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pshichka [43]
3 years ago
14

Mr. Kent buys a car and pays by installments. Each installment is $827. If he still has to pay $325 after 72 installments, how m

uch does the car cost?
Mathematics
1 answer:
jeka943 years ago
3 0

Answer:

$59,869

Step-by-step explanation:

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Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
kaheart [24]

Answer:

\large\boxed{x\in[-5,\ \infty)}

Step-by-step explanation:

f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.

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3 years ago
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7. Holly plays pool on Sundays. She pays $6.50 for admission and $3.50 for
ollegr [7]

Answer:

3.50x+6.50=y

Step-by-step explanation:

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2 years ago
Please help; I'll give brainliest for the first person who answers <3
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m puq

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3 years ago
The sales tax on an item selling for $20 is 3% What is the total
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Answer: $20.60

Step-by-step explanation:

20 × 3% = .60

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Try this hard Math Problem if you dare!!
Dennis_Churaev [7]

Answer:

a. (x - 3)^2 + 16

b. 8(x -7)^2

c. (a^2 - 1)(7x - 6) or (a+1)(a-1)(7x-6)

d. (x^2-4)(x^2+3) or (x-2)(x+2)(x^2+3)

e. (a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})

Step-by-step explanation:

a.\ (x + 1)^2 - 8(x - 1) + 16

Expand

(x + 1)(x + 1) - 8(x - 1) + 16

Open brackets

x^2 + x + x + 1 - 8x + 8 + 16

x^2 + 2x + 1 - 8x + 24

Collect Like Terms

x^2 + 2x - 8x+ 1  + 24

x^2 - 6x+ 25

Express 25 as 9 + 16

x^2 - 6x+ 9 + 16

Factorize:

x^2 - 3x - 3x + 9 + 16

x(x -3)-3(x - 3) + 16

(x - 3)(x - 3) + 16

(x - 3)^2 + 16

b.\ 8(x - 3)^2 - 64(x-3) + 128

Expand

8(x - 3)(x - 3) - 64(x-3) + 128

8(x^2 - 6x+ 9) - 64(x-3) + 128

Open Brackets

8x^2 - 48x+ 72 - 64x+192 + 128

Collect Like Terms

8x^2 - 48x - 64x+192 + 128+ 72

8x^2 -112x+392

Factorize

8(x^2 -14x+49)

Expand the expression in bracket

8(x^2 -7x-7x+49)

Factorize:

8(x(x -7)-7(x-7))

8((x -7)(x-7))

8(x -7)^2

c.\ 7a^2x - 6a^2 - 7x + 6

Factorize

a^2(7x - 6) -1( 7x - 6)

(a^2 - 1)(7x - 6)

The answer can be in this form of further expanded as follows:

(a^2 - 1^2)(7x - 6)

Apply difference of two squares

(a+1)(a-1)(7x-6)

d.\ x^4 - x^2 - 12

Express x^4 as x^2

(x^2)^2 - x^2 - 12

Expand

(x^2)^2 +3x^2- 4x^2 - 12

x^2(x^2+3) -4(x^2+3)

(x^2-4)(x^2+3)

The answer can be in this form of further expanded as follows:

(x^2-2^2)(x^2+3)

Apply difference of two squares

(x-2)(x+2)(x^2+3)

e.\ a^{4n} -b^{4n}

Represent as squares

(a^{2n})^2 -(b^{2n})^2

Apply difference of two squares

(a^{2n} -b^{2n})(a^{2n} +b^{2n})

Represent as squares

((a^{n})^2 -(b^{n})^2)(a^{2n} +b^{2n})

Apply difference of two squares

(a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})

6 0
3 years ago
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