What are the solutions to the equation? 4x=32-x^2

Answers

Answer 1

Answer:

-8 and 4

Step-by-step explanation:

4x=32-x^2x^2 +4x - 32=0x^2+4x+4 - 36=0(x+2)^2- 6^2=0(x+2+6)(x+2-6)=0x+8=0  ⇒ x= -8x-4=0 ⇒ x=4

Answer 2

4x = 32 -x^2

Subtract 4x from both sides and rearrange the equation:

-x^2 -4x +32 = 0

Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a

From the rewritten equation: a=-1, b = -4 and c = 32

Solving for x you get x = -8 and x = 4

The solutions are -8 and 4


Related Questions

square roots of 263 by division method ​

Answers

Answer:

no whole number

Step-by-step explanation:

263 is a prime number, so it can be divided only by 1 and 263. So, no whole number will be square root for 263.

Which angle measures approximately 152°?

Answers

Answer:

The answer is YZC, so the third option

Step-by-step explanation:

The explanation for this one is fairly simple, as the lines are already drawn out for you!

The line labeled C lines up with 152 on the protractor, and after connecting that to the base point Z in the middle and then the base line of Y, you get YZC

Hopefully I helped you!

Answer:

yzc

Step-by-step explanation:

i took the test and got it right

what is the volume of a cylinder with a height of 10 cm and a radius of 2 cm ?

Answers

Answer:

20 =10X2cm

20

answer answer

Step-by-step explanation:

First you need to find the area of the base and then multiply that by the height. The base of the cylinder is equal to pi times the radius squared or πr² which in this case is π·2². We then multiply the base times the height which gives us 10·π·2^2. I will let you simplify the result on your own.

Consider this quadratic equation.

x2 + 2x + 7 = 21

The number of positive solutions to this equation is
_____.

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
_____.

Answers

Step-by-step explanation:

work is shown and pictured

1/3 of the members Voted know what fraction of the members did not know

Answers

Answer:

2/3 did not vote no

Step-by-step explanation:

1/3 voted no

The total is 1

1 - 1/3

3/3 -1/3

2/3 did not vote no

Which set of points on the graph represents equivalent ratios?

Please help me i dont know this question

Answers

Answer:

B-points B, C, and D

Step-by-step explanation:

got this correct:)

hurrryyyyy!!!! Need answer for work.

Answers

Answer:

x<7, The third option

Step-by-step explanation:

-1.1x+6.4>-1.3

We are trying to isolate x so we can move all the constant to one side.

-1.1x>-1.3-6.4

-1.1x>-7.7

Lastly, we need to divide both sides by -1.1.

-1.1x>-7.7/-1.1

Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.

x<7

Hope this helps :)

Answer:

I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...

Topic: Probability


Only complete question 13.

Answers

Answer:

see below

Step-by-step explanation:

Assuming the comma means and

a) P(A , E) = P(A) * P(E) = .1 * .5 = .05

b) P( A, L, E) =  P(A) * P(L) *P(E) = .1 *.4* .5 = .002

C This means that it snows in Abbostford, Lehtbridge and Estevan today  is .002 or .2%

Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?

Answers

Answer:

a(n)=1800+(n-1)200

Step-by-step explanation

The usual formual is an=a1+d(n−1)

a1=The first number is the number you would start on

so 1800=a1

n=the number of times you would do it

you would usually put n-1 because the first number is already been put though the formula

d=the amount of change between each number

so 200=d

A(n)= a of n, like f(n) means f of n

so that why it is a(n)=1800+(n-1)200

i also got it right on A.pex

Wayne charges the following for repairing washing machines:£28 call out charge +£16 for each half-hour he spends on the repair what will the total cost be for a repair which takes one and a half hours?

Answers

Answer:

The cost for a repair that takes one and a half hour is £52

Step-by-step explanation:

We can create a function that relates the value Wayne charges in function of the time it takes for him to fix the washing machine in hours. Since there's a fixed cost of 28 and another charge that is variable of 16 per half hour, then the function below represents the cost of the repair:

[tex]cost(t) = 28 + 32*t[/tex]

In this case the variable value "16" was multiplied by two, because it's easier when the time is given in hours and every hour contains two half-hours. If the repair took 1.5 h, then:

[tex]cost(1.5) = 28 + 16*1.5\\cost(1.5) = 52\\[/tex]

The cost for a repair that takes one and a half hour is £52

Steel is formed by combining masses of carbon and iron in the ratio 1:49. How many pounds of iron would it take to create 10 pounds of steel?
A)0.49
B)0.48
C)4.9
D)9.8

Answers

Answer:

9.8

Step-by-step explanation:

1:49= ratio of carbon to to iron

1+49= steel

50=10pounds

49=?pounds

49 * 10/50

=49/5

=9.8pounds

Help please I WILL MARK BRAINLIEST

Answers

Answer:

SAS

Step-by-step explanation:

DB and BD are equal

The angles near D are equal

AD and DC are equal

Side Angle Side

compare: 6/11 to 5/9 which one is greater

Answers

Answer:

5/9 is greater

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

URGENT PLEASE HELP ME I SUCK AT GEO

Answers

Answer: 225°

Step-by-step explanation:

Each rotation is 45°

From C to H, there are five rotations

5 * 45 = 225°

Answer:

D: 225 degrees

Step-by-step explanation:

You want to first find the value of each angle that comes in together at point P. To do this, you take 360 degrees/8 degrees. 360 since that is a central angle and 8 because there are 8 congruent angles that make up the central angle. You should get 45 degrees. Then since it takes 5 "45 degree turns" to get onto H, you would do 5 times 45 to get 225.


Help me ASAP please.

If two lines intersect and one angle measures 25°, what are the measures of the other angles?


25
75
155
125

Answers

Answer:

Two Lines that intersect from TWO angles.  The sum of the Two Angles is always 180 degrees.

180  Minus 25 =  155.

Step-by-step explanation:

4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair

Answers

Answer:

c) a right angle

Step-by-step explanation:

A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.

These angles have the following attributes:

a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°

b) The angles are adjacent complementary angles: These means that the angles are next to each other.

Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.

Answer:

a right angle

Step-by-step explanation:

A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from

Answers

Answer:

a)40.5m

b)139.5m

Step-by-step explanation:

Considering downward as 'positive' y-direction

[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]

First is to resolve initial velocity into x and y component:

[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]

a) in order to find horizontal position of the ball:

[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]

[tex]x_f= 8.1\times5=40.5m[/tex]

b) To find the height that the ball was thrown from(vertical position):

[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]

What is the slope of the line that contains the points (-32, 23) and (-32, -19)?

Answers

Answer:

undefined

Step-by-step explanation:

The slope of a line is given by

m = (y2-y1)/ (x2-x1)

    = ( -19 -23)/(-32 - -32)

     = 42 / 0

Dividing by zero gives us an undefined answer so the slope is undefined

Please help! Correct answer only!


At a carnival, there is a game where you can draw one of 20 balls from a bucket. The balls are numbered from 1 to 20. If the number on the ball is odd, you win $31. If the number on the ball is even, you win nothing. If you play the game, what is the expected payoff?

$____

Answers

Answer:

Expected Payoff ⇒ $ 15.5 ; Type in 15.5

Step-by-step explanation:

Considering that all odd out of the 20 numbers will have a probability of winning a 31 dollar prize, take a proportionality into account;

[tex]20 - Total Number of Balls,\\1 - 20 - Numbering of Balls,\\Even = Odd, Between 1 - 20, Knowing 20 - Even,\\\\10 / 20 - Odd,\\10 / 20 - Even,\\1 / 2 - Probability of Choosing an Odd Ball,\\\\Proportionality - 1 / 2 = x / 31, where x = " Expected Payoff ",\\1 / 2 = x / 31 - Cross Multiply,\\2x = 31,\\\\Conclusion ; x = 15.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 15.5

Find the circumference of this circle:
7 cm
Write appropriate units with your answer, and round your answer to 2 decimal places.

Answers

I used 3.14 for pie so my answer may very slightly.
Answer: 43.96
Reasoning/Work:
(formula): C= 2(pie, 3.14)r
2x3.14x7
43.96

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

Answers

Answer:

see below

Step-by-step explanation:

g(x) = sqrt(x+3)

g(-6) = sqrt(-6+3) = sqrt(-3)  not a real number not in domain

g(-3) = sqrt(-3+3) = sqrt(0)  0  in domain

g(3) = sqrt(3+3) = sqrt(6)    in domain

Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input

Answers

The correct answer is C. Domain
The answer is C-Donain

There are 41 students in 6th grade Group A of a junior high school,
and the number of boys is 3 more than the number of girls.
How many boys and girls are there in the class, respectively?

Answers

Answer:

23 boys 21 girls

Step-by-step explanation:

so what i would do is 41/2 =20.5 (we round up becaue its people) 21

so if there are 3 more boys then we  have 23 boys and 21 -3(to make it equal in half) 18 girls

i might be wrong  im not in this level of math yet    

what is volume of cone that has a height of 6 inches, a radius of 3 inches, and a slant height of 6.7 inches

Answers

Answer:

V=56.52

Step-by-step explanation:

v=1/3(3.14)( r^2) (h)

V=1/3(3.14) (9)(6)

V=56.52

Answer:

The correct answer is 18π cubic inches

Step-by-step explanation:

I just took the test and I got the answer correct, I hope this will help you! :)

What is the equation of the following line? Be sure to scroll down first to see all answer options

Answers

Answer:

E. y = 1/4x

Step-by-step explanation:

Using y = 1/4x. Do rise over run. The graph rises 1 on the y-axis for every 4 on the x-axis

Which expression is equal to -3b^4(6b^-8)? Assume b=/0

Answers

Answer:

-18 b^-4= -18/b^4

Step-by-step explanation:

-3b^4(6b^-8)

Combine coefficients

-3*6 = -18

Combine exponents since the bases are the same, x^y * x^z = x^(x+z)

b^4 *b^ -8

b^(4+-8)

b^ -4

Put back together

-18 b^-4

We also know that x^-y = 1/x^y

-18/b^4

James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.

Answers

Answer:

£2,450

Step-by-step explanation:

What we want to do here is calculate the total amount spent on his birthday in £

We already have some costs in pounds, it is the costs not in pounds we are converting.

Flights already in pounds, no conversion

Hotel $105 per night at 14 days

Total here is 14 * 105 = $1470

Wifi cost at $4 per day for 13 days

Total here is 13 * 4 = $52

Total amount spent in dollars alone is $1470 + $52 = $1522

We try and covert this to pounds

$1.45 = £1

$1522 = £x

We simply cross multiply at this point

x = 1522/1.45 = 1049.65 which is approximately £1050

Total amount spent in £ is thus 1050 + 1400 = £2,450

Answer:

£2449.65

Step-by-step explanation:

105 × 14 = $1470

1470 ÷ 1.45 = £1013.79

13 × 4 = $52  

52 ÷ 1.45 = £35.86

£1013.79 +  £35.86 = £1049.65

£1049.65 + 1400.00 = £2449.65

The total cost was £2449.65

How long would it take you to reach 100 for the number of times you did your activity from this graph?
PLEASE HELP NOW
ILL GIVE YOU BRAINLIEST

Answers

Answer:

33 1/3 minutes

Step-by-step explanation:

I note x- number of sentences

          y=time

when  x=3, y=1

          x=6, y= 2

           I observe that for every 3 sentences I have one more minute ( y increases by 1)  so y= x/3

when x=99 i have y=99/3=33 minutes

          for x= 100 I have y=100/3minutes= 33  1/3 minutes

If the 6th terre
an Alis 11 and the first term is 1
find the common difference

Answers

Answer:

6th term = 11

1st term = 1

d = 11 - 1/5 = 2

Please help with this question

Answers

Answer:

2nd graph from top

Step-by-step explanation:

a/ -5 ≥ 10

Multiply each side by -5, remembering to flip the inequality

a/-5 *-5 ≤ 10*-5

a ≤ -50

closed circle at -50 line going to the left

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