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Ronch [10]
2 years ago
8

What’s three points that satisfy the system of inequality’s of 4x+6y<24

Mathematics
1 answer:
Vlada [557]2 years ago
8 0

Answer:

(0,0), (1,1), (2,2)

Step-by-step explanation:

When testing to find possible points in situations like this, I always start by testing with the origin point (0,0).

In this case:

4x+6y<24 ==> 0 + 0 < 24  TRUE, it satisfies the inequality.

We then try with (1,1):

4x+6y<24 ==> 4 + 6 < 24  TRUE, it satisfies the inequality.

And with (2,2):

4x+6y<24 ==> 8 + 12 < 24  TRUE, it satisfies the inequality.

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Solve the following system of equations and show all work. Please help!!! y = 2x2 y = –3x −1
Mice21 [21]
We can solve these equations by using substitution method where you substitute one equation to the other and solve for the value of the other variable. We do as follows:

y = 2x^2
y = –3x −1

2x^2 = –3x −1
2x^2 +3x +1 = 0

x1= -0.5
x2 = -1
y1 = 0.5
y2 = 2
6 0
2 years ago
Read 2 more answers
Part B: Solve 2a − 5d = 30 for d. Show your work. (6 points)
stich3 [128]
<span>Given Equation: 2a − 5d = 30 

Solution:

2a - 5d = 30

-5d = 30 -2a

d = ( 30 - 2a )/ (-5)

  =  -6 + (2a/5) 

  = (2a/5) - 6

I hope this helps</span>
3 0
3 years ago
What is the best method to geometrically show the addition of complex numbers?
Jlenok [28]

Answer:

Multiplying a complex number by a real number

Explanation:

For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0. Similarly, when you multiply a complex number z by 1/2, the result will be half way between 0 and z.

8 0
2 years ago
Solve the system by substitution.
Butoxors [25]

<u>Answer:</u>

The solution set of given equations -x-y-z = -8 and - 4x + 4y + 5z = 7 and 2x + 2z = 4  is (3, 6, -1)

<u>Solution:</u>

Given, set linear equations are

-x – y – z = -8 ⇒ x + y + z = 8 → (1)

-4x + 4y + 5z = 7 ⇒ 4x – 4y – 5z = -7 → (2)

2x + 2z = 4 ⇒ x + z = 2 → (3)

We have to solve the above given equations using substitution method.

Now take (3), x + z = 2 ⇒ x = 2 – z  

So substitute x value in (1)  

(1) ⇒ (2 – z) + y + z = 8 ⇒ 2 + y + z – z = 8 ⇒ y + 0 = 8 – 2 ⇒ y = 6.

Now substitute x and y values in (2)

(2) ⇒ 4(2 – z) – 4(6) – 5z = - 7 ⇒ 8 – 4z – 24 – 5z = -7 ⇒ -9z – 16 = -7 ⇒ 9z = 7 – 16 ⇒ 9z = -9 ⇒ z = -1

Now substitute z value in (3)

(3) ⇒ x – 1 = 2 ⇒ x = 2 + 1 ⇒ x = 3

Hence, the solution set of given equations is (3, 6, -1).

4 0
3 years ago
Marjorie wrote the fraction 7/10 as a fraction with a denominator of 100. She wrote the fraction as a decimal. Find and correct
Tatiana [17]
It would be 70/100 because you are multiplying the denominator by 10 which equals 100 so you must do the same to the other side which would be 70. There fore the decimal would be 0.70.
3 0
2 years ago
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