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Eduardwww [97]
3 years ago
8

Assume that among households with an annual income over $100,000 , 75% own SUVs, while among households with an annual income un

der $100,000 , only 25% do. Households making over $100,000 make up one quarter of all households in the country. What are the odds that an SUV driver's household income is over $100,000 ?
Mathematics
1 answer:
liraira [26]3 years ago
7 0
............................
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Which of the following functions best represents the graph?
marshall27 [118]

Answer:

f(x)=x^3+x^2-4x-4

Step-by-step explanation:

From the graph, the x-intercepts are;

x=-2

x=-1

x=2

These are root of the polynomial function represented by the given graph.

By the remainder theorem;

f(-2)=0,f(-1)=0,f(2)=0

According to the factor theorem, if (x-a) is a factor of f(x), then f(a)=0

This implies that;

(x+2),(x+1),(x-2) are factors of the required function.

Hence; f(x)=(x+1)(x-2)(x+2)

We expand using difference of two squares to obtain;

f(x)=(x+1)(x^2-4)

We expand using the distributive property to get;

f(x)=x^3-4x+x^2-4

Rewrite in standard form to obtain;

f(x)=x^3+x^2-4x-4

6 0
3 years ago
Read 2 more answers
Determine the value of the variable in the simplified expressions. What is the value of x in this simplified expression? x = Wha
arsen [322]

Answer:x=7 y=5

Step-by-step explanation:

I just took it, sorry I'm not good at math and just guessed until I got it right for this answer.

8 0
3 years ago
A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters
abruzzese [7]

Answer:

26,508

Step-by-step explanation:

To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

The top= 12 x 24 x 35 = 10,080

The lateral faces: 12 x 37 x 37 = 16,428

Surface Area= 10,080 + 16,428 = 26,508

7 0
2 years ago
Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1). Question 3 options: A) 4
KATRIN_1 [288]

Answer:

A

Step-by-step explanation:

Hello, please consider the following.

f(1)=4*2^0=4\\\\f(2)=4*2^1=8\\\\f(3)=4*2^2=16\\\\f(4)=4*2^3=32

So the correct answer is the first one A.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0
3 years ago
Read 2 more answers
What does this mean? and how can y =x or what us the answer to y=x I need help
Readme [11.4K]
At the end of the directions, it talks about parallel, perpendicular, or neither. When x=y, the lines are perpendicular and have infinite solutions. When they are parallel, there is no solution. You'll get an answer like 4=5. Neither means there is only one answer, and you will get one x and one y.
7 0
3 years ago
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