2 years ago

I need help in this question

Mathematics

1 answer:

AlladinOne [14]2 years ago

6 0

Answer:

I am not entirely sure but The maximum is 500 and b $0.50

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Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x − 2? 3x2 − x − 10 3x2 − 10

never [62]

A = L * W
L = 3x + 5
W = x - 2

A = (3x + 5)(x - 2)
A = 3x(x - 2) + 5(x - 2)
A = 3x^2 - 6x + 5x - 10
A = 3x^2 - x - 10 <====

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3 years ago

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Determine whether the two questions are equivalent. If so, name the property that is applied. 54 - (30 - 8) and (54-30) - 8

Sphinxa [80]

Answer:

The two equations are not equivalent and no property is used.

Step-by-step explanation:

54 - (30 - 8) ... (i)

(54 - 30) - 8 ... (ii)

Solving (i) and applying PEMDAS:

We open the brackets first;

54 - 30 + 8 = 54 + 8 - 30 = 32

Solving (ii) and applying PEMDAS:

We open the brackets first;

54 - 30 = 24

24 - 8 = 16

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3 years ago

What is the simplest form of 60 : 120?

KIM [24]

Answer:

1 : 2

Step-by-step explanation:

60 is 60 x <em>1,</em> and 120 is 60 x <em>2</em>

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3 years ago

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Interval is 0, 2pi) 4 sin^2x-4 sin x + 1 = 0

svetoff [14.1K]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}$

Step-by-step explanation:

$4\sin^2x-4\sin x+1=0\\\\2^2\sin^2x-2(2\sin x)(1)+1^2=0\\\\(2\sin x)^2-2(2\sin x)(1)+1^2=0\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(2\sin x-1)^2=0\iff2\ain x-1=0\qquad\text{add 1 to both sides}\\\\2\sin x=1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}$

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4 years ago

The sum of the first 15 terms of an arithmetic series

ale4655 [162]

Answer:

d=4

Step-by-step explanation:

SUM OF 15 terms = 615

T5 = 53

T5 = a+(n-1)d

53 = a + 4d

4d = 53 - a

d = (53-a)/4

S15 = 15/2 (2a+14d) =615

15/2 [2a + 14×(53-a)/4 ]

=15/2 [ 2a +(53×14 - 14a )/4 ]

=15/2 [ (8a +742 - 14a ) /4]

615×8 = 15(-6a +742)

-6a+72=615×8/15 =41

-6a+72=42

-6a = - 72 + 42 = -30

a = 30/6= 5

a = 5

T5 = 5 + 4×d = 53

4d= 53 - 5 = 48

4d=48

d=4

Common difference is 4

7 0

2 years ago