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sineoko [7]
3 years ago
14

Hello, I know this isn’t a homework question but I am not able to skip this activity right here and I can’t seem to find out why

. The guy speaking kept saying “Use the tool to help solve the linear system of equations” but I can’t seem to understand what tool . Is this some sort of glitch?

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

This is more of a computer kind of thing, but try clicking the next thing at the bottom.

Step-by-step explanation:

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TIMED PLEASE HURRY HELP WITH 2 EASY QUESTIONS
Alex_Xolod [135]
<h2>                         Question # 1</h2><h2>Which statements are true?</h2><h2 /><h3><u>Analyzing and solving the first statement:</u></h3>
  • 4g^2-g=g^2\left(4-g\right)

Solving the expression

4g^2-g

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c

g^2=gg

So,

4gg-g

\mathrm{Factor\:out\:common\:term\:}g

g\left(4g-1\right)

So,

4g^2-g:\quad g\left(4g-1\right)

Therefore, the statement 4g^2-g=g^2\left(4-g\right) is NOT CORRECT.

<h3><u>Analyzing and solving the second statement:</u></h3>
  • 35g^5-25g^2=\:5g^2\left(7g^3-5\right)

Solving the expression

35g^5-25g^2

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c

g^5=g^3g^2

So,

35g^3g^2-25g^2

\mathrm{Rewrite\:}25\mathrm{\:as\:}5\cdot \:5

\mathrm{Rewrite\:}35\mathrm{\:as\:}5\cdot \:7

5\cdot \:7g^3g^2-5\cdot \:5g^2

\mathrm{Factor\:out\:common\:term\:}5g^2

5g^2\left(7g^3-5\right)

So,

35g^5-25g^2=\:5g^2\left(7g^3-5\right)

Therefore, the statement 35g^5-25g^2=\:5g^2\left(7g^3-5\right) is CORRECT.

<h3><u>Analyzing and solving the third statement:</u></h3>
  • 24g^4+18g^2=\:6g^2\left(4g^2+3g\right)
<h3 />

Solving the expression

<h3>24g^4+18g^2</h3><h3>24g^2g^2+18g^2</h3><h3>\mathrm{Rewrite\:}18\mathrm{\:as\:}6\cdot \:3</h3><h3>\mathrm{Rewrite\:}24\mathrm{\:as\:}6\cdot \:4</h3><h3>6\cdot \:4g^2g^2+6\cdot \:3g^2</h3><h3>\mathrm{Factor\:out\:common\:term\:}6g^2</h3><h3>6g^2\left(4g^2+3\right)</h3>

So,

<h3>24g^4+18g^2=6g^2\left(4g^2+3\right)</h3>

Therefore, the statement 24g^4+18g^2=\:6g^2\left(4g^2+3g\right)  is CORRECT.

<h3><u>Analyzing and solving the fourth statement:</u></h3>
  • 9g^3+12=\:3\left(3g^3+4\right)

Solving the expression

9g^3+12

\mathrm{Rewrite\:}12\mathrm{\:as\:}3\cdot \:4

\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3

3\cdot \:3g^3+3\cdot \:4

\mathrm{Factor\:out\:common\:term\:}3

3\left(3g^3+4\right)

So,

9g^3+12=\:3\left(3g^3+4\right)

Therefore, the statement 9g^3+12=\:3\left(3g^3+4\right) is CORRECT.

<h2>                         Question # 2</h2><h2>Which expressions are completely factored?</h2>

<u>Solving first expression</u>

Considering the expression

  • 30a^6-24a^2

30a^6-24a^2

30a^4a^2-24a^2

\mathrm{Rewrite\:}24\mathrm{\:as\:}6\cdot \:4

\mathrm{Rewrite\:}30\mathrm{\:as\:}6\cdot \:5

6\cdot \:5a^4a^2-6\cdot \:4a^2

\mathrm{Factor\:out\:common\:term\:}3a^2

3a^2\left(10a^4-8\right)

Thus, the expression 30a^6-24a^2=3a^2\left(10a^4-8\right)\: is completely factored.

<u>Solving second expression</u>

Considering the expression

  • 12a^3-8a

12a^3-8a

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c

a^3=a^2a

So,

12a^2a-8a

\mathrm{Rewrite\:}8\mathrm{\:as\:}4\cdot \:2

\mathrm{Rewrite\:}12\mathrm{\:as\:}4\cdot \:3

4\cdot \:3a^2a-4\cdot \:2a

\mathrm{Factor\:out\:common\:term\:}4

4\left(3a^3-2a\right)

Thus, the expression 12a^3-8a=\:4\left(3a^3-2a\right) is completely factored.

<u>Solving third expression</u>

  • 16a^5-20a^3\:\:\:\:\:\:\:\:\:\:\:\:

16a^5-20a^3

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c

a^5=a^2a^3

So,

16a^2a^3-20a^3

\mathrm{Rewrite\:}20\mathrm{\:as\:}4\cdot \:5

\mathrm{Rewrite\:}16\mathrm{\:as\:}4\cdot \:4

4\cdot \:4a^2a^3-4\cdot \:5a^3

\mathrm{Factor\:out\:common\:term\:}4a^3

4a^3\left(4a^2-5\right)

Thus, the expression 16a^5-20a^3\:=4a^3\left(4a^2-5\right) is completely factored.

<u>Solving fourth expression</u>

  • 24a^4+18

24a^4+18

\mathrm{Rewrite\:}18\mathrm{\:as\:}6\cdot \:3

\mathrm{Rewrite\:}24\mathrm{\:as\:}6\cdot \:4

6\cdot \:4a^4+6\cdot \:3

\mathrm{Factor\:out\:common\:term\:}6

6\left(4a^4+3\right)

Thus, the expression 24a^4+18=6\left(4a^4+3\right) is completely factored.

Keywords: expression, factoring

Learn more about expression factoring from brainly.com/question/14051207

#learnwithBrainly

8 0
4 years ago
The scatter plot and a line of best fit show the relationship between the number of hours Jimmy used his electronic gadgets and
soldier1979 [14.2K]

Answer:

can you take a picture of the scatter plot or show the data for it? Then I can help you.

Step-by-step explanation:

6 0
3 years ago
34​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
finlep [7]

Answer:

a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.

c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

Step-by-step explanation:

There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem, we have that:

10 student are sampled, so n = 10

34% of college students say they use credit cards because of the rewards program, so \pi = 0.34

(a) exactly​ two

This is P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

(b) more than​ two

This is P(X > 2).

Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:

P(X \leq 2) + P(X > 2) = 1

P(X > 2) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

So

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{10,0}.(0.34)^{0}.(0.66)^{10} = 0.0157

P(X = 1) = C_{10,1}.(0.34)^{1}.(0.66)^{9} = 0.0808

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0157 + 0.0808 + 0.1873 = 0.2838

P(X > 2) = 1 - P(X \leq 2) = 1 - 0.2838 = 0.7162

There is a 71.62% probability that more than two students use credit cards because of the rewards program.

(c) between two and five inclusive

This is:

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X = 3) = C_{10,3}.(0.34)^{3}.(0.66)^{7} = 0.2573

P(X = 4) = C_{10,4}.(0.34)^{4}.(0.66)^{6} = 0.2320

P(X = 5) = C_{10,5}.(0.34)^{5}.(0.66)^{5} = 0.1434

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1873 + 0.2573 + 0.2320 + 0.1434 = 0.82

There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

6 0
3 years ago
A band sold out 4 of its last 20 shows. What is the experimental probability that the band's
kykrilka [37]

Answer:

\frac{1}{5} probability

Step-by-step explanation:

P(Sold Out)= \frac{4}{20}

\frac{4}{20} =\frac{1}{5}

So since the experimental probability is the number of times an event occurs out of the total number of trials...

The answer to "what is the experimental probability that the band's  next show will be sold out?" Is \frac{1}{5}!!!

Hope this helped you!

Have a nice evening!

8 0
3 years ago
I'm confused can someone please help me out?​
Anika [276]

Answer:

0.4375

Step-by-step explanation:

if F=ma that to find the acceleration then use the formula a = F/m which gives you 0.4375

<h2><u><em>**Please rate 5 give thanks and vote brainliest**</em></u></h2>
6 0
3 years ago
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