Answer:
it is C)15x - 175 < 10
Step-by-step explanation:
1. Slope-intercept form is y=mx+b, where m=slope and b=y-intercept. To answer this question, plug in the values they have given you.
y=mx+b
y=1/4x-5
2. To write an equation in slope-intercept form when given two points, use m=y2-y1/x2-x1
Remember: in an ordered pair, x comes first then y.
Plug the y- and x-values in. So, y2=6, y1=2 and x2=-2, x1=9
6-(-)2/-2-9= - 4/11.
The slope of your next equation would be m= - 4/11
Answer:
We can measure 4 gallon by successively.
Step-by-step explanation:
We have been given that you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respectively. We are asked to prove or disprove that you can measure 4 gallon by successively pouring some of or all of the water in a jug into another jug.
First of all, we will pour 5 gallons of water from 8 gallon jug. Then we will pour 5 gallons of water from 5 gallon jug to 3 gallon jug. That will result in 2 gallons of water in 5 gallon jug.
Now, we will pour 3 gallons of water from 3 gallon jug to 8 gallon jug and pour 2 gallons from 5 gallon jug into 3 gallon jug. That will give us 6 gallons in 8 gallon jug and 2 gallons in 3 gallon jug and empty 5 gallon jug.
In our last step, we will fill 5 gallons jug from 8 gallon jug. After filling 5 gallon jug, we will fill 3 gallons jug from 5 gallon jug. Since 3 gallon jug already contains 2 gallons water, so it can only take one more gallon.
After pouring one gallon from 5 gallon jug, we will get 4 gallons water in 5 gallon jug.
Therefore, we can measure 4 gallon by successively pouring some of the water in a jug into another jug.
Using it's concept, the probability of choosing a number that is a multiple of 9 is of 0.111.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
From 1 to 81, there are 81 numbers, of which 81/9 = 9 are multiples of 9, hence, considering that 81 is the number of total outcomes and that 9 is the number of desired outcomes, the probability is given the following division:
p = 9/81 = 1/9 = 0.111.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
f(7) = - 25
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x), that is
f(7) = - 5(7) + 10 = - 35 + 10 = - 25
