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4 years ago

Will mark brainliest if right and show your work...

Mathematics

1 answer:

skelet666 [1.2K]4 years ago

5 0

(9x^4-13x^3-x-7)+(7x^3-2x+1)

Sort the terms by their powers, as x's with the same powers can be added together:

9x^4

-13x^3 + 7x^3 = -6x^3

-x - 2x = -3x

-7 +1 = -6

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Maria is saving money to buy a bike. She has $42 and is going to save an additional $ 7 each week. The bike costs $133. In how m

Lostsunrise [7]

Answer:

Maria will have enough money to buy the bike in 13 weeks.

Step-by-step explanation:

w = weeks

42 + 7w = 133

take away 42 frim each side

7w = 91

divide each side by 7

w = 13

5 0

3 years ago

Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)

DENIUS [597]

Compute the necessary values/derivatives of $f(x)$ at $x=1$ :

$f(1)=3$

$f'(1)=2$

$f''(1)=-12$

$f'''(1)=-12$

$f^{(4)}(1)=48$

$f^{(5)}(1)=120$

Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) $f(x)$ at $x=1$ by

$T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5$

$T_5(x)=3+2(x-1)-6(x-1)^2-2(x-1)^3+2(x-1)^4+(x-1)^5$

###

Another way of doing this would be to solve for the coefficients $a,b,c,d,e,g$ in

$f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5$

by expanding the right hand side and matching up terms with the same power of $x$ .

5 0

3 years ago

6. Which shape has a larger area: a rectangle that is 7 inches by inch, or a square with

RoseWind [281]

Answer:

Rectangle = L x b = 7 x 7 = 49 inch^2

square = a^2 = 2^2=4 inch^2

Therefore the area of rectangle is more because it's area is greater than square

rectangle 's area > square's area.

5 0

4 years ago

Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre

anygoal [31]

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

$\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}$

Simplify. Write in Scientific Notation

2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

$8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}$

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

... = 15x² +12x – 5x –4

... = 15x² +7x -4

4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

-24 = -1×24 = -2×12 = -3×8 = -4×6

The last pair of factors adds to give 2. Now we can write

... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives

... (2x -1)(4x +3) . . . . . the factorization you require

8 0

3 years ago

For each 8 mm of coloured fabric Peter uses to make his curtains, he also uses 1.5 cm of white fabric. Express the amount of whi

Ksenya-84 [330]

Answer:

1.5cm : 8mm

Step-by-step explanation:

The problem asks us to express the amount of white fabric to colored fabric as a ratio. Since it asks to find white fabric to colored fabric, that is the same order we should put it in for our answer.

1.5cm : 8mm

↑ ↑ ↑

(white) (to) (colored)

This is your final answer!

Hope this helps! Let me know if you have any other questions. :)

3 0

4 years ago