g(x) = 5 - 2.7
What is the domain of g?

Answer:

420 cm

Step-by-step explanation:

Answer:

If the input is n then the output f(n) will be 4n - 8.

Step-by-step explanation:

Let the input of the function is denoted by x and the output is denoted by y.

Then, two ordered pairs of the linear function i.e.(x,y) are (2,0) and (3,4).

Therefore, the relation between x and y i.e. the equation of the straight line will be given by

[tex]\frac{y - 4}{4 - 0} = \frac{x - 3}{3 - 2}[/tex]

⇒ y - 4 = 4(x - 3)

⇒ y = 4x - 8

⇒ f(x) = 4x - 8

Therefore, if the input is n then the output f(n) will be 4n - 8. (Answer)

Answer:

81

Step-by-step explanation:

To find the 21 st term substitute n = 21 into the formula

[tex]x_{21}[/tex] = 4(21) - 3 = 84 - 3 = 81

Answer:

The equation of the line in point slope form is equal to

[tex]y+2=(x+2)[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

(-2,-2) and (2,2)

substitute the values

[tex]m=\frac{2+2}{2+2}=1[/tex]

step 2

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=1\\(x1,y1)=(-2,-2)[/tex]

substitute the values in the formula

[tex]y-(-2)=(1)(x-(-2))\\y+2=(x+2)[/tex]

Answer:

Step-by-step explanation:

When learning about commutative and associative properties, we learn that ...

  a + b = b + a . . . . . addition is commutative

  ab = ba . . . . . . . . . multiplication is commutative

But we also know that ...

  a - b ≠ b - a . . . . . . subtraction is not commutative

  a/b  ≠ b/a . . . . . . . . division is not commutative

__

We also learn that ...

  a + (b+c) = (a+b) +c . . . . addition is associative

  a(bc) = (ab)c . . . . . multiplication is associative

And of course, ...

  a - (b -c) ≠ (a -b) -c . . . . subtraction is not associative

  a/(b/c) ≠ (a/b)/c . . . . . . . division is not associative

_____

However, you can use associative and commutative properties in problems involving subtraction and division if you write the expression properly:

  a - (b - c) = a +(-(b -c)) = a +((-b) +c) = (a +(-b)) +c . . . . keeping the sign with the value makes it an addition problem, so the associative property can apply

  (a/b)/c = (a(1/b))(1/c) = a(1/b·1/c) = writing the division as multiplication by a reciprocal makes it so the associative property can apply

Answer:

addition

multiplication

The function that represents the interest on this loan after years is Interest = Principal × Rate × Time.

The function that represents the interest on this loan after years can be calculated using the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal is $8,000, the rate is unknown, and the time is 2 years. The interest paid back is $8,160, so we can rewrite the formula as:

$8,160 = $8,000 × Rate × 2

Dividing both sides of the equation by $8,000 × 2 gives:

Rate = $8,160 / ($8,000 × 2)

Solving this equation gives a rate of 0.51, or 51%.

Answer:

90 yards a minute

Step-by-step explanation:

The way to figure this out is simple. Just do the amount of yards he or she did total, which is 450, then divided it by the amount of time it took him or her to do so, which is 5 minutes, meaning the equation is 450 divided by 5 equaling 90.

Answer:i think its 90

Step-by-step explanation:

450 / 5 = 90

Answer:

B, hope this helps you!

The general strategy for solving an equation of the form x/a = b is to multiply both sides by a.

A mathematical statement that two expressions are equal: it is either an identity in which the variables can assume any value, or a conditional equation in which the variables have only certain values (roots) the act of regarding as equal .

Solving equations is computing the value of the unknown variable still balancing the equation on both sides.

The general strategy for solving an equation of the form x/a = b

To solve this equation we will multiply both sides by a

On multiplying

x = ab

Therefore Option B. multiply both sides by a is the correct answer.

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Answer:

Step-by-step explanation:

7/12 is greater than 1/3 because it has a greater numerator and denominator it is less than 2/3 because the numerator is smaller

Answer:

y = -(1/2)x + 2

Step-by-step explanation:

2y = -x + 4

y = (-x + 4)/2

y = -(1/2)x + 2

Kim's gross pay for this week is $292.50.

To calculate Kim's gross pay for this week,

we multiply the number of hours she worked by her hourly rate.

In this case, Kim worked 39 hours and her hourly rate is $7.50.

So, we can multiply 39 by $7.50 to find her gross pay.

39 * $7.50 = $292.50

Therefore, Kim's gross pay for this week is $292.50.

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Answer:

y = 150 - 11x

Step-by-step explanation:

Janelle is starting out with 150 surveys and if she is conducting 11 surveys an hour, then that means you need to subtract 11x from 150 because that will give you how many surveys she has left.

Answer: y = 5

Step-by-step explanation:

This triangle is isosceles.

So, ∠ABC = ∠ACB = 75°

Now,

sum of interior angles of a triangle = 180°

∠ABC + ∠ACB + ∠BAC = 180°

75° + 75° + (4y + 10)° = 180°

160° + 4y° = 180°

4y° = 20°

y = 5

Answer:

x = -2

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer:

Plumber A has greater initial fee

Step-by-step explanation:

Plumber B:

Hourly charge = 160 - 105 = $55

Initial charge = 105 - 55 = $50

Equation: y = 50 + 55x

Answer:

C

Step-by-step explanation:

For plumber A : y = 100 + 30x

For plumber B :

Let the total charge be y

Initial charge be x

Hourly rate be za

For total price = 105 in 1hr

105 = x + a ........(1)

For 160 total charge in 2hrs

160 = x + 2a .........(2)

Substracting (1) from (2)

160 - 105 = 2a - a

55 = a

Substituting a = 55 in (1)

105 = x + a

105 = x + 55

x = 105 - 55

x = 50

:- equation for total charge is

y = 50 + 55a

Answer:

y = x - 4

Step-by-step explanation:

equation of a line can be expressed as

(x - x1)/(x2 - x1) = (y - y1)/(y2 - y1)

(x - 5)/(10 - 5) = (y - 2)/(-3 - 2)

cross multiplying,

-5(x - 5) = 5(y - 2)

clearing the parentheses

-5x + 10 = 5y - 10

hence,

5y = 5x - 20

y = x - 4

Answer:

vertex (-3 , 7)

Step-by-step explanation:

vertex (h, k)     f(x) = a | x - h | + k

f(x) = |x + 3|+ 7 ,    h = - 3 and k = 7

vertex (-3 , 7)

The value of vertex of the graph would be,

⇒ (-3 , 7)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We know that;

Standard form of equation is,

⇒  f(x) = a | x - h | + k

Where, vertex = (h, k)  

Here, The equation of graph is,

f(x) = |x + 3|+ 7 ,    

And, h = - 3 and k = 7

Thus, The value of vertex of the graph would be,

⇒ (-3 , 7)

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Multiply the weight by the amount they took out:

4 2/5 x 5/8

Rewrite as 22/5 x 5/8

(22 x 5) / (5 x 8)

Simplify:

110/40

Rewrite as a proper fraction:

2 3/4 ounces.

Answer:

314 mile²

Step-by-step explanation:

area = πr² = 3.14 x 10² = 314 mile²

Answer:

when you have two fractions that equal each other you want to solve by using cross multiply

What cross multiply is, is when you multiply diagonally so:

8/x=14/7

you would take 14*x and 8*7

14x=56 (you would then divide each side by 14)

x=4 (14/14=1, 56/14=4)

8/4=14/7

To check your work you could simplify

8/4=2

14/7=2

2=2, which is true

x=4

Hope this helps ;)

A function from x to y represents a situation where each x value is linked to a unique y value. This can be represented in a mapping diagram, such as with the points (1,5), (2,10), (3,7), and (4,14). Such a diagram showcases the fact that different x values trigger different y values, demonstrating the dependence of y on x.

A function from x to y implies that when the value of x changes, it directly influences the value of y. One way to represent this is through a mapping diagram.

A mapping diagram that represents a function can be visualised as each value of x corresponding to a unique value of y. For example, refer to the following points: (1,5), (2,10), (3,7), and (4,14). Here, every x value is paired with a unique y value. When these points are plotted, there's no x value that corresponds to more than one y value, demonstrating the dependence of y on x.

Therefore, a function from x to y is represented by a mapping diagram where different x values are linked to unique y values, showing the dependency of y values on the x values.

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Answer:

22 + 5 ÷ 9 = 3

Proof:

27/9

= 3

the number is 22

The tip i will leave is of 6 dollars.

Percentage is the value per hundredth. Suppose we have 500 dollars and we need find 50% of it.We know 50% of 500 dollars is half of it which is 250 dollars.

To find 50% of 500 dollars we put the the given percentage on numerator and divide by hundred and multiply it by the given amount.

∴ (50/100)×500

= 250 dollars.

According to the given question

You go out to dinner and the bill is $40 and you want to leave the server a 15% tip.

We have to find what is 15% of 40 dollars which is

= (15/100)×40 dollars.

= 6 dollars.

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Answer:

x = 7.002 or 7

Step-by-step explanation:

5x/3 + 1/3 = 12

        - 1/3  - 1/3

5x/3 = 11 2/3

3(5x/3) = 3(11 2/3)

5x = 35.01

x = 7.002 or 7

The water will last for 3 days

Solution:

Given that, village having a population of 4000, requires 150 litres of water per head per day

Let us first find the volume of tank

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

[tex]volume\ of\ tank = length \times breadth \times height[/tex]

[tex]Volume\ of\ tank = 20 \times 15 \times 6 = 1800[/tex]

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

Therefore, water required for 4000 people per day is:

[tex]\rightarrow 4000 \times 150 = 600000 \text{ liters }[/tex]

Convert to meters

[tex]600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3[/tex]

How many days will the water of this tank last?

[tex]\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}[/tex]

[tex]\text{Number of days water will last } = \frac{1800}{600} = 3[/tex]

Thus the water will last for 3 days

Answer:

6

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

j u s t a g u e s s b u t i t h i n k i t s r i g h t

To find the area percentage increase when the area of a parallelogram increased from 40 to 128 square centimeters, calculate the percentage change as 220%.

The area percentage increase can be calculated as follows:

Answer:

1370.75

Step-by-step explanation:

Answer:

the answer to the inequality is x>-6

Step-by-step explanation:

x+8>2

x>2-8

x>-6