All categories

3 years ago

Inequality Match Up Lab

Mathematics

2 answers:

Delvig [45]3 years ago

7 0

Answer:

1. 2x+3<-3 = x<-3

You get this by subtracting 3 from both sides, which gives you -6. Then divide 2 from both sides.

2. -3x<-6 = x>2

You divide -3 from both sides. You must switch the sign because any time you multiply or divide a negative integer from both sides of an inequality the sign is switched.

3. -5x<5 = x>1

See number 2

4. 5-2x<11 = x>-3

Subtract 5 from both sides to get -2x<6. Then, divide both sides by -2 and switch the sign.

5. x+2<5 = x<3

Subtract 2 from both sides

6. 2-3x<5 = x>-1

Subtract 2 from both sides to get -3x<3. Then, divide -3 from both sides and switch the sign.

Artist 52 [7]3 years ago

5 0

1. 2x+3<-3 = x<-3
You get this by subtracting 3 from both sides, which gives you -6. Then divide 2 from both sides.

2. -3x<-6 = x>2
You divide -3 from both sides. You must switch the sign because any time you multiply or divide a negative integer from both sides of an inequality the sign is switched.

3. -5x<5 = x>1
See number 2

4. 5-2x<11 = x>-3
Subtract 5 from both sides to get -2x<6. Then, divide both sides by -2 and switch the sign.

5. x+2<5 = x<3
Subtract 2 from both sides

6. 2-3x<5 = x>-1
Subtract 2 from both sides to get -3x<3. Then, divide -3 from both sides and switch the sign.

You might be interested in

Describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 2 feet and 40

Marrrta [24]

Answer:

The length of the third side is between 16 inches and 64 inches.

Step-by-step explanation:

The length of a side of a triangle is between the sum and the difference of the lengths of the other two sides.

First, we need both sides in the same units. Let's convert feet to inches.

2 ft * (12 in.)/(ft) = 24 in.

The sides measure 24 inches and 40 inches.

Now we add and subtract the two lengths.

40 in. + 24 in. = 64 in.

40 in. - 24 in. = 16 in.

The length of the third side is between 16 inches and 64 inches.

8 0

3 years ago

What is the linear equation: y=-5x-3 in standard form

tester [92]

5x+y=-3 is the standard form

8 0

3 years ago

第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows

tatuchka [14]

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

$P(A/B)=\frac{P(A)*P(B/A)}{P(B)}$

let A be the event that the student knows the answer .

B be the event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

$P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}$

Probability that the answer is correct ,given that he knows the answer is

$P(E/A)=1$

Probability that the answer is correct ,given that he guesses it is

$P(E/B)=\frac{1}{3}$ [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability $P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}$

Substituting the values we get

$P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }$

$=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}$

Therefore , the chances that the student was merely guessing is 1/3.

Learn more about Probability here brainly.com/question/13140147

#SPJ4

8 0

1 year ago

ABC was dilated to create A' B' C'. What is the center of dilation? And what is the scale factor of the dilation?

Virty [35]

Given:

In the given figure the vertices of triangle ABC are A(-2,2), B(4,2), C(-2,-2).

The vertices of triangle A'B'C' are A'(-4,4), B'(8,4), C'(-4,-4).

To find:

The center of dilation and the scale factor.

Solution:

In the given graph, draw the lines AA', BB' and CC'. The intersection point of these lines is the center of dilation.

From the below graph, it is clear that the lines AA', BB' and CC' intersect each other at (0,0).

Therefore, the center of dilation is (0,0).

If a figure is dilated by factor k and the center of dilation is origin, then

$(x,y)\to (kx,ky)$

$A(-2,2)\to A'(k(-2),k(2))$

$A(-2,2)\to A'(-2k,2k)$

It is given that A'(-4,4). So,

$(-2k,2k)=(-4,4)$

On comparing both sides, we get

$-2k=-4$

$2k=4$

$k=\dfrac{4}{2}$

$k=2$

Therefore, the scale factor is 2.

4 0

3 years ago

Which of the following would NOT be

Sladkaya [172]

I think it’s B but I’m not sure. It seems (most likely) to be newspaper

4 0

2 years ago