[tex] {x }^{2} = {16}^{x} [/tex]
find the value of x.
show working please.​

Given:

The function is:

[tex]f(x)=\dfrac{2x}{x+4}[/tex]

To find:

The vertical and horizontal asymptotes of the given function.

Solution:

We have,

[tex]f(x)=\dfrac{2x}{x+4}[/tex]

For vertical asymptotes, equate the denominator and 0.

[tex]x+4=0[/tex]

[tex]x+4-4=0-4[/tex]

[tex]x=-4[/tex]

So, the vertical asymptote of the given function is [tex]x=-4[/tex].

The degree of the numerator is 1 and the degree of the denominator is also 1.

Since the degrees of numerator and denominator are equal, therefore the horizontal asymptote is:

[tex]y=\dfrac{a}{b}[/tex]

Where, a is the leading coefficient of numerator and b is the leading coefficient of denominator.

Leading coefficient of numerator is 2 and the leading coefficient of denominator is 1, so the horizontal asymptote is:

[tex]y=\dfrac{2}{1}[/tex]

[tex]y=2[/tex]

Therefore, the correct option is C.

The area of the triangle is (A) [tex]73.6ft^{2}[/tex].

Area = [tex]\frac{1}{2}[/tex] × [tex]a[/tex] × [tex]b[/tex] × [tex]sin[/tex] (θ)

Now, out the values in the formula for the solution.

[tex]A=\frac{1}{2} (16)(10)sin(67^{o} )\\A= 80sin(67^{o} )\\[/tex]

[tex]A=73.6ft^{2}[/tex]

Therefore, the area of the given triangle is (A) [tex]73.6ft^{2}[/tex].

Know more about the area of triangles here:

https://brainly.com/question/17335144

#SPJ2

Answer:

336π square millimeters

Answer:

A

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

When x = -11, x^2 = 121. y = 121 - 6 = 115.

Hope this helped,

~cloud

Answer:

115

Step-by-step explanation:

y = x^2 - 6

Let x = -11

y = (-11)^2 - 6

y = (121) -6

   = 115

Answer:

210 Km

Step-by-step explanation:

Distance travelled is calculated as

distance = speed × time ( time is in hours )

              = 90 × 2 [tex]\frac{1}{3}[/tex]

             = 90 × [tex]\frac{7}{3}[/tex]

            = 30 × 7

            = 210 Km

Answer:

She has 5 candles left.

Step-by-step explanation:

Total of candy Sarah has = 25candies

If Sarah gave 2/5 of the candies to her sister, the total amount she gave her sister will be 2/5 of 25

2/5 of 25 = 10

The remaining candy left will be 25-10 which is 15.

If she gave 2/3 of the amount left to her friend, the amount she gave her friend will be 2/3×15 = 10candies.

Answer:

The answer is x = 1800

Step-by-step explanation:

Hope this helps :)

Have a nice day.

I think there's an error with this question. Mind to check it back and tell me the detail?

Hello,

Your answer would be right side of the graph

Please mark as brainiest

The peak in the data would likely be the right side of the graph.

The distribution of a data set when displayed on a dot plot is said to be skewed left (left skewed) when most of the data appear on the right side of the graph. This means, the highest scores are on the right while the lowest values of the variable are on the left side of the graph (in order words, tapers towards the left of the graph). See the image labelled A in the attachment below.

Also, for a data set distribution that is skewed right (right skewed), most of the data appear on the left side of the graph. It will have a tail tapering to the right. See the image labelled A in the attachment below.

Therefore, for data set that ranges between 50 and 90, and the distribution is skewed left, the peak in the data would be to the right of the graph.

Learn more about skewness of a data set here:

https://brainly.com/question/3252860

Answer:

-4/5

Step-by-step explanation:

2/5 ÷ -1/2

Copy dot flip

2/5 * -2/1

-4/5

Answer:

Your is answer would be choice C which is : 32 cm

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

x+5=7

Subtract 5 from each side

x+5-5=7-5

x =2

Answer:

2

Step-by-step explanation:

x + 5 = 7

=> x = 7 - 5

=> x = 2

Step-by-step explanation:

Let ABCD be the parallelogram with ∠A = ∠B.  

We know: Sum of adjacent angles = 180°  

∠A + ∠B = 180º  

2∠A = 180º (∠A = ∠B)  

∠A = 90º  

∠B = ∠A = 90º  

∠C = ∠A = 90º (Opposite angles)  

∠D = ∠B = 90º (Opposite angles)  

Thus, each angle of the parallelogram measures 90º

Answer:

All 4 angles are 90 degrees.

Step-by-step explanation:

The measure of 2 adjacent angles in a parallelogram add up to 180 degrees.

If they have equal measure then they are both 90 degrees.

As it is a parallelogram:-

the measure of each angle is 90 degrees.

Answer:

1. 496 ft, 2. 126 mm, 3. 880 in, 4 168 cm, 5. 960m, 6. 42

Step-by-step explanation:

SA= Surface area, and surface area is A=2(w×l+h×l+h×w) and volume is V=w×h×l

W=width

H=height

L=length

Answer:

1. SA=58

2. SA=48

3. SA=78

4. V=168

5. V=960

6 V=420

Step-by-step explanation:

on 1-3 you are looking for the surface area and in order to look for the surface area of a rectangle prism it is 2(height)x2(lenght)x2(width). so you just plug in the number height is how tall the shape is, length is how long the shape is and width is hpw far the shape goes back. then you multiply the H, L, W by 2 and the you add all of the numbers and boom you get your answer.

Now for the Volume you just multiply the heigh x length x width and boom you answer

Complete question is;

In mountaineering, in general, the higher you go, the colder it gets. This formula shows how the heights and temperatures are related.

Temperature drop (°C) = height increase(m)/200

A) If the temperature at a height of 500 m is 23°C, what will it be when you climb to 1300 m

B) How far would you need to climb to experience a temperature drop of 5°C

Answer:

A) 19°C

B) 1500 m

Step-by-step explanation:

A) We are told that the temperature is at a height of 500 m is 23°C, now we want to find the temperature when height increases to 1300 m.

Thus, it means;

Height increase = 1300 - 500 = 800 m

Thus, from the formula;

Temperature drop (°C) = height increase(m)/200, we have;

Temperature drop (°C) = 800/200 = 4°C

Now,since Initial temperature was 23°C, thus temperature at this increased height ; 23°C - 4°C = 19°C

B) for a temperature drop of 5°C, we have;

5°C = height increase(m)/200

Height increase = 200 × 5

Height increase = 1000 m

Thus, you will need to climb; 500 + 1000 = 1500 m

Answer:

x = 6

Step-by-step explanation:

we can multiply the entire equation by 3 to simplify the numbers

-2x + 27 = 4x - 9

27 = 6x - 9

36 = 6x

x = 6

Given:

The expressions are:

[tex]\dfrac{7}{5}y[/tex]

[tex]0.68y[/tex]

[tex]\dfrac{3}{5}y[/tex]

[tex]1.32y[/tex]

To find:

The equivalent expression to the given expressions.

Solution:

There can be more than one equivalent expressions to the given expression.

[tex]\dfrac{7}{5}y=1.4y[/tex]

Therefore, [tex]1.4y[/tex] is equivalent to [tex]\dfrac{7}{5}y[/tex].

[tex]0.68y=\dfrac{68}{100}y[/tex]

[tex]0.68y=\dfrac{17}{25}y[/tex]

Therefore, [tex]\dfrac{17}{25}y[/tex] is equivalent to [tex]0.68y[/tex].

[tex]\dfrac{3}{5}y=0.6y[/tex]

Therefore, [tex]0.6y[/tex] is equivalent to [tex]\dfrac{3}{5}y[/tex].

[tex]1.32y=\dfrac{132}{100}y[/tex]

[tex]1.32y=\dfrac{33}{25}y[/tex]

Therefore, [tex]\dfrac{33}{25}y[/tex] is equivalent to [tex]1.32y[/tex].

Answer:

24 + 8i

Step-by-step explanation:

t = 4

u = 6 + 2i

t x u

= 4 ( 6 + 2i )

= 24 + 8i

Answer:

24+8i

Step-by-step explanation:

i took the test

Answer:

TC = 5x -10

Step-by-step explanation:

Answer:

5d-10=C

Step-by-step explanation:

Because 5 friends are out to dinner so the cost of one meal is multiplied by five. Then you subtract 10 off the total for your answer, which is represented by the variable c

Given:

A figure.

To find:

The pair of vertical angles.

Solution:

If two lines intersect each other, then they form 4 disjoint angles at the intersection point. From these 4 angles the alternative angles are known as vertical angles or vertically opposite angles.

In the given figure, the line TW and line SV intersect each other at R. So, the pair of vertical angles is [tex]\angle WRS[/tex] and [tex]\angle VRT[/tex].

Therefore, the correct option is B.

∠WRS and ∠VRT are vertically opposite angles

Vertical angles are a pair of opposite angles formed by intersecting lines. They are formed when two lines meet. This angles are vertically opposite each other.

Vertically opposite angles are equal or congruent.

Therefore,

∠WRS and ∠VRT are vertically opposite angles

learn more on vertical angles here: https://brainly.com/question/17065398

Answer:

f(3)=g(3)

Step-by-step explanation:

In this graph, the x (horizontal axis) represents the input and the y (vertical axis) represents the output. We know this because a function of x (f(x) and g(x) are two examples here) takes in x as the input, and y is the only variable left to be the output.

The question is asking when the two functions are equal based on the possible answers. First, we have to locate the point where the two lines meet, as depicted by the black dot in the picture. To find the x value of this, we can draw a vertical line (the light blue one I drew in the picture) and find where it meets the x axis (the horizontal one). This lines up with x=3. Similarly, for the y value, we can draw a horizontal line (the light green one) and find where it meets the y axis (the vertical one). This is when y=6.

Therefore, our functions are equal when x=3 and y=6. This means that f(3) = 6 and g(3)=6, and f(3)=6=g(3)

Answer:

b,c,d

Step-by-step explanation:

a ≤ 10  would have a closed circle at 10

b x+10 <15  x < 10  correct  open circle line going to left

c x < 10 correct  open circle line going to left

d 0 > x-10  10 > x    x < 10  correct  open circle line going to left

e  2 > x-11 13 > x   would have open circle at 13

The open circle tells us that the sign is only less than/greater than, not less than/greater than or equal to. That immediately rules out A.

Now, we can see that this is a less than inequality, because the arrow is pointing to the left, toward the negative numbers. And, the inequality covers every number that is less than 10.

A - Incorrect, less than or equal to

B - Correct, when solved = x < 10

C - Correct

D - Correct, when solved = x < 10

E - Incorrect, when solved = x < 13

Hope this helps!

Answer:

20

Step-by-step explanation:

The mean score for the women = 15.6

Sum of score for the women = 15.6*10 = 156

The mean score for the children = 9.2

Sum of score for the children = 9.2 * 10 = 92

The mean score for all 40 people = 11.2

Sum of the score of 40 people = 11.2 *40 = 448

Sum of the score for 20 men = 448 - 92 - 156 = 200

Mean of the score for the men = 200÷ 20 =20

Answer:

hope it helps

Step-by-step explanation::

a) Consider a body having initial velocity 'u'. Suppose it is subjected to a uniform acceleration 'a' so that after time 't' its final velocity becomes 'v'. Now, from the definition of acceleration we know that:  

Acceleration =  Time taken  Change in velocity  or Acceleration =  time taken

                Final velocity- Initial velocity    

So, a=  t v−u

​ at=v−u  and, v=u + at  

where v= final velocity of the body

u= initial velocity of the body

a= acceleration

and t= time taken  

(b) Initial velocity, u=54km/h=15m/s

Final velocity, v=0m/s

Time, t=8s

Acceleration, a=?

a=  t v−u

​  =  8 0−15

​  =  8 −15 ​  m/s  2

=−1.875m/s  2

Answer:

D. 7/8 pound

Step-by-step explanation:

1/2+1/4+1/8=7/8

7/8 pound of dried fruit will be put into the cookies in all.

Answer:

f(g(x)) = x² - 2x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f(g(x))

= f(x - 1)

= (x - 1)² ← expand using FOIL

= x² - 2x + 1

Answer:

[tex]\sf \boxed{\sf y = -x^2-x +2 }[/tex]

Step-by-step explanation:

A graph of the quadratic function is given to us and by using the Zeroes , we need to write the function . From the graph , we can sew that , it cuts the x axis on (-2,0) and (1,0) .

Hence , x = -2 and 1 are the zeroes of the function .

In general if we have [tex]\alpha[/tex] and [tex]\beta[/tex] as the zeroes of the function , then the quadratic function is given by ,

[tex]\sf\longrightarrow\gray{ f(x) = (x -\alpha )(x-\beta) }[/tex]

Here the zeroes are -2 and 1 , on substituting the respective values in the formula , we have ,

[tex]\sf\longrightarrow f(x) = \{ x -(-2)\} ( x -1) [/tex]

Simplify inside the curly brackets ,

[tex]\sf\longrightarrow f(x) = ( x +2)(x-1) [/tex]

Multiply the two terms ,

[tex]\sf\longrightarrow f(x) = x ( x -1)+2(x-1) [/tex]

Simplify the brackets ,

[tex]\sf\longrightarrow f(x) = x^2-x +2x -2 [/tex]

Add the constants and the variables ,

[tex]\sf\longrightarrow f(x) = x^2+x -2 [/tex]

When the constant of the function is (-1),

[tex]\sf\longrightarrow\boxed{\blue{\sf y = -x^2-x+2}} [/tex]

Hence the equation of the function is y = -x² -x + 2 .

Answer:

the answer is " y=-3x^2-3x+6"

Step-by-step explanation:

i just took the test

Step-by-step explanation:

here's an answer for thee

Answer:

See below & picture.

Step-by-step explanation:

First, graph the given point, (2, 3).

Now use the slope to find two other points on the graph. The slope is -3/4. Start at (2, 3). Go down 3 and right 4. That is another point. Go back to point (2, 3). Using the slope, go left 4 and up 3. That is another point. Now draw a line through those three points. See the picture below.

see your answer is given in the image...