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Liula [17]
3 years ago
9

I am a trinomial whose leading coefficient is -3 when I'm put in standard form:

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0

Answer:

C. 4x² - 3x⁴ + x

General Formulas and Concepts:

<u>Algebra I</u>

  • Terms/Coefficients
  • Standard Form: Largest degree to smallest degree
  • Leading Coefficient: Constant multiplied to largest degree

Step-by-step explanation:

<u>Step 1: Define</u>

A. 2xy - 3 + 5xy²

B. 3x³ - 3x - 3

C. 4x² - 3x⁴ + x

D. x⁵y - 3x²y - xy

<u>Step 2: Rewrite</u>

<em>Rewrite each trinomials into standard form.</em>

A. 5xy² + 2xy - 3

B. 3x³ - 3x - 3

C. -3x⁴ + 4x² + x

D. x⁵y - 3x²y - xy

<u>Step 3: Identify LC</u>

A. has a leading coefficient of 5

B. has a leading coefficient of 3

C. has a leading coefficient of -3 (our answer)

D. has a leading coefficient of 1

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Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
Anna007 [38]

Answer:

the first one

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

y-20+20=12\left(x-3\right)+20

simplify:

y=12x-16

4 0
3 years ago
Suppose that $12,724 is invested at an interest rate of 6.1% per year, compounded continuously. Find the exponential function th
olchik [2.2K]

Answer:

Exponential Function: A= P* e ^ {0.061t}

Balance after

t=1 $ 13,524.32

t=2 $ 14,374.99

t=5 $ 17,261.69

t=10 $ 23,417.64

Step-by-step explanation:

Formula used to find amount in the account after time t, given the interest rate is compounded continuously

A= Pe^r^t

where: P= principal amount or amount invested

r= interest rate

t= time

A= amount after time t

in our question we are given:

P=$12,724

r= 6.1% or 0.061

A= 12724 * e ^ (^0^.^0^6^1^)^t

The above equation is exponential function that describes the amount in the account after time t in years

Now, for t = 1

A= 12724 * e ^ {0.061 * 1}

A= $ 13,524.32

t=2

A= 12724 * e ^ {0.061 * 2}

A= $ 14,374.99

t= 5

A= 12724 * e ^ {0.061 * 5}

A= $ 17,261.69

t=10

A= 12724 * e ^ {0.061 * 10}

A= $ 23,417.64

7 0
4 years ago
Antonina needs to have worked at least 90 volunteer hours to graduate. She has already volunteered with a housing organization o
VladimirAG [237]

Answer:

No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate

=> 52 + 3w >= 90

Step-by-step explanation:

Given that Antonina needs to have worked at least 90 volunteer hours to graduate means that she needs to volunteer either for 90 hours or more than that . Mathematically this can be written as

Total volunteer hours required to graduate greater than or equal to 90

Total volunteer hours required to graduate>= 90

No. of hours already volunteered = 52

no. of hours left for volunteering = Total volunteer hours required to graduate - No. of hours already volunteered = 90 - 52 = 38

No. of hours in one week she can dedicate for volunteering= 3

if w is the number of weeks that Antonina needs to tutor in order to complete her volunteer hours

then total volunteer hours dedicated in w weeks will be = w*No. of hours in one week she can dedicate for volunteering = w*3 = 3w

Thus,

No. of hours already volunteered + total volunteer hours dedicated in w weeks > = Least volunteer hours required to graduate

=> 52 + 3w >= 90

6 0
3 years ago
Determine for which interval(s) the function is increasing and decreasing for questions 3-5.
Solnce55 [7]
Option D would be the correct answer.
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4 years ago
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