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miv72 [106K]
3 years ago
15

Select the system of linear inequalities whose solution is graphed.

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

y\geq 3x-1 ; x+3y\leq 6

Step-by-step explanation:

we know that

step 1

Find the inequality of the solid line x+3y=6

The solution is the shaded area below the solid line

therefore

The equation of the inequality is

x+3y\leq 6

step 2

Find the inequality of the solid line y=3x-1

The solution is the shaded area above the solid line

therefore

The equation of the inequality is

y\geq 3x-1

therefore

The system of linear inequalities is

y\geq 3x-1 ; x+3y\leq 6

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Which describes the difference between the two sequences?
swat32

Answer:

the sequence is geometric sequence with common ratio (-2).

Option : D is correct.

Step-by-step explanation:

In this question table is given as

n          1          2         3           4            5

f(n)     48       -96      192      -385       768

We have to find out if the sequence is arithmetic or geometric.

For Arithmetic sequence :

Difference should be common in each term of fees.

common difference  = f(2) - f(1)

= -96 -48 = -144

similarly  = f(3) - f (2) = 192 + 96 = 288

Here,  ≠  so the sequence is not an arithmetic sequence.

For Geometric sequence :

Ratio  should be common in each term of f(n)

Common ratio  =

Therefore, the sequence is geometric sequence with common ratio (-2).

Option : D is correct.

8 0
2 years ago
What are the solutions of the equation 0=x^2-x-6
nikdorinn [45]
Min at (2,-4)
D=1-4*1*-6=25=> 2 real roots
x=3, -2
6 0
2 years ago
Arithmetic of Functions Problem:
timurjin [86]

Answer:

option B is correct, i.e. (f+g)(x) = x² + 3x - 5.

Step-by-step explanation:

Given f(x) = 3x + 1.

Given g(x) = x² - 6.

To find (f+g)(x).

The rule of Arithmetic of functions is:- (f+g)(x) = f(x) + g(x).

(f+g)(x) = (3x+1) + (x²-6).

(f+g)(x) = x² + 3x + 1 - 6.

(f+g)(x) = x² + 3x - 5.

Hence, option B is correct, i.e. (f+g)(x) = x² + 3x - 5.

4 0
3 years ago
Read 2 more answers
Find the value of y.<br> 18
Advocard [28]

Answer:30

Step-by-step explanation:

Since it is a right angled triangle we can apply Pythagoras principle to get y

Adjacent=a=18

Opposite=k=24

Hypotenuse =y

y=√(k^2+a^2)

y=√(24^2+18^2)

y=√(24x24+18x18)

y=√(576+342)

y=√(900)

y=30

8 0
3 years ago
A pail has a capacity 4 times that of a glass.
mariarad [96]

Answer:

smallest is 3L

biggest is 12L

Step-by-step explanation:

here is what i got, i hope it helps!

Pail=4 glasses

Jug=3 glasses

Glass=1 glass

4+3+1=8glasses

24L÷8glasses= 3L in each glass

pail=12L (4×3)

jug=9L (3x3)

glass=3L (1×3)

12L+9L+3L=24L

3 0
2 years ago
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