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3 years ago

Hi guys! I really need help! I’ll give 300 points

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Answer:

First option: 2

Step-by-step explanation:

Check each answer:

8 < x(7-x)

8 < 2(7-2)

8 < 2(5)

8 < 10

True

8 < x(7-x)

8 < 8(7-8)

8 < 8(-1)

8 < -8

False

8 < x(7-x)

8 < -1(7-(-1))

8 < -1(7+1)

8 < -1(8)

8 < -8

False

8 < x(7-x)

8 < 0(7-0)

8 < 0

False

Therefore, 2 is the only correct solution out of the given answer choices.

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Kennedy is working two summer jobs, making $11 per hour babysitting and making $8 per hour clearing tables. In a given week, she

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3 years ago

The function f(x)f(x) is a quartic function and the zeros of f(x)f(x) are -6−6, -5−5, -2−2 and 11. Assume the leading coefficien

Luden [163]

<h2>Answer: </h2>

$\boxed{f(x) = 11x^4 + 22x^3 - 1001x^2 - 5632x - 7260}$

<h2>Explanation: </h2>

A quartic function is a function given by the the following equation in standard form:

$f(x)=a_{4}x^4+a_{3}x^3+a_{2}x^2+a_{1}x+a_{0} \\ \\ \\ Where: \\ \\ a_{4},a_{3},a_{2},a_{1},a_{0} \ \text{are constant} \\ \\ \text{and} \ a_{4} \ \text{is the leading coefficient}$

From the statement we must assume the leading coefficient of f(x) is 11, so:

$a_{4}=11$

The zeros are:

$x=-6 \\ \\ x=-5 \\ \\ x=-2 \\ \\ x=11$

So, we can write:

$f(x)=11(x-(-6))(x-(-5))(x-(-2))(x-11) \\ \\ \\ So: \\ \\ \mathrm{Rule}:-\left(-a\right)=a \\ \\ \\ Then: \\ \\ f(x)=11\left(x+6\right)\left(x+5\right)\left(x+2\right)\left(x-11\right)$

$Expand:\left(x+6\right)\left(x+5\right):\ x^2+11x+30: \ \text{Distributive Property} \\ \\ \\ Then: \\ \\ f(x)=11\left(x^2+11x+30\right)\left(x+2\right)\left(x-11\right) \\ \\ \\ Expand:\left(x^2+11x+30\right)\left(x+2\right):\ x^3+13x^2+52x+60: \ \text{Distributive Property} \\ \\ \\ Then: \\ \\ f(x)=11\left(x^3+13x^2+52x+60\right)\left(x-11\right)$

$Expand: \left(x^3+13x^2+52x+60\right)\left(x-11\right):\ x^4+2x^3-91x^2-512x-660 \\ (Distributive \ property)$

Finally:

$f(x) = 11(x^4 + 2x^3 - 91x^2 - 512x - 660) \\ \\ \boxed{f(x) = 11x^4 + 22x^3 - 1001x^2 - 5632x - 7260}$

3 0

3 years ago

Which of the following is the balance for a single $2700 deposit in an account with an APR of 4.5% that compounds interest month

Zanzabum

The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

Step-by-step explanation:

The given is,

A single deposit amount - $ 2700

APR - 4.5%

( Compounded monthly )

Period - 7 years

Step:1

Formula to find future amount with an APR compounded monthly,

$A = P(1+\frac{r}{n})^{nt}$ .......................(1)

Where, A - Future amount

P - Initial deposit

r - Interest rate

n - Number of compounding in a year

t - No.of years

From given,

P = $ 2700

r = 4.5%

n = 12 (∵ For monthly n becomes 12 )

t = 7 years

Equation (1) becomes,

$= 2700(1+\frac{0.045}{12})^{(12)(7)}$

$= 2700(1+0.00375)^{84}$

$= 2700(1.36945)$

$= 3697.52$

A = $3697.52

Result:

The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

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4 years ago

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Step-by-step explanation:

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4 years ago

The equation of the graphed line in point-slope form is what

cestrela7 [59]

(-2,3) (3,0)

find slope
m= 0-3/(3+2) = -3/5

point slope is y-y1=m (x-x1)

point is (3,0) and m=-3/5

plug and chug

y-0=-3/5(x-3)

y=-3/5x+9/5

hope that helps

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3 years ago