Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.​

Answers

Answer 1

Answer:

x ≈ - 5.32, x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

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

x² + 2(2) x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Then

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )


Related Questions

Please, help me!!

My answer is
g: 43
h: 137
m: 49
K: 31

But I'm not sure.

Answers

Answer:

G is correct

H is correct

M is correct

K is 131

Step-by-step explanation:

Angles in a straight line add up to 180 degrees

Answer:

g: 43

h: 137

m: 49

K: 131

Step-by-step explanation:

i got it right

Please please help!!
(Wasn't sure what subject it fit in, so its in math I guess)

Answers

Answer:

The answer is A

Step-by-step explanation:

Hope I helped!!

This is science, and the answer should be b, I have a photo attached for reference.

guys bought 2/3 pound of turkey and 1/4 pound of ham.The tukey cost 9 dollars per pound, and the ham cost 7 dollars per pound.In all,how much did gus spend?​

Answers

Answer:

$7.75 in total

There are 376 students in 8th grade at Samuel's school. There are 47 8th graders trying out for football last Thursday. What percent of 8th graders did not try out for football?

Answers

Answer:

87.5%

Step-by-step explanation:

There are 376 students in 8th grade at Samuel's school. There are 47 8th graders trying out for football last Thursday.

The number is students not trying out for football last Thursday is calculated as:

376 students - 47 students

= 329 students

The percent of 8th graders that did not try out for football is calculated as:

329 students/376 students × 100

= 329/376 × 100

= 87.5 %

23. Describe the slopes of perpendicular lines

Answers

Answer:

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.

The slopes of perpendicular lines when multiplied together gives the product as -1.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

Suppose the two perpendicular lines have equations as follows,

y = m₁x + c₁  and y = m₂x + c₂.

Suppose m₁ = tan θ

Then, m₂ = tan (90° + θ)

Apply the trigonometric identity to obtain,

m₂ = tan (90° + θ)  = -cot θ

Now, m₁ × m₂ = tan θ × -cot θ = -1

Thus, the products of slopes is -1.

Hence, the product of slopes of two perpendicular lines is -1.

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Write a ratio in simplest form that compares the number of basketball cards to the total number of cards.

Answers

I am expecting that 52 total cards

The total cost of making a daily taco special for a restaurant is represented by the function C (t) = 2.5t + 1 , where t is the number of tacos made. How does the total cost change for every taco special the food truck makes?
A. The total cost increases by $1.
B. The total cost increases by $2.50.
C. The total cost decreases by $1.
D. The total cost decreases by $2.50.

Answers

Answer:

C. The total cost increases by $2.50

Step-by-step explanation:

This is because 1 dollar is constent--- you will always have 1 dollar.

However 2.5 is the change, you have to times a number to get the answer.

EX:

(t) = 2.5t + 1

(4) = 2.5( 4) + 1 ----- plug in 4 for t

= 10 +1

= 11

The is the multiplyer or change is the 2.5t

and when you graph it it will almost always be the slope of the line.

what is the answer to this equation : x+5=3x−1

Answers

Answer:    x = 3

Step-by-step explanation:

x+5 = 3x-1

+1           +1

x+6 = 3x

-x       -x

6 = 2x

/2     /2

3 = x

Answer:

x-3x=-1-5

-2x=-6

-2x/-2=-6/-2

x=3

The variable in the term 7m⁴ is raised to the power of​

Answers

Answer:

Raised to the power of 4

Step-by-step explanation:

Hooppee heelps

Et of y=x2-4 and + y + 2 = 0?

Answers

The equation y = x2 – 4 + y + 2 = 0 can be solved by completing the square.

What is equation?

An equation is a mathematical statement that to express our equal. Is consist of two expression separated by an equal sign and can contain numbers, variables and operators. Equation get be used to solve problems make prediction and describe relationship between different quantities. Equation can be can also be used to represent physical laws and other phenomena.

First, subtract y from both sides of the equation to get x2 - 4 + 2 = y. Then, subtract 2 from both sides of the equation to get x2 - 6 = y. Finally, add 9/4 to both sides of the equation to get (x - 3/2)2 = 9/4 + y.

This equation can be solved by taking the square root of both sides to get x - 3/2 = ±√(9/4 + y). Finally, add 3/2 to both sides of the equation to get x = 3/2 ±√(9/4 + y).

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Look at the picture....

Answers

Answer:

now what

Step-by-step explanation:

Answer:

The graph of g is a vertical stretch of the graph of f.

Step-by-step explanation:

Provide an exact evaluation of the expression:

Answers

-1/2 is the answer hope it's correct

if it is in degrees then it should be -1/2 if I’m not wrong. if it is radians the answer will be different

How much of a circle does a 100-degree angle turn through?
1
100
180
50
c
360
100
360

Answers

Your answer would we 100/360
360° turn

distribute 3(-4x-3)

Answers

Answer:

-12x-9

Step-by-step explanation:

3 times -4x is -12x

3 times -3 is -9

In an equation the answer is:

-12x-9

distribute the number outside the parenthesis to the ones inside.

3 • -4x

and

3 • -3

so -12x •-9

hope this helps

which rule describes a linear relation?​

Answers

I believe it is A.

Option A is of two variables x & y and it is a straight line graph.

2x - 5 = y

In a bouquet of flowers, there are 16 irises and 29 sunflowers. Write the ratio of sunflowers to irises in 3 different way

Answers

Answer:

29:16

29 To 16

29/16

Find the product (4x -3y)^3

Answers

Answer:

babooshka

Step-by-step explanation:

Should be =64x^3 -144x^2y+108xy^2-27y^3

Y=2x

Y=7x-20

I’ll give you brainlessly

Answers

Answer:

(4,8)

Step-by-step explanation:

y = 2x

y = 7x-20

Step 1: plug in 2x for y

Step 2: subtract 7x on both sides

Step 3: divide by -5 on both sides

Step 4: plug in 4 into y = 2x

2x = 7x -20

-7x      -7x

-5x  = -20

-5         -5

x = 4

y = 2(4)

y = 8

what is 26453 x 45=??????????????????

Answers

Step-by-step explanation:

11,90,385 is the correct answer.

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AND PLEASE MARK ME AS "BRAINLIEST" ANSWER

HOPE IT HELPS YOU

Answer: The answer to that is 1190385.

HELP ME DO THIS PLEASE IM STRESSING OUT

Answers

Answer:

36

Step-by-step explanation:

ik it bc im smart

The answer is 36!!!!

Directions:

Using the digits 1 to 6, at most one time each, fill in the
boxes so that top two equations are equal and the
bottom equation has the greatest value.
You can move the numbers around on the graph to
help.
First Attempt:
column 1
column 2

Answers

-6+3=-3
-2-1=-3
-4-(-5)=1

Help please!
Diana bought a total of 22 items including boxes of pizza and sodas for an upcoming event. Each box of pizza cost $8 and each soda cost $1.50. If Diana spent a total of $137, which of the following is a true statement?
A. Diana bought 16 boxes of pizza.
B. Diana bought more sodas than boxes of pizza.
C. Diana bought 6 boxes of pizza.
D. Diana bought an equal number of sodas and pizzas

Answers

Answer:

B. I think

Step-by-step explanation:

1.50 times 86 equals 129 witch would mean Diana bought 86 sodas

8 is equal to 1 pizza so Dianna could have bought 1 pizza

86>1

8+129 is 137 so I think the answer is B.

shirt = $14.99

pants = $27.00

sweater = $36.99

About how much $ in all?

Answers

Answer: $78.98, about $79

Step-by-step explanation:

14.99+27+26.99=78.98

Answer:

$78.98

Step-by-step explanation:

just add them all.....


Which of the follow is true about it

Answers

I think it’s the second option
Answer: [tex]\boxed{\boxed{\sf{It~should~be~to~the~left~of~9~on~a~number~line.}}}[/tex]Solution Steps:

______________________________

1.) Solve [tex]\bold{\sqrt{73}}[/tex]:[tex]\sqrt{73}[/tex] ≈ [tex]8.544003745[/tex]

So your answer is [tex]\bold{On~the~left~of~9}[/tex].

______________________________

Please help ASAP!!!!!

Answers

Answer:

54

Step-by-step explanation:

i am not 100 percent sure

Find the shaded area. 12 cm 18 cm 8cm 8cm

Answers

You start with finding area of both then subtracting area of white box.
12x18=216
8x8=64
216 - 64 = 152
So the area of the shaded area = 152 cm^2

Step-by-step explanation:

152 cm square is ur answer

in the diagram the measure of angle one is 3X the measure of angle two is 12 X what is the measure of angle 4

Answers

Answer:

144°

Step-by-step explanation:

m<1 =3x

m< 2= 12x

1&2 are supplementary angles, so

3x+12x= 180

15x=180

x= 12°

measure of angle 4 equals the measure of angle 2

because they're head opposite angles

m<4= 144°


help anyone plsssss

Answers

Answer:

a

Step-by-step explanation:

15x+45

5*3=15

5*9=45

5(3x+45)

Which fraction and decimal forms match the long division problem?​

Answers

Answer:

a

Step-by-step explanation:

probably...........

Answer:

A or D I wouldn't  know which one because there the same i'm sorry

Step-by-step explanation:

This figure consists of a rectangle and a quarter circle.(GIVING BRAINLIEST!)


What is the perimeter of this figure?


Use 3.14 for π.


Enter your answer as a decimal in the box.

(Brainliest if you answer)

Answers

Answer:

around 66.56? i might have missed a side.

Step-by-step explanation:

12.56+10+10+17+8+9

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