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Phoenix [80]
3 years ago
11

Given system 2x-4=5 5x+4y=2 Solve for x and y and SHOW ALL OF YOUR WORK

Mathematics
1 answer:
Georgia [21]3 years ago
5 0
I'm solving your system by substitution.
2x-4=5, 5x+4y =2
Step# 1: solve for x
2x - 4+ 4= 5 + 4( add +4 to both sides)
2x = 9
x = 9/2
Step# 2: solve for y

5(9/2) + 4y = 2
4y + 45/2 = 2 
4y 45
y = 45/4 = 11.25
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xz_007 [3.2K]

Answer: x = 1.5

Step-by-step explanation:

Subtract 3 from each side.

2x = 3

Divide both sides by 2

x = 1.5

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Step-by-step explanation:

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3 years ago
What is the sum of 1/12 plus 3/8 in a fraction?<br><br> A.1/6<br> B.1/5<br> C.11/48<br> D.11/24
Nuetrik [128]
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According to the rational root theorem what are all the potential rational roots of f(x)=9x^4-2x^2-3x+4
8_murik_8 [283]

Answer:

+/- 1, \frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9} ....

Step-by-step explanation:

The Rational root theorem states that If f(x) is a Polynomial with integer coefficients and if there exist a rational root of the form p/q then p is the factor of the constant term of the function and q is the factor of the  leading coefficient of the function

Given: f(x)= 9x^4-2x^2-3x+4

Factors of q (leading coefficient) are: +/-9, +/-3, +/-1

Factors of p (constant term) are: +/-4 , +/-2, +/- 1

According to the theorem we write the roots in p/q form:

Therefore,

p/q =+/- 1, \frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9} ....

7 0
3 years ago
Select the correct answer.
joja [24]

Answer:

D. 21/2

Step-by-step explanation:

We simply have to evaluate the first three terms based on the progression's formula:

t= 1,  the first term is 8, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{1-1} = 8 * 1 = 8

t=2, the second term is 2, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{2-1} = 8 * \frac{1}{4} = 2

t=3, the third term is 1/2, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{3-1} = 8 * \frac{1}{16} = \frac{1}{2}

The sum of the first 3 terms is then: 8 + 2 + 1/2 = 10 1/2

Among the answer choices, D. 21/2, which is 10 1/2.

3 0
3 years ago
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