Find the length of segment FG.

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

Step-by-step explanation:

A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph

Answer:

36

Step-by-step explanation:

Conjugate of z = -3-5i

Therefore the expression is equivalent to (-3+5i)(-3-5i).

(-3+5i)(-3-5i)

=(-3)^2-(5i)^2

=9-(-25)

=36

Answer:

z (the conjugate of z) = 34

Answer:

a: 36

b: 32

Step-by-step explanation:

Lizard views: 4

Since Ferret has 9 times as much as Lizard views, you can multiply it by 9:

4 x 9 = 36 views

To find the difference, subtract Ferret views with Lizard views:

36 - 4 = 32 views

Answer:

7x=7

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

6/15=.4 move the decimal 2 spots to the right to get percentage :)

Answer:

40 cm is 8% of 5 m

Step-by-step explanation:

40 cm / 5m

= 40cm / 500cm

= 4/50

= 2/25

= 8%

Answer:

168 feet

Step-by-step explanation:

area of trapezoid = length (a)+ breadth(b) / 2 height

Exponential Function.

[tex]y = {a}^{x} \: \: (a > 0) \: \: (a≠1)[/tex]

Also the shown graph is a decreasing graph.

[tex]y = {a}^{x} \: \: (0 < a < 1)[/tex]

The equation above is the equation of the graph that is shown in the picture.

Answer:

(-1,5)

Step-by-step explanation:

-4-(-3)=1

8-3=5

Answer:

gradient = 9

Step-by-step explanation:

The gradient of the tangent at x = a is the derivative [tex]\frac{dy}{dx}[/tex]

Differentiate using the power rule on each term

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0

y = 2x² + 5x - 3

[tex]\frac{dy}{dx}[/tex] = 2.2[tex]x^{2-1}[/tex] + 5[tex]x^{1-1}[/tex] - 0

    = 4x + 5

[tex]\frac{dy}{dx}[/tex] ( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent

Answer:

55 special dinners

Step-by-step explanation:

From the question,

Last month rudys tacos sold 22 dinner specials.

The next month they sold 250% of last months dinners.

Hence:

250% × 22 special dinners

= 55 special dinners

The number of dinner specials they sold this month is 55 special dinners

Answer:

The Slope is 3/2

Step-by-step explanation:

Hope this helps

Answer:

The value of x is also 16 because It is saying that the angles ABC are the same as FGH. Therefore, the angles are the same, so the number is the same.

Step-by-step explanation:

Answer:

I think 16? I am not really sure but I learned this long ago and I think the value of X is 16. If this didn't help I am sorry :(

Step-by-step explanation:

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

Answer:

x is equal to thirty-two.

Step-by-step explanation:

x(x - 32) = 0

x² - 32x = 0

x - 32 = 0

x = 32

Answer:

2/7

Step-by-step explanation:

on Saturday, the family drove 2/7 of the total distance

distance remaining after Saturday's trip = 1 - 2/ 7 = 5/7

On Sunday, they drove 2/5 of the remaining distance = [tex]\frac{2}{5} x \frac{5}{7} = \frac{2}{7}[/tex]

Answer:

$25

Step-by-step explanation:

18.75 is 75% of a value. You can easily find the answer by dividing 18.75 and 0.75.

When you have a problem like x*5=30, you divide 30/5 to get 6. Same here, x*0.75=18.75. Divide 18.75/0.75 to get the answer.

Answer:

25 dollars

Step-by-step explanation:

please give the other person a brainliest bc they actually explained it really well

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

Answer:

D) (-7/2 , 3/2)

Step-by-step explanation:

(x1+x2/2), (y1+y2/2)

(-6-1/2),(5-2/2)

(-7/2),(3/2)

Answer:

[tex]2x+y=11[/tex]

Step-by-step explanation:

Standard form of an equation is written as [tex]ax+by=c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex].

Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Plugging in all given values in the problem ([tex]m=-2[/tex], [tex]x=4[/tex], and [tex]y=3[/tex]), we can solve for [tex]b[/tex]:

[tex]3=-2(4)=b, \\b=11[/tex].

Therefore, our equation in slope-intercept form is:

[tex]y=-2x+11[/tex].

Rewriting in this in standard form, we get our answer:

[tex]\fbox{$2x+y=11$}[/tex]

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

I dont understand 2/5 of 50

İf 50.2/5

[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]

İf 2/5 /50

[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]

Answer:

3 i think..

Step-by-step explanation:

lol  i just added and then multiplied then divided..

Answer: 10ft

Step-by-step explanation:

The pole and the distance between the rope and pole make this appear as though it is a right angled triangle which means that one should be able to calculate the length of the rope by using the Pythagorean rule where:

c² = a² + b²

a = height of right angle triangle

b = length of right angle triangle

c = hypotenuse (length of rope)

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10 ft

Length of rope = 10ft

Answer: B: 0 < a < 1

Step-by-step explanation:

The equation we have is:

f(x) = a^(x + h) + k.

k is the value at where we have the horizontal line. In this particular case, we can see that we have a horizontal line at y = -4, then we can conclude that:

k ≈ -4

a is the rate of growth. If a is positive and greater than 1, we would have an increasing function, for example with a = 2, k = 0 and h = 0 we have:

2^1 = 2

2^2 =4

2^3 = 8

This is an increasing function.

Now if a is greater than 0 and smaller than 1, we have a decreasing function (as seen in the graph). For example for a = 0.5, k = 0 and h = 0 we have:

0.5^1 = 0.5

0.5^2 = 0.25

0.5^3 = 0.125

This is a decreasing function.

Then the correct option is B, 0 < a < 1

Answer:

its b

Step-by-step explanation:

a p e x

slope = 4

y intercept = 0

====================================================

Explanation:

Two points on this line are (8,32) and (12,48)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (48-32)/(12-8)

m = 16/4

m = 4

The slope is 4.

Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b

y = mx+b

32 = 4*8+b

32 = 32+b

32-32 = 32+b-32 ... subtract 32 from both sides

0 = b

b = 0

------------------

We found that m = 4 is the slope and b = 0 is the y intercept

We go from y = mx+b to y = 4x+0, which simplifies to y = 4x

In short: the y coordinate is 4 times that of the x coordinate.

For instance, if x = 16, then

y = 4x = 4*16 = 64

Which leads to the point (16,64)

Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.

Answer:

y = 4x

Step-by-step explanation:

The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]

~~~~~~~~~~

(8, 32)

(12, 48)

(16, 64)

k = 32 ÷ 8 = 4

y = 4x