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2 years ago

The product of two consecutive odd integers is 195. Write an equation to model the situation.

Mathematics

2 answers:

quester [9]2 years ago

7 0

X(x+2)= 195 that is the correct equation

dybincka [34]2 years ago

6 0

Answer:

x(x+2) = 195

Step-by-step explanation:

Since, the difference between the consecutive odd integers is 2,

That is,

If small integer = x,

Then the larger integer = x + 2

Where, x and x + 2 are consecutive odd integers,

Product of x and x + 2 = x (x + 2)

According to the question,

x(x+2) = 195

Which is the required equation.

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Represent each of these temperatures in degrees Fahrenheit with a positive or negative number.

Anuta_ua [19.1K]

5 degrees above is 5°F
3 degrees below is -3°F
6 degrees above is 6°F
2 3/4 below is -2.74°F

5 0

2 years ago

The value of a car with an initial purchase price of $15,250 depreciates by 16% per year. How much is the car worth after 6 year

Scrat [10]

Answer:

$13842.43

Step-by-step explanation:

Given data

Value of car=$15,250

Rate of depreciation= 16%

Time = 6 years

We can use the exponential function below to model the value of the car after 6 years

v(t)= a(r)^x

But r= 1-0.016----------Because the value is depreciating

a=15,250

r=0.016

x=6

Substitute

v(t)= 15250(1-0.016)^6

v(t)= 15250(0.984)^6

v(t)= 15250*0.9077

v(t)= $13842.43

Hence the value will be $13842.43 after 6 years

8 0

2 years ago

Using a pair of compass only construct a triangle ABC such that AB=9cm, angle BAC=60° and angle ABC=45°

Leto [7]

Answer:

AC=5.4 BC=7.2

Step-by-step explanation

180-60-45=75 degree

9/75=AC/45=BC/60

6 0

2 years ago

Any help please? For extra credit

Law Incorporation [45]

Answer:

see explanation

Step-by-step explanation:

(a)

A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.

Here d = - 4 , then recursive formula is

$a_{n}$ = $a_{n-1}$ - 4 with a₁ = 2

(b)

The explicit formula for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 4, thus

$a_{n}$ = 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula

(c)

Using the recursive formula

a₁ = 2

a₂ = 2 - 4 = - 2

a₃ = - 2 - 4 = - 6

Using the explicit formula

a₅ = 6 - 4(5) = 6 - 20 = - 14

a₁₀ = 6 - 4(10) = 6 - 40 = - 34

a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394

4 0

2 years ago

Let a, b, c and x elements in the group G. In each of the following solve for x in terms of a, b, and c.

Nezavi [6.7K]

Answer:

$x=c.a^{-1}.b^{-1}$

Step-by-step explanation:

Given equation,

$axb = c-----(1)$

$(axb) ( a^{-1}.b^{-1} ) = c.(a^{-1}b{-1})$

$(xb)(a)(a^{-1}.b^{-1} ) = c.(a^{-1}b{-1})$ ( commutative law of multiplication )

$(xb)(a.a^{-1}).b^{-1} = c.a^{-1}b{-1}$ ( Associative property )

$(xb).e.b^{-1} = c.a^{-1}b{-1}$

$(xb).b^{-1}=c.a^{-1}.b^{-1}$ ( identity property )

$x.(b.b^{-1})=c.a^{-1}.b^{-1}$ ( Associative property )

$x.e=c.a^{-1}.b^{-1}$

$x=c.a^{-1}.b^{-1}$ ( identity property )

5 0

3 years ago