Answer:
x is any number less than -64; i.e. -66
Step-by-step explanation:
Inequality
3x + 23y - 15 < 0
where point (x,9) satisfies this
Substitute 9 for y
3x + 23(9) - 15 < 0
3x + 207 - 15 < 0
3x + 192 < 0 Take away 192 from both sides
3x < -192 Divide both sides by 3 to isolate x
x < -64
Check:
3(-64) + 23(9) -15 < 0
-192 + 207 - 15 < 0
-192 + 192 < 0
Therefore x must be less that -64 to satisfy the point (x, 9) in this inequality.
Answer:
width = 40 feet, length = 90 feet
Step-by-step explanation:
length = 2w + 10
width = w
Perimeter = 260
Perimeter of rectangle = 2length + 2width
Sub the values into that equation:
260 = 2(2w + 10) + 2(w)
260 = 4w + 20 + 2w
260 = 6w + 20
260 - 20 = 6w
240 = 6w
w = 240/6
w = 40
So now we know the width of the garden is 40 feet.
To find the length, substitute the width into the length equation:
length = 2w + 10
length = 2(40) + 10
length = 90 feet
length = 90 feet, width = 40 feet
To find the how many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive we have to apply exponent operation.
The storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.
Given:
The given exponent for gigabyte is,

The given exponent of megabyte is,

<h3>What is exponent rule?</h3>
- The power rule of exponent rule is defined as if raise the a number with exponent to power then we will mulitply exponent to the power times.
- to change the negative exponent into a positive we have to invert the base.
Calculate the storage capacity.

Thus, the storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.
Learn more about exponent rule here:
brainly.com/question/2254060
Absolute value is a number's distance away from 0. So, all answers are positive. -4/25 is 4/25's away from 0, so your answer is -4/25. To clarify: if you have the absolute value of ANY number, it will always be the positive version of itself.
I think the correct answer is true. <span>To be considered similar, two polygons must have corresponding sides that are in proportion. S</span><span>imilar polygons is referred as congruent polygons. Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object. </span>