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Tomtit [17]
3 years ago
12

NEED HELP!!!!! NOT IN A RUSH THOUGH

Mathematics
1 answer:
nexus9112 [7]3 years ago
6 0

gvgdyefuriiyuugujyyuy you

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Use the definition of continuity to determine whether f is continuous at a. f(x) = 5x+5 a = -5 Question
Andrej [43]

ANSWER

lim_{x \to  - 5}(f(x))  = f( - 5)

EXPLANATION

If f(x) is continuous at

x = a

Then,

lim_{x \to a}(f(x))  = f(a)

The given function is

f(x) = 5x + 5

f( - 5) =  5( - 5) + 5

f( - 5) =  - 25 + 5 =  - 20

lim_{x \to  - 5}(f(x))  = 5( - 5) + 5

lim_{x \to  - 5}(f(x))  =  - 20

Since,

lim_{x \to  - 5}(f(x))  = f( - 5)

The function is continuous at

x =  - 5

4 0
3 years ago
Read 2 more answers
A marketing consultant observed 40 consecutive shoppers to estimate the average money spent by shoppers in a supermarket store.
KonstantinChe [14]

Answer:

0.998 is the probability that the average money spent by  a sample of 40 shoppers is within $10 of the actual population mean.

Step-by-step explanation:

We are given the following information in the question:

Standard Deviation, σ = $21.51

We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

We have to find:

P( average money spent is within $10 of the actual population mean.)

= P( z \leq \displaystyle\frac{10\times \sqrt{40}}{21.51}}) = P(z \leq 2.94)

Calculation the value from standard normal z table, we have,  

P(z \leq 2.94) = 0.998

6 0
3 years ago
Solve this please .......​
nikdorinn [45]

Answer:

The sum of reciprocals is 2/3.

You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.

Step-by-step explanation:

a+b = 2

a*b = 3

1/a + 1/b = x

(a*b)*(1/a + 1/b) = (a*b)x

b + a = (a*b)(x)

2 = 3x

x = 2/3

b = 2 - a

a*(2 - a) = 3

-a^2 + 2a = 3

-a^2 + 2a - 3 = 0

a^2 - 2a + 3 = 0

let's solve the quadratic equation

a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0

(a - 1)^2 = -2

a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\

these options correspond to a and b from the original question.

8 0
2 years ago
Pleaseee help me asap
valkas [14]

Answer:

(0,-3)

Step-by-step explanation:

You can just graph it and find the center.

Please put me as brainliest. Thank you.

7 0
3 years ago
Trey evaluated 12/15 + 1/10 and got the answer of 13/25. which statement is true about this answer?
Ganezh [65]

Answer:

Option C. His answer is not correct, because the same can not be less than either attend

Step-by-step explanation:

we have

\frac{12}{15}+\frac{1}{10} =\frac{13}{25}

we know that

\frac{12}{15}=0.8

\frac{1}{10}=0.10

\frac{13}{25}=0.52

substitute

0.80+0.10=0.52 ----> is not true

therefore

His answer is not correct, because the same can not be less than either attend

6 0
3 years ago
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