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3 years ago

Divide: (x2 – 3x – 33) = (x + 4)

Mathematics

2 answers:

Simora [160]3 years ago

8 0

Answer:

$\rm (x^2 - 3x - 33)\div(x + 4) = x - 7 - \dfrac{5}{x + 4}$

Step-by-step explanation:

$\rm\qquad\quad\quad{x-7}\\ \begin{array}{cc} \cline{2 - 2}\rm x + 4 )&\rm \ x^2 - 3x -33\\&\rm x^2 + 4x \\ \cline{2-2}& \rm \ \ \ \ -7x-33\\ &\sf \ - 7x-28 \\ \cline{2-2} & \rm \ \ -5 \\ \cline{2-2} \end{array}$

Quotient → x - 7

Remainder → -5

Divisor → x + 4

katovenus [111]3 years ago

7 0

Answer:

x-7-5/x+4

So answer C

Step-by-step explanation:

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The company leased two manufacturing facilities. Lease A requires 20 annual lease payments of $200,000 beginning on January 1, 2

Fed [463]

Answer:

the present value of the lease obligation for lease A will be $1,702,712.74 while the present value of lease B will be $1,764,741.73

Step-by-step explanation:

the present value of annual lease payment will be determined by discounting the total amount to be received from lease payment over years.

for lease A , Pv = A $\fracA{1 -(1+r)^{-n} }{r}$

= $200,000( 1 - (1+0.1) $^{20}$ ) / 0.1 = $1,702,712.74

for lease B , Pv = $220,000( 1 - (1+0.1) $^-{17}$ ) / 0.1 = $1,764,741.73

the amount to be dicloased in the balance sheet at 31 december, 2018

6 0

4 years ago

Please help me with this. Thank you!

Rufina [12.5K]

Answer:

1- 51.496yd 2- 39.25ft 3- 163.28cm 4- 53.38mm 5- 50.24in 6-94.2ft 7-18.84yd 8- 207.24m

Step-by-step explanation:

So how you do circumference is you find the diameter and times it by pi.

for 1. you will do 8.2 times 2 for the diameter then times it by pi and get 51.496 yards.

for 2 you would do 12.5 times pi and get 39.25ft

for 3 you would do 26 times 2 which is 52 then multiply it by pi which is 163.28cm

for 4 you do 17 times pi which is 53.38mm

for 5 you do 16 times pi which is 50.24in

for 6 you do 30 times pi which is 94.2ft

for 7 you do 3 times 2 which is 6 then multiply by pi which is 18.84yd

for 8 you do 33 times 2 which is 66 then multiply by pi which is 207.24m.

6 0

3 years ago

Read 2 more answers

the function h(x) is quadratic and h(3) = h(–10) = 0. which could represent h(x)? h(x) = x2 – 13x – 30 h(x) = x2 – 7x – 30 h(x)

Inga [223]

$h(3)=h(-10)=0\\\\therefore\\\\h(x)=a(x-x_1)(x-x_2)\\\\h(x)=a(x-3)(x+10)=a(x^2+7x-30)\\\\Answer:\boxed{h(x)=x^2+7x-30}$

7 1

3 years ago

Read 2 more answers

A recent study from the University of Virginia looked at the effectiveness of an online sleep therapy program in treating insomn

Ludmilka [50]

Answer:

1. The 99% confidence interval for the difference in average is -6.47377 < μ₁ - μ₂ < -11.34623

2. The possible issues in the calculations includes;

a. The confidence level used in the confidence interval can influence the result of the confidence interval observed

b. The sample size is small

Step-by-step explanation:

1. The number of adults with insomnia in the sample = 45

The number of adults that participated in the therapy, n₁ = 22

The number of candidates that served as control group, n₂ = 23

The average score for the for the 22 participants of the program, $\overline x_1$ = 6.59

The standard deviation for the 22 participants of the program, s₁ = 4.10

The average score for the for the 23 subjects in the control group, $\overline x_2$ = 15.50

The standard deviation for the 23 subjects in the control group, s₂ = 5.34

The confidence interval for unknown standard deviation, σ, is given by the following expression;

$\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}$

α = 1 - 0.99 = 0.01

α/2 = 0.005

The degrees of freedom, df = 22 - 1 = 21

$t_{\alpha /2}$ = $t_{0.005, \, 21}$ = 1.721

Therefore, we have;

$\left (6.59- 15.5 \right )\pm1.721 \cdot \sqrt{\dfrac{4.10^{2}}{22}+\dfrac{5.34^{2}}{23}}$

The 99% confidence interval for the difference in average is therefore given as follows;

-6.47377 < μ₁ - μ₂ < -11.34623

Therefore, there is considerable evidence that the participants in the survey had lower average score than the subjects in the control group

2. The possible issues in the calculations are;

a. The confidence level used in the confidence interval can influence the result of the confidence interval observed

b. The sample size is small

5 0

3 years ago

Nixon recycles 6 cans every week. Which expression shows the total number of cans he recycles in w weeks? 6 + w 6 + 5w w over 6

inessss [21]

Answer:

The expression is:

$n = 6w$

Step-by-step explanation:

let ' $w$ ' be the number of weeks

let ' $n$ ' be the total number of cans

As Nixon recycles 6 cans every week, so the expression becomes

$n = 6w$

7 0

2 years ago