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3 years ago

Solve each inequality. (x – 3)(x - 2)^2 > 0

Mathematics

1 answer:

Rudiy273 years ago

6 0

Answer:

Write it like x>3 instead.

Work:

Solve for x by simplifying both sides of the inequality, then isolating the variable.

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Can someone please help me with this? Mhanifa? I will mark brainliest

den301095 [7]

Answer:

Option C 20

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3 years ago

3/4 = j−12. Algebra

Studentka2010 [4]

First, we simplify this to 3/4-j/12=0. 4/4=1 so we do, -j=-51/4*-1. Therefore, the answer is j=51/4. Hoped I helped. :)

6 0

3 years ago

Read 2 more answers

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

katrin [286]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

5 0

3 years ago

Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...

timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

, $a_7=\frac{1}{1296}$ .............Answer

6 0

3 years ago

You need to wrap a present that you will put inside a cylindrical container. You’ll need to know how much will fit in the conta

nirvana33 [79]

Answer:

149.28 sq. inches

137.5 cubic inches.

Step-by-step explanation:

The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.

Now, total surface area of the container = $2\pi r^{2} + 2\pi rh$

= $\frac{2 \times 22 \times (2.5)^{2} }{7} + \frac{2 \times 22 \times 2.5 \times 7}{7}$

= 39.28 + 110

= 149.28 sq. inches (Answer)

Again the volume of the container will be $\pi r^{2}h$

= $\frac{22 \times (2.5)^{2} \times 7}{7}$

= 137.5 cubic inches. (Answer)

6 0

3 years ago