4 (hx - 1) -3 (x +h) ≡ 5 (x + k)
Work out the value of h and k
H and k are integer constants

Answer:

6x+2-1x+5=42

Step-by-step explanation:

Answer:

6x+2-x-5=42

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=5x+4\text{ and } g(x)=-2x+1[/tex]

1)

First, find the values of each function:

[tex]f(x)=5x+4\\f(6)=5(6)+4\\f(6)=30+4=34[/tex]

[tex]g(x)=-2x+1\\g(-8)=-2(-8)+1\\g(-8)=16+1=17[/tex]

Therefore:

[tex]f(6)+g(-8)\\=(34)+(17)=51[/tex]

2)

Plug in the number into the function:

[tex]g(x)=-2x+1\\g(4)=-2(4)+1=-8+1=-7[/tex]

3)

Like the last one:

[tex]f(x)=5x+4\\f(-2)=5(-2)+4=-10+4=-6[/tex]

Answer:

4 bus is required for field trip to carry 200 passengers.

Step-by-step explanation:

Total no . of passengers = 200

let the be x bus required to carry 200 passengers

capacity of 1 bus = 60 passengers

capacity of x bus = 60*x passengers = 60x passengers

Thus,

60x = 200

x = 200/60 = 3 2/3

thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4

Thus, 4 bus is required for field trip to carry 200 passenger.

Answer:

3.5 X 10^4 < 2.1 x 10^6

Step-by-step explanation:

3.5 X 10^4 < 2.1 x 10^6

The first thing we look at is the exponent

10 ^4 is less than 10^6

10000 < 1000000

If the exponents are the same, then we look at the numbers out front

Answer:

7/12 is a rational

Step-by-step explanation:

because it is containing a quantity which are expressible

Answer:

Step-by-step explanation:

Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;

Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.

= 2(b+3c)

=  2(b)+ 2(3c)

= 2b +2*3*c

= 2b +6c

It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.

Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c

Answer:

C

Step-by-step explanation:

Find 120% of 150

1.2 x 150 = 180

Increase to 150

180 + 150 = 330

Hope that helped!!! k

Answer:the pairs are not a quadratic eqation

Step-by-step explanation:

The differences between the differences of the y value are not consistent

The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

A relation is a function if it has only One y-value for each x-value.

Given,

The set of ordered pairs

(5,7),(7,11),(9,14),(11,18)

We have to determine whether the  (5,7),(7,11),(9,14),(11,18) is quadratic function or not.

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

The difference between the y values is not same

11-7=4

14-11=3

18-14=4

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ2

Answer:

0.08%

Step-by-step explanation:

2 years,

the $800 plus $128 in interest. What simple interest rate did he pay?

128/2

$64 a year

64/800=0.08

so 0.08%

Answer:

Step-by-step explanation:

23x +2 = 15x+48x+6

To solve for x group like terms

That's

Send the constants to the right side of the equation and those with variables to the left side

We have

23x - 15x - 48x = 6 - 2

Simplify

- 40x = 4

Divide both sides by -40

We have the final answer as

Hope this helps you

Answer:

[tex]\sqrt[8]{197^{7} }[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{197^{7} }[/tex]

Answer:  70

Step-by-step explanation:

Antoine's elevation when he is halfway to the top is 70. You cut the diameter (120) in half which gets you 60 and you add the height of the stand holding the wheel (10) which gets you 70.

The his or her elevation should be 70.

Since the diameter is 120 And, elevation of Antoine should be halfway to the top so here we split the diameter into half i.e. half of 120 is 60 and there is the height for stand holding the wheel i.e. 10

So, the elevation should be

= 60 + 10

= 70

Therefore, The his or her elevation should be 70.

Learn more about elevation here: https://brainly.com/question/16616666

(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos

(because 5280 has 3 significant digits)

Answer:

D

Step-by-step explanation:

Answer:

1 / 14608440

Step-by-step explanation:

Given the following :

Winner has to select the five correct numbers between 1 and 35

Then, a single correct number between 1 and 45

Step1:

Number of ways to select 5 corre t numbers between 1 and 35; selecting 5 things from a total of 35 = 35C5

nCr = n! ÷ (n-r)!r!

35C5 = 35! ÷ (35-5)!5!

35C5 = 35! ÷ (30)!5!

= (35 * 34 * 33 * 32 * 31) / (5 * 4 * 3 * 2 * 1) = 324632 ways

Then find number of ways of selecting 1 correct number between 1 and 45:

45C1

45C1 = 45! ÷ (45-1)!1!

45C1 = 45! ÷ (44)!1!

45C1 = 45 ÷ 1 = 45

35C5 * 45C1 = 324632 * 45 = 14608440

Therefore, probability of winning the jackpot :

Required outcome / Total possible outcomes

= 1 / 14608440

Answer:

you can use a median method of counting and eliminating each side being each cut but the difference would it would be an equal number as the central off number cut divides one piece of wood into an even number.

Another operation is subtracting the cuts from the pieces you have 7 - 6 = 1 whole. Meaning the answer is correct if you are left with 1

If the cuts were even then you would have an a number of pieces that amount to an odd number.

So with 7 they are even and positive.

With counter checking they are positive as you always start with one piece of wood.

Answer:

B

Step-by-step explanation:

if it is shaded under than it is <

the slope is 1/2x so that is the answer

Answer:

3 and and half minutes--> 7ft

Step-by-step explanation:

If it travels 24 inches aka 2ft per minute

then it has to travel 12 inches aka 1ft in 30secs

SO

3mins and 30secs to travel 7ft

24inches--- 2ft---- per minute

4ft--- 2 mins

6ft---- 3mins

7ft--- 3minutes and 30 seconds

Answer:

-7/2

Step-by-step explanation:

cuz thats right

Answer:

y= 2x+1

hope it helps...........

Answer:

Standard deviation

Step-by-step explanation:

The standard deviation provides a measure of the overall variation in a data set. The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread.

Answer: 5(2+3n)

Step-by-step explanation:

Answer:

15n + 10 should be your answer.

Step-by-step explanation:

Answer:

=2ab +abk -2m- mk

= ab(2+k) -m(2+k)

=(2+k)(ab-m)

Step-by-step explanation:

Answer:

Step-by-step explanation:

North-east has a bearing of 45 degrees

South-west has a bearing of 225 degrees.

Taken anticlockwise,

angle = south-west - north-east

=  (225-45)

= 180 degrees

answer

hope this helps....

Answer:

slope = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 5)

m = [tex]\frac{5-0}{4-0}[/tex] = [tex]\frac{5}{4}[/tex]

Answer:

Step-by-step explanation:

Slope of a line is given by

where

m is the slope and

( x1 , y1) and (x2 , y2) are the points of the line

Slope of the line between the points

(0,0) and (4,5) is

Hope this helps you

Answer:

The formula for ABC Triangle

(AB×AC)/2

= (4.7×2.4)/

= 11,28/2

= 5,64 in²

Answer: When x=2 and z = 1, then the value of y =4.

Step-by-step explanation:

Given: y varies directly as x and z i.e. [tex]y\ \alpha \ xz[/tex]

[tex]y=k(xz)[/tex]      (i) , where k is the proportionality constant.

Put  Y=40 ,x =5 and z = 4, then we get

[tex]40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2[/tex]

Required equation: [tex]y=2(xz)[/tex]  [Put value of k in (i)]

Now put x=2 and z = 1, then we get

[tex]y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4[/tex]

Hence, when x=2 and z = 1, then the value of y =4.

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

[tex]v_1 = 60\ mph[/tex]

Sheyna drives back from the lake with average speed of 36 mph

[tex]v_2 = 36\ mph[/tex]

It took 2 hours less time to get there than it did to get back.

Let [tex]t_1[/tex] be the time taken to drive to lake.

Let [tex]t_2[/tex] be the time taken to drive back from lake.

[tex]t_2-t_1 = 2[/tex] hrs ..... (1)

To find:

Total time taken = ?

[tex]t_1+t_2 = ?[/tex]

Solution:

Let D be the distance to lake.

Formula for time is given as:

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

[tex]t_1 = \dfrac{D}{60}\ hrs[/tex]

[tex]t_2 = \dfrac{D}{36}\ hrs[/tex]

Putting in equation (1):

[tex]\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles[/tex]

So,

[tex]t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs[/tex]

[tex]t_2 = \dfrac{180}{36}\ hrs = 5\ hrs[/tex]

So, the answer is:

[tex]t_1+t_2 = \bold{8\ hrs}[/tex]

Answer:

The length of the rectangle is 13

Step-by-step explanation:

13 times 2 its equal 26

Hello There!!

Your best answer choice will be is A.

(2x + 7) feet.

Because, All you have to do for this problem is factor the equation. I would be hard to explain on this so I recomment you watch a video on it. If you did not know how to factor, you could have muliplied each of the answers by themselves to determine the correct answer because it is a square.

Hope This Helps!!

Answer:

(2x+7)

Step-by-step explanation:

4x^2 + 28x + 49

This is a perfect square trimonial

a^2 + 2ab + b^2 =  (a+b)^2

(2x)^2 + 2 * 2x*7 + 7^2

( 2x+7)^2