Daniel bought a total of 8 pounds if peanuts and cashews. Peanuts, p, cost $2 per pound and cashews, c, cost $5 per pound. The total amount Dani spent on the peanuts and cashews was $25. Which system of equations could be solved to find how many pounds kf peanuts dani bought
A.{2p+5c=25
p+c=9

B.{5p+2c=25
p+c=8

C.{2p+5c=8
p+c=25

D.{2p=8
5c=25 ​

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

Answer: It is one-half the area of a rectangle with sides 2 units × 3 units.

It is twice the area of a square of side length 3 units.

It is one-half the area of a square of side length 3 units.

Step-by-step explanation:

Answer:

It is one-half the area of a rectangle with sides 2 units × 3 units.

Step-by-step explanation:

because the base of the triangle is connected in the "quadrilateral way" the base is one-half the rectangle and the units are 2x3 so therefore that answer is the correct one.

Answer:

60 cm^3

Step-by-step explanation:

The computation of the volume of the cuboid is given below:

let us assume the length be l

and b the breadth

So

l = b + 1

And, the perimeter is

2(l + b) = 18

2l + 2b = 18

2b + 2 + 2b = 18

b = 4

And l = 5

Now

2(l + b) × h = 54

2(5 + 4 ) × h = 54

h = 3

Now the volume of the cuboid is

= l × b × h

= 5 × 4 × 3

= 60 cm^3

Answer:

$6.89

Step-by-step explanation:

Answer:

6.89

Step-by-step explanation:

when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89

Answer:

2) 98/15 meters

21/5 + 7/3 = 63/15 + 35/15 = 98/15

3) 7/12 of the loaf

1/3 + 1/4 = 4/12 + 3/12 = 7/12

4) 19/8 inches

9/8 + 5/4 = 9/8 + 10/8 = 19/8

5) 73/6 cups

29/3 + 5/2 = 58/6 + 15/6 = 73/6

Let me know if this helps!

Answer:

its 4.00%

Step-by-step explanation:

Answer:

3x7

Step-by-step explanation:

7 + 7 + 7 is 3 x 7 because 7x3=21 and 7+7+7=21

Answer:

Step-by-step explanation:

b

Compute the first few derivatives to reveal a pattern:

f(x) = x sin(x)

f '(x) = x cos(x) + sin(x)

f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)

f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)

f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)

f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)

f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)

f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)

f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)

and so on.

The pattern should be clear: for some integer k,

• if n = 4k, then f ⁽ⁿ ⁾(x) = x sin(x) - n cos(x)

• if n = 4k + 1, then f ⁽ⁿ ⁾(x) = x cos(x) + n sin(x)

• if n = 4k + 2, then f ⁽ⁿ ⁾(x) = -x sin(x) + n cos(x)

• if n = 4k + 3, then f ⁽ⁿ ⁾(x) = -x cos(x) - n cos(x)

80 is a multiple of 4, so the 80th derivative falls in the first category. Then

f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

Answer:

11

Step-by-step explanation:

just flip the problem around 14+q=25

then do 25-14

Thats your Q

Answer:

The unknown is 44

Step-by-step explanation:

We need to solve for x in the proportion given by :

11 / 1 = x / 4

multiply both sides by 4 to isolate x

11 * 4 / 1 = x

x = 44

Answer:

x=6

Step-by-step explanation:

Answer:

Answer vary :

4 1/3

Step-by-step explanation:

Answer:

y = 150z + .25x

y = $ amount of rental

z = weeks rented

x = miles driven

i hope this helps :)

Answer:

11

Step-by-step explanation:

9514 1404 393

Answer:

  B.  6

Step-by-step explanation:

The longest chord of a circle is the diameter, twice the length of the radius.

  2(3 cm) = 6 cm

Answer:

B. 6

Step-by-step explanation:

A chord of a circle is a line segment where both endpoints land on the circumfrence of the circle. The longest chord would be at the diameter, which is 2r (2 x 3).

Hope this helps :)

Answer:

im sorry but id ont know

Step-by-step explanation:

Answer:

x is less than or equal to 3

Step-by-step explanation:

The dot is a closed dot, which means that it is something or equal to, and the arrow is pointing down, which means less than. So the sign would be less than or equal to (sorry I don't have that sign on my computer). The dot is on three, so the inequality is x is less than or equal to 3.

Answer:

26 bc it is equall

Step-by-step explanation:

Answer:

1  cup

Step-by-step explanation:

You divide 36 by 2 to see how many cookies can be made with 1 cup which is 18 so in this question its 1

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

Hope It Helps!

Answer Before defining the inverse of a function we need to have the right mental image of function.

Consider the function f(x) = 2x + 1. We know how to evaluate f at 3, f(3) = 2*3 + 1 = 7. In this section it helps to think of f as transforming a 3 into a 7, and f transforms a 5 into an 11, etc.

Now that we think of f as "acting on" numbers and transforming them, we can define the inverse of f as the function that "undoes" what f did. In other words, the inverse of f needs to take 7 back to 3, and take -3 back to -2, etc.

Let g(x) = (x - 1)/2. Then g(7) = 3, g(-3) = -2, and g(11) = 5, so g seems to be undoing what f did, at least for these three values. To prove that g is the inverse of f we must show that this is true for any value of x in the domain of f. In other words, g must take f(x) back to x for all values of x in the domain of f. So, g(f(x)) = x must hold for all x in the domain of f. The way to check this condition is to see that the formula for g(f(x)) simplifies to x.

g(f(x)) = g(2x + 1) = (2x + 1 -1)/2 = 2x/2 = x.

This simplification shows that if we choose any number and let f act it, then applying g to the result recovers our original number. We also need to see that this process works in reverse, or that f also undoes what g does.

f(g(x)) = f((x - 1)/2) = 2(x - 1)/2 + 1 = x - 1 + 1 = x.

Letting f-1 denote the inverse of f, we have just shown that g = f-1.

Definition:

Let f and g be two functions. If

f(g(x)) = x and g(f(x)) = x,

then g is the inverse of f and f is the inverse of g.

Exercise 1:

Return to Contents

Finding Inverses

Example 1. First consider a simple example f(x) = 3x + 2.

The graph of f is a line with slope 3, so it passes the horizontal line test and does have an inverse.

There are two steps required to evaluate f at a number x. First we multiply x by 3, then we add 2.

Thinking of the inverse function as undoing what f did, we must undo these steps in reverse order.

The steps required to evaluate f-1 are to first undo the adding of 2 by subtracting 2. Then we undo multiplication by 3 by dividing by 3.

Therefore, f-1(x) = (x - 2)/3.

Steps for finding the inverse of a function f.

Replace f(x) by y in the equation describing the function.

Interchange x and y. In other words, replace every x by a y and vice versa.

Solve for y.

Replace y by f-1(x).

Example 2.  f(x) = 6 - x/2

Step 1 y = 6 - x/2.

Step 2 x = 6 - y/2.

Step 3 x = 6 - y/2.

y/2 = 6 - x.

y = 12 - 2x.

Step 4 f-1(x) = 12 - 2x.

Step 2 often confuses students. We could omit step 2, and solve for x instead of y, but then we would end up with a formula in y instead of x. The formula would be the same, but the variable would be different. To avoid this we simply interchange the roles of x and y before we solve.

Example 3.  f(x) = x3 + 2

This is the function we worked with in Exercise 1. From its graph (shown above) we see that it does have an inverse. (In fact, its inverse was given in Exercise 1.)

Step 1 y = x3 + 2.

Step 2 x = y3 + 2.

Step 3 x - 2 = y3.

(x - 2)^(1/3) = y.

Step 4 f-1(x) = (x - 2)^(1/3).

Exercise 3:

Graph f(x) = 1 - 2x3 to see that it does have an inverse. Find f-1(x). Answer

Step-by-step explanation:

pls brain list

x=2

y=6  

x and yt are different variables

Answer:

999

Step-by-step explanation:

[tex]log(x)=y\\x=10^y\\log(x+1)=3\\x+1=10^3\\x=999[/tex]

Answer:

Step-by-step explanation:

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-[-4]}{-11-[-2]}\\\\=\frac{-7+4}{-11+2}\\\\=\frac{-3}{-9}\\\\=\frac{1}{3}[/tex]

Answer:

0.193

Step-by-step explanation:

Answer:

hgb hfgb,rnvjdfjvfnvjfvjfjgv

Step-by-step explanation:

Step-by-step explanation:

[tex]15 = - 5x + 10 \\ - 5x = 15 - 10 \\ - 5x = 5 \\ x = \frac{5}{ - 5} \\ x = - 1 \\ thank \: you[/tex]