The question is in the picture (Alegbra 1)

The Question Is In The Picture (Alegbra 1)

Answers

Answer 1

Answer:

[tex]\frac{s}{s-4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{s^2+6s}{s^2+10s+24}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ( factor and simplify fraction on left )

= [tex]\frac{s(s+6)}{(s+4)(s+6)}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ← cancel (s + 6) on numerator/ denominator

Leave first fraction, change division to multiplication, turn second fraction upside down

= [tex]\frac{s}{s+4}[/tex] × [tex]\frac{s+4}{s-4}[/tex] ← cancel (x + 4) on numerator/ denominator

= [tex]\frac{s}{s-4}[/tex]


Related Questions

The heart rate of 10 football players is sampled. The rates measured in beats per minute are 62,74,74,64,76,6480,76,68,76

What is the best estimate of the population mean for heart rate among football players?



Enter your answer in the box.

Answers

Answer:

The best estimate of the population mean for heart rate among football players is of 71.4 beats per minute.

Step-by-step explanation:

The best estimate for the population mean is the sample mean.

Sample mean:

Sum of all values in the sample divided by 10(size of the sample). So

[tex]\overline{x} = \frac{62+74+74+64+76+64+80+76+68+76}{10} = 71.4[/tex]

The best estimate of the population mean for heart rate among football players is of 71.4 beats per minute.

Answer: 71.4

Just a confrimation to the below anwser.

Choose the best estimate for the multiplication problem below. 56 x 51
A. 2000
B. 3000
C. 4100​

Answers

Answer:

B

Step-by-step explanation:

Answer: B.

Explanation: 56 multiply 51 is 2856 and 3000 is the closest to 2856.

Also pls mark me as brianliest!!

Find the sum and product of zeroes of the quadratic polynomial 3x² + 5x-2.​

Answers

Answer:

see first of all it is a quadratic polynomial so it will have 2 zero alpha and beta

now , we will find value of a , b, c

so,

a= 3

b= 5

c= -2

now, sum of the zeros ( alpha + beta) =-b/a

so,-5/3

now product of zeros (alpha *beta) = c/a

so, it will we -2/3

hope you get it !

What combination of transformations is shown below?

Answers

Answer: D) Translation, then reflection

Explanation:

To go from figure 1, to figure 2, we apply a translation (aka "shifting"). Specifically, we translate 3 units to the right and 4 units up.

To go from figure 2 to figure 3, we apply a reflection. The mirror line is vertical and it is along the shared segment of figures 2 and 3.

The track team has 12 more boys than girls. There are a total of 142 team members. How many boys and girls are on the team?

Answers

Answer:

77 boys, 65 girls

Step-by-step explanation:

x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:

x + x + 12 = 142

2x + 12 = 142

x = 65

65 girls

then 65+ 12 = 77 boys

Exponential Growth/Decay
Plz help!!!

Answers

Answer:

a) 82.

b) So a growth factor of 0.025

c) 2.5%.

d) f(5) = 93, which means that the population of the island on January 1st 2026 is of 93.

Step-by-step explanation:

Exponential equation of population growth:

The exponential equation for population growth has the following format:

[tex]f(x) = x(0)(1+r)^x[/tex]

In which x(0) is the initial value and r is the growth factor, as a decimal.

In this question:

In x years after 2021:

[tex]f(x) = 82(1.025)^x[/tex]

a)

This is f(0). So

[tex]f(0) = 82(1.025)^0 = 82[/tex]

So 82.

b)

We have to find r. So

[tex]1 + r = 1.025[/tex]

[tex]r = 1.025 - 1 = 0.025[/tex]

So a growth factor of 0.025.

c)

Growth factor multiplied by 100%.

So 0.025*100% = 2.5%.

d)

f(5) = population in 5 years after January 1st 2021, that is, January 1st 2026.

[tex]f(5) = 82(1.025)^5 = 93[/tex]

f(5) = 93, which means that the population of the island on January 1st 2026 is of 93.

1. 89.023 - write this number in words
2. which is correct
A. 0.875>0.920
B. 0.875 <0.920
C. 0.920= 0.875​

Answers

Answer:

#1 Eighty-nine and 23 thousandths. #2 B.

Step-by-step explanation:

9 is more than 8. ‍♀️

Task 4: gasoline cost

you have $40 to spend on n gallons of gas that costs $3.25 per gallon. determine whether each of the following is an expression or an equation. using the structure, give an interpretation of the practical meaning of each. that is, what do they represent in the real world?

1. 3.25n
2.3.25n=26
3.40-3.25n
4. 40-3.25n=1.00

Answers

1) 3.25n

Overall cost of n gallons of gas

2)3.25n = 26

we are spending 26 dollars on 8 gallons of gas

3)40-3.25n

Ammount we have remaining after spending on n gallons of gas out of 40 dollars

4) 40-3.25n = 1.00

The maximum number of gallons of gas we can buy from 40 dollar is 13 gallons and 1 dollar is still remaining to us.

The given representations could be classified thus :

3.25n (Expression)

3.25n=26 (Equation)

40-3.25n (Expression)

40-3.25n=1.00 (Equation)

Total amount to spend = $40

Cost per gallon = $3.25

Number of gallons = n

An expression could be a variable, constant or a combination of both which is related by an operation symbol.

An equation on the other hand maybe defined as a relationship between two expressions linked by an equal to symbol.

Evaluating the representations given :

3.25n : This is an expression as it lacks an equal to sign connecting the expression. The expression means the cost of n gallons of gas.

3.25n = 26 : This is an equation as it contains two Seperate expressions connected by the equal to sign. The equation means that number of gallons of gas, n that can be purchased with $26.

40 - 3.25n : This is an expression. The amount left after purchasing n gallons from $40.

40 - 3.25n = 1.00 : This is an equation. The number of gallons of gas that can be purchased from $40 and still have $1 left.

Learn more : https://brainly.com/question/18109354

Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.

Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.

Explain how you determined your formula.

Answers

Answer:

2 + 3x(N-1) = Amount of money donated

Step-by-step explanation:

Since Aaron participates in a walkathon for charity, and he has a sponsor who has pledged a base donation of $ 2 for the first mile he walks and then a certain dollar amount for each additional mile he walks, and based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $ 23 to the charity, to determine a formula that can be used to determine the amount of money this sponsor donates when Aaron walks N miles the following equation should be raised:

2 = fixed amount in the first mile

2 + ((23 - 2) / (8-1)) x (N-1) = Amount of money donated

2 + (21/7) x N = Amount of money donated

2 + 3x (N-1) = Amount of money donated

Thus, if N is 8, as in the example, the quantity is determined as follows:

2 + 3x (8-1) = X

2 + 3x7 = X

2 + 21 = X

23 = X

find the largest prime factor of 6108

Answers

Answer:

509

Step-by-step explanation:

There are 4 prime factors of 6108

6108 ÷ 2 = 3054

3054 ÷ 2 = 1527

1527 ÷ 3 = 509

509 ÷ 509 = 1

jack bought a mother bike the original price was 1300 but he got a discount of 20% what was the discounted price of the bike

Answers

The discounted price of the bike is 260.

What is 8.75% of 172?

Answers

Answer:

15.05 is your answer.

Step-by-step explanation:

To find our answer we will first divide 8.75 by 100 since it is a percentage.  8.75 ÷ 100 = 0.0875

Now we will take 0.0875 and multiply it by 172 and we get 15.05.  Therefore, 15.05 is our answer

Hey there!

8.75% of 172

The word “of” means multiply in mathematical terms.

8.75% * 172

8.75% = 8.75/100 = 0.0875

0.0875 * 172

= 301/20

= 15.05

Answer: 301/20 OR 15.05

(BOTH ANSWERS WORK because they are both equivalent)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

GIVING OUT BRAINLIEST PLS HELP! ALMOST DUE

Answers

Answer:

I think it's option B

Select the false statement about inverse relations.
a. The range of a function will be the domain of its inverse.
b. The graphs of inverse relations are reflections in the line y=x.
c. The inverse of a function will always be a function.
d. The domain of a function will be the range of its inverse.

Answers

Answer:

THE ANSWER IS B

Step-by-step explanation:

B mine please im so single

The answer is b trust me

Anybody know this one? I was leaning towards D but not sure

Answers

Answer:

You would be correct!

Step-by-step explanation:

10 × 4 = 40 40 + 15 = 55 therefore D is the answer great job!

The hypotenuse function is correct, but the main function has a problem. Explain why it may not work, and show a way to fix it. Your fix must be to the main function only; you must not change the hypotenuse function in any way.

Answers

Answer: hello your question is incomplete attached below is the missing codes

Answer : It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement was not written in the main function

Step-by-step explanation:

It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement  should be moved to the Main

The correction  is below

{

   double* p = new double;

   hypotenuse(1.5, 2.0, p);

  cout << "The hypotenuse is " << *p << endl;

}

A serving of crackers has 1.5 grams of fat.
How many grams of fat are in 3.75 servings?
O A. 3.90
B. 5.25
C. 5.305
D. 5.625

Answers

D. You multiply 3.75x1.5 :)


Pedro solves the quadratic equation x^2+6x –14 using the quadratic formula. In which step did Pedro make an error?

Answers

9514 1404 393

Answer:

  correct choice is marked

Step-by-step explanation:

The error is in step 2. The square root cannot be distributed to a sum.

Two puppies from the same litter name Bruno in Jasper there ways during the first six weeks are plotted on the coordinate grid at which age did Bruno in Jasper Way the same

Answers

Answer:

3 weeks

Step-by-step explanation:

Two puppies from the same litter are named Bruno Puppy Weight and Jasper. Their weights during the first  weeks are plotted on the coordinate grid. At which age did Bruno and Jasper weigh the same?

Solution:

We can see that Bruno and Jasper weight is represented by a straight line. Let y represent the weight of the puppies in ounce and x represent the age in weeks.

For Bruno:

The line passes through (1, 10) and (5, 16), hence the equation of the line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{16-10}{5-1} (x-1)\\\\y-10=\frac{3}{2}(x-1)\\\\y=1.5x+8.5\ \ \ (1)[/tex]

For Jasper:

The line passes through (0, 12) and (3, 13), hence the equation of the line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-12=\frac{13-12}{3-0} (x-0)\\\\y-12=\frac{1}{3}(x)\\\\y=\frac{1}{3} x+12\ \ \ (2)[/tex]

To find the age at which both puppies weighed the same, we have to solve equation 1 and 2 simultaneously. Subtract equation 1 from 2:

-1.167x + 3.5 = 0

1.167x = 3.5

x = 3

Put x = 3 in equation (2)

y = (1/3)(3) + 12 = 13

The solution is (3, 13)

Therefore both Jasper and Bruno weigh the same weight of 13 ounce at 3 weeks of age

The product of b and 3​

Answers

Answer and Step-by-step explanation:

The product of a two numbers/values is the result of multiplying two numbers/values.

So, multiply b and 3 together.

3b is the answer.

#teamtrees #PAW (Plant And Water)

Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 95% CI for expected lead content when traffic flow is 15, based on a sample of n= 10 observations, is (461.7, 598.1).

Required:
What parameter is this interval estimating?

Answers

Answer:

The answers is " Option B".

Step-by-step explanation:

[tex]CI=\hat{Y}\pm t_{Critical}\times S_{e}[/tex]

Where,

[tex]\hat{Y}=[/tex] predicted value of lead content when traffic flow is 15.

[tex]\to df=n-1=8-1=7[/tex]

 [tex]95\% \ CI\ is\ (463.5, 596.3) \\\\\hat{Y}=\frac{(463.5+596.3)}{2}\\\\[/tex]

     [tex]=\frac{1059.8}{2}\\\\=529.9[/tex]

Calculating thet-critical value[tex]t_{ \{\frac{\alpha}{2},\ df \}}=-2.365[/tex]

The lower predicted value [tex]=529.9-2.365(Se)[/tex]

[tex]463.5=529.9-2.365(Se)\\\\529.9-463.5=2.365(Se)\\\\66.4=2.365(Se)\\\\Se=\frac{66.4}{2.365} \\\\Se=28.076[/tex]

When [tex]99\%[/tex] of CI use as the expected lead content: [tex]\to 529.9\pm t_{0.005,7}\times 28.076 \\\\=(529.9 \pm 3.499 \times 28.076)\\\\=(529.9 \pm 98.238)\\\\=(529.9-98.238, 529.9+98.238)\\\\=(431.662, 628.138)\\\\=(431.6, 628.1)[/tex]

5(2b + 3) + 8(b - 6)

Answers

The answer is
10b+15+8b-48

Answer:

Step-by-step explanation:

5(2b+3)+8(b-6)

=10b+15+8b-48

=18b-33

=3(6b-11)


Given the quadratic equation X2 - 5x + 10 = 0
Which of the following gives the value of the discriminant along with the
proper interpretation of it
a. discriminant = 105 there are two solutions
b. discriminant = 105 there are no solutions
c. discriminant = -15 there are two solutions
d. discriminant = -15 there are no solutions

Answers

Answer:

b

Step-by-step explanation:

HELPPPP PLZZZZZzz HELLP FAST I NEED TO PASS

Answers

Answer:

m∠Q= 105°

➬➬➬➬➬➬➬➬

[tex]6x+5+(11x-5)+x=180^o[/tex]

[tex]18x=180[/tex]

[tex]x=10[/tex]

☄m∠Q=105°

❆❆❆❆❆❆❆❆❆❆❆❆

hope it helps....

have a great day!!

how do you estimate 10.43

Answers

Answer:

Step-by-step explanation:

Given 10.43, you can 'estimate' it only by rounding off:

10.43 to the nearest tenth is 10.4.

10.43 to the nearest whole number is 10; we drop the fraction 0.43.

1

Last week at the business where you work , you sold 120 items. The business paid $1 per item and sold them for $3 each. What profit did the business make from selling the 120 items

Answers

Answer:

240

Step-by-step explanation:

They spent $120 buying 120 items, so they have -$120. By selling the items at 3x the price, they gained the 120 back and made a profit of 240 (120 x 2).

240

3-1=2

120 x 2=240

Find the area of this triangle. Round to the nearest tenth.

Answers

Area = 1/2 × 24 × 11 × Sin(76)

Area = 12 × 11 × 0.9703

Area = 132 × 0.9703

Area = 128.0796

Area = 128.1 in^2

Choose the inequality that represents the following graph. help please! :)

Answers

Answer:

A.   x < -1

Step-by-step explanation:

Open circle at -1 with line to the left

A.   x < -1

Which of the following are roots of the polynomial function? Check all that apply. F(x) = x^3 - 5x^2-13-7​

Answers

Answer:

The roots are: 1, -7 and -7

Step-by-step explanation:

When we put x = -1 in F(x) it is equal to 0

Thus, (x + 1) is factor of given function.

When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)

Now, factorizing x² - 6x - 7 by middle term splitting.

x² - 6x - 7 = x² - 7x + x - 7

⇒ x(x - 7) + 1(x - 7)

⇒ (x + 1) (x - 7)

Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)

Thus, Roots of the given polynomial function is x = -1, -1, 7

Hope this answer helps you :)

Have a great day

Mark brainliest

Please help the question is already on the pic and please explain

Answers

okay so if $2 for the first 10 pounds, divide 10 by 2 and you get 5. every time you add a pound its a dollar more. so i think the answer is 45.
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