solve the equation
x^2 + 4x - 7
By completing the square
give answer correct to two decimal places.
( p.s the answer is not -5.32 or 1.32 )

Answers

Answer 1

Answer:

x = 1.32, -5.32

Step-by-step explanation:

x^2 + 4x - 7

Set equal to zero

x^2 + 4x - 7 =0

Add 7 to each side

x^2 + 4x =7

Take the coefficient of x and divide by 2

4/2

Square it

2^2 =4

Add to each side

x^2+4x+4 = 7+4

(x+2)^2 = 11

Take the square root of each side

x+2 = ±sqrt(11)

Subtract 2 from each side

x = -2 ±sqrt(11)

x=1.31662

x=-5.31662

To 2 decimal places

x = 1.32, -5.32


Related Questions

which of the following descriptions represents the transformation shown in the image?​

Answers

Answer:

C. left two units, up three, reflection on the x = -1

We are given with height= 9 ft. Length=10 ft. Wall Brackets: 48-inch cost $12.95 68-inch cost $16.95 Distance from brackets from ends= 1 foot maximum . What is the total cost of the brackets, before tax?

Answers

Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3 

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7

what are the values a b and c in the quadratic equation 0 equals 5x - 4x^2- 2​

Answers

Answer:

A: -4

B: 5

C: -2

Step-by-step explanation:

The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.

-4x²+5x-2

Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.

A: -4

B: 5

C: -2

Solve each equation for x 3х- 12у= 27

Answers

Answer: x=4y+9

Explanation

Step 1: Add 12y to both sides

3x-12y+12y=27+12y

3x=12y+27

Step 2: Divide both sides by 3

3x/3=12y+27/3

x=4y+9

Please answer no rush first CORRECT answer gets Brainiest.

Answers

the answer would be 2
because -8(17-12) would equal to -40 and -2(8-(-2)) would -20
and -20 over -40 equals to 2 since negative / negative would equal a positive number

The answer is 2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Which fraction is less than the fraction represented by the model?

Answers

Answer:

fraction represented by model = 5/8

fraction less than model = 2/4

The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.

What is a Fraction?

A fraction is a number that is the part of the whole.

It is represented in the form of p/q, where q is not equal to zero.

The figure has a circle in which sections have been divided.

There are some shaded sections and some non-shaded sections.

The number of shaded section is 5.

The number of non-shaded section is 3.

The total sections are 8.

The fraction that is represented by the model is 5/8.

The model shown is a visual way to represent and understand fractions.

The fraction = 0.625

The fraction in the options are,

3/4 = 0.75

11/16 = 0.6875

13/16 = 0.8125

2/4 = 0.5

0.5 < 0.625

2/4 < 5/8

To know more about Fraction

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Find the slope of the line that passes through (2, 12) and (5, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The right answer is -2/3

please see the attached picture for full solution

Hope it helps

Answer:

[tex]slope = - \frac{2}{3} [/tex]

Step-by-step explanation:

[tex](2 \: \: \: ,\: \: \: 12) = > (x1 \: \: \: , \: \: x2) \\ (5 \: \: \: ,\: \: \: 10) = > (y1 \: \: \: , \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 10}{2 - 5} \\ = \frac{2}{ - 3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

rearrange to make x the subject a= 4x/t -p

Answers

Answer:

x = [tex]\frac{t(a+p)}{4}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{4x}{t}[/tex] - p ( isolate term in x by adding p to both sides )

a + p = [tex]\frac{4x}{t}[/tex] ( multiply both sides by t )

t(a + p) = 4x ( divide both sides by 4 )

[tex]\frac{t(a+p)}{4}[/tex] = x

Hi...Could u plz help me...

Answers

Answer:

B and D I dont have time to explain

I am sorry.

Thanks for question

A card is drawn from a well shuffled pack of 52 cards. Find and match the probability of:

A 2 of Spades 1/13

A Jack 1/26

A red King 1/4

A Diamond suit 1/52

Answers

2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.

A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.

A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.

A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.

What is the length of AC? And Length of AB?

Answers

Answer:

The length of AC is 5 units. The length of AB is 3 units.

Step-by-step explanation:

what the answar for 9+4t=7t+15

Answers

Answer:

t= -2

Step-by-step explanation:

9+4t=7t+15

Subtract 4t from both sides

9=3t+15

Subtract 15 from both sides

-6=3t

3t= -6

Divide both sides by 3

t= -2

What is the nth term rule of the quadratic sequence below?
6, 20, 40, 66, 98, 136,...

Answers

3n^2 + 5n - 2



~Hope this helps.

Someone please help me :( I’m struggling

Answers

Answer:

ax - by = k

Step-by-step explanation:

A literal equation is an equation made up of variables representing numbers that can be changed

ax - by = k is a literal equation because there are no numbers

Letters stand for each item

19. Seja 17x 51y+ 102. Qual é o valor de 9x 27y ? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado

Answers

Pergunta correta:

Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado

Resposta: A) 54

Explicação passo a passo:

17x + 51y = 102 - - - - equação 1

Divulgue até 17

x + 3y = 6 - - - - - - - Equação 2

9x + 27y - - - - - - - equação 3

Comparando as equações 2 e 3

(Equação 3) = 9 × (equação 2)

Isso é, 9x + 27y = 9 × (x + 3y = 6)

9x + 27y = 9x + 27y = 54

Portanto ; 9x + 27y = 54

What is (4h^2b)^2 written in its simplest form?

Answers

Answer:

16h⁴b²

Step-by-step explanation:

(4h²b)²= 4²(h²)²b²= 16h⁴b²

the two polygons shown are similar what is the correct similarity statement​

Answers

Answer:

The middle choice

Step-by-step explanation:

The first figure starts on the upper right corner and goes around from A to B to C to D.

So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.

Answer:

Determine whether each pair of polygons is similar

Step-by-step explanation:

Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)

Write p(x) = 21 + 24x + 6x2 in vertex form.

Answers

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Start with equation reworded

6x^2+24x+21

Factor

6(x^2+4x+7/2)

Complete the square

6(X^2 + 4x + 2^2 - 2^2 + 7/2)

Use binomial formula

6((x+2)^2 - 2^2 + 7/2)

Simplify

6((x+2)^2 - 1/2)

Expand

6(X+2)^2 - 3

Answer:

p(x)= 6(x+2)^2 -3

Step-by-step explanation:

Consider the diagram. Lines a and d are?

Answers

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle

To what unit rate does 96/12 simplify?


A.8/1

B.9/1

C.10/1

D.12/1​

Answers

Answer:

A. 8/1

Step-by-step explanation:

96/12=8

12/12=1

Therefore, the answer is 8/1. Have a good day!

8/1 is the unit rate of the fraction 96/12, option A is correct.

The given fraction is ninety six by twelve

96/12

Let us find the unit rate of 96/12

we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 12.

96 divided by 12 is 8

and 12 divided by 12 is 1.

So 96/12 is equal to 8/1

Therefore, the simplified form of 96/12 is 8/1.

To learn more on Fractions click:

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What is Three-fourths divided by one-sixth?

Answers

Answer:

9/2 or 4.5

Step-by-step explanation:

3/4 divided by 1/6 changes into multiplication and you switch one of the denominators

it becomes 3/4 times 6/1 which is 18/4 when simplified, it's 9/2

Answer:

9/2

Step-by-step explanation:

Which equation represents a proportional relationship?

y = 5x + 2
y = 100 x
y = 16x2
y = 6x

Answers

Answer:

5x+2

Step-by-step explanation:

I think it is 5x+2

Which is equivalent to “4 pencils for every 2 students”?

Answers

Answer:

8 pencils for every 4 students or 2 pencils for every students

Step-by-step explanation:

Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!!!!

Answers

Answer:

(up) by 6

left by 7

Step-by-step explanation:

Given f(x) = 3/4x + 12, find the value of x when f(x) = x.

Answers

Answer:

48 =x

Step-by-step explanation:

3/4x + 12 = x

Subtract 3/4 x from each side

3/4x + 12-3/4x = x-3/4x

12 = 1/4x

Multiply each side by 4

12*4 =1/4x *4

48 =x

Answer:

x=48

Step-by-step explanation:

f(x) is basically just another way to write y.

If f(x)=x, then y=x.

x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)

1/4x=12 (Subtract 3/4 from both sides of the linear equation)

x=48 (Multiply both sides by 4)

Help me plsssss. Exterior angles definitions

Answers

Step-by-step explanation:

an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°

A SCHOOL HAS 320 GIRLS AND 250 BOYS

THE PROBABILITY THAT A GIRL IS LEFT-HANDED IS 0.2
THE PROBABILITY THAT A BOY IS LEFT-HANDED IS 0.1

ESTIMATE THE NUMBER OF LEFT-HANDED STUDENTS IN THE SCHOOL

Answers

Answer:

89

Step-by-step explanation:

I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them  together. I hope it helps and I'm not sure what method you would use for this but that's mine.

2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total volume of the cubes?

Answers

Answer:

15552 in^3

Step-by-step explanation:

Volume formula for a cube of side length s:  V = s^3.

Then the total volume here is:

(24 in)^3 + (12 in)^3 = 15552 in^3

the function f is defined by f(x) = 3x-7/8.
(1) Evaluate f(-2) and f(2 5/6).
(2) final the value of x for which f(x)=5

Answers

Answer:

-55/8, 61/8, x=47/24

Step-by-step explanation:

not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one

but basically just sub in the value into the eqn given

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is
.

The values of p must be
.

Answers

This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:

Rocco's current weight = initial weight - (half pound per week * # weeks)

p = 55 - 0.5*w

Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)

Answer:

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is p=55-0.5w

The values of p must be any real number 45 to 55

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