Please help!! I’m stuck on this

√-4 - 5x = x

A. x = -1 or x = 4

B. x = -1 or x = -4

C. x = 1 or x = -4

D. x = -5 or x = 4/5

E. x = 1 or x = 4

Answers

Answer 1

Answer:

B.  [tex]x = -4\,\lor \,x = -1[/tex]

Step-by-step explanation:

Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.

1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given

2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality

3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) [tex](x+4)\cdot (x+1) = 0[/tex]         [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]

5) [tex]x = -4\,\lor \,x = -1[/tex] Result

Hence, the correct answer is B.


Related Questions

The temperature at midnight was -12 degrees F. The temperature rose to 28 degrees by noon.

What was the temperature change, t, during this time?

Answers

Figure out how many degrees the temperature changed from midnight to noon.

-12 to 28 is 40.
So the temperature change was 40 degrees F from midnight to noon

3/4 (x +21) = 10 1/2
What does x equal?

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \red{x = - 7}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:[tex] \sf distribute : \\ \frac{3 x+ 63}{4} = 10\frac{1}{2} [/tex][tex] \sf simplify \: mixed \: fraction : \\ \frac{3x + 63}{4} = \frac{21}{2} [/tex][tex] \sf cross \: multipication : \\ 2(3x + 63) = 84[/tex][tex] \sf distribute \: 2 : \\ 6x + 126 = 84[/tex][tex] \sf cancel \: 126 \: from \: both \: sides : \\ 6x + 126 - 126 = 84 - 126 \\ 6x = - 42[/tex][tex] \sf divide \: both \: sides \: by \: 6 : \\ \frac{6x}{6} = \frac{ - 42}{6} \\ \bcancel{\frac{6x}{6} } = \frac{ \cancel{ - 42} \: ^{ - 7} }{ \cancel{ \: 6}} \\ \therefore \: x = - 7[/tex]

Step-by-step explanation:

Solution given;

[tex] \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7[/tex]

:.x=-7 is your answer.

INSTRUCTIONS: Calculate the Mean, Median, Mode, and Range from the data set (February 14-28, 2021).
10.9, 10.4, 9, 5.7, 7.8, 9.3, 2.2, 11, 9.6, 4.8, 7.4, 8.4, 7.7, 10.8, 7.7, 10.8, 13.7 (PLS HELP)

Answers

Answer:

The mean is 128.7

There is no mode

The median is 9

The range is 11.5

Step-by-step explanation:

PLEASE HELP!
Find the indicated side of the triangle.

Answers

Answer:

Step-by-step explanation:

Because a and b are both opposite 45 degree angles, a=b. Using the Pythagorean Theorem we can say.

[tex]2a^2=28^2\\ \\ 2a^2=784\\ \\ a^2=\frac{784}{2}\\ \\ a=\sqrt{\frac{784}{2}}\\ \\ a=\frac{28}{\sqrt{2}}[/tex]

9514 1404 393

Answer:

  a = b = 28/√2

Step-by-step explanation:

The ratios of side lengths in an isosceles right triangle are ...

  1 : 1 : √2 = a : b : 28

If we multiply the first ratio numbers by 28/√2, we get ...

  1 : 1 : √2 = (28/√2) : (28/√2) : 28

That is, ...

  a = b = 28/√2

_____

Alternate solution

Once you realize the triangle is isosceles, so that a=b, then you can use the Pythagorean theorem.

  a^2 + a^2 = 28^2

  2a^2 = 28^2 . . . . . . simplify

  a√2 = 28 . . . . .  take the positive square root

  a = b = 28/√2

A metre stick is left outside in the sun and it expands. Explain how this will affect the sticks accuracy and precision. I'm just confused what they mean by the question lol The stick?? Expands???

Answers

Answer:

The expansion of a metre stick (also known as meter stick) in the Sun will affect the meters stick accuracy by reducing the values of the actual length of the dimensions measured with the meter stick

The linear expansion, ΔL, of the meter stick is given according to the following formula;

ΔL = ∝·L₀·ΔT

Where;

ΔL = The expansion (change in length) of the meter stick

∝ =  The coefficient of linear expansion for the meter stick

L₀ = The initial length of the meter stick = 1 meter

ΔT = The temperature change of the meter stick

Due to the small value of ∝ for a meter stick, the change in length of the meter stick is small but the difference will affect the accuracy of the measurements made by the meter stick and the length of an item with actual length of 1 meter can be given by the expanded meter stick as 99 cm  

Step-by-step explanation:

What's 5 over 3 times 6

Answers

Answer:10

Step-by-step explanation:

find each measure plz help

Answers

Answer:

m∠QRS = 52°

Step-by-step explanation:

From the given figure,

In right triangles ΔRQT and ΔRST,

QT = TS = 7.5 units [Given]

RT ≅ RT [Reflexive property]

ΔRQT ≅ ΔRST [By HL theorem of congruence]

Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]

m(∠QRS) = 2m(∠QRT)

               = 2×(26°)

               = 52°

Trista needed x number of cups
of flour to bake cupcakes. If she
triples her recipe she will need
6 cups of flour.

Answers

Answer:

x = 2

Step-by-step explanation:

x * 3 = 6 → is your equation to solve for x

x = [tex]\frac{6}{3}[/tex]

x = 2

Helpppp pleeasseee, will mark brainliest!

Answers

Answer:

a

Step-by-step explanation: I am 99% sure

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=31°, and RS = 27 feet. Find the length of SQ to the nearest tenth of a foot.

Answers

Answer:

44.9

Step-by-step explanation:

HELP PLSSS ILL MARK YOU BRAINLIIEST !!!!!!!!!!

Answers

Answer:

5.6

Step-by-step explanation:

Please s helppppppo!!!!

Answers

Answer:

22

Step-by-step explanation:

Hey There!

So if you didn't know angle H is a right angle. So we are given two angles and they want us to find the missing angle

Remember all of the angles of a triangle add up to equal 180

so we subtract the given angles from 180 to find the missing angle

180-90-68=22

so we can conclude that angle G = 22

Find the circumference of a circle with radius, r = 10.5m.Give your answer in terms of π
.

Answers

Answer:

Circumference of circle =2πr=2π×10.5=21πm

Step-by-step explanation:

You work in the upholstery department of a furniture factory.

You are trained
to upholster couches, loveseats, and chairs.

You receive $165 for each couch, $110 for each loveseat, and $95 for each chair.

During the last 4 weeks you
upholstered 5 couches, 6 loveseats, and 5 chairs.

a. What is your total pay for the 4 weeks?

b. If you worked 160 hours, what was your hourly rate?

Answers

Answer:

total pay in 4 weeks is $ 1960.00

$ 12.25 per hour

Step-by-step explanation:

5 x 165= $ 825

6 x 110= $ 660

5 x 95= $ 475

____________

           $ 1960.00 dollars divided by 160 = 12.25

1960/ 160= 12.25

Help. Best=brainliest

Answers

Set side lengths equal to each other and solve for x. All sides are equal lengths in a square.
6x - 1 = 4x + 6
2x = 7
X = 3.5

Plug in x in one of the equations
4 x 3.5 + 6 = 20

Each side is 20 cm

5m - 2n=4
m - 4n = -1
20 3x + 5y = 11
2x - y=3​

Answers

Answer:

Step-by-step explanation:

5m - 2n = 4

 m - 4n = -1     add 4n to both sides   m - 4n + 4n = 4n - 1  

 m = 4n - 1      now substitute for m into the first equation

5(4n -1) - 2n = 4

20n - 5 - 2n = 4           combine the n coeffients  and add 5 to both sides

18n - 5  = 4 + 5

18n  = 9      solve for n      by dividing 18 by both sides

 18 n/18   =  9 /18

      n   =    1/2      now find for m using  m = 4n - 1    m = 4(1/2) - 1   m = 2 -1  = 1

      m  =   1          (1, 1/2)  solves the two equations

3x + 5y = 11      equation 1    

2x - y = 3​          multiply both sides by 5 so when you add the two equation

                         the y term is eliminated  (becomes zero)

5(2x-y) = 5(3)

10x - 5y = 15    equation 2      add equation 1 and equation 2

3x + 5y = 11     add the like terms

10x - 5y = 15    add the like terms

(3x + 10x) + (5y - 5y) = (11 + 15)

   13x        +     0       =    26               the y tern is gone   now solve for x      

   13x = 26

    13x/13  = 26/13

     x = 2                        now find y    using  2x - y = 3

   2x - y = 3         add y and subtract 3 from both sides

   2x - y + (y - 3)  =  3 + (y - 3)

   2x - 3 = y         we already know x = 2

   2(2) - 3 = y

     4 - 3 = y

        1  = y           answer (2,1)   solves the two equaitons

n is an integer
write the values of n such that -15<3n<_6

Answers

-15<3n<-6 ÷3 → -5<n<-2

n = -4 , -3

Please help, this is for a final grade and it affects how I place

Answers

No solution
y=3x-3
-6x+2y= -4
-6x+2(3x-3)= -4
-6x+6x-6= -4
Cancel -6x+6x, since it equals 0, you are left with -6= -4. No solution.

Logan is doing a handstand dive from a 12 meter platform. The equation that
models the path of her dive is given by h -4.9t2 + 12, where t is seconds.
At what height will she be after 1 second?

Answers

7.1 meters
First replace t with 1
-4.9(1)^2+12
(1)^2= 1
-4.9 times 1 is -4.9
12-4.9=7.1
Hence 7.1 meters

Hope this helps!

What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1

Answers

The equation is: y = x + 7

Which is the product of 15 5/12

Answers

Answer:

25/4 or 6 1/4

Step-by-step explanation:

15 x 5/12 = 5 x 5/4 = 25/4

Dragonflies today have a wingspan of 6 inches. The ancestors of the dragonfly had a wingpan 5 times greater. How long was the wingspan of the dragonfly's ancestors?

Answers

I believe The answer is 30 inches because 6x5 is 30

Lian buys 10 packs of batteries. C batteries are sold in packs of 6. AAA batteries are sold in packs of 8. Lian buys 72 batteries in all. Let x be the number of packs of C batteries. Let y be the number of packs of AAA batteries. Write an equation to find how many packs of each type of battery Lian buys.

i need this right awayyy just the equation pleaseeee

Answers

Answer:

x + y = 10

6x + 8y = 72

Step-by-step explanation:

Will give brainlest
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression
zh

a.

zh
— =
a

Answers

Answer:

8

Step-by-step explanation:

6*4/3=8

Answer:

[tex] \frac{6(4)}{3} \\ = \frac{24}{3} \\ = 8[/tex]

Use trignometric ratios. round the value of x to the nearest tenth.
The correct answer will get Brainliest.​

Answers

x/(12 m) = sin17°

x/(12 m) = 0,2924 / * 12 m

x ≈ 3,5 m

Help Please ASAP all answers are greatly appreciated!

Answers

Answer:

its either a or b not entirely sure on which

Step-by-step explanation:

the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps

Answer:

236.5

Step-by-step explanation:

Sorry if it looks messy, I messed up in the middle!

What is the value of x in the figure?

Answers

Answer:

x = 27

Step-by-step explanation:

The little square at the bottom of the figure means that that angle is a right angle, or 90°. Knowing that it's a 90° angle and that one section of the adjacent angle is 63°, we just calculate 90-63 to get 27, the value of x.

A new health drink has 130% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 30 mg. How many milligrams of the vitamin are in the drink?

Answers

Answer:

39 mg

Step-by-step explanation:

To get the number of milligrams, all we have to do is to find 130% of the RDA

mathematically, we have this as;

130% of 30

= 130/100 * 30 = 39 mg

Change Of Percent
11.
0.1 to 0.2

Answers

Answer:

0.1-0.2 is a change of 100% as it is doubled.

Seafloor spreading creates new rock on the __________ and pushes old rock to the__________.
Please Help! This is due today!

Answers

Mid ocean ridges and moves the old rock to the crust
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