Which of the following represents the function graphed? F(x)=1/2 x f(x)=x f(x)= x+2

Answer:

x=5

Step-by-step explanation:

Only pay attention to one transversal at a time

two angles are congruent so

9x+12=13x-8

9x-13x=-8-12

-4x=-20

4x=20

x=5

(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means

[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]

The denominator remains unchanged, so

ax + b = -ax + b

Solve for a :

ax = -ax

2ax = 0

a = 0

(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)

So

[tex]f(x) = \dfrac{b}{x^2-c}[/tex]

(ii) Since

[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]

it follows that x - 2 must be a factor of the denominator. If that's true, then

x ² - c = (x - 2) (x - r )

for some other root r of x ² - c. Expanding the right side gives

x ² - c = x ² - (2 + r )x + 2r

so that

-(2 + r ) = 0   ===>   r = -2

2r = -c   ===>   -c = -4   ===>   c = 4

and so

[tex]f(x) = \dfrac{b}{x^2-4}[/tex]

(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives

[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]

so that

[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]

Then

-2b/9 = -2   ===>   b = 9

and we find that

[tex]f(x) = \dfrac{9}{x^2-4}[/tex]

Answer:

i think the first one but im not sure

im sorry if its wrong

Step-by-step explanation:

Answer:

$35

Step-by-step explanation:

first we need to find the amount of money the sweaters cost alone.

so we first subtract the total (160) - the skirt price (20) which is 140

now we divide it by 4 to find the price of each seater, as they all cost the same.

so 140 divided by 4 = 35

answer: $35

Answer:

Step-by-step explanation:

Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?

Let  p(x)=kpx+dp  and  q(x)=kqx+dq  than

f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7  

p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7  

(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)  

So you want:

−2kpk2q=0  

and

kpkq=−1  

and

2kpd2p−3kpdq+7=0  

Now I amfraid this doesn’t work as  −2kpk2q=0  that either  kp  or  kq  is zero but than their product can’t be anything but  0  not  −1 .

Answer: there are no such linear functions.

Answer:

Question 5 options: (4, 4) (1, 1) (3, 1) (10, 4)

Step-by-step explanation:

Answer:

hope it helps.....................

Answer:

28 words.

Step-by-step explanation:

You already know that he types at a rate of 14 words per minute.

To find how many words he types in 2 minutes, just multiply 14 by 2.

You get 28, which tells you how many words Reuben can type in 2 minutes.

Answer :

The answer is 28.

Answer:

100^9

Step-by-step explanation:

100 to the 9th power because 100^3 equals 1 million. think of it as (100^3)^3

Answer:

49.0?

Step-by-step explanation:

its probably wrong lol

I would say 50 meters

Answer:

y

Step-by-step explanation:

Answer:

1/5, 1/6, 1/7, 1/8,1/9, 1/10,1/11,1/12

Answer:

[tex]y=-0.3(x-2)^2+2[/tex]

Step-by-step explanation:

We know that the parabola faces downard, and hence must have a negative first term, so that eliminates the first and third options.

The vertex of the parabola has an x-value of 2, so it must be of the form [tex]a(x-3)^2+c[/tex].

Combining these, we have that the answer is [tex]\boxed{y=-0.3(x-2)^2+2}[/tex]

Answer: Therefore, the truck is 240 inches long.

Step-by-step explanation:

truck = 150 + 60% of 150

        = 150 + 60/100 * 150

        = 150+90

        = 240 inches

Answer: P = A/6

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A

Step-by-step explanation:

cause an exponent and be any number

Answer:

we cant see the picture

Step-by-step explanation:

9514 1404 393

Answer:

  -1/5

Step-by-step explanation:

To find the ratio of rise to run on a graph, it is convenient to start by looking for points where the graph crosses the intersection of grid lines. This lets you read the exact coordinates of the points, without any guessing.

In the attachment, the grid crossings we chose are circled.

The "rise" is the vertical distance between the points. If the right point is lower, the "rise" is negative.

The "run" is the horizontal distance between the points.

The reason for choosing grid crossings is that it then becomes fairly easy to count the grid lines between the points, vertically and horizontally.

On this graph, the "rise" is -1 for a "run" of 5. Then the slope, or ratio of rise to run, is ...

  m = rise/run = -1/5 . . . . . . slope of the line

Answer:

A goes with the sum of a number and 3

B goes with the product of 4 and a number

C goes with 2 less than a number

D goes with the quotient of 5 divided by a number

Step-by-step explanation:

Answer:

Step-by-step explanation:

4/(8/9)-(1/2)=4

The answer is D. (-160)÷8

The answer can t be a decimal therefore a and c are out. The answer has to be negative bc it was a lost. Therefore since -160 was a loss it has to be negative

Answer:

D

Step-by-step explanation:

Loss = -160

Shared between 8 owners.

So, (-160) ÷ 8

The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.

The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.

It is important to note that

a penny = $0.01

a dime = $0.10

a quarter = $0.25

Let's represent the number of

pennies = p

dimes = d

quarters = q

The number of pennies is equal to the  number of dimes, hence:

p = q, so we can represent the number of pennies and dimes as y

The box currently  contains 40 coins

So: 40 = y + y + q

q = 40 - 2y...........Equation 1

The total value of the coins is $8.05

So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2

We substitute 40 - 2y for q in Equation 2

0.01y + 0.1y + 0.25(40 - 2y) = 8.05

0.01y + 0.1y + 10 - 0.5y = 8.05

Collect like terms

0.01y + 0.1y - 0.5y = 8.05 - 10

-0.39y = -1.95

Divide both sides by -0.39

-0.39y/-0.39 = -1.95/0.39

y = 5

Since y represents the number of pennies and dimes,  the number of pennies is 5 and the number of quarters is 5.

To solve for the number quarters, we would use equation 1

q = 40 - 2y...........Equation 1

q = 40 - 2 x 5

q = 40 - 10

q = 30

The number of quarters is 30.

Therefore, we have 5 pennies, 5 dimes, and 30 quarters.

To learn more, visit the link below:

https://brainly.com/question/17573861

Answer:

I prefer A is the option that suits this question

Answer:

[tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : [tex]\pi 10^{2}[/tex] = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2[tex]\pi[/tex]10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = [tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth

Answer:

1 1/4

Step-by-step explanation:

3/4 times 2 1/3 you make that an omproper fractions

Answer:

PLEASE BRAINLIEST

Step-by-step explanation:

400-2a =332

400-332 =2a

2a=68

a=34

Answer:

3/3=1/1=1 is the slope

Step-by-step explanation:

the rise is 3 and the run is 3

Hope it helps!

Answer:

8n^2 + 26n + 6

Step-by-step explanation:

(4n + 1) (2n + 6)

8n^2 + 2n + 24n + 6

8n^2 + 26n + 6

Hopefully this helped!

Brainliest please?

Answer:

here

f= x^3/4 +6

to find f(4)

Step-by-step explanation:

f(4)= 4^3/4+6

=64/10

= 6.4