In what direction does the function f(x)=−(14x−1)(4x+1) open? Explain.

Answer:

[tex]b_i = -0.020125[/tex]

Step-by-step explanation:

Given

[tex]\sum x_i= 2000[/tex]

[tex]\sum y_i= 86.6[/tex]

[tex]\sum x_i^2= 216000[/tex]

[tex]\sum x_iy_i = 8338[/tex]

[tex]n = 20[/tex]

Required

Determine the slope (b) of the regression line

This is calculated as:

[tex]b_i = \frac{\sum xy - \frac{\sum x\sum y}{n}}{\sum x^2 - \frac{(\sum x)^2}{n}}[/tex]

Substitute values for each term, we have:

[tex]b_i = \frac{8338 - \frac{2000 * 86.6}{20}}{216000 - \frac{(2000)^2}{20}}[/tex]

Simplify the numerator

[tex]b_i = \frac{8338 - 8660}{216000 - \frac{(2000)^2}{20}}[/tex]

Simplify the denominator

[tex]b_i = \frac{8338 - 8660}{216000 - 200000}[/tex]

[tex]b_i = \frac{-322}{16000}[/tex]

[tex]b_i = -0.020125[/tex]

Answer:

H. x - 8 ≤ 15 is correct I think.

Step-by-step explanation:

Have a nice day!

Answer: A=144

Step-by-step explanation:

A=a^2=12^2=144 I hope this helps sorry if it doesn't. :)  

Answer:

letter corresponds to the base=b

letter corresponds to the slant height=s

letter corresponds to the height=,h

Answer:

Train A weighs 156 tons, and Train B weighs 78 tons.

Step-by-step explanation:

Given that two trains, Train A and Train B, weigh a total of 243 tons, and Train A is heavier than Train B, with a difference of their weights of 87 tons, to determine what is the weight of each train, the following calculation has to be done:

(243 - 87) / 2 = B

156/2 = B

78 = B

243 - 87 = A

156 = A

Therefore, Train A weighs 156 tons, and Train B weighs 78 tons.

Step-by-step explanation:

2b + 9

b = 3

6+9

=15

!!!!!!!!!!!!

Answer:

14

Step-by-step explanation:

Answer:

x= 20

Step-by-step explanation:

2x + 60 = 100

> subtract 60 both sides

2x = 40

> divide both sides by 2

x= 20

Answer:

20

Step-by-step explanation:

2x+60=100

-60

2x=40/2

x=20

Answer:

-18

Step-by-step explanation:

y=6x-3

6x-3=-18

-18=6x-3

Answer:

intercept: -3

slope: 6

Step-by-step explanation:

The number in the back and the operations are the y-intercept and the number multiplied by x is the slope.

Answer:

Hello! answer: x = 20

Step-by-step explanation:

Because 3 multiplied by x which equals 20 gets us 60 then we just add the 2 and get 62 these are vertical angles so they will have the same measure hope that helps!

Answer:

30ft.

your welcome. ...................

Answer:

6m + 2n

Step-by-step explanation:

we have to added up the like therms

like therms are therms that have the same literal part

6m + 2n

Answer:

7m-m+4n-2n

m(7-1)+2n(2-1)

m(6)+2n(1)

6m+2n

Answer:

Ermm there no question bud, whats the question?

Answer: i think true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope it helps u!!

Answer:

False because 1/2 would be half the number 2/2 or 1 would be the whole number so 3/2 would be a whole and half or 1 1/2

Answer:

false

if the number is X

3/2 of X= X 1/2

[tex]x \frac{1}{2} > x[/tex]

Trapezoid Area =

[ ( Sum of the rules ) × ( height ) ] ÷ 2

_________________________________

Area = [ ( 2 + 3 ) × 3 ] ÷ 2

Area = [ 5 × 3 ] ÷ 2

Area = 15 ÷ 2

Area = 7.5 m^2

Answer:

53‾√

Step-by-step explanation:

give brainliest pls and thank you

Answer:

L

Step-by-step explanation:

The first number is always x-coordinate. And amongst all only J and L has positive x-coordinates. With J y-coordinate is also positive so it should be L

Answer:

Step-by-step explanation:

a) total fixed cost is 100(derived from total cost function). It is not depended on output.

b)AFC=TFC/Q.AFC=TFC/Q.

AFC(100)=100/100=1.AFC(100)=100/100=1.

AFC(300)= 100/300=1/3.AFC(300)=100/300=1/3

Answer: 6396

Step-by-step explanation:

Delta math

Answer:

2, - 6 your welcome caubububyvyvybubufwrduvibuvc

Answer:

(6, 7)

Step-by-step explanation:

A rectangle means that opposite sides are parallel to each other and that opposite sides are equal in measurements.

If we look at the opposite side starting at (2, 1), we can count how long the other side should be. Counting the next point of the rectangle is (6, 1) which is a difference of 4. This means if we count from (2, 7) 4 spaces to the right, we will find our missing vertex.

(2 + 4, 7) = (6, 7)

Answer:

Α. the change in prices of all goods and services over time

Step-by-step explanation:

sorry if I'm wrong

Answer:

slope=-9/2

y int- 6

Step-by-step explanation:

okay lets take two points

-2,15 and -6,33

the slope is 33-15/ -6-(-2)= 18/-4=-9/2

equation is y=mx+b where m is slope and b is y intercept

so plugging values in we get

15=-2(-9/2)+b

15=9+b

b=6

Answer:

4,261

Step-by-step explanation:

after 23 hours, the number of bacteria =

4,000.

so, after 26 hours = 4,000+ (3/23 ×4000)

= 4,000 + 261 = 4,261

Step-by-step explanation:

y=x-2....eqn1

x+y=12.....eqn2

now,

from eqn 1

y= x-2

again, putting value of y in eqn 2

in eqn 1

hope it helps..

Answer:

Eiko ran the dash in the shortest time.

Step-by-step explanation:

By looking at the children’s speed, we can see that Eiko had the shortest amount which also concludes that he ran the fastest.

Answer:

16.73 I THINK

Step-by-step explanation:

my guess is n1 is relating to the 4.9, and if it then you would do the Pythagorean theorem. because the degrees are there to let you know it's a right angle and you are able to use the theorem..... so -

4.9^2 + 4.9^2 =C^2

48.02 =C

√48 = 6.93 (rounded to nearest hundredth)

then you add them all together

4.9+4.9+6.93=16.73

Answer:

x = 2

Step-by-step explanation:

3 + 6x = 15

rearrange to 6x + 3 = 15

subtract 3 to both sides 3 - 3 and 15 - 3

simplify 6x = 12

x = 2