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fiasKO [112]
2 years ago
10

Review the graph of function f(x).

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
6 0

The two limits when x tends to zero are:

\lim_{x \to \ 0^-}  f(x) = 1\\\\ \lim_{x \to \ 0^+}  f(x) = 0

<h3 /><h3>How to get the limits when x tends to zero?</h3>

Notice that we have a jump at x = 0.

Then we can take two limits, one going from the negative side (where we will go along the blue line)

And other from the positive side (where we go along the orange line).

We will get:

\lim_{x \to \ 0^-}  f(x) = 1\\\\ \lim_{x \to \ 0^+}  f(x) = 0

Notice that the two limits are different, that means that the function is not a continuous function.

If you want to learn more about limits:

brainly.com/question/5313449

#SPJ1

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Factor the following expression <br> 10x^5+5x^3-14x^2-7-
Tatiana [17]

Answer:

C. (5x^3-7)(2x^2+1)

Step-by-step explanation:

Given expression is,

10x^5+5x^3-14x^2-7

=10x^5-14x^2 + 5x^3 - 7  (By the commutative property)

=2x^2(5x^3-7)+5x^3-7     (Taking 2x^3 common from first two terms )

=(5x^3-7)(2x^2+1)      (Taking 5x^3-7 common from both terms)

\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)

Hence, Option C is correct

5 0
3 years ago
Please help i've been stuck on these for a bit now!
lisov135 [29]

Answer:

Q6. D

Q8. A

Step-by-step explanation:

Q6. In 40 trials, he flipped '2 heads and 1 tail' 16 times.

For 2 heads, probability= 16/40= 4/10

For 120 trials, number of times= 4/10 × 120= 48

Q8.

125x + 200 \geqslant 1200 \\ 125x \geqslant 1200 - 200 \\ 125x \geqslant 1000 \\ x \geqslant 1000 \div 125 \\ x \geqslant 8

Answer is A because the inequality shows that x is equal or greater than 8 so the dot at 8 has to be coloured.

Note that we do not change the inequality sign unless we are dividing the whole thing by -1.

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3 years ago
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Answer:

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2 years ago
Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later, what is the total amount tha
Lisa [10]
Answer:

Step-by-step explanation:
Interest formula -
I = P × R × T
I = 3,280 × 0.3% × 9
What I basically did there wws multiply the amount of money, the simple interest, and the time.
Turn 0.3% into a decimal by dividing by a 100 which should give you 0.003

I = 3,280 × 0.003 × 9

Put that into a calculator, you get $88.56

Now, that's just the interest amount. Now you add it back to 3,280 to get the *total* amount.

3,280 + 88.56 = 3,368.56

Cathy ends us paying $3,368.56

Hope what I said made sense.
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2 years ago
Mari adds 4 spoonfuls of honey to a pitcher of iced tea.Each spoonful holds 5 mL of honey. How many mL of honey did Mari add in
Marina86 [1]
The answer is fir this question 20 ml
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