Ask question

Ask question

All categories

3 years ago

14

A and b are subsets of u such that a = {multiples of 3}, b = {factors of 24}. u = {x|x is an integer, 2 < x < 10} list the

elements of (i) u ; (ii)
b.

1 answer:

Alina [70]3 years ago

7 0

U = {3, 4, 5, 6, 7, 8, 9}

b = {3, 4, 6, 8}

You might be interested in

Solve this equations 3x+4x-8=6(x-3)+x

Irina-Kira [14]

Answer:

no solutions

Step-by-step explanation:

8 0

1 year ago

A cab company offers a special discount on fare to senior citizens. The following expression models the average amount a cab dri

steposvetlana [31]

Answer:

D. The constant 250 represents the average collection when no seniors ride.

Step-by-step explanation:

A -- the entire expression represents the driver's pay, not just the constant 250.

B -- collections continue to increase as x goes up, so 250 is the minimum, not the maximum.

C -- x is the number of seniors; 250 is in units of collections (dollars?), not numbers of seniors.

D -- indeed, 250 is the "y-intercept" of the expression, hence the collection when no seniors ride.

4 0

2 years ago

25. 232 children and 45 adults are going on a field trip. Each bus can seat 40

geniusboy [140]

Answer:

A) 7 buses

B) 3 empty seats

Step-by-step explanation:

1. find total number of people

$232 children + 45 adults = 277 total people$

2. divide

$\frac{277 people}{40 people per bus} = 6 remainder 37$

this tells us that there will be 6 buses that will be full, and the 7th bus will have 37 out of the 40 seats full...

6 0

3 years ago

Write word problems that represent each way you can use a remainder in a division problem include Solutions

Galina-37 [17]

Skittles come in packages of 10. Arthurate 25 Skittles. How many whole boxes didhe eat and how many Skittles does he haveleft?

Answer: He ate 2 and 1/2

7 0

2 years ago

Read 2 more answers

Need 2 more. 50 points!<br><br> Please show work, Thanks! :)

rjkz [21]

Answer:

1) C

2) C

Step-by-step explanation:

Question 1)

We want a parabola that has the vertex (-8, -7) and also passes through the point (-7, -4).

So, we can use the vertex form. Remember that the vertex form is:

$y=a(x-h)^2+k$

Where a is our leading co-efficient and (h, k) is our vertex.

We know that our vertex is (-8, -7). So, substitute this into the equation:

$y=a(x-(-8))^2+(-7)$

Simplify:

$y=a(x+8)^2-7$

Now, we need to determine the value of our a. To do so, we can use the point the problem had given us. We know that the graph passes through (-7, -4).

So, when x is -7, y is -4. Substitute -7 for x and -4 for y:

$(-4)=a((-7)+8)^2-7$

Solve for a. Add within the parentheses:

$-4=a(1)^2-7$

Square:

$-4=a-7$

Add 7 to both sides. Therefore, the value of a is:

$a=3$

So, our entire equation in vertex form is:

$y=3(x+8)^2-7$

Our answer is C.

Question 2)

We are given a graph and are asked to find the equation of the graph.

Again, let's use the vertex form. From the graph, we can see that the vertex is at (-2, 2). Let's substitute this into our vertex equation:

$y=a(x-(-2))^2+2$

Simplify:

$y=a(x+2)^2+2$

Again, we need to find the value of a.

Notice that the graph crosses the point (-1, 5).

So, let's substitute -1 for x and 5 for y. This yields:

$5=a((-1)+2)^2+2$

Solve for a. Add within the parentheses.

$5=a(1)^2+2$

Square:

$5=a+2$

Subtract 2 from both sides. So, the value of a is:

$a=3$

Therefore, our entire equation is:

$y=3(x+2)^2-2$

Our answer is C.

And we're done!

3 0

3 years ago