Use the foil method to check your answer 3(x+1)(x+2)

Answer:

5x+1

5x^2+6

Step-by-step explanation:

The given information is:

- They surveied 164 pet owners

- 61 own a dog

- 66 own a cat

- 11 own both a dog and a cat

We have to find how many owned neither a cat nor a dog.

We can represent this survey in the following diagram:

To find the solution we need to subtract the number of people who said they own a dog, own a cat, and own both, from the total number of people in the survey, so:

The people who own neither a dog nor a cat are 26.

Height  is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.

Horizontal plane can as well be described as the plane or surface  that can be seen as the one that is parallel to the surface of the earth,  , it should be noted that this  plane is usually at the  at an angle of zero degree hence  horizontal plane.

Therefore, the plane  is perpendicular to the horizontal plane , hence Height  is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.

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Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

Answer:

2√6

Step-by-step explanation:

make me brainliest please

I could be misunderstanding your question, but I think you want to know the simplest form of √ 24 .

√ 24 = √ 4 ⋅ 6 = √ 4 √ 6 = 2 √ 6

Because √ 6 cannot be simplified, we are finished.

Both Samantha and Luis have sampled the same fraction, 40/200. Therefore, they have the same level of randomness in their samples.

In this case, randomness refers to the likelihood of obtaining a particular outcome from a sample. When Samantha and Luis sample 40 out of 200, they are selecting a subset of the total population. The fact that both of them sample the same fraction indicates that they are selecting an equal proportion of the population. Therefore, their samples have the same level of randomness.

It's important to note that the randomness of a sample depends on the sampling method and the population being sampled. In this particular scenario, since both Samantha and Luis sample the same fraction, they can be considered equally random in their sampling.

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Answer:

x=1.5

Step-by-step explanation:

triangle JLM is similar to triangle QST

so we know that similar triangles have proportionate sides

so..

JM/LM=QT/ST

4/(6x-3)=2/3

3*4=2(6x-3)

12=12x-6

12x=18

x=1.5

X = 1.5

On paper, I worked it out. Despite the fact that answers have already been offered, this might be used as confirmation that the answers given by other members are correct.

Have a wonderful day.

Answer:

hi bri

Step-by-step explanation:

The maximum average shear stress in the member with an equilateral triangle cross section can be determined using the shear formula.

The shear formula states that the average shear stress (τ) in a member can be calculated by dividing the shear force (V) by the cross-sectional area (A) of the member. Mathematically, it can be expressed as τ = V / A.

For an equilateral triangle cross section, the area can be calculated using the formula A = (√3 / 4) * s^2, where s is the length of the side of the equilateral triangle.

However, it is important to note that the shear formula assumes that the member is homogeneous and has a uniform distribution of stress. In reality, the distribution of shear stress in an equilateral triangle cross section is not uniform.

The maximum shear stress occurs at the corners of the triangle, known as the vertices. This maximum shear stress is higher than the average shear stress calculated using the shear formula.

Therefore, while the shear formula can provide an estimate of the average shear stress in the member, it cannot accurately predict the maximum shear stress in an equilateral triangle cross section.

To determine the maximum shear stress, more advanced analysis techniques, such as Mohr's circle or finite element analysis, should be employed.

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Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

a continuous probability distribution the outcomes can take any value within a given range.

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Answer:

a^5x^5, 10a^5x^4, 40a^5x^3

Step-by-step explanation:

Use pascal's triangle for the first one

(2+x)^5 * a^5

= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...

= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...

Answer: $11.25

Step-by-step explanation:

Just add how much he spent ($7.50) and how much he had left ($3.75).

Considering the diagram,

the angle of elevation of the guy wire AD 56.31 degrees

the length of the guy wire  10.8 ft

for the two guy wires 21.6 ft

length AB = 24 ft

The angle of elevation is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

Using tan, TOA

let the angle be x

tan x = Opposite / Adjacent

tan x = 9 / 6

x = arc tan 3/2

x = 56.31 degrees

The length of the guy wire

length of guy wire  = √(9^2 + 6^2) = 3√13 = 10.8 ft

for the two guy wires = 10.8 * 2 = 21.6 ft

length AB

= 6 + 12 + 6

= 24 ft

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By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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In summary solution for this question  the value of x is 10.

Angles u and v are complementary, which means their measures add up to 90 degrees.

Given:

Angle u = 3x + 4

Angle v = 56

To find the value of x, we can set up an equation using the fact that the sum of the angle measures is 90 degrees:

Angle u + Angle v = 90

Substituting the given values:

(3x + 4) + 56 = 90

Now, we can solve for x:

3x + 4 + 56 = 90

3x + 60 = 90

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Therefore, the value of x is 10.

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Cuties and naval oranges are interchangeable, therefore when Cuties' price drops, more mandarin oranges will be consumed by consumers, increasing the demand for naval oranges .

As the Mandarin oranges are an alternative for navel oranges, a decrease in the price of Mandarin oranges will result in more people purchasing Mandarin oranges.

The Federal Water Pollution Control Act Amendments of 1972 were passed in response to growing public knowledge of and concern over water pollution (33 U.S.C. 1251 et seq.).

This law was modified in 1977 (P.L. 95-217), and as a result, it became known as the Clean Water Act (CWA).

Given constant levels of the other determinants—tastes, income, prices of related goods, expectations, and the number of buyers—the demand curve is defined as the relationship between the price of the good and the amount or quantity the consumer is willing and able to purchase in a given time period.

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Answer:

No, the student did not check the solution to the derived equation in the original equation.

No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.

No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.

Step-by-step explanation:

just did on edge good luck!

The student is wrong in his answer to the equation

3/a + 2 − 6a/2a − 4 = 1/a − 2 is - 2, the correct answer is 2/3.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, 3/a + 2 − 6a/2a − 4 = 1/a − 2.

3/a + 2 - 3 - 4 = 1/a - 2.

3/a - 1/a = 3.

2/a = 3.

a/2 = 1/3.

a = 2/3.

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The perimeter of the figure = length of outer sides of the triangle and rectangle + perimeter of the semicircle ≈ 61.7 ft.

The perimeter of a figure is the length of its borders = sum of all its sides.

Perimeter of the semicircle = 1/2(2πr) = 1/2(2 × 3.14 × 5) = 15.7

Perimeter of the figure = length of outer sides of the triangle and rectangle + perimeter of the semicircle

Perimeter = 12 + 6 + 14 + 14 + 15.7

Perimeter = 61.7 ft.

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Answer

i=2

Step-by-step explanation:

i+i+i+i=8

4i=8

i=8/4

i=2

Answer: 60 cm²

Step-by-step explanation:

This is pretty simple, we know AB is 12 cm and DE is 4 cm. We know ABC has a total of 180 square centimeters. So...

12 ÷ 3 = 4

180 ÷ 3 = 60

The answer is 60 cm²

I hope this helps!

Step-by-step explanation:

C. (4,1)

When x=4 and y=1, the equations become,

4 = 3*1 +1

4=4

2*4+4*1 = 8+4 = 12

Answer:

option C

Step-by-step explanation:

x = 3y + 1      equation(i)

2x + 4y =12    equation(ii)

First working for equation (ii)

substituting the value of x in equation (ii)

2(3y + 1) + 4y = 12

6y + 2 + 4y = 12

10y = 12 - 2

y = 10/10

y =1

now substitute the value of y in equation (i)

x = 3*1 = 1

x=3 + 1

x = 4

therefore , answer is (4,1)

Answer:

\(x=7\)

Step-by-step explanation:

So we have the equation:

\(7x-27=3x-5+x-1\)

Combine like terms:

\(7x-27=4x-6\)

Subtract 4x from both sides:

\(3x-27=-6\)

Add 27 to both sides:

\(3x=21\)

Divide both sides by 3:

\(x=7\)

So, the value of x is 7.

And we're done!

Steps to solve:

7x - 27 = 3x - 5 + x - 1

~Combine like terms

7x - 27 = 4x - 6

~Add 27 to both sides

7x = 4x + 21

~Subtract 4x to both sides

3x = 21

~Divide 3 to both sides

x = 7

Best of Luck!

Answer:

c=25m+100

Step-by-step explanation:

since 100 is the initial fee it is the y intercept and it goes up 25 a month so it’s written like c=25m+100

hopes this help please mark brainliest