Choose all the fractions that are equivalent to 1/8 HELP ME A.2/14 B .4/28 C.5/35 D.2/8 E.7/49 F.7/40

Answer:

1) [tex](f+g)(x)=2x^2+3x-6[/tex]

2) [tex](f-g)(x)=2x^2+x[/tex]

3) [tex](f \cdot g)(x)=2x^3-4x^2-9x+9[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=2x^2+2x-3\text{ and } g(x)=x-3[/tex]

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

[tex](f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)[/tex]

Combine like terms:

[tex]=(2x^2)+(2x+x)+(-3-3)[/tex]

Add:

[tex]=2x^2+3x-6[/tex]

So:

[tex](f+g)(x)=2x^2+3x-6[/tex]

2)

(f-g)(x) is the same to f(x)-g(x). So:

[tex](f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)[/tex]

Distribute:

[tex]=(2x^2+2x-3)+(-x+3)[/tex]

Combine like terms:

[tex]=(2x^2)+(2x-x)+(-3+3)[/tex]

Simplify:

[tex]=2x^2+x[/tex]

So:

[tex](f-g)(x)=2x^2+x[/tex]

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

[tex](f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)[/tex]

Distribute:

[tex]=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)[/tex]

Distribute:

[tex]=(2x^3+2x^2-3x)+(-6x^2-6x+9)[/tex]

Combine like terms:

[tex]=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)[/tex]

Simplify:

[tex]=2x^3-4x^2-9x+9[/tex]

So:

[tex](f \cdot g)(x)=2x^3-4x^2-9x+9[/tex]

Answer:

They will meet in 1.8 hours.

Step-by-step explanation:

Given that, distance between trains = 306 miles

Let they take time [tex]'t'[/tex] to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train = [tex]D_1[/tex] miles

Formula for distance:

[tex]Distance = Speed \times Time[/tex]

Distance traveled by first train, [tex]D_1 = 90t[/tex]

Let distance traveled by first train = [tex]D_2[/tex] miles

Formula for distance:

[tex]Distance = Speed \times Time[/tex]

Distance traveled by first train, [tex]D_2 = 80t[/tex]

Total distance traveled is 306 miles.

i.e.

[tex]D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}[/tex]

They will meet in 1.8 hours.

Answer:

C

Step-by-step explanation:

The domain is the input values

A has an input of 2

B has an input of all real values

D has an input of 1,0,2,6

C has an input of -4,-2,2,4

Answer:

I'm going to say A

Step-by-step explanation:

For sure the next would be blue but this is just my guess.

The most likely next step in the series is Option A, where a blue ray is added 90 degrees to the left along with the existing rays.

It appears that the pattern involves adding a ray 90 degrees to the left and alternating colors between red and blue. The first figure is a 180 degrees line with arrows on both sides of red color.

Based on this pattern, the most likely next step would be to add a blue ray 90 degrees to the left, while keeping the existing rays and alternating colors. Therefore, the next step would be Option A, where the figure is blue in color with a ray added to the left along with the already present rays.

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Answer:

C. 0.33

Step-by-step explanation:

Answer:

0.3

.

.

.

.

Step-by-step explanation:

yea yea yea yea yea

Answer: Ray has 17 trucks .

Step-by-step explanation:

Let x = number of cars

y = number of trucks

As per given

x+y= 43    (i)

2y-8=x    (ii)

We can rewrite (ii) as

x-2y= -8      (iii)

Subtracting (iii) from  (i), we get

y- (-2y)= 43- (-8)

⇒ y+2y= 43+8

⇒ 3y=51

Divide both sides by 3

⇒ y = 17

Now, put this in (ii), we get

x= 2(17)-8=34-8 =26

Hence, Ray has 17 trucks and 26 cars.

Answer:

Just multiply 7*-1 which would equal -7

Answer:

121 tickets

Step-by-step explanation:

16x7+9=121

I hope this helps

Answer: D

Step-by-step explanation:

Answer:

3 + 9[tex]\sqrt{5}[/tex]

Step-by-step explanation:

primeter = a + b + c

primeter = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]

primeter = 3 + 9[tex]\sqrt{5}[/tex]

Answer:

31

Step-by-step explanation:

Answer: 31

Step-by-step explanation:

1. Multiply 28+6-12/4

2. Divide 28+6-3

3. Add 34-3

4. Subtract 31

Answer:

  any value other than 8

Step-by-step explanation:

If c = 8, the two sides of the equation say the same thing, so any value of x will satisfy the equation.

If c ≠ 8, there are no values of x that can make the equation true, hence no solutions.

There is no solution for any value of c that is not 8.

[tex]c=-3x+8+3x\\c=8[/tex]

If c = 8 then the solution is infinite. (because the equation is true)

[tex]-3x+7=-3x+8\\-3x+7+3x-8=0\\1=0[/tex]

If c < 8 then there're no solutions. (the equation is false)

[tex]-3x+9=-3x+8\\-3x+9+3x-8=0\\1=0[/tex]

If c > 8 then there're no solutions.

easy way. also if you look at the graph. It's literally impossible to have one intercept if the coefficient of x for both have the same operators and same absolute value like -2x+c = -2x + a or -3x+2 = -3x+5, we'll never get a single intercept. If we change like -3x+c = -5x+8, we might still get one solution.

Answer:

[tex]$\frac{10}{9} $[/tex]

Step-by-step explanation:

[tex]$\frac{4}{9} -\left(-\frac{2}{3} \right)$[/tex]

[tex]$\frac{4}{9} +\frac{2}{3} $[/tex]

[tex]$\frac{4}{9} +\frac{6}{9} $[/tex]

[tex]$\frac{10}{9} $[/tex]

Answer:

16in

Step-by-step explanation:

Answer:

Height = 16 in

Step-by-step explanation:

C = Hypotenuse = the longer side of a triangle

A = Height

B = Base

=> a^2 + b^2 = c^2

=> a^2 + 30^2 = 34^2

=> a^2 + 900 = 1156

=> a^2 + 900 - 900 = 1156 - 900

=> a^2 = 256

=> Square root of a^2 = Square root of 256

=> a = 16

So, The Height of the triangle = 16 in.

Answer:

13

Step-by-step explanation:

9 more than a number y is

y + 9

If the number y is 4, then you have

4 + 9 = 13

The expression is y +9 and the evaluation is 13.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Let y be the required number.

According to question,

the algebraic expression

y + 9

Here, y =4

Then y + 9

= 4 +9

= 13

Therefore, the expression is y +9 and the evaluation is 13.

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Answer:

8

Step-by-step explanation:

Area of a trapezoid can be found using  the following formula:

A= base 1 + base 2 / 2 times the height

plug it in

A= 6 + 2/2 times 2

A= 8

Answer:

Solution : 3.6 miles

Step-by-step explanation:

The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).

Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.

Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,

distance / sin(62.5) = 4 / sin(97.25)

Let distance = x ...

x / sin(62.5) = 4 / sin(97.25),

x / 0.88701083317 = 4 / 0.99200494968,

x * 0.99200494968 = 4 * 0.88701083317,

x * 0.99200494968 = 3.548,

x = ( About ) 3.5766 miles

Given the options the distance from the balloon to the soccer fields would be 3.6 miles.

1. 1. Vocabulary  What does the exponent in the expression [tex]5^{6}[/tex] tell you?

Answer: it means that [tex]5[/tex] is multiplied by itself [tex]6[/tex] times: [tex]5^{6} =5*5*5*5*5*5=15625[/tex]

1. 2. [tex]4*4=4^{2}=16[/tex]

The power is [tex]2[/tex] or square, notice how the geometric model is made out of dots forming a flat square.

1. 3. [tex]2*2*2*2=2^{3} =8[/tex]

The power is [tex]3[/tex] or cube, notice how the geometric model is a cube.

1. 4. [tex]9*9=9^{2}=81[/tex]

The power is [tex]2[/tex] or square, notice how the geometric model is a flat square.

2. 5. [tex]7^{2} =49[/tex]

2. 6. [tex](-2)^{4} = -2*-2*-2*-2=4*4=16[/tex]

2. 7. [tex](-2)^{5} =16*-2=-32[/tex]

2. 8. [tex]-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}[/tex]

3. 9. [tex]81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}[/tex]

3. 10. [tex]100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,[/tex]

         [tex]10*10*10*10*10=10^{5}[/tex]

3. 11. [tex]-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}[/tex]

3. 12. [tex]10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}[/tex]

3. 13. [tex]81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}[/tex]

3. 14. [tex]36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}[/tex]

4. 15. Technology First week => [tex]3[/tex] hits, every week => the number of hits triples, means [tex]3^{3}[/tex], 5th week => hits every week * 5 = [tex]3^{3}*5=27*5=135[/tex] hits.

I apologize if there's any misspelling or wrong answer.

Answer:

Nerh they are not enough

Step-by-step explanation:

Depending on the number of people you want to sit at each table.

To avoid compression add more tables

Answer:

I think C 130 probably wrong

Answer:

130 degrees

Step-by-step explanation:

Since there are vertical angles 2x and 3x-50 are the same. So you would do 2x=3x-50. The picture below shows how I got x=50. SO now you know x=50, it's important to remember that line AC equals 180 degrees. So what you nees to do is 180-50 to get what y equals. y should equal 130 degrees.

Answer:

is the same X×Y,Y×X

that is the answer of your question

Answer:

Step-by-step explanation:

S = 2πr² + 2πrh

To solve for h move 2πr² to the other side of the equation

That's

2πrh = S - 2πr²

Next divide both sides by 2πr in order to isolate h

That's

We have the final answer as

Hope this helps you

Answer:

140°

Step-by-step explanation:

Supplementary angles sum to 180° , thus

angle = 180° - 40° = 140° ← other angle

Answer:

12 (D)

Step-by-step explanation:

The first one is 2:1.2 so i did x10 on it to get 20:12.

The missing value in the table is 12 miles.

Option D is the correct answer.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 km = 1000 m

1 minute = 60 seconds

We have,

Kilometer    Miles

2                     1.2

7                     4.2

20                  12

30                  18

We see that,

2 km = 1.2 miles

Multiply 7/2 on both sides.

7  km = 7/2 x 1.2 miles

7 km = 4.2 miles

Multiply 20/ 7 on both sides.

20 km = 12 miles

Thus,

20 km is 12 miles.

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Answer:

Yes, Jean is correct

Step-by-step explanation:

Given

[tex]73 * \frac{3}{4}[/tex]

Required

Determine the value of the result

When a positive integer is multiplied by a fraction, the result is always less than the integer

Solving further

[tex]Expression = 73 * \frac{3}{4}[/tex]

[tex]Expression = \frac{73 * 3}{4}[/tex]

[tex]Expression = \frac{219}{4}[/tex]

[tex]Expression = 54.75[/tex]

The result of the expression shows that the resulting value is less than 73.

Hence, Jean is correct

Answer:

1. False

2. True

3. True

4. True

Step-by-step explanation:

Answer: f=7/3

Step-by-step explanation:

f(3)=7

Step 1: Simplify both sides of the equation.

3f=7

Step 2: Divide both sides by 3.

3f/3=73

f=7/3