A rectangular porch has dimensions of (2x+3) feet and (x+9) feet. the area of the porch is 500 square feet. what are the length and width of the porch?

Answer:

Where are the answer choices?

Step-by-step explanation:

Answer:

C: f(x) = (x - 5)(x + 1)

Step-by-step explanation:

I believe it's letter B

Answer:

Point B

Step-by-step explanation:

Answer:

translated left by 2 units

Step-by-step explanation:

Given y = f(x) then

y = f(x ± a) represents a horizontal translation of a units

• If + a then a shift of a units to the left

• If - a then a shift of a units to the right

Hence

g(x) is the graph of f(x) translated 2 units to the left

The function g(x) = (x+2)^2 + 1 is a transformation of the function f(x) = x^2 + 1. It represents a translation of the graph of f(x) to the left by 2 units.

The function g(x) = (x+2)^2 + 1 is a transformation of the function f(x) = x^2 + 1. Particularly, it's a horizontal shift, not a compression or stretching of the graph. By comparing coefficients, we infer that the +2 inside the parentheses on g(x) represents a shift of the graph of f(x) to the left by 2 units. This is because the rules of transformations dictate that h(x) = (x - h)^2, where h represents a shift to the right, and h(x) = (x + h)^2 represents a shift to the left. Therefore, the correct statement is that the graph of g(x) is translated left 2 units compared to the graph of f(x).

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There are 13 shoppers aged 20 or older. Calculated by summing frequencies of age groups 20-24 through 35-39. Answer: (c) 13.

Of course, I'm happy to help! To find out how many shoppers are at least 20 years old, we need to add up the frequencies of the age groups that are 20 years old and older. Here are the steps:

1. Identify the age groups that are 20 years old and older.

2. Add up the frequencies (the number of shoppers) for those age groups.

Let's assume the histogram provides age groups in 5-year intervals, starting from 0 to 4 years old, then 5 to 9 years old, and so on.

Let's look at the age groups that are at least 20 years old:

1. 20-24 years old

2. 25-29 years old

3. 30-34 years old

4. 35-39 years old

5. 40-44 years old

We add up the frequencies for these age groups:

1. Frequency for 20-24 years old: 5

2. Frequency for 25-29 years old: 4

3. Frequency for 30-34 years old: 3

4. Frequency for 35-39 years old: 1

5. Frequency for 40-44 years old: 0 (since it's not specified in the histogram, we assume it's 0)

Adding these frequencies together:

5 + 4 + 3 + 1 + 0 = 13

So, there are 13 shoppers who are at least 20 years old.

The answer is (c) 13.

ANSWER

The car moves at 32 mi/hr

EXPLANATION

This question is asking us to determine how fast is a train that makes 330 mile trip in 4 hours.

This is the same as calculating the speed of the train:

Speed = distance covered/time taken

The distance covered is 330 mile

The time taken is 4 hours.

Speed =330/4 =82.5 mi/hr

Answer:

[tex]\boxed{\text{48 ft}}[/tex]

Step-by-step explanation:

The angle of depression from the camera at D and the angle of elevation from the target cars are congruent.

1. Distance of car A from tower

Consider ∆ACD

tan25 = 50/AC

AC  = 50/tan25 = 50/0.4663 = 107.2 ft

2. Distance of car B from tower

Consider ∆BCD

tan40 = 50/BC

AC  = 50/tan40 = 50/0.8391 = 59.6 ft

3. Distance from cars A and B

AB = AC – BC = 107.2 – 59.6 = 48 ft

The distance between the two cars is [tex]\boxed{\textbf{48 ft}}[/tex].

Answer: 228

Step-by-step explanation:

3 X 60 = 180

180 + 48 = 228

For this case we have that by definition, one minute equals 60 seconds. Then, we make the conversion:

[tex]\frac {60 \ s} {1 \ m} * 3 \ m = 180 \ s[/tex]

Thus, 3 minutes equals 180 seconds.

Now:

[tex]180 + 48 = 228[/tex]

So, it took Jason 228 seconds to complete a practice page in class.

Answer:

228 seconds

Answer:

3  2/3 miles

Step-by-step explanation:

distance = rate times time.

Here,

distance = (5.5 mph)(2/3 hr) = 3  2/3 miles

The sailboat can travel 3 2/3 miles in 2/3 hours by multiplying the speed (5 1/2 miles per hour) by the time (2/3 hours) to get the distance.

To determine how far a sailboat can sail in 2/3 hours when it can sail 5 1/2 miles in one hour, we need to perform a multiplication of the speed by the time. The speed of the sailboat is 5 1/2 miles per hour (which is the same as 11/2 miles per hour in improper fraction form), and the time is 2/3 hours.

Here are the steps to calculate the distance:

Convert 5 1/2 miles to an improper fraction: 5 1/2 = (5 times 2 + 1)/2 = 11/2.

Multiply the speed by the time: (11/2) times (2/3) = (11 times 2)/(2 times 3) = 22/6.

Simplify the fraction: 22/6 = 11/3 = 3 2/3 miles.

Therefore, the sailboat can travel 3 2/3 miles in 2/3 hours.

Answer:

B

Step-by-step explanation:

It looks like w = 0 which is the value of the x intercept.

If that is so, there was 2500 dollars in the safe to being with.

answer b//////////////////

<UST is 30* and I believe <RUS is 30* as well.

Answer:

The short leg is 7 because half of 14 is 7 and the hypotenuse is always twice as long as the shortest one.

The required short leg is 7inches.

Given that,

Hypotenuse = 14 inches,

In triangle 30-60-90

We have to determine,

By using figure find the short leg.

According to the question,

A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º.

The triangle is special because its side lengths are always in the ratio of 1: √3:2.

The 30-60-90 triangle rule is for finding the the lengths of two sides when one side is given.

The shorter side is opposite the 30 degree angle, the longer side is opposite the 60 degree angle, and the hypotenuse is opposite the 90 degree angle.

Therefore,

The hypotenuse is always twice as long as the shortest one.

Where, Hypotenuse = 14inches

Then,

[tex]Hypotenuse = 2 \times short \ leg \\\\14 = 2 \times short \ leg\\\\short\ leg = \dfrac{14}{2}\\\\short \ leg = 7[/tex]

Hence, The required short leg is 7inches.

To know more about Pythagoras theorem click the link given below.

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Answer:

D) y = -2x -3

Step-by-step explanation:

1. Create a slope-intercept equation: y = -5, m = -2, x = 1

y = mx + d -> y = -2x + d -> -5 = -2(1) + d

Solve: -5 = -2 + d --> d = -3

So, the y-intercept is -3. Putting that into our equation gives us y = -2x -3

Answer:

y = x + 3

y = 3x²

y = [tex]3^{x}[/tex]

Step-by-step explanation:

Relationship1

y = x + 3

y = (0) + 3 = 3

y = (1) + 3 = 4

y = (2) + 3 = 5

Relationship 2

y = 3x²

y = 3(0)² = 0

y = 3(1)² = 3

y = 3(2)² = 3(4) = 12

Relationship 3

y = [tex]3^{x}[/tex]

y = [tex]3^{0}=1[/tex]

y = [tex]3^{1}=3[/tex]

y = [tex]3^{2}=9[/tex]

Answer:

28

Step-by-step explanation:

Using PEMDAS (or something similar) start off with the exponent.

5^2 would equal 25 since it is multiplying 5 by itself.

Then, you would add 3 to 25 making the answer 28.

For this case we must find the value of the following expression:

[tex]3 + 5 ^ 2 =[/tex]

We have that, replacing in a calculator:

[tex]5 ^ 2 = 5 * 5 = 25[/tex]

Rewriting the expression we have:

[tex]3 + 25 =[/tex]

Equal signs are added and the same sign is placed:

[tex]3 + 25 = 28[/tex]

Answer:

[tex]3 + 5 ^ 2 = 28[/tex]

Answer

90 degrees , it's a right angled triangle

Step-by-step explanation:

180 - 65 - 25 = 90

The sum of all the interior angles of a triangle equals 180 degrees

a right angled triangle has one 90 degree angle and two different angles

Answer:

The measurement of the third angle is 90 degrees

Step-by-step explanation:

There are 180 degrees in a triangle.

180 - 65 = 115 - 25 = 90

It is a right angled triangle

Answer: This series would have no last term. The general form of the infinite geometric series is a1+a1r+a1r2+a1r3+... , where a1 is the first term and r is the common ratio.

Step-by-step explanation:

Answer:

[tex]S_{\infty}=\frac{80}{3}[/tex]

Step-by-step explanation:

The sum of an infinite geometric series is given by:

[tex]S_{\infty}=\frac{a}{1-r}[/tex],

The given geometric series is

[tex]\sum_{n=1}^{\infty}32(-\frac{1}{5})^{n-1}[/tex]

The constant ratio for this series is

[tex]r=-\frac{1}{5}[/tex]

The first term of the series is [tex]a=32(-\frac{1}{5})^{1-1}=32[/tex]

The sum to infinity is [tex]S_{\infty}=\frac{32}{1--\frac{1}{5}}[/tex]

[tex]\implies S_{\infty}=\frac{32}{\frac{6}{5}}=\frac{80}{3}[/tex]

Answer:

The slope of line parallel to 2x-y = 18 will be 2.

Step-by-step explanation:

Given  

The equation of a line : 2x – y = 18

The standard form of an equation of a line in slope-intercept form is:

y=mx+c

So, we will have to convert the given equation in the standard form.

2x-y=18

-y=-2x+18

-y= -(2x-18)

y=2x-18

The coefficient of x in this form is the slope of the line.

So,

m_1=2

We know that slopes of two parallel lines are equal so if the given line has slope 2, all the lines parallel to this line have slope 2..

For this case, we have by definition, if two lines are parallel then their slopes are equal:

[tex]m_ {1} = m_ {2}[/tex]

We have the following equation:[tex]2x-y = 18[/tex]

We rewrite the equation of the form:

[tex]y = mx + b\\2x-18 = y\\y = 2x-18[/tex]

Thus, a parallel line will have a slope [tex]m_ {2} = 2[/tex]

Answer:

[tex]m_ {2} = 2[/tex]

When a company looks to have someone outside the company do work it is called out sourcing.

The answer is C.

Answer:

The answer is C.

Step-by-step explanation:

Answer:

12 days

Step-by-step explanation:

Jogging: 6,12,18,24,....

Swimming: 4,8,12,16,20

Looking at the list, the first number in common is 12

The occur together every 12 days

Answer:

y=1 + [tex]\frac{4x}{5}[/tex]

x=-[tex]\frac{5}{4}[/tex] + [tex]\frac{5y}{4}[/tex]

Answer:

Choices are:

p>30

p<30

p=30

not enough information to tell

Answer is p>30

Step-by-step explanation:

Since there are more boys than girls, there must be at least 9 boys.  Plug into equation:  (b+8) represents number of students.  If they each have at least 2 pencils we would use 2(b+8).  Plugging in  9 for the boys we have: 2(9+8)=?

2(17)=34.  So with the minimum number of boys there would be at least 34 pencils, so the answer is p>30

Final answer:

By calculating that p equals 2 times the sum of boys and girls, and that there are at least 9 boys, we find that p (the total number of pencils) must be greater than 30.

Explanation:

To compare the expressions p and 30, let us first define p as the total number of pencils. Since there must be more boys than girls and there are 8 girls, let b represent the number of boys. We can say that b > 8, since there are more boys than girls.

It's also given that each student has at least 2 pencils. Therefore, the minimum total number of pencils p can be calculated by multiplying the total number of students by 2.

This gives us p = 2(b + 8). Because b > 8, let's substitute the minimum number for boys (9), so p = 2(9 + 8) = 34.

Therefore, p > 30.

Answer:25%

Step-by-step explanation:

Because 2 is only a quarter of 8 and 25%=quarter from 100%

Answer:

25%

Step-by-step explanation:

ANSWER

The 35th term is -8

EXPLANATION

The nth term of an arithmetic sequence is given by

[tex]a_n = a_1 + d( n - 1)[/tex]

We have the 17th term to be;

[tex]a_{17}=47[/tex]

and the common difference is d=-3

We substitute to get:

[tex]47= a_1 + - 3(1 7- 1)[/tex]

[tex]47= a_1 + 16( - 3)[/tex]

[tex]47= a_1 - 48[/tex]

[tex]a_1 = 48 + 47 = 95[/tex]

We can now find the 35th term:

[tex]a_{35}=a_{1} + 34d[/tex]

[tex]a_{35}=95 + 34( - 3) = - 8[/tex]

Answer:

Step-by-step explanation:

(2x-6)(2x-5)

2(x-3)(2x-5)

^ fully factored

x-3=0       2x-5=0

x=3          2x=5

                 x=5/2

Answer:

20h=225

Step-by-step explanation:

Answer:

20h=225

Step-by-step explanation:

Answer:

(x + 12)(x + 2)

Step-by-step explanation:

In order to factorize, we first have to break the term in the middle into two terms which add up to 14 and and multiply to 24.

For this, let's take a look at the factor pairs of 24. We have (1, 24), (2,12), (3, 8), (4, 6).

note that the 2nd pair works. 2 + 12 = 14, 2*12 = 24.

And now we rewrite the expression.

x^2 + 14x + 24

= x^2 + 12x + 2x + 24

Take out common factors as below

= x(x + 12) + 2(x + 12)

Note that (x+12) is a common factor in the 2 added expressions. So we take it out.

= (x+12)(x+2)

Done!!! Hope it helps, and if it does, please mark me brainliest...

Answer:

E = 3(62)

E = 3(36)

E = 108

Answer:

Step-by-step explanation:

5(x + 3)     Remove the brackets.

5*x + 3*5  Combine

5x + 15

Answer:

[tex]\huge\boxed{\sf{5x+15}}[/tex]

Step-by-step explanation:

Hello.

I hope you remember that the Distributive Property states that

a(b+c)=ab+ac :)

If not, no worries!

Let's simplify this expression:

[tex]\sf{5(x+3)[/tex]

[tex]\sf{5x+15[/tex]

Steps:

I distributed 5 by multiplying it times x and 3 and adding the products.

I hope it helps & have an outstanding day.

[tex]\boxed{imperturbability}[/tex]

Credit union account

The savings account can a financial institution end is callable certificate of deposit. option D

Financial institutions have the right to terminate these accounts under certain circumstances, as outlined in their terms and conditions.

Reasons for termination may include customer inactivity, violation of account policies, changes in the institution's product offerings, or regulatory requirements.

Customers should carefully review the account agreements and be aware of any potential fees or penalties associated with account closure.

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Answer:  C) 11 + 13 + 15 + 17 + ...

Step-by-step explanation:

[tex]\sum\limits^\infty_3 {2x+5}\\\\2(3) + 5\quad +\quad 2(4) + 5\quad +\quad 2(5)+5\quad +\quad 2(6)+5\quad +...\implies 2(\infty)+5\\\\=11\qquad +\qquad 13\qquad \quad +\qquad 15\qquad \quad +\qquad 17\qquad +...[/tex]