Solve the following quadratic equation for all values of x in simplest form (x+4)²+38=47 ​

Answers

Answer 1

Answer:

- 1

Step-by-step explanation:

( x + 4 )² + 38 = 47

( x + 4 )² = 47 - 38

( x + 4 )² = 9

( x + 4 )² = 3²

Square root on both sides,

x + 4 = 3

x = 3 - 4

x = - 1


Related Questions

Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.


[tex]\sqrt128a^{6}b^{13}[/tex]

Answers

Answer:

[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{128a^{6}b^{13}}[/tex]

Required

Solve

[tex]\sqrt{128a^{6}b^{13}}[/tex]

The expression can be split to:

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}[/tex]

So, we have:

[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}[/tex]

Rewrite as:

[tex]\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2} * \sqrt{b}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}[/tex]

[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]

BRAINLIEST HELP ASAP!!!

Answers

2 triangles with a base of 8 and height of 6 divide the base and height in half to get the Base and height of 1 triangle and then use 1/2 B•H to find the area of one triangle 1/2 (4•3) = 6

carla has a red shirt, a pink shirt, and a white shirt. She has blue jeans, yellow jeans, and black jeans. She also has solid colored shoes and striped colored shoes. How many different combinations can she make?​

Answers

Answer:

15 different pairs.

Step-by-step explanation:

I hope this helps. :D

When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?

Answers

Answer:

C) 4

Step-by-step explanation:

1 + x/2 = 3

x/2 = 2

x = 4

The value of x is 4.

Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.

Answer: C) 4

Find 50% of 108:
Find 25% of 108:
Find 75% of 108:

Answers

Answer:

50% of 108: 54

25% of 108: 27

75% of 108:  81

Step-by-step explanation:

Hope this helps have a nice day

Answer:

50% : 54

25% : 27

75% : 81

Step-by-step explanation:

If you multiply by the decimal version of the precentages, you will get the remaining amount of how much it is. so to find 50% of 108, you do 108 * 0.50 and it will give you the 50% of 108.

PLEASE HELP! DUE SOON (also include the check if you can) *I’ll give brainiest*

Answers

Answer:

x=24

Step-by-step explanation:

0.22(x+6)=0.2x+1.8

simplify the given equation

0.22x+1.32=0.2x+1.8

shift same kind of variables on one side

0.22x-0.2x=1.8-1.32

0.02x=0.48

For x

x=0.48/0.02

x=24

Check:

For checking subsitute the calculated value x if both sides of x are equal  then its true...

0.22(24+6)=0.2(24)+1.8

5.28+1.32=4.8+1.8

6.6=6.6

which expression represents the area of the trapezoid below? Use the given formula: A= 1/2 (b1 + b2)​

Answers

Answer:

I think its 5x²-27x+10

Step-by-step explanation:

Area of trapezium:

a+b/2× h

So substitute into the formula:

4x - 1 + 6x - 3 /2 × (x - 5)

1. 4x - 1 + 6x - 3 (collect all like terms)

4x + 6x + -1 -3 = 10x - 4

2. 10x - 4 / 2

= 5x - 2

3. 5x - 2 × x - 5

Use FOIL:

5x ² - 25x - 2x + 10

= 5x ² - 27x +10

giving brainliest *easy*!!

Answers

Answer:

254.47

Step-by-step explanation:

254.469

What is the value of x?​

Answers

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.

If this doesn’t answer your question, then do you have any further information?

2) Eileen wants to borrow $40,000 to buy a new car. I She is willing to make monthly payments for 5 years. The Metro Bank offers her a loan of $40,000 for five years; the rate of interest is 6% compounded monthly. If Eileen chooses to borrow the money,
a) how much total interest will she pay?
b) how much simple interest will she pay?
c) how much compound interest will she pay?

Answers

Answer:

BLM

Step-by-step explanation:

you pick a card at random 4,5,6,7 What is p(5)

Answers

Answer:

1/4

Step-by-step explanation:

probability of picking 5 is 1/4

the number of 5 in the set is 1 and the total is 4

hence 1/4

Answer:

1/4 or 25% chance

Step-by-step explanation:

There are 4 cards in total

There is only 1 5 card.

To find the probability of getting 5:

1/4 = 25%

Please help me on this.

Answers

Answer:

D

Step-by-step explanation:

Helping a friend E e e e e

Answers

Answer:sorry that’s math not art

Step-by-step explanation: math is not art therefore I can’t help u

Which rectangle will have the largest area?

l = 6 cm, w = 5 cm
l = 6 cm, w = 7 cm
l = 4 cm, w = 10 cm
l = 9 cm, w = 4 cm
Help ASAP!!

Answers

Answer:

l = 6 cm, w = 7 cm

Step-by-step explanation:


A college lecture hall has 15 rows of seats. The first row has 18 seats the next row has 20 seats, and the third row has 22 seats.

How many seats are in the last row?

Write the rule for the number of seats in the nth row.

Answers

Answer:46, f(n)=2x+16

Step-by-step explanation:

1=0+18

2=2+18

3=4+18

4=6+18

f(n)=2x+16

f(15)=30+16=46

PLEASE HELP! CHOOSE ONE OF THE ANSWER CHOICES AND SHOW YOUR WORK. Don’t put a link as the answer.

Answers

Answer:B 4

Step-by-step explanation:

its asking which given expression is equivalent to 48 IF you do the correct math you should end up with 4 hope i helped

if you take 4 steps every 6 minutes, how long will 10 steps be?​

Answers

Answer:

15

Step-by-step explanation:

divide 6 into 4 than what ever your answer is multi... by 10

Digital Plus manufactures cameras. Last year, the company was able to produce 25,000 cameras each month.After introducing a new process for manufacturing this year, the company was able to produce 32,000 cameras each month. By what percent did production increase?​

Answers

Answer:

28%

Step-by-step explanation:

Increase of production:

32000 - 25000 = 7000

Percent increase:

7000/25000 * 100% = 28%

Total increase

32000-250007000

Percentage

7000/25000(100)0.28(100)28%

b bananas cost $1.45 and a apples cost $2.35.
(a) How much does one banana cost?
(b) How much does one apple cost?
(c) Write as a single fraction the cost of one
banana and one
apple.​

Answers

The required one banana cost, one apple cost, and a single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

There is b number of bananas and a number of apples.
The cost of total bananas and apples is $1.45 and $2.35.

(a) Cost of one banana is,
       For b bananas = $1.45
              dividing both side by b
             b/b bananas = $1.45/b
              1 banana = $1.45/b

(b) Cost of one apple is,

For a apples = $2.35
dividing both side by a
         a/a = $2.35/a
      1 apple = $2.35/a

(c) Single fraction is given by = cost of one banana/ cost of one apple
                                                =    (1.25/b) / (2.35/a)
                                                =   0.54* a/b

Thus the required one banana cost, one apple cost and single fraction $1.45/b, $1.45/b, and  0.54* a/b respectively.


Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ5

at donald's donuts the number of donut holes in a bag can vary. Help donald find the mode. 12,10,10,10,13,12,11,13,10

Answers

Answer:

Mode is 10

Step-by-step explanation:

The mode is 10, because it appears the most.

Hope this helps!

Answer:

10

Step-by-step explanation:

I just did it in i ready

The area of the shape given above is?

Answers

Answer:

18 sq meters

Step-by-step explanation:

A = 1/2(3)(9 + 3)

A = 1/2(3)(12)

A = 18

what does 7 x 3/4 equal?

Answers

Answer:

21/4

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

21/4 that's it. ..........

Solve y = x2-5 for x.
A. X = y +5
B. X=-+ y-5
C. X = y-5
D. X = -+ y+5

Answers

y = x^2 - 5

y + 5 = x^2

(Now you need to square root both sides)

√y+5 = x

x = PLUS OR MINUS √y + 5

4. Calculate the compound interest earned when $8 500 at 8% per year for:
a. 3 years
b. 8 months

Answers

i’m going to say a.3 years something is telling me it’s tht

I will give the brainlist...plz help me.

Answers

Answer:

0.8,1.4

Step-by-step explanation:

0.8 is the biggest portion of the candy

Select the interval where g is positive.
Choose 1 answer:
A
1 < x < 2
B
3 < 3 < 4
4 < x < 5

Answers

Answer: it’s a

Step-by-step explanation:

1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?

Answers

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ2

f(16) – f(0) when f (x) = 4x – 8?​

Answers

The answer 56
Hope it helps

Huiling bought 18 chicken nuggets.
She ate 6 of them.
What fraction of the chicken nuggets did she eat?
Give your answer in its simplest form.​

Answers

Answer:

2/3

Step-by-step explanation:

I think that's the answer.

13 points Please help 8th grade math

Answers

Answer:

4.2

Step-by-step explanation:

Answer:

Volume of the sphere is 2065.24

I have no idea how to calculate the slope of that.

Step-by-step explanation:

3·π·7.93≈2065.23693

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