Ask question

Ask question

All categories

3 years ago

8

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

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:

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

You might be interested in

Select the correct answer from each drop-down menu. A self-service car wash charges $4 for the initial 5 minutes plus an additio

arlik [135]

Answer: For $m\geq15$

$\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5$

Nick does not has enough money to follow this recommendation.

Step-by-step explanation:

Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.

Let y be the cost for car wash for m minutes then

$y=4+0.75(m-5)$ such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.

Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.

For $m\geq15$

$\\\Rightarrow\ y=4+0.75(m-5)\geq4+0.75(15-5)\\\Rightarrow\ y\geq4+0.75(10)\\\Rightarrow\ y\geq4+7.5\\\Rightarrow\ y\geq11.5$

But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.

7 0

3 years ago

Read 2 more answers

A bus entered the freeway and traveled at a constant speed of 80 mph. Two hours later a second bus followed the first bus, enter

Wittaler [7]

Answer:

It will take about 15-20 Minutes to catch up to that bus.

Step-by-step explanation:

65+ 20= 85 so its a tad bit over but it works.

6 0

3 years ago

If you earn $12 an hour and you work 40 hours a week,<br> how much do you earn a month?

qaws [65]

Answer:

$1,920

Step-by-step explanation:

you multiply 12 by 40. then, assuming a typical month is 4 weeks, you multiply that number by 4.

4 0

3 years ago

Read 2 more answers

Put 1.12 2.10 3.11.40 4.10.48 5.10.95 6.10.72 7.11.53 in a number line

dexar [7]

Answer:Add them up

Step-by-step explanation:

7 0

3 years ago

Which expression is represented by this model?

Sav [38]

Answer:

the correct answer is A

6 0

2 years ago

Read 2 more answers