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Lemur [1.5K]
3 years ago
8

Find the intercepts of 6x – 2y = -24.

Mathematics
1 answer:
viva [34]3 years ago
7 0
The intercepts are where the line crosses the x and y axises

the x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0


so find them by setting other to zero

xint, y=0
6x-0=-24
6x=-24
divide 6
x=-4
xint is x=-4

yint, x=0
0-2y=-24
-2y=-24
divide -2
y=12
yint is y=12





xint: x=-4
yint: y=12

given options A.x=4, y=-12 B.x=-12, y=4 C.x=-4, y=12 D. x=12, y=4

the answer is C


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A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
ziro4ka [17]

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

8 0
2 years ago
A cylindrical well has a radius of 8 feet and a height of 13 feet. What is the volume of the well? Use 3.14 for pi. Round your a
Murrr4er [49]

Answer:

using pi *r^2 *h

volume = 2614.14 cubic ft

3 0
2 years ago
Read 2 more answers
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Fiesta28 [93]

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on  12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending  $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

 12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1  from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

5 0
3 years ago
What is​ 35 ​written as a percent?
Otrada [13]
It is written as 35% or 0.35

Hope this helps!! :)
6 0
3 years ago
Read 2 more answers
Help now plssss!!!!!
blondinia [14]

Answer:

common denominator = 24

1/8 = 3/24

1/6 = 4/24

Step-by-step explanation:

to find common denominator:

8 - 8, 16, 24

6 - 6, 12, 18, 24

7 0
2 years ago
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