How do you work out this problem using completing the square x2 - 4x - 80 = 0

Answers

Answer 1

Answer:

A value that satisfies this equation is called a root, zero or solution of the equation!! We have three ... Solve each by factoring. 1) x2 + 4x -5 = 0 ... Follow the explanation and sample problem to review completing the square.

Step-by-step explanation:

Answer 2

x^2 - 4x = 80

x^2 - 4x + 4 = 80 + 4 (Divide b, which is 4, by 2 and square it.)

x^2 - 4x + 4 = 84

sqrt(x + 2)^2 = sqrt(84)

x + 2 = plus or minus sqrt(84)

Subtract 2 from both sides

x = -2 plus or minus sqrt(84)


Related Questions

How do i get a equation that equals 24 using the numbers 8 3 5 and 1 with a 24 card using multiplication negative times division

Answers

Answer:

[(8-3)×5]-1=24

Step-by-step explanation:

[(8-3)×5]-1=24

[(5)×5]-1=24

[5×5]-1=24

[25]-1=24

25-1=24

24=24

Using the numbers 8, 3, 5, and 1 with multiplication, negative numbers, and division, you can form the equation (8 - 5) × 3 = 24.

How to get an Equation that equals a number?

Sure, let's find an equation that equals 24 using the numbers 8, 3, 5, and 1 with the operations of multiplication, negative numbers, and division:

Equation: (8 - 5) × 3 = 24

See calculation below:

Start with the number 8 then subtract 5 to get 3.

Multiply 3 by 3 to get 9 and then multiply 9 by -1 to get -9.

Subtract -9 from 24 to get 33.

So, the equation (8 - 5) × 3 = 24 is achieved using the numbers and operations you specified.

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Which step is included in the graph of the function f(x)=[x-1]? (the brackets are ceiling functions symbols)

Answers

Answer:

The correct step is y = - 5 for, - 4 ≤ x < - 3.

Step-by-step explanation:

From the definition of a box function y = [x], we know that

y = 0 for, 0 ≤ x < 1

y = - 1 for, - 1 ≤ x < 0

y = - 2 for, - 2 ≤ x < - 1

Here, we are given another box function y = [x - 1], and we have to choose from options the steps which is included in the graph of the this function.

So, the correct step is y = - 5 for, - 4 ≤ x < - 3. (Answer)

What percent of 140 is 50.4?
Ο 27%
Ο
Ο 36%
Ενετούς
Ο
Ο 50%
Ο 63%

Answers

Answer:

36%.

Step-by-step explanation:

That is (50.4 / 140) * 100

= 0.36 * 100

= 36 %.

2 with an exponent of -2

Answers

Answer:

0.25

Step-by-step explanation:

2^-2=0.25

Simplify the expression. 5–3 • 7^0

Answers

Answer:

5-3x7^0

(5-3)7^0

2x1

2

Step-by-step explanation:

7^0 is 1

and do you want to chat

Answer:

5-3 x 7^0

5-3 x 0

5-0

5

Step-by-step explanation:

I cannot type a dot so x is multiply. PEMDAS so take care of your exponent first 7^0=0. Now we have 5-3 x 0 so your next step is multiplication take 3 x 0= 0. Now you have 5-0, and 5-0= 5

Ten identical slips of paper each contain one number from one to ten, inclusive. The papers are put into a bag and then mixed around.

Which statements about the situation are true? Check all that apply.

P(6) = P(1)
P(5) = One-half
P(>10) = 0
P(1 < x < 10) = 100%
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
If A ⊂ S; A could be {1, 3, 5, 7, 9}

Answers

Answer: A, C, E, F

Step-by-step explanation:

Answer: A, C, E, F

Step-by-step explanation:

In the translation T of the graph below, use the figure to describe the following transformation. T -2 : (x, y)

(x - 9, y- 1)
(x - 6, y - 2)
(-2x - 6, -2y - 2)

Answers

See the explanation

Explanation:

You haven't provided any figure, so I could help you in a general way providing my own figure which is attached below. In order to illustrate transformations, let's choose the third one:

[tex]T:(x - 6, y - 2)[/tex]

For this transformation, every point on the original figure is translated 6 units to the left and 2 units down. So quadrilateral ABCD is transformed into quadrilateral EFGH as follows:

[tex]A(10,4) \\ \\ B(14,2) \\ \\ C(14,6) \\ \\ C(10,-2) \\ \\ \\ E \rightarrow (10-6,4-2) \rightarrow (4,2) \\ \\ F \rightarrow (14-6,2-2) \rightarrow (8,0) \\ \\ G \rightarrow (14-6,6-2) \rightarrow (8,4) \\ \\ H \rightarrow (10-6,-2-2) \rightarrow (4,-4)[/tex]

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Answer:

The answer is (x - 6, y - 2)

Step-by-step explanation:

For this transformation, every point on the original figure is translated 6 units to the left and 2 units down. So quadrilateral ABCD is transformed into quadrilateral EFGH as follows:

Solve each system by elimination.
3) 9x - 5y = 13
- 4x + 5y = 22​

Answers

Answer:

x=7, y=10. (7, 10).

Step-by-step explanation:

9x-5y=13

-4x+5y=22

-------------------

5x=35

x=35/5

x=7

9(7)-5y=13

63-5y=13

5y=63-13

5y=50

y=50/5

y=10

A right prism has a base that is an equilateral triangle. The height of the prism is equal to the height of the base. If the volume of the prism is 81, what are the lengths of the sides of the base?

Answers

Length of side of base is 5.45

Step-by-step explanation:

Step 1: Volume of a right prism = Area of the base × Height = 1/2 × base × height of base × height of prism

Here, since the base is an equilateral triangle and it is given that height of the prism is equal to that of the base, measures of base and height are equal.

⇒ Volume = 1/2 × b × h × h (b and h are equal)

⇒ 81 = 1/2 × b³

⇒ b³ = 162

⇒ b = ∛162 = 5.45

Select is a subset of or is not a subset of for the blank so that the resulting statement is true.

​{ 1​, 3​, 5 ​} ___​ { ​1, 2,​ ..., 10 ​}

Answers

Answer:

Step-by-step explanation:

Subset(1,3,5) because it is found in another set.

not subset(2,4,6,7,8,9,10) they are not found in the other set.

two equivalent fraction for 3/12​

Answers

9/36 and 1/4 because you and divide and multiple those

Answer:

1/4 and 6/24

Step-by-step explanation:

3 divided by 3 equals 1. So then you have to do the same for the denominator. 12 divided by 3 equals 4. And you get 1/4.

Another is 3 x 2 = 6 and 12 x 2 = 24. 6/24

Which of the following does NOT describe a control group?

Answers

Answer:

D. a group of trees not given a new growth hormone

Step-by-step explanation:

Because everything is controlled I think

what number is divisible by 2

Answers

Every even number can be divided by 2

Answer:4,6,8,10,12,14,16,18,20

Step-by-step explanation:

Basically all even numbers.

What is the name of when the line of slope is on the x axis line

Answers

Answer:

X-axis

Step-by-step explanation:

the name of when the line of slope is on the x axis line is the x axis line.

Answer: intersect.

Step-by-step explanation:

Next Tuesday, Cordelia is catering a proposal dinner for her brother. If she wants to serve her macaroni and cheese at this dinner for 2, she will use _____ cup(s) of Parmesan cheese. The recipe includes that 1/2 Cups of Parmesan cheese serves 4 people.

Answers

Answer: [tex]\frac{1}{4}\ cups[/tex]

Step-by-step explanation:

For this exercise it is important to analize the information given in the exercise.

 According to the data provided in the exercise, the recipe says that [tex]\frac{1}{2}\ cups[/tex]  of Parmesan serves four people.

 The, let be "x" the amount of cups of Parmesan cheese that Cordelia will use for her brother's proposal dinner.

In this case, since the proposal dinner is for two people, you can set up the following proportion:

[tex]\frac{4}{\frac{1}{2}}=\frac{2}{x}[/tex]

Finally, you must solve for "x" in order to find its value, as you can observe below:

[tex]8=\frac{2}{x}\\\\8x=2\\\\x=\frac{2}{8}\\\\x=\frac{1}{4}[/tex]

Therefore, knowing the value of "x", you can determine that Cordelia will use [tex]\frac{1}{4}\ cups[/tex]  of Parmesan cheese for the proposal dinner.

what did the beaver say to the tree​

Answers

Answer:

It’s been nice gnawing you

Step-by-step explanation:

Final answer:

While beavers don't 'speak' to trees in human terms, they interact with them by using their teeth to fell trees for food and building materials.

Explanation:

The question, 'what did the beaver say to the tree?', is somewhat humorous due to its anthropomorphic implication of a beaver communicating with a tree in human language. But, from a biological perspective, we could interpret this as asking about the interactions between beavers and trees. Beavers, as known dentition specialists, utilize trees for building dams and lodges and as a source of food. So, if a beaver could 'speak', it might 'tell' the tree that it's hungry, or that it needs materials for its dam. Of course, this is all figuratively speaking.

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factor this expression completely. 18x^2 - 32

Answers

Answer:

2(3x - 4)(3x + 4)

Step-by-step explanation:

Factorizing the below expression requires factoring common term.

[tex]18 {x}^{2} - 32[/tex]

Obviously 2 is common to both 18 and 32. Thus, the answer is:

[tex] = 2(9 {x}^{2} - 16)[/tex]

=2(3x - 4)(3x + 4)

Answer:

the answer above was a little confusing to me so i thought i would just give the answer straight up: 2(3x+4)(3x-4)

Step-by-step explanation:

just did the test! :)

HELP PLEASE What is the volume of this right cone?
O 384 pie cm
O 691 cm
1038 cm
2073 cm

Answers

The answer would be properly V = 1/3*pi*r²*h ..

V = 1/3*pi*12²*8 ..

V = 384*pi.

Hope it helps! ~

RealNameXHidden :0

If the weight of a package is multiplied by 2/3 the result is 40 pounds. Find the weight of the package.

Answers

all you do is divide 40 by 2/3 to get the answer :D

Answer: Weight is 60

Explanation:

So lets look at what we are given:

w (weight) * 2/3 = 40 pounds

(short explanation is you times 40 by 3/2)

We want to solve for weight there are a few ways to do this but the easiest one is to times both sides of the equation by the reciprocal of 2/3. Which is 3/2. That will cancel our the 2/3 and leave only "w" on the left side.

w = 40 * 3/2

What is 19 3/5 -18 4/5=

Answers

Answer:

1 -1/5 is the answer #markasbrainliest

The correct answer is 4/5

There are 25 bananas that will be cut and divided evenly between 4 loaves of bread. How many bananas go into each loaf? Choose the correct answer from the choices below.

6 3⁄4 bananas per loaf

6 1⁄4 bananas per loaf

5 3⁄4 bananas per loaf

5 1⁄4 bananas per loaf

5 1⁄2 bananas per loaf

Answers

Answer: 6 1/4

Step-by-step explanation: 25 divided by 4 = 6 1/4

What is the total weight of Trail Mix used in all bags

Answers

Final answer:

To find the total weight of trail mix used in all bags, more information is needed.

Explanation:

To find the total weight of trail mix used in all bags, we need more information. The information provided in the question does not mention the weight of trail mix or the number of bags. Without this information, we cannot calculate the total weight.

At the mall you spent a total of $170.86 if you bought two pairs of jeans for $39.95 each a jacket for $45.99 and shirts for

Answers

A total of $170.86 will be spent if you buy shirts for $44.11

Step-by-step explanation:

Step 1:

Let the cost of shirts be $x.

Given that, one pair of jeans costs $39.95, 2 pairs cost 2 * $ 39.95 which is $79.9. Jacket costs $45.99.

Step 2:

Create an equation with this given data.

$170.86 = $x + $79.9 + $45.99

Step 3:

Calculate the value of x from this equation to get the cost of shirts.

$170.86 = $x + $125.89

$x = $170.86 - $125.89

$x = $44.11

Solve for t. 2:3 = 27:t
18
18.5
40.5

Answers

Answer:

2t = 81

t = 40.5 is the answer

answer is c

What is the square root of 59,13,2,and 7/2 rounded to the nearest tenth.

Answers

Answer:check the pic

Step-by-step explanation:

On a random Monday in the spring, 95% of students are present at school. If there are 589 students present, then how many total students are enrolled? ​

Answers

Answer:

620

Step-by-step explanation:

who ever answers right will get Brainlyeist!!!!! PLEASE HELP ME OUT!!!

3. Find the area of the triangle.

A. 21.2 in
B. 10.5 in
C. 21 in
D. 42 in​

Answers

Answer:

  C.  21 in² . . . . your answer selection is correct.

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

where b represents the base of the triangle, and h represents the height of the opposite vertex above that base.

The figure shows you that half the base is 3 in and the height is 7 in, so the area is ...

  A = (1/2b)h = (3 in)(7 in) = 21 in² . . . . matches choice C

The equations in this sytem were added to solve for x. What is the value of x?

Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3

Answers

Question:

The equations in this system were added to solve for x. What is the value of x? -2x+y=8 5x-y=-5 3x=3

Options:

x = negative 3

x = negative 1

x = 1

x = 3

Answer:

The value of x is 1

Solution:

Given system of equations are:

-2x + y = 8 ------- eqn 1

5x - y = -5 ------- eqn 2

The above equations are added to solve for "x"

Add eqn 1 and eqn 2

-2x + y + 5x - y = 8 - 5

Combine the like terms

-2x + 5x + y - y = 3

Add the like terms

3x + 0 = 3

3x = 3

Divide both sides of equation by 3

x = 1

Thus the value of x is 1

Answer:

x=1

Step-by-step explanation:

Of the 15 year olds at karate school 8 have black belts in 20 had Brown belts among 16 year olds 10 have black belts in 17 have Brown belts. which age group has a higher ratio of black belts to Brown belts

Answers

Answer:

16 year olds had the higher ratio of black belts to brown belts.

Step-by-step explanation:

15 year olds: 8/28 students had black belts

8/28 = 28.6% had black belts

16 year olds: 10/27 students had bald belts

10/27 = 37.0% had black belts

A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function P(t) = 7bt, where t is the time in weeks after the release and b is a positive unknown base. According to the model, how many fish of the new species were released initially? A) 2 B) 7 C) 12 D) 14

Answers

The initial amount of fish released would be the number shown in the equation.

The answer is 7

Final answer:

The initial number of fish released into the lake is 7, which is calculated by substituting t = 0 into the provided exponential growth function, P(t) = 7bt.

Explanation:

The growth of the fish population in the lake is modeled by the exponential function P(t) = 7bt, where t is the time in weeks after the release, and b is a positive unknown base. To find out how many fish were released initially, we need to consider the population at time t = 0. When we substitute t = 0 into the exponential function, we get P(0) = 7b0, and since any number raised to the power of 0 is 1, P(0) = 7. Therefore, the initial number of fish released was 7.

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