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-BARSIC- [3]
3 years ago
5

How do you find the constant rate of change

Mathematics
1 answer:
Anon25 [30]3 years ago
8 0
Rate of change = \frac{y2 - y1}{x2 - x1}
So grab 2 Y's first and then subtract
7 - 3 = 4
and do the same for X
4 - 2 = 2
Simplify
4/2 = 2
2 is your rate of change
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Let f (x) = 3x − 1 and ε > 0. Find a δ > 0 such that 0 < ∣x − 5∣ < δ implies ∣f (x) − 14∣ < ε. (Find the largest
s344n2d4d5 [400]

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and \varepsilon>0, we want to find a \delta such that |f(x)-14|

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that |x-5|. Then

|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta.

Then, if |x-5|, then |f(x)-14|. So, in this case, if 3\delta \leq \varepsilon we get that |f(x)-14|. The maximum value of delta is \frac{\varepsilon}{3}.

By definition, this procedure proves that \lim_{x\to 5}f(x) = 14. Note that f(5)=14, so this proves that f is continous at x=5.

3 0
3 years ago
Which expression is equivalent to 6x^2 + 13x + 5?
hodyreva [135]

The signs of the x-term and the constant term are both positive, so the signs of the constants in the binomial factors must be the same and must both be positive. The only offering that meets that requirement is

... C (2x+1)(3x+5)

_____

If you multiply that out, you get 6x² + 10x + 3x + 5 = 6x² +13x +5, as required.

The sign of the constant term is the product of the signs of the constants in the binomial factors: (+1)·(+5). We want a positive sign for the constant, so both binomial factor constants must have the same sign.

When the signs of the binomial factor constants are the same, the x-term constant will match them. Thus, for a positive x-term constant, both binomial factor constants must be positive.

3 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPP
Juliette [100K]

Step-by-step explanation:

  • x^2+10x=0

(x+10)(x-0)=0

x=-10 and x=0

  • x=-10 in x^2+10x+h=h

(-10)^2+10(-10)+h=h

100-100+h=h

0=0

  • x=0 inx^2+10x+h =h

0^2+10(0)+h=h

0+h=h

0=0

I think,you miss some numbers

if you don't miss some numbers, this solution is no solution

3 0
3 years ago
6x – 8y = -94
Korolek [52]

Answer:

photomath, assistant in mathematics, will decompose everything and give the correct answer.

6 0
3 years ago
What is the probability of not rolling a number larger than 4 with a fair die?
Fiesta28 [93]
Find the probability of rolling a number bigger than 4 and subtract that by 100%; 

P(5)= 1/6 <-- 6 possible outcomes, 1, 2, 3, 4, 5 or 6
P(6)= 1/6 

You could have rolled a 5 or 6. When the word or is used, the probabilities are added together, when and is used, they are multiplied. 

(1/6)+(1/6)=2/6 

1-P(5)+P(6) 
=1-(2/6) 
=(6/6)-(2/6)
=4/6 

Therefore the probability of not rolling a number larger than 4 is 4/6 or 2/3.

Hope I helped :) 
4 0
4 years ago
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