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larisa [96]
3 years ago
8

Find the solutions to the equation below. Check all that apply. 30x^2-26x+4=0

Mathematics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

<h2>B. x = 1/5</h2><h2>F. x = 2/3</h2>

Step-by-step explanation:

30x^2-26x+4=0\\\\30x^2-20x-6x+4=0\\\\10x(3x-2)-2(3x-2)=0\\\\(3x-2)(10x-2)=0\iff3x-2=0\ \vee\ 10x-2=0\\\\3x-2=0\qquad\text{add 2 to both sides}\\\\3x=2\qquad\text{divide both sides by 3}\\\\x=\dfrac{2}{3}\\\\10x-2=0\qquad\text{add 2 to both sides}\\\\10x=2\qquad\text{divide both sides by 10}\\\\x=\dfrac{2:2}{10:2}\\\\x=\dfrac{1}{5}

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Which binomials below is a factor of this trinomial 5x^2-5x-100
34kurt
We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:
5x² - 5x - 100 let the problem equal to zero such as:
5x² - 5x - 100 = 0 , factor out 5 from the given trinomial
5(x²-x-20) = 0
5 (x-5)(x+4) = 0

The correct factor is 5(x-5)(x+4).
3 0
3 years ago
A newspaper reporter says that a company made 700,000 profit last year it says this was 12% more then the year before . Work out
Dmitriy789 [7]

Answer:

625000

Step-by-step explanation:

x+12%= 700000

x*1.12=700000

x=700000/1.12

x=625000

4 0
3 years ago
John is twice as old as his son. In 42 years, the ratio of their ages will be 4:3. What is the son's current age?
dsp73

Answer: Jhon is 42 years old, and his son is 21 years old.

Step-by-step explanation:

Let's define:

J = John's age

S = Age of the son.

We know that:

"John is twice as old as his son"

J = 2*S

"In 42 years, the ratio of their ages will be 4:3. What is the son's current age?"

In 42, their ages will be:

J + 42 and S + 42.

And the ratio 4:3 means that:

(J + 42) = (4/3)*(S + 42)

Then we have the system of equations:

J = 2*S

(J + 42) = (4/3)*(S + 42)

To solve it we can first replace the first equation into the second one, to get:

(2*S + 42) = (4/3)*(S + 42)

2*S  - (4/3)*S = (4/3)*42 - 42

S*(6/3 - 4/3) = (1/3)*42

S*(2/3) = (1/3)*42

S = (3/2)*(1/3)*42 = 21.

And we can find Jonh's age if we use the first equation:

J = 2*S = 2*21 = 42

Jhon is 42 years old, and his son is 21 years old.

8 0
3 years ago
1. Solve the following proportion x/2 = 8/9
Ivanshal [37]
X/2=8/9   | *2
x=16/9≈ 1,78

2. 1 $.........1,09 Euro
      x$...........157 Euro

x=157*1/1,09≈144,04 $
5 0
3 years ago
Y/-2 = -34<br> giving brain.
podryga [215]

Answer:

y=68

Step-by-step explanation:

7 0
3 years ago
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