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Mamont248 [21]
3 years ago
10

A line passes through the points (4, -1) and (2,3). What is the slope of the line?

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

image attached!

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For the love of God help me !! I'm desperate for it tomorrow
USPshnik [31]
D:5x-2>0 \wedge x>0 \wedge x-1>0\\D:5x>2 \wedge x>0 \wedge x>1\\D: x>\frac{2}{5} \wedge x>1\\D:x>1\\\log_2(5x-2)-\log_2x-\log_2(x-1)=2\\\log_2\frac{5x-2}{x(x-1)}=\log_24\\\frac{5x-2}{x(x-1)}=4\\4x(x-1)=5x-2\\4x^2-4x=5x-2\\4x^2-9x+2=0\\4x^2-x-8x+2=0\\x(4x-1)-2(4x-1)=0\\(x-2)(4x-1)=0\\x=2 \vee x=\frac{1}{4}\\\frac{1}{4}\not \in D \Rightarrow \boxed{x=2}
8 0
3 years ago
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An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

6 0
3 years ago
If LN=54 and LM=31, find MN
kirza4 [7]
In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN. 

The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
             LN + LM = MN

We are given with the lengths of the smalller segments and substituting the known values,
             MN = 54 + 31
            MN = 85

<em>ANSWER: MN = 85</em>
7 0
3 years ago
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A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dol
ollegr [7]
This is a simple exercise with rates.
You just have to divide the total profit of the store, that year, per the profit of the particular store.


[3.0479×10⁸ dollars] ÷ [2.102×10⁶ dollars] = 1,45 x 10²





7 0
4 years ago
1/3 (q + 3) = 5<br> What is Q? <br> Explain why<br> 1/3 is a fraction
Harrizon [31]

Answer:

q=12.

Step-by-step explanation:

1/3(q+3)=5 can be translated to (q+3)/3=5.

Multiply each side by 3 to get q+3=15.

Subtract 3 from each side to get q=12.

Can you explain what you mean by "Explain why 1/3 is a fraction?"

7 0
3 years ago
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