Which technique is most appropriate to solve this equation?

x2 + 6= 31
Question 2 options:

quadratic formula


zero product property


square root property

Answers

Answer 1

Answer:

Square root property

Step-by-step explanation:

The given equation is :

[tex]x^2+6=31[/tex]

We need to write the most appropriated technique to solve the above equation.

Subtracting both sides of the above equation by 6 such that,

[tex]x^2+6-6=31-6\\\\x^2=25[/tex]

Now taking square root on both sides we get :

[tex]x=\sqrt{25}[/tex]

The square root property is used here, such that the value of x is :

[tex]x=\pm 5[/tex]


Related Questions

Can I get an example of systems of equations that represent the solution of this situation below? Thank you! ^ ^

"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito) ​

Answers

Answer:

1x+ 1y =11

10x + 5y = 80

x = the cost of a taco = $5

y = the cost of a burrito = $6

Step-by-step explanation:

x = the cost of a taco

y = the cost of a burrito

1x+ 1y =11

10x + 5y = 80

rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:

10x + 5( 11-x) = 80 distribute left side

10x + 55 - 5x = 80 combine like terms

10x - 5x = 5x

5x + 55 = 80 subtract 55 from both sides

5x = 80 - 55

5x = 25 divide by 5

x = 5

plug in for y in 1st equation y = 11--x =11-5 = 6

If Marc ran 10 miles in 3 hours, how far can he run in 6 hours?

Answers

Answer: 20 miles

Step-by-step explanation: if he runs 10 miles in 3 hours then double the amount of 10 which is 20 because 3 multiplied by 2 equals 6

I need some help with this question, I got a different answer.

Answers

Answer:

The median is the middle number.

Step-by-step explanation:

You have to order the numbers from least to greatest, or greatest to least, and choose the number in the middle. Since there is an even number of values, you have to take the mean of the two middle numbers. I hope this helps.

The polynomial f(x) is written in factored form:
f(x) = (x - 3)(x + 8)(x - 11)
What are the zeros of the polynomial function?
O x = 3, x = 8, x = 11
O x = 3, x = -8, x = 11
OX=-3, x = 8, X = -11
x = -3, x = 3, x = -8, x = 8, x= -11, x = 11

Answers

Answer:

F(x)=(x-3)(x+8)(x-11)=0

(x-3)=0, (x+8)=0, (x-11)=0

X=3

X=-8

X=11

Which function represents f(x)=3^x ?

Answers

Answer:

The answer would be function 2.

Step-by-step explanation:

I found this out by plugging in 0 into x. What I got then was one. So I found that function 2 has a spot on 0, 1. that is how I got the answer.

Brainliest would be appreciated.

Answer:

it is function 2

i plugged it in on desmos graph

Suma inverselor a două numere raționale este , iar diferența inverselor numerelor este . Calculați suma și produsul numerelor.

Answers

Answer:

The sum of the inverses of two rational numbers is 5 by 6, and the difference of the inverses of the numbers is 1 by 6. Calculate the sum and product of numbers.

Sum = a + b = 5

Product = a ₓ b = 6

Step-by-step explanation:

[tex]\frac{1}{a} +\frac{1}{b} =\frac{5}{6}[/tex]

[tex]\frac{1}{a} -\frac{1}{b} =\frac{1}{6}[/tex]

Add both equations together

[tex]\frac{1}{a} +\frac{1}{a} +\frac{1}{b} -\frac{a}{b} =\frac{5}{6} +\frac{1}{6}[/tex]

2 / a = 6/6

2 / a = 1

a = 2

we replace in any relation a

1 / 2 + 1 / b = 5 / 6

3b + 6 = 5b

5b - 3b = 6

2b = 6

b = 3

Sum = a + b = 2 + 3 = 5

Product = a ₓ b = 2 ₓ 3 = 6

What is the area of the triangle?

Answers

Answer: 24

Step-by-step explanation:

Area = 1/2 x base x height

Answer:

24cm²

Step-by-step explanation:

So you do 8×4=48 (a square) then half it (triangle) which becomes 24cm²

Well, a simple way to do it is to do base × height then half it

Which expression is equivalent to the following complex fraction?

Answers

Answer:

Step-by-step explanaAnswer:

\frac{-2y+5x}{3x-2y}

Step-by-step explanation:

Given:

\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}

To simplify this expression, first make the addition and the subtraction, to get:

\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=

Next, simplify the two denominators, to get:

\frac{-2y+5x}{3x-2y}tion:

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you ..

math question below

Answers

Answer: The package reaches the ground in

4.67 s

and hits the ground with a speed of

33.8 m/s

Answer:

3m/s or option 1

Step-by-step explanation:

Given,

Height(h)=90m

time(t)=30s

Speed(v)=?

Now,

Speed(v)=distance/time

v=height/time(Since,height here is the distance covered by the balloon)

v=90/30

v=3

Unit of speed is m/s

Therefore,v=3m/s

By the way,this is a question related to physics

probability
1/4
3/4
1/2
5/8??​

Answers

Answer:

1/2

Step-by-step explanation:

There are exactly 6 shaded regions; for every shaded region, there is also an unshaded region -- making this value 6 as well.

There are 12 possible outcomes, and 6 events

To determine probability, we divide the number of events by the number of possible outcomes, like this:

[tex]6/12=1/2\\1/2=.50\\[/tex]

.50 = 50% or 1/2 chance.

#SpreadTheLove

Can someone help me with my maths I’ll give brainliest.

Answers

Answer: A is 40

B is 92.5

C is 27.5

Step-by-step explanation:

Simplify the expression below.
tv2 - 9
4w
21
A.
B.
4w + 7
W + 3
w + 7
-9
-40 21
C.
D. w - 3

Answers

Answer:

Its either C or D

good luck

have a good day - be safe - and healthy too

Answer:

B

Step-by-step explanation:

The workers in a senate office said that they received about 700 phone calls from voters last week. Which could be the number of phone calls the office received that would round to 700 when rounded to the nearest 100?

Answers

Answer:

see below

Step-by-step explanation:

Any number between 650 and 749, 650 and 749 are included as well

if number is 50 and above it goes up

0 0 1 2 3 4 4 5 6 6

Which of the following could be the one missing data item for the above
set, if the mode is 4?

OA) 0
OB) 3
OC) 4
OD 5​

Answers

D- I could be wrong

I WILL GET A ZERO SO PLEASE HELP! THANKS!!!

Answers

M=6 is the correct answer
Plz mark brainliest

Answer:

m = 6

Step-by-step explanation:

3.4m = 20.4

3.4m/3.4 = 20.4/3.4

m = 6

Solve the following equation for x. x2 + 8x + 7 = 0 A. x = -1; x = -7 B. x = 1; x = -7 C. x = 1; x = 7 D. x = -1; x = 7

Answers

So the right answer is of option A.

Look at the attached picture

Hope it will be helpful to you..

Answer:

a

Step-by-step explanation:

i took this text

"
5 ft
A
13 ft
a.
sin A=7
islam
/
A= 12,
A = 12 sec A
-
12
cos A = 132
n la
12
COS A = 13
CP
5, CSC A =
b.
sin A = , tan A = o, sec A = 1
12
sin A = 13, tan A =
12
5, sec A =
13
12
COS A = 5, cot A = 5, CSC A =
al
5
COS A = 13, cot A = 12, CSC A -

Answers

Answer:

i don't understand what the question is please explain what the question is.

Find the growth rate (b) if the amount of growth is 11.8%

Answers

Answer:

B

Step-by-step explanation:

I think.

Write the expression as a monomial in its standard form: 8p^15 x (–p)^4 PLEASE ANSWER ASAP!!! Thank you!

Answers

Answer:

8 p^ (19)

Step-by-step explanation:

8p^15 x (–p)^4

Since this is even, a negative number to an even power is the same as the positive number to the even power

8p^15 x (p)^4

We know a^b * a ^ c = a^ (b+c)

8 p^(15+4)

8 p^ (19)

how many solutions 2x−y=1 −6x+3y=2
PLZZ HELP REALLY URGENT

Answers

There are no solutions

2 divided by one over 3 the awnser is a fraction

Answers

Answer:

1/6

Step-by-step explanation:

2/1÷  1/3 (First make 2 a fraction, because 2= 2/1 we will use 2/1)

1/2÷  1/3 (Now we flip the numerator and denominator on a fraction)

1/2 (1/3) (Now we multiply straight across numerator times numerator, denominator times denominator)

1/6 (This is our answer!)

Hope this helped! Stay safe and have a good day or night!

I need the answer please help me

Answers

Answer:

opposite angles have the same number of degrees. so answer is 63 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠NMR = 63°

Vertically opposite angles are equal.

Can someone please help me?

Answers

Answer:

-2

Step-by-step explanation:

Find the value of the expression (2x - 12) + ( 1/2xy - 10) for x = 8 and y = 2

Answers

(2x - 12) + (1/2xy - 10)
(16 -12) + (8 - 10)
4 + (-2)=
2
answer is 2
(2x-12) + (1/2xy-10)
16-12 + 8-10
4+(-2)

if y=4x-1, determine the value of y when x=7/2

Answers

Answer:

y=13

Step-by-step explanation:

Answer:

y =13

Step-by-step explanation:

y=4x-1

Let x = 7/2

y = 4(7/2) -1

y = 14 -1

y =13


The following balls are placed in an urn: 4 red, 2 yellow, 4 blue, and 2 green. One ball is randomly drawn from the urn. What is the probability that the ball
Is either yellow or green?

Answers

Answer:

1/3 as;

16.66665/100 + 16.66665/100 = 33.33/100

Convert to 12 = 4+4+2 +2 = 4/12

Step-by-step explanation:

or 1/3

The area of a parallelogram 420 square cm and the height is 35 cm. Find the corresponding base.

Answers

Answer:

12

Step-by-step explanation:

420/35

12

12*35=420

Answer:

The corresponding base is 12 cm.

Step-by-step explanation:

The area of a parallelogram is calculated with the formula of A=bh, where b is the base and h is the height.

You can apply the problem to the formula:

420=b(35)

To solve, work backwards.

Divide 35 to both sides.

420 divided by 35 is 12

b=12

Hope this helps!

3) Which of the equivalent expressions for P(x) reveals the profit when the price is
zero without changing the form of the expression?
a) P(x) = -3x2 + 432x - 1680
b) P(x) = -3(x - 4)(x - 140)
c) P(x) = -3(x - 72)2 + 13872
4) Find the profit when the price is zero.

Answers

Question:

Which of the equivalent expressions for P(x) reveals the profit when the price is

zero without changing the form of the expression? P(x) = -3x² + 432x - 1680

a) P(x) = -3(x - 4)(x - 140)

b) P(x) = -3(x - 72)² + 13872

Find the profit when the price is zero

Answer:

- P(x) = -3(x - 140)(x - 4).

- P(0) = -1680

Step-by-step explanation:

Given

P(x) = -3x² + 432x - 1680

Required

- Find equivalent of P(x)

- Find P(x) when x = 0

To find the equivalent of P(x), we simply factorize P(x) = -3x² + 432x - 1680.

This is done as follows

P(x) = -3x² + 432x - 1680

P(x) = -3x² + 12x + 420x - 1680

P(x) = -3x(x - 4) + 420(x - 4)

P(x) = (-3x + 420)(x - 4)

Further expand -3x + 420

P(x) = -3(x - 140)(x - 4).

Hence, the equivalent of

P(x) = -3x² + 432x - 1680

without changing its form is

P(x) = -3(x - 140)(x - 4).

When price is 0, then x = 0.

Substitute 0 for P(x) in P(x) = -3(x - 140)(x - 4).

P(0) = -3(0 - 140)(0 - 4).

P(0) = -3(-140)(-4)

P(0) = -1680

Hence, the profit when price is 0 is -1680

The louvre museum is a metal and glass structure that serves as the main entrance to the louvre museum paris, france. The pyramid has a volume of 8820 cubic meters. The base is a square with sides that are 35 meters long. Calculate the surface area of the louvre pyramid

Answers

Answer:

A≈3170.96m²

Step-by-step explanation:

2/5 of it is 22.\
help

Answers

Answer:

55

Step-by-step explanation:

First, you do 22 divided by 2, which is 11. Then, you would multiply that by 5 which equals 55. So, the number is 55.

Answer:

55

Step-by-step explanation:

x=missong number

of means *

2/5 * x = 22

multilpy both sides by 5/2

x =22* 5/2

x = 55

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