Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Note that y = f(x)
Given
9x + 3y = 12 ← Rearrange making y the subject
Subtract 9x from both sides
3y = - 9x + 12 ( divide all term by 3 )
y = - 3x + 4, thus
f(x) = - 3x + 4
Answer:
28 cm
Step-by-step explanation:
Given that :
Area = 791 cm
Base, b1 = 26.5 cm
Base, b2 = 30 cm
Area, A of trapezoid :
A = 1/2 (a + b) h
Where a and b are the bases ;
791 = 1/2(26.5 + 30)h
791 = 0.5(56.5)h
791 = 28.25h
h = 791 / 28.25
h = 28 cm
Subtract the exponents when the base number is the same.
2 - 7 = -5
So 9^-5 or 1/9^5.
Answer:
-22
Step-by-step explanation:
5(4+6)-72
5(10)-72
50-72
-22
<h3>
Answer: D) One solution</h3>
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Work Shown:
2(b+3)-17 = 3b-7+b
2b+6-17 = 4b-7
2b-11 = 4b-7
-11+7 = 4b-2b
-4 = 2b
2b = -4
b = -4/2
b = -2
There is one solution and it is b = -2
A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.
