore, the equation has only one solution which is:

[tex]x = 10[/tex]

Answer:

C one

Step-by-step explanation:

I toolk the test

Please help fast!!!! Find the seventh term of the geometric sequence if a1=7 and r=3

Answers

Answer:

15309 Im pretty sure

Step-by-step explanation:

a7=ar^7

=7(3^7)

7 x 2187=15309

Eric wishes to triple the recipe how much of each ingredient should he use

Answers

Answer:

What are the measurements to begin with?

Step-by-step explanation:

What is the interval used in the frequency chart shown below?

Answers

A.4

took the test

╰(*°▽°*)╯(☞゚ヮ゚)☞

Answer:

the answer is a i got a hundred on that tes a year ago

Step-by-step explanation:

Last week, Leah worked 25 hours on weekdays and 11 hours on the weekend. Which ratio compares the number of hours Leah worked on the weekdays to the total number of hours she worked?

Answers

Answer:

25:36

Step-by-step explanation:

the number of hours on weekdays which is 25, and the total hours she worked is 25+11 which is 36, so it is 25:36

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