Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 8x 16 (k ∘ p)(x) = 2x2 − 16x 32 (k ∘ p)(x) = 2x2 − 16x 25 (k ∘ p)(x) = 2x2 − 11.

Answer:

60 ounces

Step-by-step explanation:

there are 16 ounces in a pound plus the extra 4 ounces times 3 is 60 ounces in total

Answer:

Ms. Red can do 25 more push ups than Ms. Lopez.

Step-by-step explanation:

25 x 2 = 50.

50 is how many Ms. Red can do.

50-25= 25.

Answer:

56%

Step-by-step explanation:

This is percentage increase and its calculated with the formula:

C2 =     x2 - x1      x 100

              x1                1

where x2 = final value  (75 inches)

        x1  = initial value  (48 inches)

       c2 = relative value

pecentage increase = 100

   so we say,       75 - 48  x   100

                                48          1

27    x    100

48                          =  o.5625 x 100  = 56.25%.

approximated to the nearest percent becomes 56%

Answer: 9

Step-by-step explanation: Root 18 can be broken down into root ( 9 times 2). 9 is a square root & can be taken out as its root. Root 18 equals 3 times root 2. Multiple both 12/root & 3 root 2 by root 2. Leaves 12 + 3 times 2 or 18. Now gotta take that root 2 we multiplied by back out. Break 18 into its parts, 9 times 2. Divide the 2 by root 2, gives you root 2. So 9 times root 2. Don't have to divide 9 as well, because they all the same type of operation, multiplication/division, no adding.

The horizontal velocity of the cannonball is released at an angle of 20˚ at a velocity of 12m/s is 11.276 m/s.

Velocity is the rate of change of position with respect to time. It is a scalar quantity.

We know that the velocity is a scalar quantity therefore, it can be divided into two components such that the first component is the vertical component which is equal to the (V sinθ), while the other component is the horizontal component(V cosθ), where V is the velocity and θ is the angle of the velocity from the positive x-axis.

Now, in order to calculate the horizontal velocity of the cannonball we can write,

[tex]\rm V_x = V\ Cos\theta[/tex]

[tex]V_x = 12 (Cos\ 20^o)\\\\V_x = 11.276\rm\ m/s[/tex]

Hence, the horizontal velocity of the cannonball is released at an angle of 20˚ at a velocity of 12m/s is 11.276 m/s.

Learn more about Velocity:

https://brainly.com/question/862972

1)

y = x + 4

5x + 3y = -4

5x + 3(x + 4) = -4

5x + 3x + 12 = -4

8x + 12 = -4

8x = -4 -12

8x = -16

x = -2

substitute x into the equation

y = -2 + 4

y = 2

Answers : x = -2 , y = 2

Answer:

1) [tex]{y,x}={2,-2}[/tex]

2) [tex]{y,x} = {-4,-2}[/tex]

Step-by-step explanation:

1) [tex]y=x+4 \\ 5x+3y=-4[/tex] <---------- given linear equations

Equations Simplified or Rearranged :

[tex]y - x = 4 \\3y + 5x = -4[/tex]

Graphic Representation of the Equations : PICTURE #1

[tex]x + y = 4 \\5x + 3y = -4[/tex]

Solve by Substitution :

// Solve equation [1] for the variable  y

[tex][1] y = x + 4[/tex]

// Plug this in for variable  y  in equation [2]

[tex]3*(x +4) + 5x = -4 \\ [2] 8x = -16[/tex]

// Solve equation [2] for the variable  x

[tex]8x = - 16 x = - 2[/tex]

// By now we know this much :

[tex]y = x+4\\ x = -2[/tex]

// Use the  x  value to solve for  y

[tex]y = (-2)+4 = 2[/tex]

Solution :

[tex]{y,x} = {2,-2}[/tex]

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

2) [tex]y=2x \\-8x-2y=24[/tex] <----- linear equations given

Equations Simplified or Rearranged :

[tex]y - 2x = 0 \\ -2y - 8x = 24[/tex]

Graphic Representation of the Equations : PICTURE #2

[tex]-2x + y = 0 \\\\-8x - 2y = 24[/tex]

Solve by Substitution :

// Solve equation [1] for the variable  y

[tex][1] y = 2x[/tex]

// Plug this in for variable  y  in equation [2]

[tex][2] -2*(2x) - 8x = 24\\ [2] - 12x = 24[/tex]

// Solve equation [2] for the variable  x

[tex][2] 12x = - 24 [2] x = - 2[/tex]

// By now we know this much :

[tex]y = 2x \\ x = -2[/tex]

// Use the  x  value to solve for  y

[tex]y = 2(-2) = -4[/tex]

Solution :

[tex]{y,x} = {-4,-2}[/tex]

Answer:

g.c.f = 3g²

Step-by-step explanation:

Breakdown:

3g² → 3 * g * g

9g³ → 3 * 3 * g * g * g

Therefore the gcf is 3g²

Answer:

y = 3x + 60

Step-by-step explanation:

Answer:

-0.06

Step-by-step explanation:

Answer:

Step-by-step explanation:

The constant is 6

Hope this helps!

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]

where a and b are the parallel sides (bases) and h is the height

Therefore,

[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]

If the price of sod is $12 per square meter, then

total cost = 135 x 12 = $1620

Answer:

Area:-

[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(15+12)\times 10=1/2(27)(10)=13.5(10)=135m^2[/tex]

Now rate of cost is $12

Answer:

[tex]\sqrt{51}[/tex] or 7.14

Step-by-step explanation:

Using the Pythagoras theorem, we can conclude the formula that we are going to use here is [tex]a^{2}+b^{2} = c^{2}[/tex]

As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or [tex]c[/tex]

Now we need to find [tex]b[/tex] in the formula of [tex]a^{2}+b^{2} = c^{2}[/tex] making the equation [tex]b^{2} = c^{2} - a^{2}[/tex] or [tex]b = \sqrt{ c^{2} - a^{2}}[/tex]

Given the provided information, this would be [tex]b^{2} = 10^{2} - 7^{2}[/tex] or [tex]b = \sqrt{ 10^{2} - 7^{2}}[/tex]

Simplifying it would be [tex]b = \sqrt{ 100-49[/tex] = [tex]\sqrt{51}[/tex]

The radical form would be [tex]\sqrt{51}[/tex]

While it's integer would be 7.14

Hope this helps!

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Let the third side =x

base² + altitude² = hypotenuse²

7² + x² = 10²

49 + x² = 100

       x² = 100 - 49

      x² = 51

     x = √51

Answer:

FOR PLATO USERS

The answer is D. g(x) = f(1/2x)

Step-by-step explanation:

A graph with f(x) = x^2 starts at point zero, just like the picture shown below, so we can only predict that the new function was stretched horizontally. The parent function, f(x) = x^2, has the following points

[tex]\left[\begin{array}{ccc}x&&y\\1&&1\\2&&4\end{array}\right][/tex]

terrible table i know (pretend its a table chart) but these are the points of a normal f(x) graph. The points of the NEW graph is:

[tex]\left[\begin{array}{ccc}x&&y\\2&&1\\4&&4\end{array}\right][/tex]

It appears that the x values in the parent function table are half of the x values in the new graph table. So, the new function would be

[tex]g(x)=f(\frac{1}{2} x)[/tex]

#platolivesmatter

Answer:

4d+3

Step-by-step explanation:

Combine the like terms 3d + d which is 4d and 5 - 2 is 3, keep the addition symbol, and you will get 4d+3

The answer is 4d+3

(3d+5)(d-2)

you add 3d+1d=4d

You now subtract 5-2=3 (since the higher absolute value is +5, your answer will be +3, not -3)

=4d+3 :)

Answer:the answer is d

Step-by-step explanation:

d is correct

Answer: is b

Step-by-step explanation:

Answer:

graph

Step-by-step explanation:

You would start at -2 then you would go down 3 and right 1, and then you keep doing it until you have no more graph.

Answer:

A,B,D

Step-by-step explanation:

case A) If the price is marked down by  percent, the new price will be

we know that

If the price is marked down by 10  percent

then the new price will be

10%= 10/100=0.10

(1 - 0.10) *$28= 0.90 * $28

=$25.20

therefore The statement case A) is True

case B) If the price is marked down by 25 percent, the new price will be $21

we know that

If the price is marked down by 25 percent

then the new price will be

25%=25/100=0.25

(1-0.25)* $28=0.75*$28

=$21

therefore The statement case B) is True

case C) If the price is marked down by 50 percent, the new price will be $19 we know that

If the price is marked down by 50 percent

then the new price will be

50%=50/100=0.50

(1-0.50)*$28= 0.50*$28

=14

therefore The statement case C) is False

case D) If the price is marked down by  35 percent, the new price will be $18.20

we know that

If the price is marked down by 35 percent

then the new price will be

35%= 35/100=0.35

(1-0.35)* $28=0.65*$28

=18.20

therefore The statement case D) is True

case E) If the price is marked down by 40 percent, the new price will be $29.80 we know that

If the price is marked down by 40 percent

then the new price will be

40%=40/100=0.40

(1-0.40)*$28= 0.60*$28

=$16.80

therefore The statement case E) is False

10.....

thats all you can simplify out of it

Answer: In terms, it would be false when solved it 248 = 10

Step-by-step explanation:

When you multiply 62 and 4 you will get 248

When you add 3 and 7 you will get 10

Obviously [tex]248\neq 10[/tex] so this equation can't be simplified and it's false

Answer:

*

Step-by-step explanation:

Pattern A: is adding 2 dots each time

Pattern B: is going up 1,2,3,4 (adding that amount each time)

Pattern C: Times by 3 each time

Answer:

x⁴-3

Step-by-step explanation:

A= L * W

9x⁵-27x = 9x * L

9x(x⁴-3)= 9x * L

L = [9x(x⁴-3)] / 9x

L= x⁴ -3

Solution:

Note that:

Find the speed of her bike of both the days and compare.

This means that:

Hence, the day after Monday is the day, she rode her bike faster than on Monday.

Answer:

The next day

Step-by-step explanation:

she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.

This is wrong because the difference of x and 4.5 that is (x- 4.5) is negative two times that is -2(x -4.5). Then the correct option is C.

BODMAS rule means for the Bracket, Order, Division, Multiplication, Addition, and Subtraction.

Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4. 5. " She translated it as shown below.

[tex]\rm 6 x = -2 x - 4. 5[/tex]

This is wrong because the difference of x and 4.5 that is (x- 4.5) is negative two times that is -2(x -4.5).

Thus, She should have used parentheses to show that Negative 2 is multiplied by (x minus 4. 5). Then the correct option is C.

More about the BODMAS rule link is given below.

https://brainly.com/question/24383445

Answer/Step-by-step explanation:

[1] [tex]3rs = 3 * r *s[/tex]

[2] [tex]12xy = 2*2*3*x*y[/tex]

[3] [tex]5x^2=5*x*x[/tex]              

[4] [tex]36x^2=2*2*3*3*x*x[/tex]

[5] [tex]25^2=5*5*x*x[/tex]

[6] [tex]30x^2=2*3*5*x*x[/tex]

[7] [tex]5x^3=5*x*x*x[/tex]

[8] [tex]24y^3=2*2*2*3*y*y*y[/tex]

[9] [tex]9xy=3*3*x*y[/tex]

[10] [tex]12x^4=2*2*3*x*x*x*x[/tex]

Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.

[tex][RevyBreeze][/tex]

Answer:

[1] 3*r*s

[2] 12ry=2*2*x*y

[3]  5x2=5*x*x            

[4] 36x2=2*2*3*3*x*x

(5] 252=5*5*x*x

[6] 30x2=2*3*5*x*x

[7] 5x3=5*x*x*x

[8] 24y3=2*2*2*3*y*y*y

[9]9xy=3*3*x*y

[10] 12x4= 2*2*3*x*x*x*x

Step-by-step explanation:

Answer:

(i just use app sorry if I'm wrong)

Answer:

2850

Step-by-step explanation:

The order of the steps to solve the provided logarithmic equation is arranged as,

[tex](x^2 - 15) =(2x)[/tex]

[tex]x^2 +2x-15=0[/tex]

[tex](x-5)(x+3)=0[/tex]

[tex]x-5=0,x+3=0[/tex]

Potential solution are -3 and 5.

The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.

When the base is common ion equality equation, then the two log values can be compares using exponent rule of logarithm.

The given logarithmic equation in the problem is,

[tex]\log(x^2 - 15) = \log(2x)[/tex]

The order of solution of the above expression,

As the base is common, then the two log values can be compares using  exponent rule of logarithm.

[tex](x^2 - 15) =(2x)[/tex]

Bring all the terms, one side of the expression as,

[tex]x^2 +2x-15=0[/tex]

Find the factors of the above quadratic equation using the split the middle term method as,

[tex]x^2 -5x+3x-15=0\\x(x-5)+3(x-5)=0\\(x-5)(x+3)=0[/tex]

Equate the factors to the zero to find out the values of x,

[tex]x-5=0,x+3=0[/tex]

The potential solution are,

[tex]x=5,-3[/tex]

Thus, the order of the steps to solve the provided logarithmic equation is arranged as,

[tex](x^2 - 15) =(2x)[/tex]

[tex]x^2 +2x-15=0[/tex]

[tex](x-5)(x+3)=0[/tex]

[tex]x-5=0,x+3=0[/tex]

Potential solution are -3 and 5.

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114

Answer:

D.

Step-by-step explanation:

Use the TOA from SOH CAH TOA.

Your tan(C) is opposite (12) divided by adjacent (5).

Answer:

the explanation is in the diagram

if you noticed I multiplied the second equation all through by minus so the positive 9 turned negative when multiplied by minus so negative 14 + negative 9 gives negative 23

Step-by-step explanation:

32-2y=22

y=5 because 32 minus 10 is 22 and 2y is 10

7x + 3y= 105

same as

7x + 15 = 105

7x = 90

X = 90/7

X = 12.8571429

X+y= 17.8571429

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