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3 years ago

What is the solution set for this inequality?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

= > -6x + 30 < - 18

= > 30 + 18 < 6x

= > 48 < 6x

= > x > 48/6

= > x > 8...ans

<h2>Hope it Helps you!! </h2>

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Estimate the limit<br><br> A <br> B <br> C<br> D

Lera25 [3.4K]

Answer:

C. $\lim_{x\rightarrow f(x)=2$

Step-by-step explanation:

Given problem is $\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}$ .

Now we need to evaluate the given limit.

If we plug $\x=\frac{\pi}{4}$ , into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule

take derivative of numerator and denominator

$\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}$

$=\lim_{x\rightarrow \frac{\pi}{4}}\frac{sec^2(x)-0}{1-0}$

$=\frac{sec^2(\frac{\pi}{4})-0}{1-0}$

$=\frac{(\sqrt{2})^2}{1}$

$=\frac{2}{1}$

Hence choice C is correct.

5 0

3 years ago

Use the quadratic formula to find the solutions for..<br> y = 2x^2 - 9x + 5.

Yakvenalex [24]

Answer: $x=\frac{9}{4}-\frac{\sqrt{41} }{4} \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}$

Step-by-step explanation:

$2x^2-9x+5$

a=2

b=-9

c=5

$x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(-9)\frac{+}{}\sqrt{(-9)^2-4(2)(5)} }{2(2)}$

$x=\frac{9\frac{+}{}\sqrt{81-40} }{4}$

$x=\frac{9\frac{+}{}\sqrt{41} }{4}$

$x=\frac{9}{4}-\frac{\sqrt{41} }{4} \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}$

4 0

3 years ago

Find the exact value in the picture above

fomenos

Answer:

A and B

Step-by-step explanation:

You can take a look at a unit circle to find the solution to this problem (see below).

$\cos^{-1}\left( \dfrac{\sqrt{2}}{2} \right)= \\\\\\\pm \dfrac{\pi}{4}= \\\\\\\dfrac{\pi}{4}, \dfrac{7\pi}{4}$

Hope this helps!

7 0

3 years ago

What is 0.8% as a decimal

Usimov [2.4K]

Percentages are parts of 100, so to convert 0.8% to a decimal, we just divide 0.8 by 100.

0.8 / 100 = 0.008

Dividing by 100 is the same as moving the decimal place two times to the left.

4 0

3 years ago

Read 2 more answers

At the city museum, child admission is $5.20 and adult admission is $8.90 . on friday, 159 tickets were sold for a total sales o

Zinaida [17]

Total tickets sold = 159
Total sales = $1100.60
Child admission = $5.20
Adult admission = $8.90

Assumed all 159 tickets are Child admission tickets
Total sales = 159 x 5.2 = $826.80

Difference in amount = $1100.60 - $826.80 = $273.80
The difference must be contributed by the Adult Admission Tickets, which has a difference of $8.90 - $5.20 = $3.70

$273.80 ÷ $3.70 = 74 adult tickets

159 - 74 = 85 child tickets

5 0

3 years ago