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3 years ago

14.

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

5 0

Answer:

y ≤ –3x + 5

Step-by-step explanation:

tatuchka [14]3 years ago

4 0

Answer:

Step-by-step explanation:

y-intercept is positive 5 so that eliminates answer choices A and C

to decide between B and D, select a point in the solution area; for example, (0, 0). Plug these values into B and D and see which one it is true for

B) 0 ≥ -3(0)-5

Is 0 ≥ -5 Yes

D) 0 ≤ -3(0)-5

Is 0 ≤ -5 No

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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

$y\leq 40-x$ ....(1)

$y\leq x-20$ ...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

$y=-x+40$ ...(3)

$y=x-20$ ...(4)

Adding equation (3) and (4) we get

$2y=20$

$y=10$

Substitute y=10 in equation (3) we get

$10=40-x$

$x=40-10=30$

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

$y=40$

Substitute y=0 in equation (3)

$x=40$

Substitute x=0 in equation (4)

$y=-20$

Substitute y=0 in equation (4)

$x=20$

Substitute x=0 and y=40 and in equation (1)

$40\leq 40$

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

$-20\leq -20$

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0

3 years ago

Read 2 more answers

Fiona and Camilla took a load of peaches to the farmer’s market. During the first hour, they sold ½ of the peaches plus ½ of a p

Lana71 [14]

<em>They took 101 peaches to market.</em>

<u>Check:</u>

In the 1st hour, they sold (101/2 + 1/2) = 102/2 = 51. They had 50 left.

In the 2nd hour, they sold (50/3 + 1/3)=51/3=17. They had (50-17)=33 left.

In the 3rd hour, they sold (33/4 + 3/4) = 36/4 = 9. They had (33-9) = 24 left.

In the final hour, they sold (24/5 + 1/5) = 25/5 = 5. They had (24-5) = 19 left. yay!

Fiona and Camilla took their 19 remaining peaches and went home. Sharing with
their parents and their brother Rowlf, each person had 3.8 peaches for dinner.
There was a lot of activity in the bathroom overnight.

================================================

The key to solving this one is to work it backwards.

-- They had 19 peaches left at the end of the day.

-- During the final hour, the 1/5 of a peach that they sold left them with 19,
so they had 19-1/5 before they sold the 1/5 of a peach.
The 19-1/5 was 4/5 of what they had at the beginning of the final hour.
So, at the beginning of the final hour, they had (5/4)x(19.2) = 24 .

-- During the 3rd hour, the 3/4 of a peach that they sold left them with 24,
so they had 24-3/4 before they sold the 3/4 of a peach.
The 24-3/4 was 3/4 of what they had at the beginning of that hour.
So, at the beginning of the 3rd hour, they had (4/3)x(24.75) = 33 .

Do the same for the 2nd hour.

Then do the same for the 1st hour.

And you'll work your way back up to 101 peaches.

4 0

4 years ago

If C is the midpoint of EF, C has coordinate -8, F has coordinate 4, then find the coordinate of E

ycow [4]

<h3>Answer: -20</h3>

==========================================================

Work Shown:

Let x be the location of E on the number line.

Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2

midpoint = (endpoint1 + endpoint2)/2

C = (E+F)/2

Plug in E = x, C = -8 and F = 4. Then solve for x

C = (E+F)/2

-8 = (x+4)/2

(x+4)/2 = -8

x+4 = 2(-8) .... multiplying both sides by 2

x+4 = -16

x = -16-4 .... subtract 4 from both sides

x = -20

The location of point E on the number line is -20

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

As a check, lets add E and F to get E+F = -20+4 = -16

Then cut this in half to get -16/2 = -8, which is the proper location of point C

This confirms our answer.

8 0

3 years ago

What are the graphs of y=sinx and y=cosx in the interval from -2 pi to 2 pi?

g100num [7]

I used Excel to create the tables and the graphs.

I attached both the tables and the graphs.

You should replace the numbers of the x-axis (in both graphs) by the numbers as a fraction of pi. Those numbers are also included in the table, so you should not have problems with that.

Open and see tha file attached with the answer to your question..

Download pdf

5 0

3 years ago

Evaluate the expression 4⋅f(6)−6⋅g(5)

sladkih [1.3K]

Answer:

send full question

Step-by-step explanation:

4 0

3 years ago