Find x when f(x)=1 . (These means find the input that gives an output of 1.)

f(x)=1/x-2

8k - 3 - 10

Solution,

= 8k - 3 - 10

= 8k - 13.

Answer:

8k - 13

Step-by-step explanation:

8k - 3 - 10

-(3 - 10) = -13

= 8k - 13

Step-by-step explanation:

A={6,9,11},B=ϕ

Here, B is empty set.

Therefore,

A∪B

=A∪ϕ

={6,9,11}

A intersection ϕ is ϕ I guess

Answer:

Step-by-step explanation:

a) Number = x

Multiply it by 3 = 3*x = 3x

Now add 4 to it: 3x + 4

Equation:  

3x +4 = 22

b)

3x + 4 = 22

Subtract 4 from both sides

3x + 4 -4 = 22 - 4

        3x = 18

Divide both sides by 3

3x/3 = 18/3

x = 6

Answer:

Below in bold.

Step-by-step explanation:

The equation is

3x + 4 = 22

3x = 22 - 4 = 18

x = 18/3

x = 6.

Answer:

x = -13/4

Step-by-step explanation:

5 - (4x + 7) - 4 = 7

Distribute the minus sign

5 - 4x  -7 - 4 = 7

Combine like terms

-4x-6 = 7

Add 6 to each side

-4x-6+6 = 7+6

-4x= 13

Divide by -4

-4x/-4 = 13/-4

x = -13/4

Answer: -13/4 or -3.25 or - 3 1/4

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-5 - (-3)

-5 + 3

= -2

Answer:

See THE IMAGE FOR SOLUTION

Answer:

3) Verify the following: (a) 48 = 48, TRUE (b) 230 = 230, TRUE

Step-by-step explanation:

3) Verify the following:

a. 16 [7 + (-4)] = [16 × 7] + [16 × (-4)]

= 16 [7 -4] = [112] + [16 × -4]

= 16 [3] = [112] + [-64]

= 48 = 112 - 64

= 48 = 48        

This is true because both sides are equal.

b. -23 × [(-8) + (-2)] = [(-23) × (-8)] + [(-23) × (-2)]

= -23 × [-8 - 2] = [-23 × -8] + [-23 × -2]

= -23 × [-10] = [184] + [46]

= -23 × -10 = 184 + 46

= 230 = 230

This is true because both sides are equal.

Step-by-step explanation:

1 ) 402

402 - 2 = 400 which is a perfect sqrt ( 20)^2

so u must subtract 2

2) 1989

1989 - 53 = 1936 which is a perfect sqrt (44)^2

3) 3250

3250 -1 = 3249 which is a prefect sqrt (57)^2

4) 4000

4000 - 31 = 3969 which is a perfect sqrt (63)^2

Answer:

[tex]3x+41[/tex] or 38

Step-by-step explanation:

If Q is the midpoint of Line PR, then lines PQ and QR add up to equal Line PR. We then get

[tex]PQ=6x+25\\QR=16-3x\\PQ+QR=PR\\6x+25+16-3x=PR\\3x+41=PR\\[/tex]

If you want to know the exact number that PR is, we can do additional steps where PQ = QR.

[tex]PQ=6x+25\\QR=16-3x\\PQ=QR\\6x+25=16-3x\\9x+25=16\\9x=-9\\x=-1\\\\3x+41=PR\\3(-1)+41=PR\\-3+41=PR\\38=PR\\PR=38[/tex]

37.5 sec/lap

Step-by-step explanation:

2 m and 30 sec to sec equals 150 sec

each lap is 25 m

100 ÷ 25 = 4 laps

150 ÷ 4 = 37.5 sec per lap

Answer:

$159.09

Step-by-step explanation:

Math

Answer:

Step-by-step explanation:

Answer:

Option D is correct

Step-by-step explanation:

[tex]x - 6 = 8 \\ x = 8 + 6 \\ x = 14[/tex]

Answer:

Option D is correct

Step-by-step explanation:

[tex]x - 6 = 8 \\ x = 8 + 6 \\ x = 14[/tex]

Answer:

x>-1.5

Step-by-step explanation:

Answer: 1.5 miles per minute

Step-by-step explanation:

The ratio for the hours is 90 Miles : 60 Minutes

Since 1 hour is 60 minutes, then 1 minute is 1/60 of a hour.

So, 1/60 will be the constant.

[tex]\frac{90}{1/60}[/tex]=1.5

Answer:

You can buy 10 bulbs of elephant garlic

Step-by-step explanation:

Since each bulb of elephant garlic is 2.

1 x 2 = $2

That is the cost of 1 elephant garlic.

10 x 2 = $20

That is the cost of 10 elephant garlic.

Answer : #1= Answer:x=−4

#2=Answer:x=7

Answer:

15. x = 112 degrees

18. x = 120 degrees

Step-by-step explanation:

15.

A triangle's angles always equal 180 degrees so we can find the two unknown angles by subtracting 44 from 180 and then dividing it by 2.

2a + 44 = 180

2a = 136

a = 68

Each unknown angle equals 68 degrees. The line from 44 degrees to x degrees segments a line that has a 180 degree angle so we can subtract 68 from 180 to get x.

x + 68 = 180

x = 112

18.

We can use the same concept here but now every angle equals each other so we can divide 180 by 3 to get the measure of those angles.

3a = 180

a = 60

Now we do the same thing as last time to find x.

x + 60 = 180

x = 120

Answer:

61/24 is its simplest form! :)

Step-by-step explanation:

Answer:

Area of rectangle =  2.16 [tex]ft^{2}[/tex]

Step-by-step explanation:

Given ,

Base = 13 ft = 156 in

Height = 2 in

Area of rectangle = base * height

area =  156 * 2

area = 312 [tex]in^{2}[/tex]

area in square foot = [tex]\frac{312}{144}[/tex] = 2.16 [tex]ft^{2}[/tex] approx

Answer:

[tex]y=-\frac{5}{2}x-24[/tex]

Step-by-step explanation:

[tex]2x-5y=-12\\5y=2x+12\\y=\frac{2}{5}x+\frac{12}{5}\\[/tex]

if two lines perpendicular,

[tex]m_{1} .m_{2}=-1\\ \frac{2}{5} .m_{2}=-1\\m_{2}=-\frac{5}{2}[/tex]

the line perpendicular to this line is

[tex]y=-\frac{5}{2}x+k[/tex] ; k ∈ R

the line passes through the point (10,-1)

so,

[tex]-1=-\frac{5}{2} (10)+k\\-1=-25+k\\k=-24[/tex]

∴the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) is

[tex]y=-\frac{5}{2}x-24[/tex]

Answer:

g(-3) = -3

Step-by-step explanation:

Plug in -3 everywhere that x is.

g(-3) = (2/3)(-3) - 1

g(-3) = (-6/3) - 1

g(-3) = -2 - 1

g(-3) = -3

Answer:[tex]a^5=\frac{4}{5}[/tex]

Step-by-step explanation:

The 5th term of the arithmetic sequence is 4/5

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the arithmetic progression be represented as A

Now , the value of A is

A = 1/5 , 7/20 , 1/2 , 13/20 ....

Now , the first term of the arithmetic sequence is a₁ = 1/5

The second term a₂ = 7/20

The common difference d = second term - first term

So , the common difference d = 7/20 - 1/5

The value of d = 3/20

Now , the nth term of the AP is given by

Tn = a + (n - 1) d, where Tₙ = nth term

Substituting the values in the equation , we get

T₅ = ( 1/5 ) + ( 5 - 1 ) ( 3/20 )

On simplifying the equation , we get

T₅ = ( 1/5 ) + ( 4 x 3 ) / 20

T₅ = 1/5 + 12/20

T₅ = 16/20

T₅ = 4/5

Therefore , the value of T₅ is 4/5

Hence , the 5th term of the arithmetic sequence is 4/5

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ2

Answer:

Step-by-step explanation:

Answer:

7/11

7/9

Step-by-step explanation:

7/11 = 35/55

5/8 = 35/56

Take the fraction eith smaller denominator

5/12 = 35/84

7/9 = 35/45

take the fraction eith the smaller denominator

Answer:

k = 2.5

Step-by-step explanation:

We know that,

y = kx

=> y/x = k

Let us take the first value of x and y.

Si, 5/2 = k

=> 2.5 = k

Note: We can take any of the given values of x and y from the table.

Answer:

46

Step-by-step explanation:

The sum of the two smaller angle measures is 98.

(2x + 6) + (3x - 8) = 98

Combine like terms.

5x - 2 = 98

5x = 100

x = 20

Plug this into the expressions for the two smaller angle measures.

2x + 6 = 2(20) + 6 = 46

3x - 8 = 3(20) - 8 = 52

The smaller of the two angles measures 46.

Answer:

B (-1 , 0)

Step-by-step explanation:

0 <= -(-1) +3

0 <= 4

0 <= (-1)^2 - 3 (-1)

0<= 4

Answer:

4 terms

Step-by-step explanation:

The terms in the expression are unique in that they cannot be combined.

The 4 terms are

2n

+ 5

- 3p

+ 4p

Answer:

A is the answer of the power