What is the value of x?


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x =

Answer:

[tex]Rate = -5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x^2 - x - 4[/tex]

[tex]-4 \le x \le 2[/tex]

Required

Determine the average slope over the given interval

This is calculated as:

[tex]Rate= \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex]a = -4[/tex]

[tex]b =2[/tex]

So:

[tex]Rate= \frac{f(2) - f(-4)}{2 - (-4)}[/tex]

[tex]Rate= \frac{f(2) - f(-4)}{2 +4}[/tex]

[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]

Solving for f(2) and f(-4), we have:

[tex]f(x) = 2x^2 - x - 4[/tex]

[tex]f(2) = 2 *2^2 -2 - 4[/tex]

[tex]f(2) = 2[/tex]

[tex]f(-4) = 2*(-4)^2 - (-4) - 4[/tex]

[tex]f(-4) = 2*16 +4 - 4[/tex]

[tex]f(-4) = 32[/tex]

So, the equation becomes

[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]

[tex]Rate= \frac{2 - 32}{6}[/tex]

[tex]Rate= \frac{-30}{6}[/tex]

[tex]Rate = -5[/tex]

Answer:

A. y= - 1/2x + 20

B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)

C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline

hope this helps ;)

Answer:

(-5,7) (-5,8) (-5,3)

Step-by-step explanation:

Dont know if this will help but here you go

Answer:

The median is three, the mean is 3.5, the range is 6 and there is no mode.

Step-by-step explanation:

Answer:

maybe $825

Step-by-step explanation:

Im not sure but I think Its accurate

Answer:

- 2t³ + 4t² - t

Step-by-step explanation:

f(t) - g(t)

= 3t³ - 4t + 6t² - (5t³ + 2t² - 3t) ← distribute parenthesis by - 1

= 3t³ - 4t + 6t² - 5t³ - 2t² + 3t ← collect like terms

= - 2t³ + 4t² - t

Answer: The new co-ordinates of A ( 2 ,-6)

Step-by-step explanation:

Type of transformation                                change to co-ordinate point

Vertical translation up 'd' units                  (x,y)→(x , y+d)

Vertical translation down 'd' units             (x,y)→(x , y-d)

Horizontal translation right 'c' units           (x,y)→(x+c , y)

Horizontal translation left 'c' units           (x,y)→(x-c , y)

Reflection over x-axis                               (x,y) →(x , -y)

Reflection over y-axis                               (x,y) →(-x , y)

Given the original vertex A ( -2 ,3)

a) First reflection over x-axis  ( -2 ,3) →(-2 , -3)

b) Vertical translation down '3' units  so it changes (-2 , -3)→(-2 , -3-3)

                        (-2,-3)→(-2 ,-6)

and

c) The Horizontal translation right '4' units

now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)

Final answer:-

The new co-ordinates of A ( 2 ,-6)

Answer:

How to Write 0.336 or 33.6% as a Fraction?

Decimal Fraction Percentage

0.352 44/125 35.2%

0.344 43/125 34.4%

0.336 42/125 33.6%

0.328 41/125 32.8%

Step-by-step explanation:

hope this helps

Answer:

123\1000

Step-by-step explanation:

so how do we do it so it gonna be 0.123 why because of the 7 Any number above 5 is changed to 1 significant figure

Answer:

the first answer y=-8/5x+19.4

Step-by-step explanation:

Please tell me if the answer is right and if it is right click on thanks i appreciate it

Here

cos25°=BC/AB=8/c

c=8/cos25°

so cos function is helpful here

really a dum.beannie

Answer:

b) cos25

c = 7.248 or 7.2

Step-by-step explanation:

Cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]

Cos 25 = [tex]\frac{8}{c}[/tex]

Cos of 25 is 0.906

0.906 = [tex]\frac{8}{c}[/tex]

Multiply 8 on both sides:

0.906 x 8 = [tex]\frac{8}{c}[/tex] x 8

7.248 = c

Answer:

exit ticket

1.) 6+8x

2.) 18+6x^5

homework module 4 lesson 6

1.) 78

2.) 61

3.) 24

Step-by-step explanation:

Answer:

x*2-80=35

Step-by-step explanation:

Answer:

here is an image of the answer and how I found it

Answer:

$7.07

Step-by-step explanation:

35.35/5=7.07

Answer:

20 times greater

Step-by-step explanation:

Given the following

Population of alaska = 6.5 * 10^(5) people

Population of illinois's = 1.3 * 10^(7)people.

To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;

Ratio = Population of illinois's /Population of alaska

Ratio = 1.3 * 10^(7)/6.5 * 10^(5)

Ratio = 0.2 * 10^7-5

Ratio = 0.2 * 10^2

Ratio = 20

Hence the population of Illinois is 20 times greater than population of alaska

Answer: 10 sacks are needed to make 40 square feet of concrete.

Step-by-step explanation: Hope this helps :)

Answer:

60

if its all of 60 the answer is 60

Step-by-step explanation:

have a great day

Answer:

Given distance=360 km.

Let the speed of the train be x km/hr.

Speed when increased by 5 km/hr =(x+5) km/hr

x

360

−

(x+5)

360

=1

x(x+5)

[360x+1800−360x]

=1

x

2

+5x−1800=0

x

2

+45x−40x−1800=0

x(x+45)−40(x+45)=0

(x−40)(x+45)=0

x=40,−45

The speed of the train is 40 km/hr.

Step-by-step explanation:

thanks... ☺️

Answer:

2 will give you the larger value of 17

Step-by-step explanation:

Answer:

swimmy is closest to sea level

Answer:

yes

Step-by-step explanation:

just plug in

2+3 is equal to 5 so that works

4(2)+13(3) is greater than 20 so that also works

Answer:

Yes

Step-by-step explanation:

I can explain more in-depth if you'd like, but basically plug in 2 where x is and plug in 3 where y is. The first equation would turn into 2 + 3 ≤ 5, which is correct, and the second equation would transform to 4(2) + 13(3) > 20. Multiply, then it'll be 8 + 39 > 20, then add 8 and 39 and it'll be 47 > 20, which is true. I hope I explained that well, but yes, (2, 3) is a solution :)

Answer:

45158

Step-by-step explanation:

Since the colony grows at a rate of 12%, after 2 years there will be [tex]36000\cdot 1.12^2 = 45158.4[/tex] bacteria. Since you probably can't have part of a bacteria, you round to 45158.

Answer:

45158

Step-by-step explanation:

Since the colony grows at a rate of 12°/• , after 2 years there will be 36000.

1.12 power of 2 = 45158.4 bacteria.

And you cant have part of a bacteria

you round it to

45158.

Answer:

a) [tex]17\cdot x -6[/tex], b) [tex]-45\cdot x +48[/tex], c) [tex]518\cdot x^{2} +1306\cdot x -1012[/tex], d) [tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex], e) [tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]

Step-by-step explanation:

Sean [tex]f(x) = 5\cdot x -14[/tex], [tex]g(x) = 12\cdot x + 8[/tex] y [tex]h(x) = 62\cdot x - 54[/tex]. A continuación, desarrollamos las siguientes operaciones:

a) [tex]f(x) + g(x)[/tex]

[tex](5\cdot x - 14) + (12\cdot x + 8)[/tex]

[tex]17\cdot x -6[/tex]

b) [tex]g(x) - [h(x)-f(x)][/tex]

[tex](12\cdot x + 8) - [(62\cdot x - 54)-(5\cdot x - 14)][/tex]

[tex]12\cdot x + 8 - (57\cdot x -40)[/tex]

[tex]12\cdot x +8 -57\cdot x +40[/tex]

[tex]-45\cdot x +48[/tex]

c) [tex][g(x)-f(x)]\cdot [h(x)+g(x)][/tex]

[tex][(12\cdot x + 8)-(5\cdot x -14)]\cdot [(62\cdot x -54)+(12\cdot x +8)][/tex]

[tex](12\cdot x +8 -5\cdot x +14) \cdot (62\cdot x -54+12\cdot x+8)[/tex]

[tex](7\cdot x +22)\cdot (74\cdot x-46)[/tex]

[tex]7\cdot x \cdot (74\cdot x - 46)+22\cdot (74\cdot x -46)[/tex]

[tex](7\cdot x)\cdot (74\cdot x) - 46\cdot (7\cdot x )+22\cdot (74\cdot x)-22\cdot (46)[/tex]

[tex]518\cdot x^{2}-322\cdot x +1628\cdot x -1012[/tex]

[tex]518\cdot x^{2} +1306\cdot x -1012[/tex]

d) [tex]\frac{f(x)-h(x)}{g(x) + f(x) }[/tex]

[tex]\frac{(5\cdot x - 14)-(62\cdot x - 54)}{(12\cdot x +8)+(5\cdot x -14)}[/tex]

[tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex]

e) [tex]\frac{g(x)}{h(x)}[/tex]

[tex]\frac{12\cdot x + 8}{62\cdot x - 54}[/tex]

[tex]\frac{4\cdot (3\cdot x +2)}{2\cdot (31\cdot x -27)}[/tex]

[tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]

Answer:

20,300

Step-by-step explanation:

Answer:

REGULAR ANSWER:20298

ESTIMATED ANSWER:20300

Answer:

y = 1.5, x = [tex]1\frac{12}{13}[/tex]

Step-by-step explanation:

The given simultaneous equation system is;

-1 - 2·y = -4...(1)

13·x + 2·y = 28...(2)

By elimination method, we have;

From equation (1);

-1 - 2·y = -4

2·y = 4 - 1 = 3

y = 3/2 = 1.5

y = 1.5

We eliminate 'y' from equation (2) by replacing the value of 'y' with 1.5 as follows;

13·x + 2·y = 28

y = 1.5

∴ 13·x + 2 × 1.5 = 28

13·x = 28 - 3 = 25

x = 25/13 = [tex]1\frac{12}{13}[/tex] = [tex]1.\overline{923076}[/tex]

x = [tex]1\frac{12}{13}[/tex]

Answer:

B.    y= x2 + 3

Step-by-step explanation:

Guided Practice

x

y

0

3

1

4

2

7

3

12

Write a function rule that best models the data in the table.

A.

y = x + 3

B.

y = 3x + 1

C.

y = x2 + 3