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2 years ago

Need help evaluating the limits for this problem.

Mathematics

1 answer:

TEA [102]2 years ago

4 0

Answer:

a) c
b) c
c) c
d) DNE

Step-by-step explanation:

There is nothing about the definition of q(x) that keeps you from evaluating the limit by substituting the value b for x in the appropriate definition.

a) from the left: lim = a(b -b)^3 +c = 0 + c = c

b) from the right: lim = a(b -b) +c = 0 + c = c

c) the limit from the left is equal to the limit from the right, so the limit exists and is that value: c.

d) the function is undefined at x=b, so q(b) does not exist. (The graph has a hole at that point.)

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Solve the inequality and express your answer in interval notation<br> x^2+8x+5 <0

irakobra [83]

The interval notation is $(-\sqrt{11}-4, \sqrt{11}-4)$

Explanation:

The inequality is $x^{2}+8 x+5$

Let us complete the square, we get,

$x^{2}+8 x+5+4^{2}-4^{2}$

Simplifying, we have,

$(x+4)^{2}+5-4^{2}$

$(x+4)^{2}-11$

Adding both sides of the equation by 11, we get,

$(x+4)^{2}$

Since, we know that for $u^{n}$ , if n is even then $-\sqrt[n]{a}$

Thus, writing the above expression in this form, we get,

$-\sqrt{11}$

Also, if $a$ then $a$ and $u$

Then ,we have,

$-\sqrt{11}$ and $x+4$

Solving the inequalities, we get,

$-\sqrt{11}\ \ \ \ \ \$ and $x+4$

Merging the intervals, we have,

$-\sqrt{11}-4$

Hence, writing the solution in interval notation, we have,

$(-\sqrt{11}-4, \sqrt{11}-4)$

Therefore, the answer is $(-\sqrt{11}-4, \sqrt{11}-4)$

7 0

3 years ago

PLEASE HURRY! i’ll give brainliest

butalik [34]

Answer:

Step-by-step explanation:

The answer would be a dot plot hope this helps

7 0

2 years ago

Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper H Subscript a Baseline : mu less than 20Ha: μ<20 where muμ is

kolezko [41]

Answer:

Test: $\mu$ < 20 with normal distⁿ

Hypothesis test:

H0: $\mu \ge$ 20 (Null Hypothesis, H₀ : $\mu$ = 20 is also correct)

H1: $\mu$ < 20 (Alternative Hypothesis, also called H₁)

This is lower tailed test.

Since sample is large, sample standard deviation can be taken as an approximation of population standard deviation.

x = 19.3

$\sigma$ = 11.1

n = 444

significance level, $\alpha$ = 0.05 (If no value is given, we take level of 0.05)

Test statistic $z* = \frac{x-\mu}{\sigma/\sqrt{n}}$

$= \frac{19.3-20}{11.1/\sqrt{444}}$

= - 1.33

The attached files contains additional information

6 0

3 years ago

Can you please tell me what is <br>-49cd – 7c

REY [17]

Answer:-7c(7d+1)

Step-by-step explanation:

factor -7c out of -49cd-7c

(factor the expression)

8 0

2 years ago

Jim has gotten scores of 100 and 63 on his first two tests. What score must he get on his third test to keep an average of 85 or

Greeley [361]

Answer:

Step-by-step explanation:

x= the ideal mark for his third test

100 + 63 + x/3 = 85

163+x=85x3

163 + x = 255

x=92

He would need to get at least a 92 to have the 85 average.

3 0

2 years ago