The Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a, was used to solve the equation 3x2 + 4x − 2 = 0. Fill in the missing denominator of the solution. negative 2 plus or minus the square root of 10, all over blank A.−4
B.2
C.3
D.6

Answers

Answer 1

Answer:

By using a quadratic equation the missing denominator of the solution is 4 plus or minus the square root of 2, all over is (B).2

What is a Quadratic Equation?

For a Quadratic Equation $a x^(2)+b x+c=0$

By Formula Method we get

$x=\frac{-b \pm \sqrt{b^(2)-4 a c}}{2 a}$

So we have a Quadratic Equation that is $2 x^(2)-8 x+7=0$

On Comparing we get,

a = 2

b = -8

c = 7

By substituting a, b, and c values we get

$&x=\frac{-(-8) \pm \sqrt{(-8)^(2)-4(2)(7)}}{2(2)} \n$

$&x=(8 \pm √(64-56))/(4) \n$

$&x=(8 \pm √(8))/(4) \n$

$&x=(8 \pm 2 √(2))/(4) \n$

$&x=2\left((4 \pm √(2))/(4)\right) \n$

$&x=(4 \pm √(2))/(2)$

Therefore, by using a quadratic equation the missing denominator of the solution 4 plus or minus the square root of 2, all over is (B).2

Hence the correct answer is option B.2

To learn more about Formula Method refer to:

brainly.com/question/22080275

#SPJ2

Answer 2

Answer:

C. 3

Step-by-step explanation:

3x² + 4x - 2 = 0

[-4 +- sqrt(4² - 4(3)(-2))]/(2×3)

[-4 +- sqrt(40)]/6

[-4 +- 2sqrt(10)]/6

Simplifying, we get:

[-2 +- sqrt(10)]/3

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What pattern will result from plotting all points x, y that satisfy an equation in the form ax+by=c

Answers

You only need to plot two points, because the pattern is a
straight line, and any two points on it define the entire line.

-- The slope of the line is [ -a/b ] .

-- The line intersects the x-axis at [ x = c/a ] .

-- The line intersects the y-axis at [ y = c/b ] .

Answer:

-- The slope of the line is [ -a/b ] .

-- The line intersects the x-axis at [ x = c/a ] .

-- The line intersects the y-axis at [ y = c/b ] .

Step-by-step explanation:

Can someone help me on B and C

Answers

B. If you look at the graph and go over 5cm and up 3m, you can see that that point is not near the others, so it can't be accurate according to the data on your graph.C. If you go over 3.2 cm on your graph, go up to where the other points are, and you will see that the most likely height would be about 4.7m. Try to imagine a line going through your graph around where the points are, that might help you see where other points would be. I hope that makes sense let me know if you need anything else I'm always happy to help :)

If two sides of a triangle are 10 units and 13 units,a possible third side for the could be?

Answers

Pythagorean theorem:

a^2+b^2=c^2

substitute:

10^2+13^2=c^2

simplify:

100+169=c^2

simplify:

269=c^2

take the square root:

c=16.4

The answer is 16.4

Which is a solution to (x – 3)(x + 9) = -27?

Answers

Step-by-step explanation:

I have answered ur question

The total weight of 6 pieces of butter and a bag of sugar is 3.8lb. If the weight of the bag of sugar is 1.4 lbs what is the weight of each piece of butter

Answers

the total weight of 6 pieces of butter and bag of sugar is 3.8 lb

lets name a piece of butter as x

there are 6 pieces of butter - then x * 6 = 6x

if we write an equation for the total cost

6x + bag of sugar = 3.8 lb

weight of bag of sugar = 1.4 lb

6x + 1.4 lb = 3.8 lb

6x = 3.8 - 1.4

6x = 2.4 lb

x = 2.4/6

x = 0.4 lbs

therefore weight of a piece of butter is 0.4 lbs

The weight of each piece of butter is $\boxed{\bf0.4{\text{ lbs}}}$ .

Further explanation:

Given:

The total weight of 6 pieces of butter and the weight of a bag of sugar is equal to 3.8 lbs.

The weight of the bag of sugar is 1.4 lbs.

Our aim is to find the weight of each piece of butter.

Calculation:

Let the weight of each piece of butter to be $x$ lbs.

Also consider the weight of a bag of sugar to be $y$ lbs.

Then the weight of 6 pieces of butter is $\boxed{6x}$ .

Therefore, the total weight of 6 pieces of butter and one bag of sugar is calculated as.

${\text{Total weight}}=6x+y$

Given that total weight of 6 pieces of butter and one bag of sugar is equal to 3.8.

Now, the total weight in the form of an equation can be written as,

$6x+y=3.8$ ……(1)

Since, the weight of one bag of sugar is equal to 1.4 lbs., then substitute 1.4 for $y$ in equation (1) to obtain the value of $x$ as follows:

$6x+1.4=3.8$

Subtract 1.4 on both sides of above equation as follows:

$\begin{aligned}6x+1.4-1.4&=3.8-1.4\n6x&=2.4\n\end{aligned}$

Now, divide both sides of above equation by 6 to obtain the value of $x$ as follows:

$\begin{aligned}\frac{{6x}}{6}&=\frac{{2.4}}{6}\nx&=0.4\n\end{aligned}$

Therefore, the weight of each piece of butter is equal to $\boxed{\bf0.4{\text{ lbs}}}$ .

Learn more:

1. Learn more about equations brainly.com/question/788903

2. Learn more about algebraic expression brainly.com/question/5533462

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Linear equations

Keywords: Weight, pieces, butter, bag, sugar, total, lbs., equations, algebraic equations, linear, subtract, 6x+y=3.8, x=0.4.

Wallpaper was applied to one rectangular wall of a large room. The dimensions of the wall is 42 feet on one side and the other side 25.5 feet. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?PLZ HELP ASAP!!!!!!!

Answers

Answer: $0.72

Step-by-step explanation:

Given The dimensions of the rectangular wall of a large room.

Length of the rectangular wall= 42 feet

Width of the rectangular wall= 25.5 feet

Then the area of the rectangular wall = $length*\ width$

$=42*25.5=1071\ square feet$

The cost of the wallpaper = $771.12

The cost of the wallpaper per square foot= $\frac{\text{total cost of wallpaper}}{\text{area of the wall}}$

$=(771.12)/(1071)\n\n=(77112)/(107100)=(72)/(100)=\$0.72$

Hence, the cost of the wallpaper per square foot = $0.72

.72¢ per square foot.
In order to find this answer, first you need to find out how many square feet the wall is. Multiply the dimensions ( 42 x2 5.5), and that would give you the answer. (1,071). Now that we have the total square footage, you can cross multiply to find out how much 1 square foot would cost. 1,071 1
–––––– x ––––
771.12. ?
Cross multiply to get the answer .72

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