solve 5x^2-2x-8=0 using the quadratic formula

__________________________

Step 1: Combine 3x² and 1x² to get 4x²

Step 2: Combine 5x and -2x to get 3x

3x² + 5x + 1 × x² - 2x + 4

___________________________

5896

Given data set:

6283 5700 6381 6274 5700 5896 5972 6075 5993 5581 5972 6274 6075 5896

To calculate the 30th percentile;

i. Rearrange the given data set in ascending order.

5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381

ii. Use the following formula to get the index of the value at the 30th percentile.

N = p(n)

Where;

N = the number of data points at or below the intended percentile.

p = the intended percentile.

n = the number of points in the data.

In this case;

p = 30 percent = 0.3

n = 14

Substitute these values into the equation;

N = 0.3(14)

N = 4.2

iii. From the calculated index, find the value of the 30th percentile.

If the index is a whole number x, the desired percentile is the average of the values at index x and x+1.

For example if the index is 4, then the desired percentile is the average of the values at index 4 and 5. In our case, that will be;

[tex]\frac{5896+5896}{2}[/tex] = 5896

If the index is a decimal number, it is rounded up to the nearest integer. The value at the rounded index is the desired percentile.

For example, in our case, the index is 4.2 which when rounded up becomes 4.

Therefore, the data point or value at index 4 is the 30th percentile. From the arrangement in (ii) above, that will be 5896. i.e

5581 5700 5700 5896 5896 5972 5972 5993 6075 6075 6274 6274 6283 6381

Answer:

Step-by-step explanation:

Answer:

There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.

2.8125

Step-by-step explanation:

use thing below to get answers or count them

Answer:

20.5 miles per gallon

Step-by-step explanation:

To determine the miles per gallon, take the miles and divide by gallons

164/8

20.5

Answer:

A) corresponding

Step-by-step explanation:

Answer:

"C" has to be the answer...

there is a vertical asymptote at -5

thus you need a denominator that is zero at -5

plug in -5 into the equations only "C" ends up with a zero in the denominator at that point

Step-by-step explanation:

Answer:

28=12+15+8+x

28=35+x

35-28=x

x=7

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

Answer:

57

Step-by-step explanation:

100 - 43 =

57

Answer:

He got 57% wrong

Step-by-step explanation:

If he got 43% correct, there is 100 percent on the assignment

100 -43 = 57

He got 57% wrong

Answer:

the product X Y is constant so the relationship is not an inverse variation.

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

i think this is the answer

Answer:

30

Step-by-step explanation:

You do 271 ÷9

= 30.11111111

The answer is your whole number (30)

Answer:

f(g(2)) = 2

Step-by-step explanation:

g(2)

g is the inverse function of x, which means that [tex]g(2)[/tex] is the value of x for which [tex]f(x) = 2[/tex], which is [tex]x = -3[/tex], and thus, [tex]g(2) = -3[/tex]

f(g(2))

[tex]g(2) = -3[/tex]

Thus

[tex]f(g(2)) = f(-3)[/tex]

Looking at the table, when [tex]x = -3, f(x) = 2[/tex]

Thus: [tex]f(g(2)) = 2[/tex]

Answer:

61

Step-by-step explanation:

lenths is a right anglre

Answer:

b . may be

may it helped u ....

Answer:

Multiply the radius by 2 to get the diameter.

Multiply the result by π, or 3.14 for an estimation.

That's it; you found the circumference of the circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the straight sides are just 4.5 *2 = 9 cm

the arcs are  2[tex]\pi[/tex]r * Ф/360

where Ф= 50 for this problem

and r = 8

the inner arc is  2[tex]\pi[/tex](3.5) *50/360 = 3.05432

the outer arc is 2[tex]\pi[/tex](8)*50/360 = 6.98131

total is 19.0356

to 3 sig figs is 19.036  :)

Answer:

angle B is 33 degree

Step-by-step explanation:

let angle A be x and angle D also be x.(because the base angles of ann isosceles triangles are equal)

x+x+48=180 degree(sum of interior angles of a triangle)

2x=180-48

x=132/2

x=66

therefore angle A and Angle D is 66 degree

angle A + angle C=exterior angle D (sum of two interior opposite angles are equal to the exterior angle formed)

66+48=exterior angle D

114 = exterior angle D

In triangle DCB

let angle C be y and Angle B also be y(bases angles of an isosceles triangle are equal)

y+y+114=180 degree(sum of interior angles of a triangle )

2y=180-114

y=66/3=2

y=33 degree

therefore angle B is 33 degree

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

Let x=5

f(5) = 3*5 + 2

Multiply first

    = 15+2

Then add

    = 17

Answer:

r = [tex]\frac{V-IR}{I}[/tex]

Step-by-step explanation:

Given

V = I (R + r) ← distribute parenthesis

V = IR + Ir ( subtract IR from both sides )

V - IR = Ir ( divide both sides by I )

[tex]\frac{V-IR}{I}[/tex] = r

Answer:

i dont know this answer but the answer will be 2log3 ok cheak it clearly wheather it is right or wrong

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I can't explain it but the answer is b

Answer:

See answers below

Step-by-step explanation:

Given the function:

f(x) = 0.15x + 900

a) f(80) = 0.15(80) + 900

f(80) = 12 +  900

f(80) = 912

b)  f(120) = 0.15(120) + 900

f(120) = 18 +  900

f(120) = 918

c) f(200) = 0.15(200) + 900

f(200) = 30 +  900

f(200) = 930

d)  f(56) = 0.15(56) + 900

f(56) = 8.4 +  900

f(56) = 908.4

Answer:

Step-by-step explanation:

-10 and 9

-10×9=-90

-10+9=-1

Answer:

right angle

Step-by-step explanation:

each triangle is a different ome

Answer:

Step-by-step explanation:

First, put them in order.

5.3x+3.6x+9.8-8.14

Add 5.3x and 3.6x

8.9x

Subtract 8.14 from 9.8

1.66

Hola aquí va la respuesta...!!!

[tex]Which of the following are solutions to the equation below?

Check all that apply.

(2x + 3)2 = 10

3

A. x = 10 +

2

B. x=

7

C. x=-

D. X= V10-3

2

10 - 3

E. x=

F. x = - 0 +

NO

[/tex]

[tex] \bold{salu2}[/tex]

Espero que estés bien !

Answer:

\/10-3/2 and -\/10-3/2

Step-by-step explanation:

\/ is square root / is divided by