please answer correctly thanks​

Answer:

The x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.

Step-by-step explanation:

We have the function:

[tex]\displaystyle y=\frac{x^2 -1}{x}[/tex]

And we want to find the x-coordinates for which the gradient (or slope) at the point is 5.

The gradients of a curve at a point is given by its derivative. Find the derivative:

[tex]\displaystyle \frac{dy}{dx}=\frac{d}{dx}\left[\frac{x^2-1}{x}\right][/tex]

Use the quotient rule:

[tex]\displaystyle \frac{dy}{dx}=\frac{(x^2-1)'(x)-(x^2-1)(x)'}{(x)^2}[/tex]

Simplify:

[tex]\displaystyle \frac{dy}{dx}=\frac{(2x)(x)-(x^2-1)(1)}{x^2}[/tex]

Simplify:

[tex]\displaystyle \frac{dy}{dx}=\frac{x^2+1}{x^2}[/tex]

Since the gradient is 5, substitute 5 for dy/dx and solve for x:

Multiply both sides by x² (x ≠ 0):

[tex]5x^2=x^2+1[/tex]

Subtract x² from boths sides:

[tex]4x^2=1[/tex]

Solve for x:

[tex]\displaystyle x=\pm\sqrt{\frac{1}{4}}=\frac{1}{2}\text{ or } -\frac{1}{2}[/tex]

So, the x-coordinates for which the gradient of the curve is 5 is at x = -1/2 and x = 1/2.

Answer:

Step-by-step explanation:

the equation you write to solve this should be:

x = 900 (1 + 0.055)^7

x = 900 (1.055)^7

x = 900 (1.454679131133794609375)

x = 1,309.21

*** Note that the answer was rounded to the nearest hundredths digit. ********

Answer:

158 m^2

Step-by-step explanation:

l = 5 m, w = 3 m, h = 8 m

S.A. = [tex]2(lw+wh+lh)[/tex]

S.A. = 2{(5)(3) + (3)(8) + (5)(8)}

S.A. = 2(15 + 24 + 40)

S.A. = 2(79)

S.A. = 158 m^2

Hope this help!!!

Have a nice day!!!

Step-by-step explanation:

Domain: possible value of x

Range: possible values of y

Domain:

Given in the question

-1smaller or equal to x smaller or equal to 1

Range:

y is greater than 1, smaller than 3

[tex] \sqrt{ \frac{y - 1}{2} } = x \\ [/tex]

y cannot be smaller than 1

when substitute velue of x= 1 or negative 1

we get y=3 and any values between 1 and negative 1 when substitute in x, will give values of y in between 3 and 1.

first list all elements of x and y..

x= -1,0,1

y=2x^2+1

whenx=-1 y=2×-1^2+1=5

similarly, when x=0,y=1

x=1, y=5

therefore, domain=x={-1,0,1}

range=y={1,5}

Answer:

Equation of the circle :  

                      [tex](x+ 1)^2 + (y+4)^2 = 9[/tex]

Step-by-step explanation:

Equation of a circle with centre (a, b) and radius ,r :

[tex](x - a)^2 + (y-b)^2 = r^2[/tex] ------(1)

Here a = -1, b = -4

find radius:

Since the circle passes through (-1, -1) , the radius is the distance between the centre and the point.

[tex]distance, r = \sqrt{(-1 -(-1))^2 +(-4 -(-1))^2 }[/tex]

               [tex]= \sqrt{9} = 3[/tex]

Substitute the values in (1) :

             [tex](x - (-1))^2 + (y-(-4))^2 = 3^2\\\\(x+ 1)^2 + (y+4)^2 = 9[/tex]

Answer:

The answers for your question is 0.17

Answer:

10 / 12

simplified:

5/6

since 5 is a prime number, we can't simplify this ratio any further

Answer: B

Step-by-step explanation: If a quadrilateral is a parallelogram, then opposite sides are congruent and parallel, so this must be a parallelogram.

Answer:

x = y - 6

Step-by-step explanation:

y = x + 6 (Given)

y - 6 = x (Subtracted 6 on both sides)

Answer:

y = –1 + 3x

Step-by-step explanation:

To know which option is correct, we shall use the equation given in each option to see which will validate the table. This is illustrated below:

Option 1

y = –1x + 3

x = –2

y = –1(–2) + 3

y = 2 + 3

y = 5

This did not give the required value of y (i.e –7) in the table.

Option 2

y = 1 + 3x

x = –2

y = 1 + 3(–2)

y = 1 – 6

y = –5

This did not give the required value of y (i.e –7) in the table.

Option 3

y = –3 + 1x

x = –2

y = –3 + 1(–2)

y = –3 – 2

y = –5

This did not give the required value of y (i.e –7) in the table.

Option 4

y = –1 + 3x

x = –2

y = –1 + 3(–2)

y = –1 – 6

y = –7

This gives the required value of y (i.e –7) in the table.

Thus, the equation that matches the table is:

y = –1 + 3x

Answer:

45.60

Step-by-step explanation:

12 × 51.60 = 619.20

1804.80 - 619.20 = 1185.60

1185.60 ÷ 26 = 45.60

The cost of a ticket for a child will be 45.60 dollars

Answer:

33.6 seconds

Step-by-step explanation:

if he begins at 136 feet and wants to go to 42 feet, the distance is 94 feet

d = 94

r = 2.8

d = rt; solving this formula for 't':

t = d/r

t = 94/2.8

t = 33.6 seconds

Answer:

answer a and d

Step-by-step explanation:

one thing i could say it would not be C because if it were symetric, i already see 2 lines that are not symetrical in anyway

sure the graph could extend to infinity and negative infinity and if you see the right arrow, it is pointing down-wards, so if it goes bellow 0, point (0,0) would not be your expected number to see as the minimum

and between -1 and 1, yes, we can already see that the line from -1 and 1 is exponentially increasing

Answer:

good luck

Step-by-step explanation:

you will get answers after some time

Answer:

base 48

width 8 and length 6

pls brainliest. should work and you get points back

Answer:

512

Step-by-step explanation:

Answer:

[tex] \frac{7}{4} - \frac{3}{4} = \frac{4}{4} [/tex]

Step-by-step explanation:

To find the number midway between 3/2 and 4/2, add them up and divide by 2

we have, 3/2 + 4/2 = 7/2

7/2 ÷ 2 = 7/4

Repeat the same for the number midway between 1/2 and 2/2 to get 3/4

The answer then is, 7/4 - 3/4 = 4/4

Answer:

12m

7m

2520 m³

Step-by-step explanation:

Answer:

h=7m

top width=12m

v=l*w*h

=28*12*10=3360

volume of the top=3*20*12

720

v of the shape is= 3360-720

=2649

Answer:

6 1/4 simplified 25/4 decimal 6.25

Step-by-step explanation:

if the rope is 8 3/4 and you took away a piece that is equal to 2 1/2 which means you subtract them from each other to get your final answer of 6 1/4

Answer:Ping Pong Balls

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The LCM of 8 and 12 is 24. Find least common multiple (LCM) of: 16 & 24 4 & 6 24 & 36 40 & 60 56 & 84 16 & 12 8 & 24 24 & 12 8 & 36 40 & 12 8 & 60 56 & 12 8 & 84

Answer:

using brainly

Step-by-step explanation:

Answer:

waking up everyday and listening to them fuss about calling home even though im already home

Answer:

(f o g)(x) = 4x^4 - 24x^2 + 37

(g o f)(x) = 16x^4 + 8x^2 - 2

Step-by-step explanation:

f(x) = 4x^2 + 1

g(x) = x^2 - 3

(f o g)(x) = f(g(x)) = f(x^2 - 3) = 4(x^2 - 3)^2 + 1 =

= 4(x^4 - 6x^2 + 9) + 1

= 4x^4 - 24x^2 + 37

(g o f)(x) = g(f(x)) = g(4x^2 + 1) = (4x^2 + 1)^2 - 3 =

= 16x^4 + 8x^2 - 2

Answer:

Below

Step-by-step explanation:

The factors of 10 are 1, 2, 5, 10.

The factors of 25 are 1, 5, and 25.

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 50: 1, 2, 5, 10, 25, 50.

Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Answer:

17t+6q-6

Step-by-step explanation:

18t -t +6q-6​

Combine like terms

17t+6q-6

Answer:

17t+6q-6

Step-by-step explanation:

18t-t =17t

others don't change as they are not the factors of the same character

Answer:

19/3

Step-by-step explanation:

1 2/3 = (1*3 + 2)/3 = 5/3

3 4/5 = (5*3 + 4)/5 = (15 + 4)/5 = 19/5

5/3 * 19/5 = 19/3    The 5s cancel.

The simplest form is not obvious to me. I think the answer above is in simplest form, and I will put that below the answer above. But 6 1/3 is also possible.

Answer:

4 1/3

Step-by-step explanation:

1 [tex]\frac{2}{3}[/tex] × 3 [tex]\frac{4}{5}[/tex] =

[tex]\frac{5}{3}[/tex] × [tex]\frac{19}{5}[/tex] =

[tex]\frac{95}{15}[/tex] = 4 [tex]\frac{5}{15}[/tex] = 4 1/3

Answer:

I think you meant to add a list of answers but didn't so here's the characteristics of a plane: Flat, two dimensional, extends infinitely, and is assembled about multiple points and lines.

Step-by-step explanation:

Answer:

If you are taking the FLVS test it is "Two endpoints"

Step-by-step explanation:

Just took the test

hope it helps :)

Answer:

 40

Step-by-step explanation:

you mutiply then take away the 2 last digits

Answer:

Step-by-step explanation:

0.6*3t+0.8*4t=75

so t=15

apple=3t=45

orange=4t=60