How would you transform 5x + 2x into a single term? Substitute five different values into the expressions 5x + 2x and 7x - 1.

Answers

Answer 1

Answer: 5x + 2x = 7x
is it in a single term

Answer 2

Answer:

Final answer:

The expression 5x + 2x simplifies into 7x. Substituting the values 1, 2, 3, 4, and 5 for x in both expressions yields the results 7, 14, 21, 28, and 35 for 5x + 2x, and 6, 13, 20, 27, and 34 for 7x - 1.

Explanation:

The expression 5x + 2x can be simplified into a single term by adding the coefficients of similar terms. This means you add the 5 and 2 together. The result is 7x.

For substituting different values into the expressions 5x + 2x and 7x - 1, let's use 1, 2, 3, 4, and 5 as the values for x.

For x=1: 5(1) + 2(1) = 7 and 7(1)-1 = 6
For x=2: 5(2) + 2(2) = 14 and 7(2)-1 = 13
For x=3: 5(3) + 2(3) = 21 and 7(3)-1 = 20
For x=4: 5(4) + 2(4) = 28 and 7(4)-1 = 27
For x=5: 5(5) + 2(5) = 35 and 7(5)-1 = 34

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Which measurement is most accurate to describe the height of a door?10 m
75 cm
2 m
980 mm

Answers

10m is higher than a two- storey house.

980mm and 75cm are less than 1 metre.

The best answer here is 2m.

Final answer:

The most accurate measurement to describe the height of a door given the options is 2 m. Other options such as 10 m, 980 mm, and 75 cm are either unrealistically tall for a door or convert to less than 1 meter making them shorter than typical doors.

Explanation:

To determine the most accurate measurement to describe the height of a door, we need to consider the typical height of a door in most buildings. This generally ranges from 2.0 to 2.1 meters. Given the options provided, the closest and most accurate measurement to this range would be 2 m.

Let's break down the other options as well: The option of 10 m is quite unrealistic as that would make a door taller than the size of most two-story buildings. The options of 980 mm and 75 cm both convert to less than 1 meter (0.98 m and 0.75 m respectively), which would be shorter than a typical door.

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Determine the solutions to the following systems of the linear equations.

Answers

Answer:

1. (4,2)

2. No solution

3. (1,3)

All four sided polygons are quadrilaterals

Answers

This is a true statement (:

The inverse of the function f(x) = x + 10 is shown.h(x) = 2x –

What is the missing value?

Answers

we have

$f(x) = (1)/(2)x + 10$

Step $1$

Let

y=f(x)

$y = (1)/(2)x + 10$

Exchange the variable x for y and variable y for x

$x = (1)/(2)y + 10$

Clear variable y

Multiply by $2$ both sides

$2x = y + 20$

$y = 2x-20$

Let

$f(x)^(-1) =y$

$f(x)^(-1)=2x-20$

therefore

the answer is

the inverse of the function is $f(x)^(-1)=2x-20$

the missing value is $20$

Answer:

The Given function is

y= x + 10

To find the inverse of function , we use the following procedure

x=y-10

Now, replace x by y and y by x, we get the inverse of function

y=x -10 , is the inverse of the function, y=x+10.

As, it is given that inverse of f(x) is h(x)

Also, h(x)= 2 x - k-------(1)

Inverse of f(x)=x+10 is ,y= x-10, that is 2 y=2 x- 20------(2)

Comparing 1 and 2, gives

h(x)=2 y

-k=-20

k=20

Maximum or Minimum. Domain and range of
y=x^2-4x+4

Answers

$y=x^2-4x+4\n\na=1;\ b=-4;\ c=4\n\na > 0\ then\ minimum:\n\n(-b)/(2a)=(-(-4))/(2\cdot1)=(4)/(2)=2\n\ny_(min)=2^2-4\cdot2+4=4-8+4=0\n\n\ndomain:x\in\mathbb{R}\n\n\nrange:y\in\left<0;\ \infty\right)$