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9966 [12]
3 years ago
9

How would you "remove the discontinuity" of f ? In other words, how would you define

Mathematics
1 answer:
balu736 [363]3 years ago
5 0
There is a hole at x=4 because the top factors to (x-4)(x+3)
in the end we get

f(x)=(x-4)(x+3)/(x-4)
the (x-4) cancels out and we get
f(x)=x+3
so baiscally f(x) is y=x+3 but with a hole at (4,7)


one way is to make a piecewise function defined as(x^2-x-12)/(x-4) for all x≠4 and defined as 7 for x=4

or, to just do f(x)=x+3
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2 years ago
Which number is a solution of a² +4= 6a – 1?<br> 07<br> 6<br> 7<br> 8
LuckyWell [14K]

Answer:

a=1 or a=5

Step-by-step explanation:

a^{2}+4=6a−1

Step 1: Subtract 6a-1 from both sides.

a^{2}+4−(6a−1)=6a−1−(6a−1)

a^{2}−6a+5=0

Step 2: Factor left side of equation.

(a−1)(a−5)=0

Step 3: Set factors equal to 0.

a−1=0 or a−5=0

a=1 or a=5

(is it helpful rate me according to that

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6 0
3 years ago
By the definition of complementary angles, since
svlad2 [7]

The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.

<h3>What are the missing statements in the proof?</h3>

Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.

Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.

Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.

Read more on complementary angles;

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8 0
2 years ago
Read 2 more answers
Juan used the expression 16 – 9 – 12 + 22 to find his profit for days 2 and 3. He rewrote the expression as 16 + (–9) + (–12) +
malfutka [58]

Jaun has to use inverse before using those properties as they does not support subtraction but only addition.

<u>Solution:</u>

Given that , Juan used the expression 16 – 9 – 12 + 22 to find his profit for days 2 and 3.  

He rewrote the expression as 16 + (–9) + (–12) + 22

Juan can use the associative and commutative properties to rewrite the expression again.  

We have to explain why he had to use the additive inverse before he could use these properties.

Now, Associative property and commutative property true for addition.

i) a + (b + c) = (a + b) + c  ---> Associative property of addition

ii) a + b = b + a --> commutative property of addition.

These properties not true for subtraction.

That's the reason Juan used additive inverse before applying these property.

Hence, jaun has to use inverse before using those properties as they does not support subtraction but only addition.

8 0
3 years ago
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What should the following equation be multiplied by in order to eliminate the fractions? {2y}{3} + {1}{3} = {y}{2} + {1}{6}
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Multiply it by 25 :)

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