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2 years ago

14

the product of five consecutive odd integers is 945 what is the greatest possible value of any of these integers

1 answer:

Troyanec [42]2 years ago

4 0

If 945 is the product of 5 CONSECUTIVE ODD numbers, let's find the prime factors of 945:

945 = 5 x 7 x 27 , but we need 5 odd numbers:

945= 5 x 7 x ( 3 x 9 ) we still need one factor. This factor cannot be but 1

945 = 1 x 3 x 5 x 7 x 9 = 945 and the greatest value of these integers is 9

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Which of the algebraic expressions are linear expressions? Select two answers.

cupoosta [38]

Answer:

Option A and Option E

Step-by-step explanation:

By definition linear expressions have the following form:

$ax ^ n + b$

where

$n= 0$ or $n=1$

To answer the question, identify among the options the expressions that have this form:

Option A.

$-9y$

Where $a =-9$ and $b=0$ and $n=1$

Option E.

$-\frac{4}{5}x+\frac{3}{8}$

Where $a=-\frac{4}{5}$ and $b=\frac{4}{5}$ and $n=1$

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2 years ago

What is the center of a circle whose equation is x2 y2 – 12x – 2y 12 = 0? (–12, –2) (–6, –1) (6, 1) (12, 2)

lora16 [44]

The center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)

<h3>Equation of a circle</h3>

The standard equation of a circle is expressed as:

x^2 + y^2 + 2gx + 2fy + c = 0

where:

(-g, -f) is the centre of the circle

Given the equations

x^2 +y^2 – 12x – 2y +12 = 0

Compare

2gx = -12x

g = -6

Simiarly

-2y = 2fy

f = -1

Centre = (6, 1)

Hence the center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)

Learn more on equation of a circle here: brainly.com/question/1506955

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1 year ago

What value for c will make the expression a perfect square trinomial? X^2-7x+c

gavmur [86]

Answer: c= 49/4

Step-by-step explanation:

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2 years ago

A painter leans a 12-foot ladder against a house. The base of the ladder is

tatiyna

11.3 feet.

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2 years ago

The Mayors of two small towns that adjoin a large community have engaged in an argument on which of their cities is safer, with

Lelu [443]

Answer:

1. City A: 150 violent crimes per 100,000 residents.

City B: 161 violent crimes per 100,000 residents.

2. City A

Step-by-step explanation:

City A:

Population = 123,000

Violent crimes = 185

Violent crimes per 100,000 people:

$V_{100k} = \frac{185*100,000}{123,000} \\V_{100k} = 150$

City B:

Population = 84,000

Violent crimes = 135

Violent crimes per 100,000 people:

$V_{100k} = \frac{135*100,000}{84,000} \\V_{100k} = 161$

1. City A: 150 violent crimes per 100,000 residents.

City B: 161 violent crimes per 100,000 residents.

2. Even though it has a bigger number of crimes, City A has the lowest crime rate since its population is larger.

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2 years ago