Given the diagram below, which of the following ordered pairs represents the

8 times the sum of a number and 26 is less than 304.

Jlenok [28]

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

x+26 < 38

Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

Hope this helps!

7 0

1 year ago

Add the polynomials: x2 + 2x + 1 and y2 + 2x + 3.

cestrela7 [59]

<h3><u>Answer:</u></h3>

6x + 4 + 2y

<h3><u>Step-by-step explanation:</u></h3>

x2 + 2x + 1 + y2 + 2x + 3
=> 2x + 2x + 1 + 2y + 2x + 3
=> 4x + 1 + 2y + 2x + 3
=> 6x + 1 + 2y + 3
=> <u>6x + 4 + 2y</u>

<h3><u>Conclusion:</u></h3>

Therefore, the above answer is correct.

Hoped this helped.

$BrainiacUser1357$

8 0

2 years ago

Read 2 more answers

Does the equation below define a linear function? y = 3/x, when x ≠ 0

Arisa [49]

we know that

Linear function:

A linear function is a function whose graph is a straight line, that is a polynomial function of degree at most one

For exp: $y=mx+b$

Here , we are given

$y=\frac{3}{x}$

we can see that

x is in denominator

so, this can not be linear function........Answer

8 0

3 years ago

If f(x) = 2x – 6 and g(x) = x – 2x2, find each value.<br><br><br> f(h + 9)

Zigmanuir [339]

Answer:

Solution for If f(x) = 2x – 6 and g(x) = x – 2x2, find each value. f(2)

5 0

3 years ago

Rectangle divided into four rectangles. The perimeters of rectangle #1, #2, #3 #4 are 10 cm, 20 cm, 28 cm and 18 cm respectively

Neporo4naja [7]

Answer:

The perimeter of the big rectangle is 38 cm

Step-by-step explanation:

Rectangle 1 and rectangle 2 share the same width, let their width be a cm while Rectangle 3 and rectangle 4 share the same width, let their width be b cm

Rectangle 1 and rectangle 3 share the same length, let their length be x cm while Rectangle 2 and rectangle 4 share the same length, let their length be y cm

The perimeter of a rectangle = 2(length + breadth).

For rectangle 1:

Perimeter = 2(a + x) = 10

a + x = 5 1)

For rectangle 2:

Perimeter = 2(a + y) = 20

a + y = 10 2)

For rectangle 3:

Perimeter = 2(b + x) = 28

b + x = 14 3)

For rectangle 4:

Perimeter = 2(b + y) = 18

b + y = 9 4)

Adding equations 1, 2, 3 and 4 gives:

a + x + a + y + b + x + b + y = 5 + 10 + 14 + 9

a + a + b + b + x + x + y + y =38

2a + 2b + 2x + 2y = 38

2((a + b) + (x + y)) = 38

For the big rectangle, let its width = c = a + b and its length be d = x + y

The perimeter of the big rectangle = 2 (c + d)

Therefore:

2((a + b) + (x + y)) = 38

2(c + d) = 38 cm = The perimeter of the big rectangle

The perimeter of the big rectangle is 38 cm

5 0

4 years ago