Let f(x) = x - 2 and g(x) = x2 – x. Find and simplify the expression.
(f+g)(-3)

Answer:

Angle B=90 degrees

BA^C= 40 degrees

Step-by-step explanation:

Angle B=90 degrees (right angle =90 degrees)

90+50+BA^C=180

140+BA^C      =180

           BA^C=180-140

          BA^C= 40 degrees

Step-by-step explanation:

1. the table on the left is a function, with the formula : y = x²

2. the table on the right is also a function, indicated by the values of the input are different each others

Answer:

3 hours

Step-by-step explanation:

You find the LCM between 20 and 15, which is 5. This means that Kim and Tom are both biking at 5 miles per hour, meaning that to determine how much time Tom takes, you would do 15/5, which is 3 hours.

Time taken by Tom to get office is 3 hour

Given information:

Distance of office from Kim house = 20 km

Distance of office from Tom house = 15 km

Kim take 1 hour more

Find;

Time taken by Tom to get office

Computation:

Assume;

Time taken by Tom = a hour

So,

Time taken by Kim = (a + 1) hour

[tex]Speed = \frac{Distance}{Time}[/tex]

So,

[tex]\frac{20}{(a + 1)}=\frac{15}{a} \\\\20a = 15a + 15\\\\20a - 15a = 15\\\\5a = 15\\\\a = 3[/tex]

So,

Time taken by Tom = 3 hour

Learn more:

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If your teacher is referring to four digit numbers with those tiles, where the tiles cant repeat, then we have 2 choices for the last slot (the units digit). Those two choices are: 6,8.

Recall that a number is only even if and only if the units digit is even (0,2,4,6,8).

Once a choice has been made for the units digit, we have...

Overall, we have 2*3*2*1 = 12 different four digit numbers possible.

Those 12 numbers are:

Answer: Fourth Choice. xy + 17x + 6

Step-by-step explanation:

Given

12xy + 20x - 9 - 11xy - 3x + 15

Put like terms together

=12xy - 11xy + 20x - 3x + 15 - 9

Combine like terms through addition/subtraction

=xy + 17x + 6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

7/16

Step-by-step explanation:

38 + 1/16 = 38.0625

38.0625 = 7/16

Answer:

Step-by-step explanation:

3y = 5x -1

y = (5/3)x - ⅓

Slope of line is 5/3.

Slope of any parallel to the line is also 5/3.

Answer:

1st box 2nd box 4th box and 7th box

Step-by-step explanation:

Answer:

17.23

Step-by-step explanation:

Find the cost of the cupcakes

8* 1.59= 12.72

Find the cost of the pies

5*5.99 =29.95

Subtract the cost of the cupcakes from the pies

29.95-12.72=17.23

Answer:

Money spent more on pies than cupcakes = $17.23

Step-by-step explanation:

1 cupcake = $ 1.59

8 cupcakes = 8 * $ 1.59

8 cupcakes = $12.72

1 pie = $5.99

5 pies = 5 * $5.99

5 pies = $29.95

Money spent more on pies than cupcakes = Pies - Cupcakes

Money spent more on pies than cupcakes = $29.95 - $12.72

Money spent more on pies than cupcakes = $17.23

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

it's the second one

Step-by-step explanation:

the number of zeros behind the first number is the amount of tens! hope it helps!

Answer:

Here's your answer: 6 units²

Answer:

a)2244 is divisible by 6

Step-by-step explanation:

2244/6=374

1209/6=201.5

2630/6=438.333

2991/6=498.5

Answer:

Devon is 50 and Sydney is 25

Step-by-step explanation:

We know that d + s = 75 and that Devon is two times Sydney's age. This can be represented by 2s + s = 75 (keep in mind that 2s = d). Simplify the equation.

3s = 75

s = 25

Now we can substitute this in the original equation.

d + 25 = 75

d = 50

Best of Luck~

Answer: Sydney=25 Devon=50

Step-by-step explanation:

Sydney's age is represented by x and since Devon is 2 times older (his/her) age would be represented as 2x. So added together would be 3x. So 3x=75. 75/3=25. So x=25 meaning that Sydney is 25 and Devons age is 50 as 25x2=50.

Answer:

B

Step-by-step explanation:

f(g(x)) = 6(x-8)+12 = 6x-36

f(g(6)) = 36-36 = 0

Answer:

0

Step-by-step explanation:

i took test and got in right and the person above me explained it perfectly :)

Answer:

Step-by-step explanation:

1. C

2. A

3. B

4. A

5. D

6. C

7. A

8. C

9. B

10. D

Answer:

One of the factors is (x+ 2)

Step-by-step explanation:

[tex]6 {x}^{2} + 7x - 10 \\ = (6x - 5)(x + 2)[/tex]

another factor is (6x - 5)

9514 1404 393

Answer:

  (a)  $3.72

Step-by-step explanation:

The interest is found using the formula ...

  I = Prt

where P is the principal invested at rate r for t years. 3 months is 1/4 year, so the interest is ...

  I = $425×0.035×1/4 ≈ $3.72

Yousef earns $3.72 after 3 months.

Answer:

18 weeks

Step-by-step explanation:

14 songs / 7 weeks

2 songs per week

36 songs * 1 week/ 2 songs

36 /2 weeks

18 weeks

Answer:

C

Step-by-step explanation:

is not a polynomial because it has a negative exponent.

Answer:

1) (f+g ) x = (x²-4)+ (x+2) = x²+ x –2

2) (f - g ) x = (x²-4) – (x+2) = (x²-4)+ ( -x - 2) = x²–x–6

3) (f × g ) x = (x²-4)(x+2) = x³+2x²– 4x – 8

4) (f / g) x = (x²-4) / (x+2) = x – 2

5) ( f + g ) 4 = (x²-4)+ (x+2) = ((4²)-4)+ (4+2) = ( 16–4) + (6) = 12+6 = 18

I hope I helped you^_^

Step-by-step explanation:

[tex]\sin(\theta + \phi) = 2\cos(\theta - \phi)[/tex]

Using the addition identity formulas, we can write

[tex]\sin{\theta}\cos{\phi} + \cos{\theta}\sin{\phi} = 2\cos{\theta}\cos{\phi} + 2\sin{\theta}\sin{\phi}[/tex]

Dividing both sides by [tex]\cos{\phi}[/tex], we get

[tex]\sin{\theta} + \cos{\theta}\tan{\phi} = 2\cos{\theta} + 2\sin{\theta}\tan{\phi}[/tex]

Dividing both sides by [tex]\sin{\theta}[/tex], we get

[tex]\tan{\theta} + \tan{\phi} = 2 + 2\tan{\theta}\tan{\phi}[/tex]

or

[tex]\tan{\theta}(1 - 2\tan{\phi}) = 2 - \tan{\phi}[/tex]

Rearranging the terms,

[tex]\tan{\theta} = \dfrac{2 - \tan{\phi}}{1 - 2\tan{\phi}}[/tex]

Answer:

x = –2/3 or –20/9

Step-by-step explanation:

(9x+13)² = 49

Finding the square root of both sides

9x+13 = √49

9x+13 = ±7

Subtracting 13 from both sides

9x = 7 – 13 or 9x = -7 –13

9x = –6 or 9x = –20

Divide both sides by 9

x = –6/9 or x = –20/9

Simplifying

x = – 2/3 or x = –20/9

9514 1404 393

Answer:

 no

Step-by-step explanation:

Using only a straightedge, you cannot measure distance, so cannot ensure that any two distances are the same.

__

The points of interest are on the perpendicular bisector of AB, which can be constructed using a compass and straightedge. The straightedge alone is insufficient.

Answer: (1, -1) or x = 1, y = -1

Answer:

4.00586

Step-by-step explanation:

yup. so ya.... 20 character reached I hope

The value of product will be;

⇒ 16.926

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 1.3 (- 3.1) (4.2)

Now,

Since, The expression is,

⇒ 1.3 (- 3.1) (4.2)

After product, we get;

⇒ 1.3 × (- 3.1) × (4.2)

⇒ 4.03 × 4.2

⇒ 16.926

Thus, The value is = 16.926

Learn more about the multiplication visit:

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Answer:

y-y1=slope (x-x1)

where x1=-5, y1=-7 and the slope=2÷5

we substitute for x and y

y-(-7)=2÷5{x-(-5)}

y+7=2÷5(x+5)

y+7=(2x+10)÷5 cross multiply

5y+35=2x+10 collect like terms

5y=2x+10-35

5y=2x-25 ......ans

Answer:

Negative.

Step-by-step explanation:

Negative because there are an odd number of negatives.

For Example:

3 negatives:

- * - * -

= + * -

=  -