Suppose that the functions q and r are defined as follows.
q(x) = -x-1
r(x) = 2x² – 2
Find the following.
(q*r)(-5) =
(r*q) (-5) =​

Answer:

14:23

Step-by-step explanation:

14:23

Answer:

its 14-23

Step-by-step explanation:

(a) Applying T to p(t) = 2 - t + t ² gives

T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³

(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,

T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )

Let

p(t) = α₀ + α₁ t + α₂ t ²

q(t) = β₀ + β₁ t + β₂ t ²

Compute the images of p and q :

T ( p(t) ) = (t - 2) (α₀ + α₁ t + α₂ t ²)

… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³

Similarly,

T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³

Then

a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³)

… = c₀ + c₁ t + c₂ t ² + c₃ t ³

where

c₀ = -2 (a α₀ + b β₀)

c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)

c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)

c₃ = a α₂ + b β₂

Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.

(c) Find the image of each vector in the basis for P₂ :

T (1) = (t - 2) × 1 = t - 2

T (t ) = (t - 2) t = t ² - 2t

T (t ²) = (t - 2) t ² = t ³ - 2t ²

Then

[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]

Answer:

liner

Step-by-step explanation:

Answer:

B. -8+10

Step-by-step explanation: keep the -8 change - sign to +sign then change -10 to 10 .

Hope it helps :)

Answer:

angle RQS

Step-by-step explanation:

Answer:

C is the answer

Step-by-step explanation:

Somehow this was in my test last week , lol

Answer:

[tex]y = -4\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]16-(3-4y) = 2(y+2)[/tex]

Distribute.

[tex]16 - 3 + 4y = 2y + 4[/tex]

Combine like terms.

[tex]13 + 4y = 2y + 4[/tex]

Subtract [tex]2y[/tex] from both sides.

[tex]13 + 2y = 4[/tex]

Subtract 13 from both sides.

[tex]2y = -9[/tex]

Divide both sides by 2.

[tex]y = -4\frac{1}{2}[/tex]

I hope this helps!

Answer:

11/4

29/6

32/5

Step-by-step explanation:

Answer: 11/4, 29/6, 32/5

Step-by-step explanation:

This is going to help trust me

Answer:

how bad do u need this answer 1 through 10

Answer:

42.25

Step-by-step explanation:

Answer:

[tex]\frac{169}{4}[/tex] or 42.25

Step-by-step explanation:

If you turn the fractions into decimals they become easier to multiply.

1)  3.25 x 6.50 = 21.25

2) 21.25 x 2 = 42.25

Answer:

this is only 15points but ok

Step-by-step explanation:

answer: D)

Answer:

The answer should be 15.

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex]  as the product of square roots. [tex]\sqrt{5^{2} }[/tex]   [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].

[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.

[tex]\sqrt[15]{5}[/tex]

Answer:

174

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

13 away

i used my fingers

Answer:

12

Step-by-step explanation:

-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4

Just count he bottom lines

Answer:

The slope of this equation is 11/2. The point is (1/2, 0)

Step-by-step explanation:

I hope this is the right answer, good luck!

Answer: B.12 years

Step-by-step explanation:

Answer:

1.) 5              2.) 10.58

Step-by-step explanation:

For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.

So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5

and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)

Answer:

James is 37, Rob is 44, and Kate is 35

Step-by-step explanation:

Set up an equation where x is James' age:

Rob's age can be represented by x + 7, since he is 7 years older than James

Kate's age can be represented by x - 2, since she is 2 years younger than James

Add these together in the equation and set it equal to 116:

(x + 7) + (x - 2) + (x) = 116

Add like terms and solve for x:

(x + 7) + (x - 2) + (x) = 116

3x + 5 = 116

3x = 111

x = 37

So, James is 37.

Find Rob's age by adding 7 to this:

37 + 7

= 44

Find Kate's age by subtracting 2:

37 - 2

= 35

So, James is 37, Rob is 44, and Kate is 35

Answer:

Rob = 44

Kate = 35

James = 37

Step-by-step explanation:

Rob = 44     which is 7 years older than James

Kate = 35     which is 2 years younger than James

James = 37

Answer:

944 cubic feet

Step-by-step explanation:

You need to take the area of the figure separately.

[tex]8*10*5=400[/tex]

[tex]17*8*4=544[/tex]

400 + 544 =944

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because the points are going up by 10 :)

Answer:

you're scale is 1.6666667

Step-by-step explanation:

because if you do 30 decided by 18 it gives u 1.6666667

Answer: a is equal to b

Step-by-step explanation:

Answer:

a is parallel to b

Step-by-step explanation:

Answer:

HOW T.F DO YOU NOT

Step-by-step explanation:

-5/12+3

2 7/12

UST CAUSE

Answer: -5/4

Step-by-step explanation:

Answer:

20,since each kilo of rice fills two bags so he i'll have 40 bags.

X=22

14 plus 8 gives you x

[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:

35

Step-by-step explanation:

Answer:

 [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Step-by-step explanation:

Explanation

Given function f(r) = r² log r  ....(i)

Apply derivatives formula

              [tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]

             [tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]

            [tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]

Differentiating equation (i) with respective to 'r' , we get

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]

Final answer:-                

               [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Answer:

over 1,593

Step-by-step explanation:

if there was already 1,593 Ronalds in the McDonalds the McDonalds can most likely fit over that amount