Given:
The function is
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
It is a linear function, and domain and range of these types of functions are all real numbers.
Put x=0 in f(x), to find the y-intercept.
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
Divide both sides by 7.
So, the x-intercept is 
.
Therefore, 
.
Answer:
The volume is 648 cm
Step-by-step explanation:
9 cm x 6 cm = 54 cm
54 cm x 12 cm = 648 cm
Hope this helped.
X-12=20
Isolate x by adding 12 to both sides
x-12+12=20+12
x=32
Final answer: The number is 32.
Remember that difference is a keyword for subtraction.
A=12
120% of a =80% of b
120%a = 80%b
120a/100 = 80b/100
Divide through by 100
120a = 80b
Divide through by 80
120a/80 = b
But a=12
120x 12/80 = b
18 = b
b = 18
a+b = 12 + 18 = 30
<span><span><span><span>5x </span>+<span>2y </span></span></span>=<span>6
</span></span>Add -2y to both sides
<span><span>5x</span>=<span><span>−<span>2y</span></span>+6
</span></span><span><span><span></span></span></span>Divide both sides by 5
<span>x=<span><span><span><span><span>−2/</span>5</span></span>y </span>+<span><span> <span>6/5</span></span>
</span></span></span><span><span><span>that into the second equation:
</span></span></span>
<span><span><span>3<span>(<span><span><span><span><span>−2/</span>5</span></span>y</span>+<span><span><span>6/5</span></span></span></span>)</span></span>+<span><span><span>12/5</span></span>y </span></span>=4
simplify
</span><span><span><span><span><span>6/5</span></span>y</span>+<span><span><span>18/5</span></span> </span></span>=4
</span>Add (-18)/5 to both sides
<span><span><span><span>6/5</span></span>y</span>=<span><span>2/<span>5
divide both sides by 6/5
y = 1/3
substitute 1/3 for y in x = -2/5y +6/5 to solve for x
x = -2/5(1/3) +6/5
x = 16/15
so x = 16/15 and y = 1/3
now replace both x and Y in each of the original equations to check the answers:
5(16/15) +2(1/3) = 5 1/3 + 2/3 = 6 true
3(16/15) - -12/5(1/3) = 4 true
so they are parallel
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