p- (9-(m + q)); use m=4, p=5, and q=3

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

__

Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

  g(x) = f(x -3) -6

Using the given definition of f(x), this becomes ...

  g(x) = (x -3)² -6

Answer:

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Answer:

[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]

Answer: 7

Step-by-step explanation:

3y+6-5=22

3y+1=22

3y=22-1

y=21/3

y=7

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

Step-by-step explanation:

-7/10 ÷ 2/5 = -7/10 x 5/2 = - 7/4

Answer:

your answer is

[tex]-\frac{7}{4}/[/tex]

Each term has a common factor of x + y + z, so

a (x + y + z) + b (x + y + z) + c (x + y + z) = (a + b + c) (x + y + z)

Answer:

please help me my friend

Answer:

its 10 trust me

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean = Sum of data ÷ number of data set

         [tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]

Median:

Arrange the data in ascending order:

2 , 3 , 3 , 4 , 7 , 9 , 15

Middle term is the median of the data set

Median  = 4th term = 4

Mode:

Mode is the data whose is frequency is more.

So, mode = 3

Range = Maximum - minimum

           = 15 - 2

           = 13

Answer:

have a great day

god bless you

Answer:

"How many times does 81 divide into 547?"

Answer:

-27

Step-by-step explanation:

-3 x -3=9

9 x -3= -27

Answer:

-27

Step-by-step explanation:

Answer:

random number generators return numbers from 0 to 1...

a) generate 25 random numbers if the number x is ≤ .4 he makes the shot

otherwise he misses

a) generate 8 random numbers if the number x is ≤ .752 she makes the shot otherwise it is a miss

otherwise he misses

Step-by-step explanation:

Answer:

f(5) = 22

Step-by-step explanation:

Substitute x = 5 into f(x) for image , that is

f(5) = 3(5) + 7 = 15 + 7 = 22

After t hours, the first truck covers a distance of (70 km/h) t while the second truck covers a distance of (80 km/h) t. So the distance between them is

(70 km/h) t + (80 km/h) t = (150 km/h) t

They are 900 km apart after

(150 km/h) t = 900 km   ===>   t = (900 km) / (150 km/h) = 6 h

Answer:

ans...g(-1) is 4 . Is it true?

g( ‐1 ) = 7

Step-by-step explanation:

substitute your (x) value with ( ‐ 1)

Step-by-step explanation:

Total sales

Rs 5000- Rs 500= Rs 4500

The required amount received by the businessmen is 4500, from the sale.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the money businessman get be x,
According to the question,
x + commission of the agent = 5000

x + 500 = 5000
x = 4500

Thus, the required amount received by the businessmen is 4500.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

2nd option

Step-by-step explanation:

Given

c = 8πab ( isolate a by dividing both sides by 8πb

[tex]\frac{c}{8\pi b}[/tex] = a

Answer:

Step-by-step explanation:

1+cos 2a=2cos^2a

cos a=√[(1+cos 2a)/2]

[tex]put~a=\frac{\pi }{8} \\2a=\frac{\pi }{4} \\\\cos\frac{\pi }{8} =\sqrt{\frac{1+cos \frac{\pi }{4} }{2} } \\=\sqrt{\frac{1+\frac{\sqrt{2}}{2} }{2} }\\=\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]

Answer:

1) [tex] - \frac{4}{5} [/tex]

2) [tex] \frac{9}{8} [/tex]

Step-by-step explanation:

[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]

[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]

[tex] = - \frac{4}{15} [/tex]

°■°■°■°■°■°■°■°■°■°

[tex] \frac{3}{4}+\frac{3}{8} [/tex]

[tex] \frac{6+3}{8} [/tex]

[tex] = \frac{9}{8} [/tex]

Answer:

3+ x • {2x} + 5 = 858

Step-by-step explanation:

<33 hoped this helped !!!

Answer:

[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]

There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".

The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.

------------------------

Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.

Answer:

see image

Step-by-step explanation:

Answer:

x = 13, y = 24.

Step-by-step explanation:

5x - 8 + 63 + 7x - 31 = 180  (interior alternate angles are equal).

12x + 24 = 180

12x = 180 - 24 = 156

x = 156/12

x = 13.

4y + 27 =  63 + 7x - 31       (interior alternate angles are equal).

4y +27 = 32 +7(13)

4y = -27 +32 + 91

4y = `96

y = 96/4

y = 24.

Answer:

[tex] - 4n - 8 = 4( - 3n + 2) \\ - 4n - 8 = - 12n + 8 \\ 12n - 4n = 8 + 8 \\ 8n = 16 \\ n = \frac{16}{8} \\ = 2 \\ thank \: you[/tex]

Answer:

C.I=P(1+r/100)^n-1

1881=p(109/100)^2-1

1881=p(11881-10000/10000)

1881=p×1881/10000

1881/1881×10000=p

P=10,000

Assuming 5476 is given in base 10.

We have

5476 = 2×2401 + 674 = 2×7⁴ + 674

674 = 1×343 + 331 = 1×7³ + 331

331 = 6×49 + 37 = 6×7² + 37

37 = 5×7 + 2 = 5×7¹ + 2

2 = 2×1 = 2×7⁰

so that

5476₁₀ = 21652₇