Answer:
2x - 3 = 3x + 2
Step-by-step explanation:
Assign a variable for the number:
let x be the number
Take apart the question and convert words to algebraic symbols. "times" is multiplication. "less than" is subtraction from. "more than" is addition to.
3 less than 2 times a number
2x - 3
= is the same as
2 more than 3 times the number
3x + 2
Put the parts together:
2x - 3 = 3x + 2
This equation represents the situation.
Answer: 4/7
This is a fraction
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The two points are (x1,y1) = (2,3) and (x2,y2) = (9,7)
Which breaks down to these four facts
x1=2
y1=3
x2=9
y2=7
Plug those values into the slope formula below and simplify
m = (y2 - y1)/(x2 - x1)
m = (7 - 3)/(9 - 2)
m = 4/7
The slope is 4/7
Side Note: slope = rise/run = 4/7 so rise = 4 and run = 7. Meaning that each time we go up 4, we also go to the right 7
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Answer:
B, C
Step-by-step explanation:
The attached shows the function values for x={4, 1, -1, -2} are {15, 0, 2, 3}.
Statements ...
are correct.
Answer:
The current that produces maximum power is 3A
Step-by-step explanation:
Given
Required [Missing from the question]
The current that produces maximum power
First, we represent the function in standard form
Open bracket
The maximum value of c is:
Where:
By comparison:
So, we have:
Answer:
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Step-by-step explanation:
The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.
28x - 7 + 24x + 18 = 180
52x + 11 = 180
52x = 169
x = 169/52
x = 3.25
Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.
12y + 30 = 24x + 18
We know that x = 3.25.
12y + 30 = 24(3.25) + 18
12y + 30 = 78 + 18
12y = 66
y = 66/12
y = 5.5
I don't know what the problem is asking for since you don't show.
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
