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2 years ago

Can anyone help with this question?

Mathematics

1 answer:

Vlada [557]2 years ago

8 0

x-intercept = (2, 0)

y-intercept = (0, 7.5)

Step-by-step explanation:

The x-intercept can be found by setting y = 0. Thus,

$15x + 4(0) = 30 \Rightarrow x = 2$

Therefore, the x-intercept is (2, 0).

The y-intercept can be found by setting x = 0:

$15(0) + 4y = 30 \Rightarrow y = 7.5$

Therefore, the y-intercept is at (0, 7.5)

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Mark read 2 1/2 books last week. This week he read 3 1/3 books. How many more books did Mark read this week and last week?

nikklg [1K]

Answer:

5/6 books

Step-by-step explanation:

We know that Mark read 2 1/2 books last week. This week, he read a bit more with 3 1/3 books.

To find how many more books he read, we must subtract 2 1/2 from 3 1/3:

3 1/3 - 2 1/2

Let's convert these into improper fractions first:

3 1/3 = (3 * 3 + 1) / 3 = 10/3

2 1/2 = (2 * 2 + 1) / 2 = 5/2

Now, we have:

10/3 - 5/2

In order to subtract these, we must find a common denominator. For 2 and 3, the LCM is 6, so we can use that as our common denominator:

10/3 * 2/2 = 20/6

5/2 * 3/3 = 15/6

Finally, we have:

20/6 - 15/6 = (20 - 15) / 6 = 5/6 books

5 0

3 years ago

Which characteristic is correct for the function

JulijaS [17]

Answer:

Even function

Step-by-step explanation:

Both powers of x in f(x) = -3x^4 + 7x^2 are even, so f(x) = -3x^4 + 7x^2 is an even function.

4 0

2 years ago

Read 2 more answers

-5x=20 is x=-4? i need help and im not sure if thats correct.

Korvikt [17]

Answer:

Well if you put -4 where x is.. you still do get the answer of 20.

So that is correct.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Concert ticket sales of £21,000 are split in the ratio of 2 : 5 between the venue and the band.

ella [17]

Answer:

Step-by-step explanation:

£21000/7=3000

I got seven by adding 2 and 5

3000 times 2=6000

3000 times 5 = 15000

6000:15000

6000 for the venue

15000 for the band

6 0

3 years ago

A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou

Y_Kistochka [10]

Answer:

The distance between two cities is 60 miles.

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

Time taken to travel from A to B = 1.5 hours

Current speed = 5 mph

Let the speed of ferry in still water = u mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = $(u+5)\ mph$

While moving against the current, speed = $(u-5)\ mph$

Formula for Distance = Speed $\times$ Time

Distance traveled in each case is same i.e. D.

So,

$D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph$

Now,

$D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}$

So, the distance between two cities is 60 miles.

6 0

3 years ago