A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.

Answer:

a = 49°

Step-by-step explanation:

Answer: 49

Step-by-step explanation: 180-82-49= 49

Answer: For an oblique or acute triangle sure but not a right triangle

Step-by-step explanation: I guess the sides would work on a regular non right triangle but Pythagorean theorom doesn't work here so the sides don't work for a right triangle

Answer:

Step-by-step explanation:

since the two smaller numbers don't add up to more than the bigger they can. but not a right triangle   :|

Answer:

C

Step-by-step explanation:

We are given that:

[tex]\displaystyle f(x)=x+1\text{ and } g(x)=\frac{2}{x}[/tex]

And we want to find:

[tex]f(g(x))[/tex]

Therefore, we will substitute the equation for g(x) for the x in f(x). This yields:

[tex]\displaystyle f(g(x))=\big(\frac{2}{x}\big)+1[/tex]

Simplify:

[tex]\displaystyle f(g(x))=\frac{2}{x}+1[/tex]

Hence, our answer is C.

Answer:

what?

Step-by-step explanation:

Answer:

b. 4(x + 6) = 49

Step-by-step explanation:

Step two:

given data

A quadrilateral has a side length L of x+6 inches

Perimeter= 49 inches.

Required:

the expression for the perimeter of the  quadrilateral given the situation

Step two:

A  quadrilateral has four sides, assume we have a square-shaped quadrilateral

P=4L

49= 4(x+6)

Answer:

D. 12x³ + 32x - 8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x³ + 8x - 2

k(x) = 4x

k(f(x)) is x = f(x)

Step 2: Find k(f(x))

Answer:

8/15=n/100

Step-by-step explanation:

Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as:  [tex]A1=\frac{(base)(height)}{2}[/tex]

Area of a rectangle is calculated as: [tex]A2=(side)(side)[/tex]

Area of a right trapezoid is: [tex]A3=\frac{(a+b)h}{2}[/tex], where:

a is short base

b is long base

h is height

1) Expressing areas in terms of x:

Area of triangle S1:

[tex]S1=\frac{(2x-3)(4x-6)}{2}[/tex]

[tex]S1=4x^{2}-12x+9[/tex]

Area of rectangle S2:

[tex]S2 = (4x-6)(3x-2)[/tex]

[tex]S2=12x^{2}-26x+12[/tex]

Area of trapezoid S3:

[tex]S3=\frac{(2x+3+4x+1)(2x-3)}{2}[/tex]

[tex]S3=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]S3=6x^{2}-5x-6[/tex]

2) a) [tex]S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)[/tex]

[tex]S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6[/tex]

[tex]S=10x^{2}-33x+37[/tex]

Which is the same as S = (2x-3)(5x-9)

b) For the areas to be the same:

[tex]\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12[/tex]

[tex]20x^{2}-66x+54=0[/tex]

Using Bhaskara to solve the second degree equation:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}[/tex]

[tex]x_{1}=\frac{66+6}{40}[/tex] = 1.8

[tex]x_{2}=\frac{66-6}{40}[/tex] = 1.5

For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.

c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:

[tex]S=(2x-3)(5x-9)[/tex]

[tex]S=10x^{2}-18x-15x+27[/tex] (expand)

[tex]S=10x^{2}-33x+27[/tex] (reduce)

d) For area of AFCG to be bigger than area of ADEB by 27:

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x+15[/tex]

[tex]20x^{2}-66x+27=0[/tex]

Solving:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}[/tex]

[tex]\frac{66+46.86}{40}[/tex]

[tex]x_{1}=\frac{66+46.86}{40}=[/tex] 2.82

[tex]x_{2}=\frac{66-46.86}{40}[/tex] = 0.48

According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82

Answer:

please see it my step solution work

Answer:

x=-7

if you were to simplify and do all the correct steps then you would be able to get the correct answer and I hope this helps you

Answer:

Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

$19.50

Step-by-step explanation:

You can set up a simple equation where t-shirts are represented by t and cost by c.

$78=4t.

To solve this equation, you want to get the variable isolated. To do this divide four on both sides since the t is multiplied by 4 and to undo multiplication, you divide. So you divide 4t by four, which gets you 1t, and then you divide 78 by 4 (because whatever you do to one side you have to do it to the other) which gives you 19.5. So the remaining equation is

$19.50=1t

And since t represents t-shirts, the equation is saying that $19.50 is equal to one t-shirt.

Answer:

1/8 is SMALLER then 2/10

Answer:

2/10 is greater

Step-by-step explanation:

2/10 and 1/8, hard to tell since they have different denominators. So let's make them have the same denominators, multiply 2/10 with 4/4 and 1/8 with 5/5.

If u don't want to think too much to find a number they can both be multiplied too, simply multiply each fraction with the others denominator, so 2/10 times 8/8 and 1/8 times 10/10. It doesn't rlly matter what factor u choose to multiply with as long as the denominator is the same.

So back to the first one, 2/10 times 4/4 is 8/40, 1/8 times 5/5 is 5/40.

8/40 > 5/40

Therefore 2/10 is greater

Answer:

[tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Given

sin(- 240°)

To obtain the positive angle measure add 360°, equivalent to one full revolution about the origin, then

ain(- 240°)

= sin(- 240 + 360)°

= sin120°

= sin( 180 - 120)°

= sin60°

= [tex]\frac{\sqrt{3} }{2}[/tex]

Answer: 895 phones

Step-by-step explanation:

Given that :

The function : y = 1.28e^1.31x ; is used to model the number of camera phones shipped since 1997

y = number of camera phones ; x = number of years since 1997

The number of camera phones shipped in the year 2002 can be obtained thus ;

x = 2002 - 1997 = 5 years

y = 1.28e^(1.31 * 5)

y = 1.28e^6.55

y = 1.28(699.24417)

y = 895.03254

y = 895 phones

45 Answer:

Step-by-step explanation:45

Answer:

45

Step-by-step explanation:

5x9=45

How to get that answer it to count by 5's.

5, 10, 15, 20, 25, 30, 35, 40, 45.

Another way to get there is to count by 9's

9, 18, 27, 36, 45.

Answer:

2

Step-by-step explanation:

[tex]tan\ x = 0.5\\\\\frac{sin\ x}{cos\ x}=0.5\\\\sin\ x=0.5(cos\ x)\\\\1=0.5(\frac{cos\ x}{sin\ x})\\\\1=0.5(cot\ x)\\\\\frac{1}{0.5}=cot\ x\\\\2=cot\ x \\[/tex]

More likely a line graph

Answer:

line graph

Step-by-step explanation:

Answer: 3x - 3

Step-by-step explanation:

Each bag contained x counters and there are 3 bags.

He removes one counter from each of the 3 bags so the expression for the counters in each bag is now;

= x - 1

As there are 3 bags, the expression is;

= 3 * ( x - 1)

= 3x - 3