Explain how to solve 4x 2- 5x = 16 by completing the square. What are the solutions?

Answers

Answer 1

Answer:

[tex]x = \frac{16}{3} [/tex]

Step-by-step explanation:

Solve the equations:

[tex]4x \: 2 - 5x = 16[/tex]

Multiply the monomals:

[tex]8x - 5x = 16[/tex]

Combine like terms:

[tex]3x = 16[/tex]

Divide both sides of the equation by the coefficient of variable:

[tex]x = 16 \div 3[/tex]

Calculate:

[tex]x = \frac{16}{3} [/tex]


Related Questions

How did find nth term of an arithmetic sequence ?​

Answers

You hit the woah with a song on

AHHHHH HELP IT'S TIMED!!!!!!!
I'LL MARK BRAINLIEST SO PLEASE HELP!!!!!!

Answers

its c, because y doesnt increase by a steady rate. :) hope it helps!,

I need to know the area in square centimeters of sector ABC?

Answers

The answer is 100 pi in the question but in cm...is 314cm^2

Answer:

75π / 2

Step-by-step explanation:

a = (∅ / 2π) * πr²

a = (3π/4 / 2π) * π(100)

a = (3/8) * 100π

a = 300/8 * π

a = 75/2 * π

a = 75π / 2

Dose anyone know the answer

Answers

The answer is the D ( the last one)

Can someone help me please

Answers

Answer:

112

Step-by-step explanation:

Answer:

We have

Angle ORQ

we use the Thales theory

From the formulae

A²+B²=C²

consider

A=OR

B=RQ

C=OQ

so

48²+64²=C²

2304+4096=C²

6400=C²

(6400)¹/²=(C²)¹/²

80=C

But

C=OQ

《OQ=80

Need help!!!!!!!!!!!!!!!!

Answers

Answer:

g(x) = [tex]-\frac{2}{5} (10)^{x}[/tex]

Step-by-step explanation:

Looking at the equation of a Exponential Function:

[tex]y= a(b)^{[k(x-h)]}+c[/tex]

The a-value [tex](\frac{2}{5})[/tex] determines whether the function reflects over the x-axis. If it's negative it reflects over the x-axis. If it's positive it stays over the x-axis.

You roll a standard six sided number cube. What is the probability of rolling a prime number or a number greater than 4?

Answers

4/6. Prime numbers 2,3,5 and the numbers 5 and 6 but you don’t include 5 twice so it would be 4 possible numbers out of 6 you can roll that are a prime number and that is greater than 4

A quarter back completes 23% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. What is the probability that the quarterback throws exactly 6 incomplete passes before he has a completion

Answers

Answer:

[tex]Pr = 0.0479[/tex]

Step-by-step explanation:

Given

[tex]p =23\%[/tex] --- proportion of completed passes

Required

The probability that he has 6 incomplete before he has 1 completion

Let:

[tex]q \to[/tex] proportion of back passes not completed

Using complement rule:

[tex]q = 1 - p[/tex]

[tex]q = 1 - 23\%[/tex]

[tex]q = 1 - 0.23[/tex]

[tex]q = 0.77[/tex]

The event that he has 6 incomplete passes before he completed one is:

q q q q q q p

And the probability is:

[tex]Pr = q * q * q * q * q * q * p[/tex]

[tex]Pr = q^6* p[/tex]

[tex]Pr = 0.77^6* 0.23[/tex]

[tex]Pr = 0.0479[/tex]

Could someone help me, please? I got 4, but I’m not sure.

Answers

Answer:

4

Step-by-step explanation:

✨PLEASE HELP ASAP!!!✨
What is the solution to the system of equations?

Answers

Answer:

x=4, y=-2

Step-by-step explanation:

Answer:

x = 4

y = - 2

Step-by-step explanation:

3x + 8y = - 4

2x - 4y = 16                 Multiply the second equation by 2 and add it to the 1st

3x + 8y = - 4

4x - 8y = 32               Add

7x = 28                      Divide by 7

7x/7 = 28/7

x = 4

2x - 4y = 16              Substitute 4 for x

2*4 - 4y = 16            Combine  

8 - 4y = 16                Subtract 8 from both sides

-4y = 16 - 8

-4y = 8                     Divide by -4

y = 8/-4      

y = - 2

Carroll bikes 1 kilometer east, 4 kilometers north, and then 5 kilometers east again. How far is Carroll from her starting position?

Answers

Answer:

10.5 km

Step-by-step explanation:

this can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

1² + 4² =

1 + 16 = 17

√17 = 4.123km

4² + 5²

16 + 25 = 41

√41 = 6.40 KM

total distance = 6.4 + 4.12 = 10.52

Hi, it would be a load of help if someone could explain the working for this question.

Three bricklayers Maric, Hugh and Ethan are cladding a new home. If Maric were to work alone, the job would take him 8 days to complete. If Hugh were to work alone, the job would take him 6 days to complete, and if Ethan were to work by himself, the job would take him 12 days to complete.a If the three men work together, how long will it take them to complete the job

Answers

Step-by-step explanation:

the work will be finished in 26 daysplease mark the answer as the brainliest

8. It is the measure of the space inside the solid figure.
b. surface area
C. circumference
d. volume
a. area​

Answers

Answer:

the answer will be volume

please mark the answer as the brainlliest one

What is the congruence correspondence, if any, that will prove the given triangles congruent?

Answers

Answer:

Step-by-step explanation:

In ΔFYG & ΔBUH

∠F = ∠B

FY = BU

YG = UH

ΔFYG ≅ ΔBUH   { Angle Side Side congruent}

3x-6y=24 y=Mx+b form

Answers

Answer: y=(1/2)x-4

3x-6y=24
-3x -3x
-6y=-3x+24
Divide by -6
y=(1/2)x-4

pls help me solve this please show how you got the answer

Answers

Answer:

19 Black Buttons

Step-by-step explanation:

1/4 of 40= 10

1/5 of 40= 8

10+8=18

18+4=21

So there are 21 white grey and orange.

The rest are black so 40-21=19

So 19 black buttons

Hope this helps

Step-by-step explanation:

40 button

1/4×40=10 white

1/5×40=8 grey

4 orange

Total=22

Then,subtract

40-22

=18 black buttons

Click on the number line below to show the approximate location of 19 on the number line.

Answers

Answer:

Between 4 and 5

Step-by-step explanation:

The closest square numbers are 16 and 25, so it’s in between 4 and 5


Given right triangle ABC, what is the value of tan(A)?

Answers

The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.

The value of angle tanA will be calculated as:-

tanA = P / B

tanA = 24 / 10

tanA = 12 / 5

Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

The drama club is selling tickets to their annual talent show. They sold adult tickets (a) for $12.50 each and student tickets (s) for $6. They sold a total of 30 tickets and made $264.50.

Which system of equations best represents the situation above?

Answers

Answer:

12.5a + 6s = 264.5   and   a + s = 30

Step-by-step explanation:

They also intersect at (17, 13)

(17 student tickets, 13 adult tickets)

Good Luck!

hi so the problem is a recipe calls for a total of 3 2/3 cups of flour and sugar. If the recipe calls for 1/4 cup of sugar, how much flour is needed
1. 3 1/12
2. 3 1/4
3. 5/12
4. 3 11/12

Answers

Answer:

3 5/12 cups of flour are needed

Step-by-step explanation:

The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar.  So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):

 11       1

----- - ----              where 11/3 is the improper fraction form of 3 2/3

   3      4

The LCD is 12.  Rewriting this subtraction using the LCD, we get:

44     3

---- - ----- = 41/12 (cups) = 3 5/12 cups

12     12

3 5/12 cups of flour are needed

Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?

StartFraction pi Over 4 EndFraction radians
StartFraction pi Over 2 EndFraction radians
2π radians
4π radians

Answers

Answer:

Answer is b

Step-by-step explanation:

just did it

What value of x makes this proportion true?
3/x = 15/40
A. 5
B. 28
C. 8
D. 105

Answers

Answer:

here the value of X should be 8 to make this proportion true

3/8=15/40

by cross multiplying

15*8=40*3

120=120

therefore the option C is correct

8 less than the product of a number n and 1/7 is no more than 95 .

Answers

Answer:

95 ≤ 8 < 1/7n

Step-by-step explanation:

95 ≤ 8 < 1/7n

no more = less than or equal to

product of a number n and 1/7 = 1/7•n = 1/7n

¿Cuántos quilómetros recorrerá una locomotora en 5 horas, si marcha a una velocidad de 82 kilómetros
por hora?

Answers

Step-by-step explanation:

Datos;

una locomotora

recorre 5 horas

a una velocidad de 82 km/h

Se asume que la locomotora lleva un movimiento rectilíneo uniforme.

Su recorrido esta descrito por la siguiente ecuación de posición;

x = x₀+ v · t

x-x₀ = d = v · t

siendo;

d = distancia recorrida

v = 82 km/h

t = 5 horas

Sustituir:

d = (82)(5)

d = 410 km

82km/h * 5h= 410km

La locomotora recorrerá 410km

What type of line is PQ? Please help!!

Answers

PQ is an angle bisector since it is splitting the angle RPS in half to RPQ and SPQ

An angle bisector is PQ

Help Me Please?????????????

Answers

Answer

Step-by-step explanation:

8^-5/8^-2

=8^5-(-2)

=8^5+2

=8^7

=2097152

Note in division if the base the base are same then u can subtract their exponent but in multiplication bases are same u should add their exponent.

2 |m - n²| + k³ (if k = -2, m = -7, and n = 4)


(Those aren't 1s, they're the absolute value thingies)​

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

Given angel theta with cos theta < 0 and sin theta > 0, indicate the quadrant that theta lies in

Answers

bearing in mind that cos(θ) < 0, is just another way to say that cos(θ) is negative, and sin(θ) > 0, is just another way to say that sin(θ) is positive.

Check the picture below.

What is the average weight of the kittens in the shelter?worth?10points

Answers

Answer:

I believe it’s 3/8 since it’s the highest and that’s the weight most kittens are in the graph.

Step-by-step explanation:

If you want you could wait for somebody else to respond since I could be wrong, but I still hope I was able to help :)

+
(10x+2)

(9X+18) find the value of x

Answers

16

Step-by-step explanation:

10x+2=9x+18

-2 -2

10x=9x+16

-9x -9x

x=16

Hope this helps! :)

Answer:

x = 16°

Step-by-step explanation:

(10x + 2)° = (9x + 18)°

10x + 2 = 9x + 18

10x + 2 - 2 = 9x + 18 - 2

10x = 9x + 16

10x - 9x = 9x - 9x + 16

x = 16°

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