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2 years ago

The coefficient in the term 7xy is

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

5 0

Answer:

The coefficient is 7

Step-by-step explanation:

The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.

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2 years ago

Find f (g(-3)) given f (x) = 3x2 - 4 and g(x) = 1 3 A) -3 B)-11/3 C)-1 D)11/3

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2 years ago

Find the product and sum of the roots of the equation: 3x^2-10=0

cluponka [151]

● 3x^2 - 10 = 0

Add 10 to both sides

● 3x^2 - 10 + 10 = 10

● 3x^2 = 10

Divide both sides by 3

● 3x^2/3 = 10/3

● x^2 = 10/3

● x = √( 10/3 ) or x = - √( 10/3 )

● √(10/3) + (-√(10/3)) = 0

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2 years ago

When originally purchased, a vehicle costing $23,000 had an estimated useful life of 8 years and an estimated salvage value of $

earnstyle [38]

The correct answer is:

$5,000.

Explanation:

When it is first purchased, the depreciation expense is calculated using the formula:

$\text{Depreciation expense}=\frac{\text{Cost}-\text{Salvage Value}}{\text{Useful Life}}$

The cost was $23,000; the salvage value was $3,000; and the useful life was 8 years:

$\text{Depreciation Expense}=\frac{23000-3000}{8}=\frac{20000}{8}= \$2500$

This means the value of the vehicle depreciates $2500 per year.

After 4 years, the vehicle would depreciate 2500(4) = $10,000.

This makes the new value $23000-$10000 = $13000.

Reevaluating the depreciation expense at this point, we use $13000 for the "cost" (current value), $3000 is still the salvage value, and now the total useful life was 6; we take 4 off of this, since it has already been 4 years:

$\text{Depreciation Expense}=\frac{13000-3000}{6-4}=\frac{10000}{2}= \$5000$

The depreciation expense in year 5 is $5,000.

6 0

2 years ago

Read 2 more answers

a 1 =− 3 1 a, start subscript, 1, end subscript, equals, minus, start fraction, 1, divided by, 3, end fraction a i = a i − 1

MrRa [10]

Answer:

$S_{75}=-506.888989761$ X 10^{32}$

Step-by-step explanation:

Given the sequence

$a_1=-\dfrac{1}{3}\\ a_i=a_{i-1}\cdot (-3)$

$a_2=a_{2-1}\cdot (-3)=a_1 \cdot (-3) = -\dfrac{1}{3}\cdot (-3)=1\\a_3=a_{3-1}\cdot (-3)=a_2 \cdot (-3) = 1 \cdot (-3)=-3\\a_4=a_{4-1}\cdot (-3)=a_3 \cdot (-3) = -3 \cdot (-3)=9\\$

Therefore the sequence is:

$-\dfrac{1}{3}, 1, -3, 9, ...$

This is a geometric sequence where the:

First Term, $a_1=-\dfrac{1}{3}$

Common ratio, r =-3

We want to determine the sum of the first 75 terms.

For a geometric sequence, the sum:

$S_n=\dfrac{a_1(1-r^n)}{1-r} \\$

Therefore:

$S_{75}=\dfrac{-\dfrac{1}{3}(1-(-3)^{75})}{1-(-3)} \\\\=\dfrac{-(1-(-3)^{75})}{4*3}\\\\S_{75}=\dfrac{(-3)^{75}-1}{12}\\\\S_{75}=-506.888989761$ X 10^{32}$

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3 years ago

The coefficient in the term 7xy is​

The coefficient in the term 7xy is