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3 years ago

Let p: x < −3

Mathematics

2 answers:

Serhud [2]3 years ago

8 0

Answer:

B. x > 3 or x < −3

Step-by-step explanation:

We are given that,

p: x < −3

q: x > 3

Since, we know that,

The symbol v is known as 'disjunction', which is in other words represented by 'union', 'or'.

Thus, 'p ∨ q' means 'either p holds or q holds'.

Hence, we get,

'p ∨ q' is represented by 'either x <-3 or x > 3'.

i.e. 'p ∨ q' is represented by 'either x > 3 or x <-3'.

Thus, option B is correct.

Cloud [144]3 years ago

7 0

Answer:

The answer is B

Step-by-step explanation:

Ed2020

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

In the equation 5x-2=-x-20, What is the value of x? a. 2 b. -1 c. -3 d. -2

mestny [16]

Answer:

C choice.

Step-by-step explanation:

$5x - 2 = - x - 20 \\$

First, we move the same terms to the same side.

$5x + x = - 20 + 2 \\ 6x = - 18$

Then we move 6 to divide - 18.

$x = \frac{ - 18}{6} \\ x = - 3$

7 0

3 years ago

A month of the year is chosen at random. What is the probability that the month starts with the letter Jor the letter M?

tamaranim1 [39]

Answer:

5 out of 12

5/12

January, March, May, June, July

There are three months whose name starts with the letter 'j': January, June, July

There are two months whose name starts with the letter 'm': March, May

So altogether, there are 5 months whose name starts with the letter 'j' or 'm'. So the possible outcome is 5 and total number of sample space is 12.

Therefore the required probability is: 5/12

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4 0

4 years ago

Read 2 more answers

There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45

nignag [31]

Part A

f(x)=30∗0.2xandf(x)=45+3x
___________________________________________________________

Part B

f(x)=30+0.2(5)f(x)=45+3(5)
Neighborhood A and neighborhood B both have 60 houses after 5 years

___________________________________________________________

Part C

1 year
A=36
B=48

2 years
A=42
B=51

3 years
A=48
B=54

4 years
A = 54
B = 57

5 years
A = 60
B= 60

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3 years ago

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Solve for k 5/8(3k+1)-1/4(7k+2)=1

lesya [120]

Answer:

Step-by-step explanation:

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3 0

3 years ago