What conclusion would be true given the hypothesis?

Answer:

(f + g)(x) = 5x - 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 2x + 4 + 3x - 7 ← collect like terms

= 5x - 3

Answer:

5x - 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 2x + 4 + ( 3x - 7 )

= 5x - 3

Answer:

2). The cost of the trash cans and plastic bags.

Step-by-step explanation:

As per the details provided, the information regarding 'the cost incurred on buying the trash cans, as well as, plastic bags for the cleanup process' is very necessary to find the money left with the drama club from their earnings. The amount they earned within the day is given and the amount left is being asked in the question post the expenditure of the cans and plastic bags for the cleaning process. To subtract the incurred expense from the total earnings, one will need information regarding the cost of those bags and cans. Thus, option 2 is the correct answer.

Answer:

b

Step-by-step explanation:

Answer: B (option 3)

Step-by-step explanation:

When you multiply [tex]\sqrt{b}[/tex] by itself, the two square roots cancel our, giving you just b.

Answer:

Step-by-step explanation:

Answer:

slope= ⅗

Step-by-step explanation:

Rewrite the equation into the slope-intercept form, y=mx +c, where m is the gradient and c is the y-intercept.

3x- 5y= 0

+5y on both sides of the equation:

5y= 3x

Divide both sides by 5:

y= ⅗x

From the coefficient of x, the slope of the line is ⅗.

Answer:

34, and if 55 was replaced with 33, the new median would be 33.

Step-by-step explanation:

The median is the number that is in the middle of a data set, once the numbers are organized from least to greatest. If we put the numbers in order (18, 22, 24, 32, 34, 39, 55, 57, 59), the number in the middle is 34. If we do the same, but replace 55 with 33, (18, 22, 24, 32, 33, 34, 39, 57, 59), we get 33 as the median.

Answer:

D) 74

Step-by-step explanation:

1c = 6p

1c = 1.5f

1f = 296

6/1.5 = 4

296/4 = 74

Answer:

24

Step-by-step explanation:

2 hours * 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

4 * 6 customers = 24 customers

Answer: 24

A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.

We know that

2 hours x 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

= 4 x 6 customers

= 24 customers

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Step-by-step explanation:

does this mean the sale price includes the tax already ?

then we need to find 13% of the original price before taxes.

that would be done by saying that $101.94 are actuality 113% of the original price (original price = 100%, and then 13% are added).

101.94 = 113%

1% = 101.94/113

13% = 101.94 × 13/113 ≈ $11.73

that means it of the total sales price of $101.94, $11.73 would be the included taxes.

but if this means that 101.94 = 100% of the original price before taxes, we need to calculate the 13% based on that

101.94 = 100%

1% = 101.94/100

13% = 101.94 × 13/100 ≈ $13.25

and then the total price to be paid is

101.94 + 13.25 = $115.19

Answer:

The exact value is 106.40

Step-by-step explanation:

The exact value of the given operation obtained with the calculator is:

[tex] 35.23 \times 3.02 = 106.3946 [/tex]

The result expressed in 2 decimal places is:

[tex] 106.3946 = 106.40 [/tex]  

Therefore, the exact value is 106.40

I hope it helps you!

Answer:

B. (negative infinity, -1)

Answer:

100 degrees

Step-by-step explanation:

You can tell by just looking at the picture :)

9514 1404 393

Answer:

  y = 27·x²   or   (a, n) = (27, 2)

Step-by-step explanation:

Taking the log (base 3) of the given equation, we have ...

  [tex]\log_3(y)=n\cdot\log_3(x)+\log_3(a)[/tex]

Using the points given on the graph, we have 2 equations in n and 'a'.

  3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

  a = 3³ = 27

and

  7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

  4 = 2n

  2 = n

The values of a and n are 27 and 2, respectively.

Answer:

12 cm

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that the area of square is ,

> a² = 81 cm²

> a = √81 cm²

> a = ±9 cm

> a = 9cm ( -ve not possible )

Therefore perimeter ,

> P = 4a

> P = 4 * 9cm

> P = 36 cm .

We know all sides of ∆ are equal. therefore ,

> a + a + a = 36cm

> 3a = 36cm

> a = 36 cm/3

> a = 12cm

Answer: 251.2 cm3

Step-by-step explanation:

10x3.14x 8 = 251.2

Answer:

C) 10839

Step-by-step explanation:

.For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.

Step-by-step explanation:

Only 1 number works. 1 will make 819 which is divisible by 9.

Since it is 1 of ten numbers can go in the blank, the answer is 1/10 which is 0.1

The 10 number choices are

0,1,2,3,4,5,6,7,8,9

The only one that works is 1 as I've stated.

Answer:

Hope that will help you

Step-by-step explanation:

BD = 14.5

Answer:

the length of cube

is 2 mm

Answer:

2m

Step-by-step explanation:

A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height

Let the side of cube be x.  

Then Volume of cube = x * x * x

So, length (side) of cube is 2m

Given:

Modeling: Slope intercept equation of a line

To find:

The slope intercept equation of a line.

Solution:

The slope intercept equation of a line is defined as:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

It means the line intersects the y-axis at (0,b).

For example: The slope of a line is 2 and its y-intercept is 1, then the slope intercept of the line is:

[tex]y=2x+1[/tex]

Therefore, the slope intercept form of a line is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

Answer:

26

Step-by-step explanation:

We have the average rate of change on the interval [a,b] as

f(b)-f(a)/(b-a)

b = 1 and a = -4

f(b) = f(1) = -2(1)^3 -5 = -2-5 = -7

f(a) = f(-4) = -2(-4)^3 -5 = 128 -5 = 123

so we have;

(123 + 7)/(1+4) = 130/5 = 26

Answer:

hope it will be helpful to you

Answer:

..have a great day ahahahahah

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

[tex]\triangle ABD\sim \triangle ECD[/tex]

[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]

Substitute the values

[tex]\frac{AB}{1.45}=\frac{31.65}{5.45}[/tex]

[tex]AB=\frac{31.65\times 1.45}{5.45}[/tex]

[tex]AB=8.42m[/tex]

Hence, the height of the tree=8.42 m

Answer:

B.

Step-by-step explanation:

the visible line is the defined function.

this line goes from x=1 to x=4, and has the functional results from y=1 to y=7.

the domain is the valid interval of the input variable (typically x), while the range is the valid inescapable of the result variable (typically y).

so, B is the right answer.

Answer:

51= 1/2(160-x)

102=160-x

x=160-102=58

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A and B are the only answer choices that give you imaginary number outputs

But because the function in the answer choices is a negation of the original function they give different outputs, thus a different range

Therefore A is the correct answer

BRAINLIEST PLEASEEEEEEEE

Answer:

it is the first answer... has the same domain as  the function

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

AB + BC = AC , that is

5x + 4 + 4x - 8 = 23

9x - 4 = 23 ( add 4 to both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Then

AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C