Answer: 36
Step-by-step explanation:
Multiply -6 by itself six times, then divide 1 by -6 four times. Multiply the products. Then multiply -6 by itself one more time and you will get 36.
The top question is 1/4. There seems to be a small multiplaction symbol next to the fractions, I'm ignoring that. To get 1/4, I multiplied 2 by itself six times because of the exponent, to get 64. I did the same with the bottom, and recieved 256. 64/256 is 1/4.
The blank spaces about the passage can be filled with the following correct vocabulary respectively.
- inequality
- strict inequality
- compound inequality
- solution sets
- true
<h3>Inequality</h3>
An <u>inequality</u> is a relation between two numbers and/or expressions that are related via <, >, ≥ or ≤ sign.
A <u>strict inequality</u> is an expression that uses < and >. It tells us that one side is only more or less than the other side.
When 2 simple inequalities are joined by or and, we get a <u>compound inequality</u>.
When solving an inequality, the solution will be a range of values called its <u>solution sets</u>. The inequality will remain <u>true</u> for every single value in this range.
The inequality signs are;
- Greater than >
- Less than <
- Greater than or equal to ≥
- Less than or equal to ≤
- Equal to =
Learn more about inequality:
brainly.com/question/25275758
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The line through (a,b) with slope m is
y-b = m(x-a)
Here that's
y + 1 = (3/4) (x - 2)
Let's multiply by 4 to clear the fractions and distribute the constants,
4y + 4 = 3x - 6
Rearranging into standard form,
3x - 4y = 10
Check. The slope is 3/4, good. 3(2) - 4(-1) = 6+4 = 10 good
Answer: 3x - 4y = 10
Answer:
4:1
Step-by-step explanation:
Answer:
(- 7, 4 )
Step-by-step explanation:
Given the 2 equations
5x + 3y = - 23 → (1)
y = 4 → (2)
Substitute y = 4 directly into (1_
5x + 3(4) = - 23, that is
5x + 12 = - 23 ( subtract 12 from both sides )
5x = - 35 ( divide both sides by 5 )
x = - 7
Solution is (- 7, 4 )