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barxatty [35]
3 years ago
8

3x + 4y = 19/3x +6y = 33

Mathematics
2 answers:
algol [13]3 years ago
5 0

Answer:

(-3,7)

Step-by-step explanation:

These set of problems are called system of equations.

In this case, we can subtract the top equation from the bottom one. Our goal is to get rid of one variable.

3x + 4y = 19

3x + 6y = 33

2y = 14

Do the algebra and all that good stuff =-)

y = 7

Now, we need to substitute y=7 in every equation.

3x + 4(7)=19

Do the multiplication

3x + 28 = 19

3x = -9

x = -3

Great! We got the x value, but we need to plug y=9 into the other equation to make sure our answer is correct.

3x + 6(7) =33

So the multiplication

3x + 42 = 33

3x = -9

x = -3

All these system of equation problems need to be written as an ordered pair.

(X,Y)

(-3,7)

Tom [10]3 years ago
3 0
3x + 4y = 19
3x + 6y = 33
2y = 14
y = 7
3x + 28 = 19
3x = -9
x = -3
3x + 42 = 33
3x = -9
x = -3
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andriy [413]
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3

Let's check all functions.
1. The function f(x)=x²<span>+2x when evaluated with 3 gives you the value of 3:
  Evaluated with x means that</span> x = 3.
   f(3) = 3² + 2 * 3 = 9 + 6 = 15 
   15 ≠ 3, so, this is not correct.

2. f(x)=x²<span>-3x when evaulated with -3 give you the value of 3
    Evaluated with -3 means that x = -3.
    (f-3) = (-3)</span>² - 3 * (-3) = 9 + 9 = 18 
    18 ≠ 3, so, this is not correct.

3. f(x)=x²<span>+2x when evaluated with -3 gives you the value of 3
</span>    Evaluated with -3 means that x = -3.
    f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
    3 = 3, so this is correct.

4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
    Evaluated with 3 means that x = 3.
    f(3) = (3)² - 3 * 3 = 9 - 9 = 0
    0 ≠ 3, so this is not correct.
6 0
4 years ago
Read 2 more answers
Evaluate Functions<br> Given f(x) = 2x + 6 and g(x) = 5x - 1<br> Evaluate f(-2)
ZanzabumX [31]

Answer:

f(-2) = -4x + 6

Step-by-step explanation:

f(x) = 2x + 6

f(-2) = -2(2x) + 6

f(-2) = -4x + 6

4 0
3 years ago
Read 2 more answers
Heather finished the 12-kilometer race in 2 hours. If Heather kept her pace constant, what was her rate? A. 24 km/hr. B. 14 km/h
andriy [413]

Answer: D, 6km/hr.

Step-by-step explanation:

Heather can finish a 12-kilometer race in 2 hours, and now we have to find how many kilometers she can ride/run at in 1 hour.

How many hours can Heather run in 1 hour? To solve that, we can use the equation 12 ÷ 2.

12 ÷ 2 = 6.

Therefore, if Heather keeps her pace constant, then her rate will be 6km/hr, or D.

7 0
3 years ago
What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?
mixas84 [53]

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

a_4=a_1+(n-1)d

Therefore

For seventh term

5=23+(6)d\\\\d=5-23/(6)\\\\d=-3

Therefore

For Fourth term

a_4=23+(3*(-3))

a_4=14

For more information on this visit

brainly.com/question/23366835

4 0
3 years ago
When factoring, what should be the greatest common factor of the terms left inside the parenthesis?
skad [1K]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
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