Please help;
Find a, R, and T.

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:

(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:

$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:

A

Step-by-step explanation:

cause an exponent and be any number

Answer:

24

Step-by-step explanation:

12 per half hour means 24 per hour

Answer:

2r+1

Step-by-step explanation:

-5r-8+9+7r= (-5r+7r)+(-8+9)

Solve:

2r+1

Hope this helps!

Answer:

[tex]2r+1[/tex]

Step-by-step explanation:

[tex]-5r-8+9+7r[/tex]

Combine like terms:

________________________

Answer:192 cookies

Step-by-step explanation:

8•24=192

Answer:

3 5 6 2 8

Step-by-step explanation:

Answer:

9x-y = 5

Step-by-step explanation:

Equation of line in slope intercept form:

y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)

y-31 = 9*(x-4)

y-31 = 9x-36

9x-y = 36-31

9x-y = 5

Answer:

this is my answer

a< -12

hope it helps

Answer:

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

Step-by-step explanation:

Answer:

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

Answer:

49 all you have to do is add 10 to 39

Answer:

500

Step-by-step explanation:

4 times 10 equal 40

5 times 20 equals 100

12 times 30 equals 360

360

+ 100

40

________

500

Answer:

$223,600

Step-by-step explanation:

1. Multiply 520000 by 0.19 and get an answer of 98800. This is how much by which the car depreciates every year.

2. Now multiply 98800 by 3 (years). Now your answer would be 296400.

3. Now minus the depreciated value from the original value which is 520000-296400=223600.

Not sure about the answer but I hope this helped a bit

Answer:

$3,567.00

Step-by-step explanation:

Here is how I got it!

First, you will have to borrow the 520,000 from the word problem.

Next, multiply 520,000 with 0.19 with the power of 3

[tex]520,000*0.19^3=n[/tex]

The 3 is the number of years, n is the nearest $ answer.

--

First, do [tex]0.19^3[/tex]

[tex]0.19*0.19*0.19=0.006859[/tex]

(Again, that's a crazy number!)

--

With 0.006859, multiply it with 520,000

[tex]520,000*0.006859=3566.68[/tex]

3566.68 is technically (in money) $3,566.68 (with .68 being sixty-eight cents).

--

Finally, it states to answer to the nearest $.

Just round up the .68 to 1 dollar which will just add one more dollar to 3,566

[tex]3,566.32[/tex] ⇒ [tex]3,567.00[/tex] (since .32 is below .50, you can't round it UP)

Add you $ symbol

With the result being: $3,567.00

Answer:

6

Step-by-step explanation:

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:

-24

Step-by-step explanation:

I took the test

Answer:

-24

Step-by-step explanation:

this is correct, i took the test in k12

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:

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:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0        or,      y-8=0

y=-5                      y=8

When y=-5,

x=3-y

3--5

3+5

8

When y=8,

x=3-y

3-8

-5

Answer: 2

Step-by-step explanation:

5-3=2

30-5=15

If three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

it is given that there are a total of 30 puzzle pieces three out of 5 are red, and the remaining are black.

From the given condition,

(3/5) of total puzzle pieces = Number of red puzzle pieces

(3/5) × 30 = Number of red puzzle pieces

Number of red puzzle pieces = 18

Total puzzle pieces = Red puzzle pieces + Black puzzle pieces

30 = 18 + Black puzzle pieces

Black puzzle pieces = 30-18

Black puzzle pieces =12

Thus, if three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

Answer:

its B

Step-by-step explanation:

trust me i just got it

Answer:

-53

Step-by-step explanation:

f°g = f(g(x))     Remember this because this notation is less confusing for you.

Step 1. Plug g(x) in all values of x in the function f(x).

f(g(x)) = -2(-4x+3) -7

Step 2. Distribute the -2

-2(-4x+3) = 8x -6

f(g(x)) = 8x-6-7

Step 3. Simplify by subtracting -6 - 7

f(g(x)) = 8x-13

Step 4. Plug in -5 for x

8(-5) - 13 = -40 - 13 = -53

Answer:

PLEASE BRAINLIEST

Step-by-step explanation:

400-2a =332

400-332 =2a

2a=68

a=34

yes it's correct............

Answer:

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